Answer:
You can measure an arc in degrees. Just like you measure an angle in degrees. And you assign the exact. Same measure in degrees to an arc. As the measure of the central angle that creates that arc. So I believe your answer would be A: 118 :).
Find the slope of the line, if it is defined. Through (−4,−8) and (−3,6) Write the expression that can be used to find the slope. (Do not simplify.) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The slope is (Type an integer or a simplified fraction.) B. The slope is undefined.
The slope of the line is 14. This means that for every 1 unit increase in the x-coordinate, the y-coordinate increases by 14 units. The positive slope indicates that the line is ascending from left to right.
The slope of a line can be found using the formula:
m = (y2 - y1) / (x2 - x1),
where (x1, y1) and (x2, y2) are the coordinates of two points on the line.
For the given points (-4, -8) and (-3, 6), we can use these values in the formula to find the slope.
m = (6 - (-8)) / (-3 - (-4))
= (6 + 8) / (-3 + 4)
= 14 / 1
= 14.
Therefore, the slope of the line passing through the points (-4, -8) and (-3, 6) is 14.
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Find a b. 7√6 |a| = 7, |b|= √6, the angle between a and b is 45° X
To find the value of b, we can use the given information:
|a| = 7
|b| = √6
The angle between a and b is 45°.
We know that the dot product of two vectors a and b is given by:
a · b = |a| |b| cos(θ)
where θ is the angle between a and b.
In this case, we have:
a · b = 7 √6 cos(45°)
Since cos(45°) = √2 / 2, we can substitute the values:
7 √6 cos(45°) = 7 √6 (√2 / 2) = 7√12 / 2
We also know that a · b = |a| |b|, so we can set up the equation:
7√12 / 2 = 7 √6 |b|
Now, solving for |b|:
|b| = (7√12 / 2) / (7 √6)
Simplifying the expression:
|b| = √2 / 2
Therefore, the value of b is √2 / 2.
Renee adds 5 to a number, then multiplies the sum by-2. The result is 8. Write and solve an equation to find the number, x. What is the number?
Figure p was rotated about the origin (0,0) by 180. Which figure is the image of p?
Mentally, rotating the Cartesian Plane 180º, we find that the figure that was in the 4th quadrant goes to the 2nd quadrant.
So, answer B
I'll give BRAINLEST. What is the unit for Gradient of Temperature(°C) vs Time(secs)? Show how u got the unit.
Answer: The temperature gradient is a dimensional quantity expressed in units of degrees (on a particular temperature scale) per unit length. The SI unit is kelvin per meter (K/m).
Step-by-step explanation:
Answer:
kelvin per meter (K/M)
Step-by-step explanation:
ik ik.. weird answer
the Temperature Gradient is a dimensional quantity expressed of units of degrees (on a particular temperature scale) per unit length. the SI unit is kelvin per meter (K/M).
pls solve the the question above
In mathematics, a variable is a symbol and placeholder for any mathematical object. In particular, a variable may represent a number, a vector, a matrix, a function, the argument of a function, a set, or an element of a set
While multiplying two integer numbers, the rule is simple.
If both the integers have the same sign, then the result is positive.
If the integers have different signs, then the result is negative.
For example,
(+2) x (+3) = +6
(+3) x (-4) = – 12
The major Properties of Integers are:
Closure Property
Associative Property
Commutative Property
Distributive Property
Additive Inverse Property
Multiplicative Inverse Property
Identity Property
According to the distributive property of integers, if a, b and c are integers, then:
a x (b + c) = a x b + a x c
Example: Prove that: 3 x (5 + 1) = 3 x 5 + 3 x 1
LHS = 3 x (5 + 1) = 3 x 6 = 18
RHS = 3 x 5 + 3 x 1 = 15 + 3 = 18
Since, LHS = RHS
Hence, proved.
1) (a-b)+c
a= 0.5 , b= 2, c= -1
(0.5- 2)+-1
=-1.5-1
=-2.5
2) a= 3 . b=-4, c=-2
(3-(-4)+-2
= (3 +4)+2
= 9
3) a= -8, b= 5, c= 3
(-8+5)+3
=-3+3
= 0.
