Solving Quadratic Equations by Factoring
Answer:
are those 4 all answers or are they separate?
Step-by-step explanation:
A phone company advertises a new plan in which the customer pays a fixed amount
of $25 per month for unlimited calls in the country and $0.10 per minute for
international calls. If a customer paid 50 dollars, how many international minutes did
they use?
Answer:
it will take 30 minutesStep-by-step explanation:
obtain a formula
=> M = $0.10($p)+$25insert the value of p dollars
=> M = $0.10(50) + 25multiply 50 by 0.10
=> M = $5 + 25add 25 + 5
=> M = $30So it takes 30 minutes for international minutes Thank You
^_^
Marg Cardo Started to depet P1000 Quarterly in A Fund that pay 5% compounded Quarterly. How much will be Hi Fund affec 7 year
-What Will be the Future
The right response is C. Only X-values inside the original data's range give meaning to the prediction values.
A statistical model that depicts the relationship between two variables is a regression line. It is utilized to forecast the value of a dependent variable depending on the value of an independent variable (independent variable).
The degree to which the regression line matches the data determines how accurate these forecasts are. For values of the independent variable that are similar to the values used to fit the model, the regression line will typically offer the most precise predictions. Prediction values therefore typically only have significance for X-values that fall within or very near the range of the original data set.
The predictions might not be correct if you use the regression line to construct them for independent variable values that are far outside the original data range. This is because, outside of the range of the data that was used to construct the model, the model may not effectively represent the connection between the two variables.
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how many terms are in the following expressions x^2 + x^2 + y^2 + y^2
Answer:
4
Step-by-step explanation:
Terms are Separated by addition or subtraction signs!
Answer:
4
Step-by-step explanation:
Select the correct answer.
An image of a rectangle of twenty-eight feet in length and sixteen feet in width. A rectangle is highlighted at fourteen feet long and eight feet wide. A right-angle triangle is formed below the rectangle. Text reads: reserved section and lawn.
The city mayor wants to use the reserved section of a rectangular park for gardening lessons conducted by the city public school. The rest of the park will be turned into a lawn. What will the area of the lawn be?
A.
168 square feet
B.
224 square feet
C.
280 square feet
D.
448 square feet
The 280 square foot lawn is in the designated area of a rectangular park that the city mayor wishes to use for gardening.
By area, what do you mean?An object's area is how much space it takes up in two-dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure.
The square-unit, which is frequently expressed as square inches, square feet, etc., is the accepted unit of area.
The rectangular park's allocated area is intended to be used by the city's public school for gardening courses.
The remaining area of the park will be developed into a lawn.
What is the lawn's formula?
The lawn's area is equal to the sum of its triangular and rectangle areas.
Lawn Area = 14 × 16 +.5 × 8 × 14
A = 224 + 56
A = 280 Ft²
Therefore, the correct option is 280ft² which is option C.
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PLS HELP ASAP, I'll give BRAINLIEST
Find the length of the longest side of the triangle whose vertices are D(4,1), E(9,6) and F(5, -4).
Answer:
the answer is approximately 8.2 units.
165÷15 with remainder
Answer:
165/15 is 11. There is no remainder.
Step-by-step explanation:
Answer:
There is no remainder.
Step-by-step explanation:
165÷15=11
Hello help please thank you!
The value of the composite function are as follows:
(f - g)(x) = 2x² - x - 1
(f + g) = 2x² + x + 1
(f .g)(-2) = 2
How to solve composite functions?A composite function is a function that depends on another function. In other words, a composite function is a function that is within another function.
Therefore, let's solve the function as follows:
f(x) = 2x²
g(x) = x + 1
Therefore,
(f - g)(x) = f(x) - g(x) = 2x² - (x + 1) = 2x² - x - 1
(f + g) = f(x) + g(x) = 2x² + (x + 1) = 2x² + x + 1
(f .g)(-2) = f(g(-2))
g(-2) = -2 + 1 = -1
Hence,
(f .g)(-2) = 2(-1)² = 2
Therefore,
(f - g)(x) = 2x² - x - 1
(f + g) = 2x² + x + 1
(f .g)(-2) = 2
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How do you calculate chain rule?
