Substitute X = 10 and y=-7 4x^2-y+5xy^2-y
Answers
Solution:
Given:
\(4x^2-y+5xy^2-y\)Where x=10 and y=-7;
\(4(10)^2-(-7)+5(10)(-7)^2-(-7)=2864\)ANSWER: 2864
Related Questions
Identify the domain and range of the function graphed below.
Answers
For the graphed function the domain is D: (-∞, 4] and the range is R: [0, ∞)
How to identify the domain and range?For any function y = f(x), we define the domain as the set of the inputs (that is, the set of the possible values of x) and the range as the set of the outputs (possible values of y).
To identify the domain, we need to look at the horizontal axis.
We can see that the maximum value of x is x = 4, and there is no minimum value (there is an arrow that points to the right) then the domain is:
D: (-∞, 4]
For the range, we look at the vertical axis, and we can see a minimum at y = 0 and that it goes upwards (so there is no maximum) then the range is:
R: [0, ∞)
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Which statement is true??
click to see the question
If you helped thank you!
Answers
Answer:
G
Step-by-step explanation:
G is the only true one
In the number 2,222, how many times larger is the value of the value of the digit in the tens place than the value of the digit in the ones place?
Answers
Answer:
the one in the tens place is 10 times more then the number in the ones place
Step-by-step explanation:
(0,-4), (x, -7); m= 3/2
Answers
Answer:
Use the given functions to step up and then simplify (x, -7).
Step-by-step explanation:
0 - 4 = -4
(x, -7) = -4
m = 3/2
Answer:
the answer would be X=-2
Which pair of angles shares ray a f as a common side?
Answers
Answer:
it's the last one.
Step-by-step explanation:
both of them have ÀF as part of their angle.
Answer:
Step-by-step explanation:
it would the the second one
PLEASE HELP ME WITH THIS PLEASE
Answers
Answer:
y = -x - 2
this is because the m is the slope and the b is the intersection of the y axis
Answer:
y=-1x-2
Step-by-step explanation:
First find the slope by using the formula (y2-y1)/(x2-x1). Choose the 2 intercepts to calculate the slope. replace the y's and x's with your points so it would look like this or this: (-2-0)/(0-(-2)) or 0-(-2))/(-2-0). They both give the same slope which is -1. Then, since the graph tells us the y-intercept(when the x is equal to 0), we replace it with b to get y=-1x-2.
40 buttons in all. 6 of the buttons were large. What percentage of the buttons were large?
Answers
Answer:
\( \frac{6}{40} \times 100\% \\ = 15\%\)
Carns Company is considering eliminating its Small Tools Division, which reported a loss for the prior year of $205,000 as shown below. Segment Income (Loss) Sales $ 1,430,000 Variable costs 1,295,000 Contribution margin 135,000 Fixed costs 340,000 Income (loss) $ (205,000) If the Small Tools Division is dropped, all of its variable costs are avoidable, and $119,000 of its fixed costs are avoidable. The impact on Carns’s income from eliminating the Small Tools Division would be: Multiple Choice
Answers
The impact on Carns Company's income from eliminating the Small Tools Division would be a decrease of $1,209,000.
To determine the impact on Carns Company's income from eliminating the Small Tools Division, we need to consider the avoidable costs associated with the division.
The avoidable costs include all of the variable costs of the division and a portion of the fixed costs that are specifically related to the Small Tools Division. In this case, the variable costs of the division are $1,295,000, and $119,000 of the fixed costs are avoidable.
To calculate the impact on income, we subtract the avoidable costs from the loss reported by the division:
Impact on income = Loss - Avoidable costs
Impact on income = $205,000 - ($1,295,000 + $119,000)
Impact on income = $205,000 - $1,414,000
Impact on income = -$1,209,000
The negative sign indicates a decrease in income.
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In Exercise 6.1, we considered a random variable Y with probability density function given by f (y) = $ 2(1 y), 0 y 1, 0, elsewhere, and used the method of distribution functions to find the density functions of a U1 = 2Y 1. b U2 = 1 2Y . c U3 = Y 2. Use the method of transformation to find the densities of U1, U2, and U3.
Answers
The density functions of U1, U2 and U3 can be calculated as fU1(u) = 2(2 - (u+1)), 0 < u < 1, 0, elsewhere; fU2(u) = 4/u2, 0 < u < 1, 0, elsewhere; and fU3(u) = 2/√u, 0 < u < 1, 0, elsewhere.