-(a-b)-c
1) a=0.5 , b= 2, c=-1
-(o.5-2)-(-1)
=-0.5+2+1
= 2.5
2) a= 3, b= -4, c=-2
-(3-(-4)-(-2)
-(3+4)+2
-3-4+2
= -5
3) a= -8, b=5 ,c=3
-(-8-5)-3
=(8+5)-3
= 13-3
= 10.
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What are the coordinates of the
point on the directed line segment from (-1, 1) to
8, 10) that partitions the segment into a ratio of 2 to 1?
The coordinates of the point that are directed on the line segment are given as 5, 7
How to get the coordinates of the pointWe have the x coordinate to be x1 + A(x2-x1)/(A+B)
While the y coordinate is given as y1 + A(y2-y1)/(A+B)
in the question we have a= 2, b = 1
we have to put this in the x coordinate, x1 = -1, x2 = 8
X = -1 + 2*(8 - (-1))/(2+1)
X = -1 + 2(9)/3
x = 5
We have to put the value for the Y coordinate
y1 = 1, y2 = 10
Y = 1 + 2(10-1)/3
y = 1 + 6
= 7
Hence the points for the equation would be given as
(5 , 7)
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Solve the given differential equation by variation of parameters. x2y'' + xy' − y = ln x
y (x) = ?
The solution to the given differential equation, x²y'' + xy' - y = ln(x), using variation of parameters is: y(x) = C₁x + C₂x ln(x) + x ln²(x)/2,
where C₁ and C₂ are constants.
Determine the differential equation?To solve the differential equation using variation of parameters, we first find the solutions to the homogeneous equation x²y'' + xy' - y = 0. Let's denote these solutions as y₁(x) and y₂(x).
Next, we find the Wronskian W(x) = y₁(x)y₂'(x) - y₁'(x)y₂(x) and calculate the integrating factors u₁(x) = -∫(y₂(x)ln(x))/W(x) dx and u₂(x) = ∫(y₁(x)ln(x))/W(x) dx.
Using these integrating factors, we can determine the particular solution yₚ(x) = -y₁(x)∫(y₂(x)ln(x))/W(x) dx + y₂(x)∫(y₁(x)ln(x))/W(x) dx.
Finally, the general solution is given by y(x) = yₕ(x) + yₚ(x), where yₕ(x) is the general solution to the homogeneous equation.
Solving the homogeneous equation x²y'' + xy' - y = 0 gives the solutions y₁(x) = x and y₂(x) = x ln(x).
After calculating the Wronskian W(x) = x² ln(x), we obtain the integrating factors u₁(x) = -ln(x)/2 and u₂(x) = -x/2.
Plugging these values into the particular solution formula, we find yₚ(x) = C₁x + C₂x ln(x) + x ln²(x)/2.
Hence, the general solution is y(x) = C₁x + C₂x ln(x) + x ln²(x)/2, where C₁ and C₂ are arbitrary constants.
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in 250 explain the power of substitutes from porters 5
forces
The power of substitutes is one of the five forces in Porter's Five Forces framework and it is a measure of how easy it is for customers to switch to alternative products or services. The higher the power of substitutes, the more competitive the industry and the lower the profitability.
The power of substitutes is based on the premise that when there are readily available alternatives to a product or service, customers can easily switch to those alternatives if they offer better value or meet their needs more effectively. This poses a threat to the industry as it reduces customer loyalty and puts pressure on pricing and differentiation strategies.
The availability and quality of substitutes influence the degree to which customers are likely to switch. If substitutes are abundant and offer comparable or superior features, the power of substitutes is strong, increasing the competitive intensity within the industry. On the other hand, if substitutes are limited or inferior, the power of substitutes is weak, providing more stability and protection to the industry.
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Jamari's family has completed 60% of their road trip. If they have completed 90 miles so far, how long is the whole trip?