Answer:
If y = f(g(x)), then as per chain rule the instantaneous rate of change of function 'f' relative to 'g' and 'g' relative to x results in an instantaneous rate of change of 'f' with respect to 'x'. Hence, the derivative of y will be given as, y' = f'(g(x)).
Step-by-step explanation:
If y = f(g(x)), then as per chain rule the instantaneous rate of change of function 'f' relative to 'g' and 'g' relative to x results in an instantaneous rate of change of 'f' with respect to 'x'. Hence, the derivative of y will be given as, y' = f'(g(x)).
Consider the expression 4(8x+5)4(8x+5)4, left parenthesis, 8, x, plus, 5, right parenthesis.
The given expression is 4(8x + 5). This is a product of a coefficient and a binomial expression. In mathematics, a binomial is a polynomial with two terms.
They are represented as ax + b or a + bx or (a + b) etc. Given expression is 4(8x + 5). We can simplify this by applying the distributive property. It is given as follows; The distributive property of multiplication states that a(b + c) = ab + ac To simplify the given expression, we need to multiply the coefficient 4 with each term in the parentheses.
It can be done as follows; 4(8x + 5) = 4*8x + 4*5 We multiply 4 with 8x and 4 with 5 to obtain; 32x + 20 This is the main answer. Therefore, the simplified form of 4(8x + 5) is 32x + 20. To simplify the given expression 4(8x + 5), we can use the distributive property. According to this property, the product of a number with the sum of two or more terms is equal to the sum of the products of that number with each term of the sum. In other words, a(b + c + …) = ab + ac + … In the given expression, 4 is multiplied with the binomial (8x + 5). Hence,
4(8x + 5) = 4*8x + 4*5
= 32x + 20
Hence, the simplified form of 4(8x + 5) is 32x + 20.
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The cot c in pound of hiring a van for d day i given by the formula c=1045d work out the cot for 5 day
The cost of hiring a van for 5 days is $235.
In this question, we have been given an equation c = 10 + 45d that represents the cost in pounds of hiring a van for days.
here c = cost in pounds
d = number of days
We need to find the cost of hiring a van for 5 days.
Substitute the value d = 5 in given equation.
c = 10 + 45d
c = 10 + (45 × 5)
c = 10 + 225
c = 235 dollars
Therefore, the cost for 5 days is 235 dollars
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PLS PLS HELP MEEEEEE!!
Answer:
First you can substitute y with the value of it. So -3x=(4x+17)+4. Once you've found x plug in that value in -3x and solve for y.
A ____________ can be used to help us determine the extent of how much an outcome is achieved.
A metric can be used to help us determine the extent of how much an outcome is achieved.
What is metric?A metric is a quantifiable gauge that is employed to assess, scrutinize, and appraise diverse facets of a system, procedure, or outcome. It furnishes a standardized and unbiased approach to gauge and monitor performance or advancement towards particular objectives or goals. Metrics are commonly formulated based on precise criteria or prerequisites and can manifest as numerical or qualitative in essence.
They find application in various domains such as commerce, finance, science, engineering, and myriad others to evaluate performance, facilitate well-informed decisions, and oversee progress over time.
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What is the DISTANCE between POINT A AND POINT C?
A. 5 units
B. 6 units
C. 2 units
D. 3 units
a Step-by-step explanation:
Tony believes that 10/25 can be rewritten as 40/100
Show how he knows below.
Answer:
He is right
Step-by-step explanation:
10/25 times 4/4 = 40/100
10 x 4 = 40
25 x 4 = 100
Answer:
Step-by-step explanation:
10/25
simplest form is2/5
For 40/100
=8/20
=2/5 is the simplest form
so he is right
-10x+y=-22 -8x+y=-18 solve by elimination
Answer:
x=2, y= -2
Step-by-step explanation:
Answer:
-10x+y=-22---------equation 1
-8x+y=-18----------equation 2
subtract eqn 1 and 2
-10x+y=-22
-8x+y=-18
(+) (-) (+)
__________
-2x=-4
or, x=2
put the value of x in equation 1 we get
-10×2+y=-22
y=-22+20
or, y = -2
therefore x=2 and y=-2 ans.