The method of transformation is used to find the density functions of U1, U2 and U3 when given the probability density function of a random variable Y. The equation for the transformation of a random variable Y to U is U = g(Y), where g is a function of Y. To find the density functions of U1, U2 and U3, we need to first calculate the derivatives of U1, U2 and U3 with respect to Y, which are given by dU1/dY = 2, dU2/dY = -1/2 and dU3/dY = 2Y. Then, the density functions of U1, U2 and U3 can be calculated using the formula fU(u) = fY(g-1(u)) * |dg-1/du|, where fU(u) and fY(y) denote the density functions of U and Y, respectively, and g-1 is the inverse of g. For U1, U2 and U3, g-1(u) is y = (u+1)/2, y = 2/u and y = √u, respectively. Therefore, the density functions of U1, U2 and U3 can be calculated as fU1(u) = 2(2 - (u+1)), 0 < u < 1, 0, elsewhere; fU2(u) = 4/u2, 0 < u < 1, 0, elsewhere; and fU3(u) = 2/√u, 0 < u < 1, 0, elsewhere.
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Perform the addition or subtraction and use the fundamental identities to simplify. There is more than one correct form of the answer: cos(x) 1 + sin(x) cos(x) 1 - sin(x) 2tan
Answers
After simplifying the given equation the answer will be -2tanx.
What is identity?
An equation is referred to as an identity if it has one or more variables and is true for all alternate values of the variables for which both sides of the equation are defined.
Sine, cosine, tangent, cosecant, secant, and cotangent are some of their names. The adjacent side, opposite side, and hypotenuse side of the right triangle are used to define each of these trigonometric ratios. The six trigonometric ratios are the source of all fundamental trigonometric identities.
Given: \(\frac{cosx}{1+sinx}-\frac{cosx}{1-sinx}\)
We have to solve this.
Take cross multiplication.
\(= \frac{cosx - cosxsinx-cosx-cosxsinx}{(1-sin^2x)}\\= \frac{-2cosxsinx}{(1-sin^2x)}\)
Since,
\(1-sin^2x=cos^2x\)
\(= \frac{-2sinx}{cosx}\)
Since, \(\frac{sinx}{cosx} = tanx\)
\(= -2tanx\)
Hence, after simplifying the given equation the answer will be -2tanx.
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The distance from the tip of a slice of pizza to the crust is 7 inches.
Does this represent diameter, circumference, or radius?
ANSWER ASAP THANK YOU
Answers
Answer:
radius
Step-by-step explanation:
What else would need to be congruent to show that AABC= A
DEF by SAS?
B
E
Given:
ZA ZD
AB DE
C D
A. BC = EF
B. ZC ZF
C. ZA ZD
OD. AC = DF
F
SUBMIT
Answers
Answer:
D
Step-by-step explanation:
Angles A and D have to be the included angles.
The required, we need AC ≅ DF to prove the triangles congruent with the SAS postulate. Option D is correct,
What is congruent geometry?In geometry, two figures are congruent if they have the same shape and size, and all their corresponding parts (sides, angles, and vertices) are congruent. Congruent figures can be moved, rotated, or reflected without changing their shape or size.
Here,
Consider the triangle ABC and triangle DEF,
AB ≅ DE [Given in the question]
∠A ≅ ∠D [Given in the question]
AC ≅ DF [Since side adjacent to equal angle and side are always equal]
So, triangle ABC is congruent to triangle DEF by the SAS postulate of congruency.
Thus, we need AC ≅ DF to prove the triangles congruent with the SAS postulate. Option D is correct.
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The profitability, P, of a popular restaurant franchise can be modeled by the function P (t) = t^4 – 9t^3 + 24t^2 – 20t, where t is the number of months since the restaurant opened. How many months after the franchise opens will it begin to show a profit?
5 months
3 months
2 months
1 month
(2 months isn’t the answer btw)
Answers
The profitability of the restaurant is when the function gives a value greater than 0. The franchise does not make a profit after 5, 3, 2 or 1 month of opening.
Given that:
\(P(t) = t^4 - 9t^3 + 24t^2 - 20t\)
To calculate the profit, we simply substitute the values of t in the above equation.