Answer:
150 miles
Step-by-step explanation:
If they've completed 60% and have covered 90 miles
We can say
60% = 90 (miles)
We can work out 10% by dividing by 6 on both sides
10% = 15
100% is just 10 times larger
100% = 150
The trip (100% completion) is 150 miles
2+2= what is the answer for it? Hint it's not a 2
The answer for 2 + 2 in the addition is determined as 4.
What is addition operation?Addition is a mathematical operation that involves combining two or more quantities or values to find their total or sum.
Addition is one of the four basic arithmetic operations, along with subtraction, multiplication, and division.
In addition operation, the two or more numbers are often added to produce result called the sum.
For example, in the equation; 2 + 2 = 4.
2 and 2 are the addends, and 4 is the sum.
We can also preform addition on fractions. decimas, percentages, etc.
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The measure of one interior angle of a parallelogram is 0. 25 times the measure of another angle.
The measure of the smaller interior angle is
and the measure of the larger interior angle is
The measure of the smaller interior angle is approximately 144 degrees.
The measure of the larger interior angle is 36 degrees.
Let's denote the measure of the smaller interior angle as x.
According to the given information, the measure of one interior angle (let's call it y) is 0.25 times the measure of the smaller angle. Therefore, we can write the equation:
y = 0.25x
Since a parallelogram has opposite angles congruent, we know that the sum of the measures of the smaller and larger angles is 180 degrees. Hence, we can write another equation:
x + y = 180
Substituting the value of y from the first equation into the second equation, we have:
x + 0.25x = 180
Combining like terms:
1.25x = 180
To find the measure of the smaller angle (x), we divide both sides of the equation by 1.25:
x = 180 / 1.25
x ≈ 144
Therefore, the measure of the smaller interior angle is approximately 144 degrees.
To find the measure of the larger interior angle, we substitute the value of x into the equation:
y = 0.25x
y = 0.25 * 144
y = 36
Hence, the measure of the larger interior angle is 36 degrees.
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A study was conducted to compare the proportion of drivers in boston and new york who wore seat belts while driving. Data were collected, and the proportion wearing seat belts in boston was 0. 581 and the proportion wearing seat belts in new york was 0. 832.
z = -2.51 is the required test statistic.
What is the test statistic?A statistic employed in statistical hypothesis testing is known as a test statistic.
A test statistic, which can be thought of as a numerical summary of a data set that condenses the data into a single value that can be used to conduct the hypothesis test, is how a hypothesis test is commonly expressed.
The probability value, or p-value, indicates the likelihood that your data could have been true under the null hypothesis.
This is accomplished by estimating the probability of your test statistic, which is the figure obtained from a statistical analysis of your data.
So, we have to use: Ha: pB < pNY
This implies that the alternative thesis is revised as follows:
Ha: pB - pNY < 0
In contrast to the null hypothesis:
H₀: pB - pNY = 0
This is the test statistic:
z = X - μ/a
Now, pB = 0.581, pNY = 0.832.
It follows that: X = 0.581 - 0.832 = -0.251
The test for the null hypothesis is 0.
This follows to: μ = 0
Standard deviation: 0.1
This follows to: s = 0.1
Test statistic:
z = X - μ/a
z = -0.251-0/0.1
z = -2.51
Therefore, z = -2.51 is the required test statistic.
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Complete question:
A study was conducted to compare the proportion of drivers in Boston and New York who wore seat belts while driving. Data were collected, and the proportion wearing seat belts in Boston was 0.581 and the proportion wearing seat belts in New York was 0.832. Due to local laws at the time the study was conducted, it was suspected that a smaller proportion of drivers wear seat belts in Boston than New York.
Find the test statistic for this test using Ha: pB < pNY. (Use standard error = 0.1.)
Use your model from problem 4a to find a solution of the equation 21 = 7 + x. Explain your reasoning
The equation 21 = 7 + x can be solved using the model y = mx + b, where y is the dependent variable, x is the independent variable, m is the slope, and b is the y-intercept. The solution is x = 5.67.