Write and algebraic expression:
The tens digit of a number is b and the units digit is twice as big. What is the value of the number in terms of b if the digits are reversed?
Answer:
21b
Step-by-step explanation:
Predicate logic 1. (x) (Px v Dx) 2. ~Da /Ра 2
1. (∃x)Gx ⊃ (y)(Hy)
2. GC /Hс
1. The first statement is a universally quantified predicate that states for all x, either Px or Dx is true.
2. The second statement is the negation of Da, which means Da is false. From this, we can infer that Pa is true.
1. The first statement, (∀x)(Px v Dx), expresses that for all x, either Px or Dx is true. This means that every element x satisfies the condition of being either Px or Dx. It does not specify which elements satisfy Px or Dx, but it applies to all x universally.
2. The second statement, ~Da, indicates that Da is false. From the negation of Da, we can infer the truth of its negation, which is Pa. Therefore, we can conclude that Pa is true based on the given information.
By combining the conclusions from the two statements, we can deduce the following:
- (∀x)(Px v Dx) is true for all x.
- ~Da is true, which implies Pa is true.
However, there is no direct relation or implication between Pa and the statement GC / Hc. Without further information or logical connections, we cannot derive the conclusion Hc based solely on the given premises.
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1. According to the podcast, why and how is chicken the reason American trucks dominate the truck market in the United States? Briefly explain. 2. Name two reasons a party (e.g., a politician or an industry association) may want to impose a tariff? 3. Who are they usually trying to protect? Who would be hurt by a tariff on automobiles? Explain. 4. Describe how competition encourages innovation? In your answer to this question, include a discussion on why American trucks "basically stayed the same over the years. 5. Describe ways foreign companies tried to get around American-imposed tariffs on automobiles. 6. Do you think the methods you described in your previous answer are efficient for an economy? Why or why not? 7. Lastly, how can a tariff be used as a bargaining chip? In your opinion, is that a good reason to impose tariffs - why or why not?
1. Chicken became the key product that drove the creation of the Interstate Highway System, which led to the dominance of American trucks in the US truck market.
2. A party may want to impose a tariff to protect domestic industries from foreign competition or to generate revenue for the government.
3. A party is usually trying to protect domestic industries, but a tariff on automobiles would hurt both domestic consumers who would pay higher prices and foreign producers who would face reduced demand.
4. Competition encourages innovation by providing incentives for companies to improve their products and services to stay ahead of their rivals; American trucks stayed the same because they faced little competition due to protectionist policies.
5. Foreign companies tried to get around American-imposed tariffs on automobiles by establishing factories in the US, forming joint ventures with American companies, or exporting through third countries.
6. The methods used to get around tariffs can be efficient in the short term, but they may not be sustainable or desirable in the long term as they can lead to trade imbalances and undermine the competitiveness of domestic industries.
7. Tariffs can be used as a bargaining chip to negotiate better trade deals, but they should be imposed judiciously and only as a last resort to avoid damaging the economy and harming consumers.
1. In the podcast, chicken is cited as the reason why American trucks dominate the truck market in the United States.
This is because in the 1960s, the government imposed regulations on the trucking industry that limited the amount of weight a truck could carry.
To get around these regulations, the industry started using smaller trucks to transport goods, which were often not strong enough to handle the weight.
However, they found that if they put chicken on the back of the trucks, the weight of the cargo would distribute more evenly and the smaller trucks could handle the load.
This led to the development of the modern pickup truck, which is now a staple of the American automobile market.
2. Parties may want to impose tariffs for various reasons, such as to protect domestic industries and jobs from foreign competition, to raise revenue for the government, or to level the playing field in international trade.