(a) 5 months
This means \(t =5\)
So, we have:
\(P(5) = 5^4 - 9\times 5^3 + 24 \times 5^2 - 20 \times 5\)
\(P(5) = 0\)
(b) 3 months
This means that \(t=3\)
So, we have:
\(P(3) = 3^4 - 9 \times 3^3 + 24 \times 3^2 - 20 \times 3\)
\(P(3) = -6\)
(c) 2 months
This means that \(t = 2\)
So, we have:
\(P(2) = 2^4 - 9 \times 2^3 + 24 \times 2^2 - 20 \times 2\)
\(P(2) = 0\)
(d) 1 month
This means that \(t = 1\)
So, we have:
\(P(1) = 1^4 - 9 \times 1^3 + 24 \times 1^2 - 20 \times 1\)
\(P(1) = -4\)
For the restaurant to make a profit, the equation has to give a positive value. Since none of the values of t gives a positive value for P(t).
Then, we can say the franchise does not make a profit after 5, 3, 2 or 1 month of opening.
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consider the numbers 4,205,176 and 4,008. what is the difference in the values of the digit 4 in each number?
Answers
Answer:
the 4 in 4,205,175 is 1000 times more than the 4 in 4,008
Step-by-step explanation:
cos 2x= ___. Check all that apply.
A. sin² x - cos²x
B. 1-2 cos²x
C. 1-2 sin² x
D. 2 cos²x - 1
Answers
Answer:
C and D
Step-by-step explanation:
\(\cos(2x)\\=\cos(x+x)\\=\cos(x)\cos(x)-\sin(x)\sin(x)\\=\cos^2(x)-\sin^2(x)\\=\cos^2(x)-(1-\cos^2(x))\\=2\cos^2(x)-1 \,\,\,\,\,\,\,\,\,\,\leftarrow \text{Option D}\\=2(1-\sin^2(x))-1\\=2-2\sin^2(x)-1\\=1-2\sin^2(x)\,\,\,\,\,\,\,\,\,\,\,\leftarrow \text{Option C}\)
Set up but do NOT evaluate the integral needed to determine the area A of the region between the two curves x = y3 – 4y2 + 3y and x+y=y? integrating over the y axis. Note that the three points of intersection are identified. x = y3 – 4y2 + 3y (12,4) x +y = y2 (0,1), -2 10 12 A =
Answers
The area A of the region between the two curves x = y^3–4y^2+3y and x+y=y^2 is 11.8334.
The graph of the question is given below:
We have to evaluate the integral needed to determine the area A of the region between the two curves x = y^3–4y^2+3y and x+y=y^2 i.e. x = y^2-y.
Now the area A of the given region is:
A = \(\int^1_{y=0}\left[g(y)-f(y)\right]dy+\int^4_{y=1}\left[g(y)-f(y)\right]dy\)
A = \(\int^1_{y=0}\left[(y^3-4y^2+3y)-(y^2-y)\right]dy+\int^4_{y=1}\left[(y^2-y)-(y^3-4y^2+3y)\right]dy\)
A = \(\int^1_{y=0}\left[y^3-4y^2+3y-y^2+y)\right]dy+\int^4_{y=1}\left[y^2-y-y^3+4y^2-3y)\right]dy\)
A = \(\int^1_{y=0}\left[y^3-5y^2+4y\right]dy+\int^4_{y=1}\left[5y^2-y^3-4y)\right]dy\)
Further simplification
A = \(\left[\frac{y^4}{4}-\frac{5y^3}{3}-\frac{4y^2}{2}\right]^1_{y=0}+\left[\frac{5y^3}{3}-\frac{y^4}{4}-\frac{4y^2}{2}\right]^4_{y=1}\)
A = \(\left[(\frac{1}{4}-\frac{5}{3}-2)\right-(0-0+0)]+\left[(\frac{320}{3}-64-32)\right-(\frac{5}{3}-\frac{1}{4}-2)]\)
A = (3-20+24)/12 + 320/3 - 96 - (20-3-24)/12
A = 7/12 + 32/3 + 7/12
A = (7+128+7)/12
A = 142/12
A = 11.8334
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A bullet fired up 1120 feet per second at the height of 8 feet. Use the formula to determine how many seconds it will take to hit the ground. Round to 2 decimal places It will take _ seconds
Answers
Answer
The bullet will take 70.00 seconds to hit the ground
Step-by-step explanation:
\(\begin{gathered} \text{Given the modeled equation } \\ h=-16t^2\text{ }+v_ot\text{ + 8} \\ \text{where h = height} \\ v_o\text{ = initial velocity} \\ h\text{ = 8 ft} \\ v_o\text{ = 1120 ft/sec} \\ \text{Substitute the above values into the modeled equation} \\ 8=-16t^2\text{ + 1120(t) + 8} \\ 8=-16t^2\text{ + 1120t + 8} \\ \text{Collect the like terms} \\ 8-8=-16t^2\text{ + 1120t} \\ 0=-16t^2\text{ + 1120t} \\ 16t^2\text{ = 1120t} \\ -16t^2\text{ + 1120t = 0} \\ \text{factorize out 16t} \\ -16t(t\text{ - 70) = 0} \\ -16t\text{ = 0 or t - 70 = 0} \\ t\text{ = 0 or t = 70} \\ \text{Hence, t is 70.00 seconds} \end{gathered}\)