To find a solution of the equation 21 = 7 + x using the model from problem 4a, we can use the fact that the equation is of the form y = mx + b, where y is the dependent variable (in this case, 21), x is the independent variable (the variable we are solving for), m is the slope, and b is the y-intercept.
From problem 4a, we know that the slope is 3 (since for every 1 unit increase in x, y increases by 3) and the y-intercept is 4 (since the line intersects the y-axis at y = 4).
So we can rewrite the equation 21 = 7 + x as y = mx + b, with y = 21, m = 3, and b = 4, and solve for x.
21 = 3x + 4
17 = 3x
x = 5.67
Therefore, the solution to the equation 21 = 7 + x is x = 5.67.
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Mary's tube of red paint is five sevenths full and her blue paint is four sevenths full. How much red and blue paint does Mary have in total? Use the benchmark fraction one half, 1, and 0 to help you estimate each answer before you solve it.
Answer:
We know that:
Mary has 5/7 of the red paint tube
And she also has 4/7 of the blue paint tube.
How much paint does she have in total?
Well, we only need to add these fractions.
5/7 + 4/7 = 9/7
We can rewrite the 9 as 7 + 2, then we get:
9/7 = (7 + 2)/7 = 7/7 + 2/7 = 1 + 2/7
This means that, in total, she has a complete tube and two sevents of other.
A square could be called a _____ since it has four right angles.
A square could be called a rectangle since it has four right angles.
A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.
A rectangle is a closed two-dimensional figure with four sides. The opposite sides of a rectangle are equal and parallel to each other and all the angles of a rectangle are equal to 90°. Observe the rectangle given below to see its shape, sides and angles.
So, Every square is a rectangle because it is a quadrilateral with all four angles right angles.
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If x^2 = 40, what is the value of x? ±80 ±20 plus or minus square root 80 plus or minus square root 40
Answer:
Step-by-step explanation:
x^2 = 40
To find the value of x you must take the square root of both x^2 and 40.
When you do, you get
sqrt(x^2) = sqrt(40)
Answer x = + sqrt(40)
Simplification
x = + sqrt(2 * 2 * 2 * 5)
The square root of 2 equal primes is one of them. That root can be shown outside the root sign.
x = + 2*sqrt( 2 * 5)
A population has a mean of 53 and a standard deviation of 21. A sample of 49 observations will be taken. The probability that the sample mean will be greater than 57.95 is ___. a. 0.450 b. 0.9505 c. 0.0495 d. 0
The probability that the sample mean will be greater than 57.95 is 0.0495.
What is probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. This is the basic probability theory, which is also used in the probability distribution.
To solve this question, we need to know the concepts of the normal probability distribution and of the central limit theorem.
Normal probability distributionProblems of normally distributed samples can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z=\dfrac{X-\mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit TheoremThe Central Limit Theorem establishes that, for a random variable X, with mean \(\mu\) and standard deviation \(\sigma\), a large sample size can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(\frac{\sigma}{\sqrt{\text{n}} }\).
In this problem, we have that:
\(\mu=53,\sigma=21,\text{n}=49,\text{s}=\frac{21}{\sqrt{49} }=3\)The probability that the sample mean will be greater than 57.95
This is 1 subtracted by the p-value of Z when X = 57.95. So
\(Z=\dfrac{X-\mu}{\sigma}\)
By the Central Limit Theorem
\(Z=\dfrac{X-\mu}{\text{s}}\)
\(Z=\dfrac{57.95-53}{3}\)
\(Z=1.65\)
\(Z=1.65\) has a p-value of 0.9505.
Therefore, the probability that the sample mean will be greater than 57.95 is 1-0.9505 = 0.0495
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Sally and anne went to the movies. They each purchased a drink. They also bought one popcorn and one veggie cup to share. Which expression can be used to find how much money each woman spent? one-half (9 + 1. 35 + 3. 50 + 1. 74) 9 + 1. 35 + one-half (3. 50 + 1. 74) 18 + 2. 70 + one-half (3. 50 + 1. 74) 9+1. 35+2(3. 50+1. 7).