Two specific reasons for imposing tariffs could be to protect national security interests or to address unfair trade practices by other countries.
3. Tariffs are usually imposed to protect domestic industries and jobs, and the parties that are being protected are typically the producers of the goods or services in question.
However, tariffs can also harm consumers who may have to pay higher prices for imported goods or may have fewer choices in the marketplace. For example, if a tariff is imposed on automobiles, domestic car manufacturers may benefit, but consumers may have to pay more for cars, and foreign automakers may lose market share.
4. Competition encourages innovation by creating incentives for companies to improve their products or services to gain a competitive advantage.
In the case of American trucks, the lack of competition may have contributed to their lack of innovation over the years. Since they dominated the market, there was little pressure to improve or innovate, and as a result, they have largely stayed the same.
However, the rise of foreign competition in recent years has led American truck manufacturers to invest more in innovation to stay competitive.
5. Foreign companies have tried to get around American-imposed tariffs on automobiles in various ways, such as by moving production to countries not subject to the tariffs, by exporting parts and assembling them in the United States, or by lobbying the government for exemptions or tariff reductions.
6. The methods used by foreign companies to get around tariffs may not be efficient for the economy as a whole because they can lead to higher costs and inefficiencies in the supply chain.
However, they may be necessary for individual companies to remain competitive in the short term.
Ultimately, a more efficient solution would be to address the root causes of the trade imbalances that lead to tariffs in the first place.
7. A tariff can be used as a bargaining chip by threatening to impose tariffs on imports from a country unless they make concessions in trade negotiations.
While this can be an effective strategy in certain situations, it can also lead to a trade war and harm both economies.
In general, tariffs should be used sparingly and as a last resort, and efforts should be made to address underlying trade issues through diplomacy and negotiation.
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What is the slope of the line that goes through (-3, 8) and (5, 4)?
hope this answer helps you dear, hope u have a great day ahead!
Answer:
-0.5
Step-by-step explanation:
Slope (gradient) = (y₂ - y₁) / (x₂ - x₁)
When given 2 sets of coordinates i.e. (-3, 8) and (5, 4), one set (which can be any btw) would be the 1's and the other would be the 2's.
(If you didn't know before now; the x's come first and the y's come second in each set.)
So in this case the x's are -3 and 5 and the y's are 8 and 4.
The 1's can either be -3 and 8 or 5 and 4. Same for the 2's
I'll pick the first set as 1's and the second set as my 2's
Therefore, y₂ = 4; y₁ = 8; x₂ = 5; x₁ = -3
Slope = (4-8) / (5-(-3)); -4 / 8 = -0.5
100 POINTS THE QUESTION IS IN THE PICTURE
Answer:
Eli will finish first.
Step-by-step explanation:
Nora:
egg rolls...... 8x5= 40
time..... 10x5= 50 minutes
Eli:
egg rolls....... 10x4=40
time...... 12x4=48 minutes
Answer:
Eli will finish first.
Use 8/10 and 10/12. This represents how many spring rolls over how many minutes. Make your equations like this: 8/10 = 40/x and 10/12 = 40/x. Find x, which will give you the minutes it takes them to make 40 rolls.
You get x = 50 for the first one and x = 48 for the second. Nora makes 40 rolls in 50 minutes, and Eli makes 40 rolls in 48 minutes. Eli is faster.
Hope this helped! Please mark me brainliest!
Step-by-step explanation:
Is 6x + 9 = 9x an expression or equation?
Answer:
Step-by-step explanation:
this is an equation because it has an equal sign,
expressions do not have an = sign
Answer: Equation
Step-by-step explanation: This is an example of an equation.
Equations are mathematical sentences that contains an equals sign.