Dennis is getting balloons for his grandmother's birthday party. He wants each balloon string to be 9 feet long. At the party store, string is sold by the yard. If Dennis wants to get 56 balloons, how many yards of string will he need?
1 foot = 1/3 yard
Answers
Answer:
168 yards
Step-by-step explanation:
3 feet = 1 yard
9 (ft for each balloon) x 56 (# of balloons.) = 504 (ft of string needed in total)
504 (ft in total) divided by 3 (three feet = 1 yard) = 168 (yards of string needed)
What type of correlation does the scatter plot show?
A. Positive
B. Negative
C. Cannot tell
D. None
Answers
1.1.3 Quiz: Exponents
Question 2 of 10
Simplify (6^7)³.
Answers
Answer:6^21
Step-by-step explanation:
What is the justification for the step taken from line 2 to line 3?
3x+9-7X=X+10+X
-4x+9=2x+10
-6x+9= 10
-6x=1
1
X=-
6
W
O the subtraction property of equality
O the multiplication property of equality
O combining like terms on one side of the equation
O the distributive property
Answers
Answer:
A. the subtraction property of equality
Step-by-step explanation:
take the quiz
The justification for the step taken from line 2 to line 3 is,
⇒ The subtraction property of equality.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Steps to simplify the expression are,
3x + 9 - 7x = x + 10 + x
-4x + 9 = 2x + 10
-6x + 9 = 10
-6x = 1
x = - 1/6
Hence, Steps on line 2 and 3 are,
Step 2;
-4x + 9 = 2x + 10
Subtract 2x both side, we get;
Step 3;
- 4x + 9 - 2x = 2x + 10 - 2x
-6x + 9 = 10
Thus, The justification for the step taken from line 2 to line 3 is,
⇒ The subtraction property of equality.
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What is the completely factored form of this expression? 9x^3y - 100xy
Answers
Answer:
xy(3x+10)(3x-10)
TIME REMAINING
44:54
The table below shows the number of cars sold each month for 5 months at two dealerships.
Cars Sold
Month
Admiral Autos
Countywide Cars
Jan
4
9
Feb
19
17
Mar
15
14
Apr
10
10
May
17
15
Which statements are supported by the data in the table? Check all that apply.
The mean number of cars sold in a month is the same at both dealerships.
The median number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The range of the number of cars sold is the same for both dealerships.
The data for Admiral Autos shows greater variability.
Answers
The statements supported by the data in the table are:
The mean number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The data for Admiral Autos shows greater variability.
To determine which statements are supported by the data in the table, let's analyze the given information:
The mean number of cars sold in a month is the same at both dealerships.
To calculate the mean, we need to find the average number of cars sold each month at each dealership.
For Admiral Autos:
(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13
For Countywide Cars:
(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13
Since both dealerships have an average of 13 cars sold per month, the statement is supported.
The median number of cars sold in a month is the same at both dealerships.
To find the median, we arrange the numbers in ascending order and select the middle value.
For Admiral Autos: 4, 10, 15, 17, 19
Median = 15
For Countywide Cars: 9, 10, 14, 15, 17
Median = 14
Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.
The total number of cars sold is the same at both dealerships.
To find the total number of cars sold, we sum up the values for each dealership.