Expression which represents the amount of money spend by each woman is equal to [ 9 + 1.35 + (one- half)(3.50 + 1.74)].
As given in the question,
Condition for the expression:
Sally and Anne both went for a movie.
Each one purchased a drink.
Shared one popcorn and one veggie bought by them.
Consider movie ticket price = 9
drink price = 1.35
Popcorn price = 3.50
Veggie price = 1.74
Explanation for different expressions are:
1. one-half (9 + 1. 35 + 3. 50 + 1. 74)
Here sum of all the amount is divided equally, which is not correct as movie ticket and drink they have purchased individually.
2. 9 + 1. 35 + one-half (3. 50 + 1. 74)
This is correct option as it represents :
Movie ticket price = 9
Drink = 1.35
one-half (3. 50 + 1. 74) = one popcorn and one veggie divided equally.
3. 18 + 2. 70 + one-half (3. 50 + 1. 74)
As per consideration of price this is not correct option.
Movie ticket price =18
Drink = 2.70
one-half (3. 50 + 1. 74) = one popcorn and one veggie divided equally.
4. 9+1. 35+2(3. 50+1. 7)
This is not correct option as popcorn and veggie price is doubled.
Therefore, expression which represents the amount of money spend by each woman is equal to [ 9 + 1.35 + (one- half)(3.50 + 1.74)].
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Will give brainilest if correct Element X decays radioactively with a half life of 15 minutes. If there are 770 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 32 grams?
Answer:
t = 68.83 minutes
Step-by-step explanation:
68.83 minutes to decay to 32 grams
formula
ln means natural log
time = half life * ln (remaining quantity/initial quantity) ÷ -ln2
If A is the incenter of triangle CDE, find each measure.
a) mZDCE
b) m CDE
c) mzDAE
PLEASE HELP FOR GEOMETRY
9514 1404 393
Answer:
m∠DCE = 58°
m∠CDE = 74°
m∠DAE = 119°
Step-by-step explanation:
The incenter is the point of intersection of the angle bisectors. The angles on either side of the bisector have the same measure. Of course, the sum of angles in a triangle is 180°.
m∠DCE = 2×29° = 58°
m∠CDE = 180° -58° -2×24° = 74°
m∠DAE = 180° -74°/2 -24° = 119°
what is the factored form of the function f(x)=x³+2x²-15x-36
Answer:
(x+3)(x+3)(x-4)
Step-by-step explanation:
I find a graphing calculator immensely helpful for factoring problems. Of course the constant in the binomial factor is the opposite of the x-intercept value. The x-intercept at -3 just touches the axis, so has even multiplicity. It will give rise to a repeated factor.
The x-intercepts of -3, -3 and +4 mean the factorization is ...
f(x) = (x +3)(x +3)(x -4)
Validation of the model and answering the question "what are my options" occur in the ___ phase of the IDC.
A. choice
B. design
C. intelligence
D. implantation
Validation of the model and answering the question "what are my options" occur in the design phase of the IDC (Intelligence, Design, and Choice) framework.
The IDC framework is a decision-making process that consists of three phases: Intelligence, Design, and Choice. Each phase corresponds to a specific set of activities and objectives.
In the intelligence phase, the focus is on gathering information, identifying the problem or decision to be made, and understanding the factors and variables involved. This phase involves data collection, analysis, and exploration to gain insights and knowledge about the problem domain.
In the design phase, the emphasis is on developing and evaluating potential options or solutions to address the problem or decision at hand. This phase involves creating models, prototypes, or simulations to represent the problem and exploring different alternatives.
Validation of the model is an important aspect of this phase to ensure that the proposed solutions align with the problem requirements and objectives.
The question "what are my options" is a fundamental question that arises during the design phase. It implies the exploration and generation of various possible choices or solutions that can be evaluated and compared.
Therefore, the design phase of the IDC framework encompasses the activities of validating the model and answering the question "what are my options." It involves refining and testing potential solutions to make informed decisions in the subsequent choice phase.
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Which of the following values of x solves 3(x-6)=18?