Mary is using a one-sample t-test on the following group: Subject #15: 7.5 hours Subject #27: 6 hours Subject #48: 7 hours Subject #80:6.5 hours Subject #91: 7.5 hours Subject #82: 8 hours Subject #23:5.5 hours Select the two TRUE statements. a.) The t-distribution that Mary uses has skinnier tails than a standard distribution. b.) The value for the degrees of freedom for Mary's sample population is six. c.) The t-distribution that Mary uses is taller than a standard distribution. d.) Mary would use the population standard deviation to calculate a t- distribution. e.) Mary would use the sample standard deviation to calculate a t-statistic. Teems need to be seleted
The two true statements are: b.) The value for the degrees of freedom for Mary's sample population is six, and e.) Mary would use the sample standard deviation to calculate a t-statistic.
a.) The t-distribution that Mary uses does not have skinnier tails than a standard distribution. In fact, the t-distribution has fatter tails, which accounts for the increased variability when working with small sample sizes.
b.) The degrees of freedom for Mary's sample population can be calculated as the number of subjects minus one, which in this case is 7 - 1 = 6. So statement b is true.
c.) The t-distribution that Mary uses is not taller than a standard distribution. The shape of the t-distribution is similar to the standard normal distribution, but it is slightly flatter.
d.) Mary would not use the population standard deviation to calculate a t-distribution. Instead, she would use the sample standard deviation, which provides an estimate of the population standard deviation.
e.) Mary would use the sample standard deviation to calculate a t-statistic. The t-statistic measures the difference between the sample mean and the hypothesized population mean, relative to the variability in the sample.
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Write 2.454545... as a fraction in lowest terms
490909/200000 is the answer
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1. The city commission wants to construct a new street that connects Main Street and North Boulevard asshown in the diagram below. The construction cost has been estimated at $110 per linear foot. Find theestimated cost for constructing the street. (1 mile = 5280 ft) one legs is 9 mi and the base is 6 mi but the hypotenuse is ?.
EXPLANATION
Since we have that the cost per linear foot is $110, and by applying the Pytagorean Theorem, we can get the value of the new street as shown as follows:
\(\text{Hypotenuse}^2=\text{shorter leg\textasciicircum{}2 + larger leg \textasciicircum{}2}\)Where shorter leg = 6 , larger leg = 9 and Hypotenuse = New Street
Substituting terms:
\(New_{\text{ }}street^2_{\text{ }}=6^2+9^2\)Applying the square root to both sides:
\(\text{New street}=\sqrt[]{117}\)Simplifying:
\(\text{New stre}et=3\sqrt[]{13}=10.82\text{ miles}\)Representing the length in ft units:
\(\text{New str}eet\text{ = 10.82 }\cdot\text{ }5280\text{ = }57129.6\text{ ft}\)Finally, the cost per linear foot will be:
\(\text{New stre}et=57129,6\text{ ft }\cdot\text{ }110\text{ =6,284,256}\)The cost of the street will be of $6,284,256
4. Show that the matrix [XX-X'Z(ZZ)-¹Z'X). where both the x & matrix X and the x matrix Z. have full column rank and m2, is positive definite. Discuss the implications of this result in econometrics.
To show that the matrix A = [XX - X'Z(ZZ)^(-1)Z'X] is positive definite, we need to demonstrate two properties: (1) A is symmetric, and (2) all eigenvalues of A are positive.
Symmetry: To show that A is symmetric, we need to prove that A' = A, where A' represents the transpose of A. Taking the transpose of A: A' = [XX - X'Z(ZZ)^(-1)Z'X]'. Using the properties of matrix transpose, we have:
A' = (XX)' - [X'Z(ZZ)^(-1)Z'X]'. The transpose of a sum of matrices is equal to the sum of their transposes, and the transpose of a product of matrices is equal to the product of their transposes in reverse order. Applying these properties, we get: A' = X'X - (X'Z(ZZ)^(-1)Z'X)'. The transpose of a transpose is equal to the original matrix, so: A' = X'X - X'Z(ZZ)^(-1)Z'X. Comparing this with the original matrix A, we can see that A' = A, which confirms that A is symmetric. Positive eigenvalues: To show that all eigenvalues of A are positive, we need to demonstrate that for any non-zero vector v, v'Av > 0, where v' represents the transpose of v. Considering the expression v'Av: v'Av = v'[XX - X'Z(ZZ)^(-1)Z'X]v
Expanding the expression using matrix multiplication : v'Av = v'X'Xv - v'X'Z(ZZ)^(-1)Z'Xv. Since X and Z have full column rank, X'X and ZZ' are positive definite matrices. Additionally, (ZZ)^(-1) is also positive definite. Thus, we can conclude that the second term in the expression, v'X'Z(ZZ)^(-1)Z'Xv, is positive definite.Therefore, v'Av = v'X'Xv - v'X'Z(ZZ)^(-1)Z'Xv > 0 for any non-zero vector v. Implications in econometrics: In econometrics, positive definiteness of a matrix has important implications. In particular, the positive definiteness of the matrix [XX - X'Z(ZZ)^(-1)Z'X] guarantees that it is invertible and plays a crucial role in statistical inference.
