Alex bought 2 printer cartridges for $28 each and a printer for $85. He gave the cashier $150. How much change should Alex have received from the cashier?

Answers

Answer 1
Answer:

Answer:

$9 in change

Step-by-step explanation:

Find the total cost of his purchases:

28 + 28 + 85

= 141

Find how much change he received by subtracting this from 150:

150 - 141

= 9

So, he should have received $9 in change


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Simplify 7(B + 3) + 2B

Answers

7 (b + 3) + 2b

First, expand to get rid of parentheses.
7b + 21 + 2b
Second, gather the like terms.
(7b + 2b) + 21
Third, in the parentheses, add 7b + 2b to get 9b.
9b + 21

Answer: 9b + 21

3x2 − y3 − y3 − z if x = 3, y = −2, and z = −5.

Answers

Plug in each variable:
3(3)²-(-2)³-(-2)³-(-5)
3(9)-(-8)-(-8)+5
27+21
The answer is 48

For the school yearbook, the entire freshmen class is taking a picture together. The photographer arranges the students so that there are 12 students in the first row, 15 students in the second row, and 18 students in the third row. The photographer continues this pattern for all eight rows of students in the picture.

Answers

No mama 12 students 18 in you know where and the other 15 are photographers. Mark me brainliest.

Determine the equation in the form y=mx+b for passing through each pair of points (0,8) and (4,3)

Answers

y=mx+b\n\nA(0;\ 8);\ B(4;\ 3)\n\nsubstitution\n\n \left\{\begin{array}{ccc}0m+b=8\n4m+b=3\end{array}\right\n\n\left\{\begin{array}{ccc}b=8\n4m+b=3\end{array}\right\n\left\{\begin{array}{ccc}b=8\n4m+8=3\end{array}\right\n\left\{\begin{array}{ccc}b=8\n4m=3-8\end{array}\right\n\left\{\begin{array}{ccc}b=8\n4m=-5&/:4\end{array}\right\left\{\begin{array}{ccc}b=8\nm=-(5)/(4)\end{array}\right

Answer:y=-(5)/(4)x+8
This requires y2 - y1/ x2 - x1 as the slope. I got y=-5/4x+8 as my answer

What number comes next 3 4 6 9 13 18 24

Answers

31 - as the difference (starting from 1) increases by 1

so:

3,+1=4,+2=6,+3=9,+4=13,+5=18,+6=24,+7=31,
31.

3+1=4
4+2=6
6+3=9
9+4=13
13+5=18
18+6=24
24+7=31

complete the following steps to find an equation of the tangent plane to the surface at the point : step 1: determine the function that describes the surface in the form : step 2: find step 3: find step 4: find step 5: find step 6: find step 7: find the equation of the tangent plane at the given point is

Answers

The point-normal form of a plane equation: (Fx(x0, y0, z0))(x - x0) + (Fy(x0, y0, z0))(y - y0) + (Fz(x0, y0, z0))(z - z0) = 0.

To find the equation of the tangent plane to a surface at a given point, follow these steps:

Step 1: Determine the function that describes the surface in the form F(x, y, z) = 0.

Step 2: Find the partial derivative of F with respect to x, denoted as Fx.

Step 3: Find the partial derivative of F with respect to y, denoted as Fy.

Step 4: Find the partial derivative of F with respect to z, denoted as Fz.

Step 5: Evaluate Fx, Fy, and Fz at the given point (x0, y0, z0).

Step 6: Use the gradient vector, which consists of the evaluated partial derivatives (Fx(x0, y0, z0), Fy(x0, y0, z0), Fz(x0, y0, z0)), as the normal vector to the tangent plane.

Step 7: Use the point-normal form of a plane equation: (Fx(x0, y0, z0))(x - x0) + (Fy(x0, y0, z0))(y - y0) + (Fz(x0, y0, z0))(z - z0) = 0. This is the equation of the tangent plane at the given point.

By following these steps, you will find the equation of the tangent plane to the surface at the specified point.

For more about plane equation:

brainly.com/question/17199939


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