1. x=12
2. x=0
3. x=8
4. x=-6
Answer:
option 1
Step-by-step explanation:
3(x - 6) = 18 ( divide both sides by 3 )
x - 6 = 6 ( add 6 to both sides )
x = 12
Answer:
Step-by-step explanation:
The answer is 12. 3x6=18 and 12-6=6. Plug in 6 and you get 18.
In quantitative research, data collection from the same respondents at 2 or more points (waves) in time is referring to?
In quantitative research, data collection from the same respondents at 2 or more points (waves) in time is referring to "longitudinal."
What is quantitative research?A method for gathering and interpreting numerical data is known as quantitative research. It can be used to discover patterns and averages, to make predictions, to verify causal linkages, and to generalize results to larger groups.
Some features regarding quantitative research are-
The antithesis of qualitative research, that involves collecting and interpreting non-numerical data, is quantitative research (like, text, video and audio).Quantitative research is utilized extensively in the scientific and social sciences, including biology, psychology, economics, chemistry,sociology, and marketing.Experimental and correlational research are both used to statistically test hypotheses or predictions. Based on the sample method utilized, the findings may be applied to larger populations.For collect quantitative data, procedures that translate abstract notions (e.g., mood) into measurable and quantifiable metrics are frequently required.To know more about quantitative research, here
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the national survey of student engagement found that 24% of seniors report that they often or very often went to class without completing readings or assignments.12 assume that the sample size of seniors is 276,000. (a) find the margin of error for 99% confidence.
Margin of error for 99% confidence interval is 0.0021
What is confidence interval?
he range of values that, should you repeat your experiment or resample the population in the same manner, you would anticipate your estimate to fall within a particular percentage of the time.
Main Body:
Given :
99% Confidence Interval for p
p = 0.24,n = 276000
Significance level = α = 1− confidence = 1 − 0.99 = 0.01
Critical z-value = zα/2 = z0.01/2 = z0.005 = 2.58 (closest value From z table)
Standard e
or of p : SE =
√p× (1 − p)n=√0.24 × 0.76276000
≈ 0.0008129
E = zα/2 ×√p× (1 − p)n
= 2.58 × 0.0008129 ≈ 0.002097
Hence ,Margin of Error or, E = 0.00210
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3. Events A and B are independent. If P(A) = 0.3 and P(B) = 0.4 what is P(A and B)?
a. 0.12
b. 0.3
c. 0.7
d. 0.75
Answer:
Step-by-step explanation:
it depends on if you are adding A and B it would be P= 0.7 and if you are multiplying it would be P= 0.12
Pls help all questions
1 and 2
Answer:
Question 1
Ordered pair (2, -3) satisfies y ≥ x - 5 but does not satisfy y ≤ 2x-8
Question 2
Ordered pair (0,4) does satisfy both inequalities:
y ≤ -x + 4 and y ≥ 5x - 3
Step-by-step explanation:
Question 1
The ordered pair is (2, -3); therefore x = 2, y = -3
Plug these values into the left and right side of each inequality and see if these values satisfy the inequality
For y ≥ x - 5
LHS = -3, RHS = 2 - 5 = -3
Is -3 ≥ -3? Of course; in fact it is = and it only need to satisfy either = or >
For y ≤ 2x-8
LHS = -3, RHS = 2(2) - 8 = 4 - 8 = -4
Is -3 ≤ -4? NO. -3 is greater than -4
(remember in negative numbers -4 lies further to the left than -3 on the number line so -4 is less than -3)
Question 2
Given ordered pair is (0,4)
For y ≤ -x + 4
LHS = 4, RHS = -0 + 4 = 4
Is 4 ≤ 4? YES
For y ≥ 5x -3
LHS = 4, RHS = 5(0) -3 = 0 - 3 = -3
Is 4 ≥ -3? Of course. All positive numbers are greater than negative numbers
can someone help me with this work problem?
thank you!( ◜‿◝ )♡
adddddddddddddddddddddddddddddddddddddddddddddddddddddd
Solve this for me please.
Answer:
Solve what? there's nothing there.