When conducting econometric analysis, this positive definiteness implies that the estimator associated with X and Z is consistent, efficient, and unbiased. It ensures that the estimated coefficients and their standard errors are well-defined and meaningful in econometric models. Furthermore, positive definiteness of the matrix helps in verifying the assumptions of econometric models, such as the assumption of non-multicollinearity among the regressors. It also ensures that the estimators are stable and robust to perturbations in the data. Overall, the positive definiteness of the matrix [XX - X'Z(ZZ)^(-1)Z'X] provides theoretical and practical foundations for reliable and valid statistical inference in econometrics.
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I need help with this please
The segment AB is a radius and the notation is ↔ AB
Writing the notation with the term that best describes the segment ABFrom the question, we have the following parameters that can be used in our computation:
The circle
On the circle, we can see that
The segment AB goes from the center of the circle to a point on the circle
A line that goes from the center of the circle to a point on the circle is the radius of the circle
This means that the segment AB is a radius and the notation is ↔ AB
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Which of the following is the best buy?
12 pens for $1.56
15 pens for $1.65
9 pens for $1.35
18 pens for $2.52
Answer:
B
Step-by-step explanation:
It cannot be D, because it costs way more, it cannot be C because there are other options that provide better value. We can finally determine that it is B because for 3 pens more it is only 9 cents more
Use the graph of the function to determine the indicated limit, if it exists. lim f(x) Select the correct choice below and fill in any answer boxes in your choice. A. lim f(x) = B. The limit does not exist and is neither conor -
lim (x → a) f(x) = ∞ , The limit does not exist and is neither ∞ nor - ∞
What is function?The vertical line test is used to verify function. That is, a graph must have a unique y value for it to be referred to as a function for a certain (unique) value of x. If for a particular x, and y values are coming it means it is not a function. If it crosses y-axis twice it means for a particular x value , two different value of y will exist. And that is not possible for a function
From the graph, we know that limit at point a is:
lim (x→a) f(x) exists if and only if
lim (x →a⁺) f(x) = lim (x→a⁻) f(x) and ≠ ∞
∴ right hand side limit = left hand side limit
lim (x →a⁺) f(x) = - ∞
lim (x →a⁻) f(x) = - ∞
∴ lim (x → a) f(x) = ∞
thus, option B is the correct answer.
The limit does not exist and is neither ∞ nor - ∞
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The roots of the equation f(x) = 0 are 1 and -2. The roots of f(2x) = 0) are - - (A) 1 and -2 (B) and - 1 (C) and 1 2 2 (D) 2 and -4 (E) -2 and 4
Answer: B
Step-by-step explanation:
When f(x) turns into f(2x), we need to halve the value of x.
The roots of f(2x) will be equal to ( 1 / 2 ) and -1.
What is a quadratic equation?It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Given that the root of function f(x) are 1 and -2. The roots of F(2x) will be calculated as:-
( x - 1 ) ( x + 2 ) =0
( 2x - 1 )( 2x + 2 ) =0
x = 1 / 2
x = -1
Therefore, the roots of f(2x) will be equal to ( 1 / 2 ) and -1.
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