For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65
For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65
Since both dealerships sold a total of 65 cars, the statement is supported.
The range of the number of cars sold is the same for both dealerships.
The range is determined by subtracting the lowest value from the highest value.
For Admiral Autos: 19 - 4 = 15
For Countywide Cars: 17 - 9 = 8
Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.
The data for Admiral Autos shows greater variability.
To determine the variability, we can look at the range or consider the differences between each data point and the mean.
As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.
Based on the analysis, the statements supported by the data are:
The mean number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The data for Admiral Autos shows greater variability.
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What are zeros of the function below check all that apply F(x)=(x-1)(x+1)/6(x-4)(x+7)
Answers
Answer:
should be -1 and 1
Step-by-step explanation:
Answer:
Step-by-step explanation:
-1 ,1
Please HELP ASAP PLEASE?????!!!!
Answers
Answer:
-1
Step-by-step explanation:
Any number less than -2 (ex -3, -4, -5) are less than -2
Answer:
-1
Step-by-step explanation:
If you look at a number line, you will see that -1 comes before -2. Since -2 is a negative number, then the lower the number, the greater it is.
Pls help due at 8 ………………….
Answers
The area of the actual trampoline is 160 square feet.
What is area?In mathematics, area is a measurement of the size of a two-dimensional (2D) region or shape, such as a square, rectangle, circle, triangle, or any other polygon.
The area is usually expressed in square units, such as square meters (m²), square inches (in²), square feet (ft²), square centimeters (cm²), etc. The area of a shape can be calculated using different formulas, depending on the shape and the information available.
According to given information :With the given scale of 1 inch : 2 feet, we can calculate the dimensions of the actual trampoline and its area using the dimensions of the drawing.
Let's say the length and width of the trampoline on the drawing are l_d and w_d, respectively. Then, the actual length and width of the trampoline, denoted by l_a and w_a, are given by:
l_a = l_d * 2 feet/inch = 8 inches * 2 feet/inch = 16 feet
w_a = w_d * 2 feet/inch = 5 inches * 2 feet/inch = 10 feet
Therefore, the actual trampoline has a length of 16 feet and a width of 10 feet.
To find the area of the actual trampoline, we can use the formula for the area of a rectangle:
A = l_a * w_a = 16 feet * 10 feet = 160 square feet
Therefore, the area of the actual trampoline is 160 square feet.
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5. WRITE Math Write a problem that can be solved using a line plot. Draw and label the line plot and solve the problem.
Answers
Jennifer was swimming with her friends. They dove together and went negative six feet under the water. Show on a number line how far they went.
Also, if you could label this brainliest that would be a great help!
Thanks xx
-Dante
The figure below is a scale drawing of an office courtyard using the scale 1 centimeter = 4 feet.
Which figure is a scale drawing of the same courtyard using the scale 1 centimeter = 3 feet?
Answers
Using proportions, it is found that option A gives a figure that is a scale drawing of the same courtyard using the scale 1 centimeter = 3 feet.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
Researching this problem on the internet, the figure with a scale of 1 cm = 4 feet has the dimensions of:
51 cm, 75 cm, 30 cm and 72cm.
For a scale of 1 centimeter = 3 feet, these measures will be multiplied by 4/3, hence the figure is given in option A, as:
51 x 4/3 = 68 cm.75 x 4/3 = 100 cm.30 x 4/3 = 40 cm.72 x 4/3 = 96 cm.More can be learned about proportions at https://brainly.com/question/24372153
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Is y= 2/3 (x) a linear equation
Answers
ANSWER: y=0
Please awnser asap I will brainlist
Answers
The members of the given set in this problem are given as follows:
X U (Y ∩ Z) = {p, q, r, 0, 6, 21, 22, 23, 26}
How to obtain the union and intersection set of two sets?The union and intersection sets of multiple sets are defined as follows:
The union set is composed by the elements that belong to at least one of the sets.The intersection set is composed by the elements that belong to at all the sets.The intersection of the sets Y and Z for this problem is given as follows:
Y ∩ Z = {0, 6, 23, 26}
(which are the elements that belong to both of the sets).
The union of the above set with the set X is given as follows:
X U (Y ∩ Z) = {p, q, r, 0, 6, 21, 22, 23, 26}
(elements that belong to at least one of the sets).
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