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3 years ago

11

2X plus 7 for x equals five

1 answer:

Nuetrik [128]3 years ago

3 0

Answer:

17

Step-by-step explanation:

If x equals 5, then you just do 2(5) + 7.

2×5=10 10+7=17

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Combine like terms to create an equivalent expression. Enter any coefficients as simplified proper or improper fractions or inte

Sonja [21]

Answer:

1 -9/7n

Step-by-step explanation:

$\dfrac{1}{7}-3\left(\dfrac{3}{7}n-\dfrac{2}{7}\right)=\dfrac{1}{7}-\dfrac{3\cdot3}{7}n+\dfrac{3\cdot2}{7}=\dfrac{1}{7}+\dfrac{6}{7}-\dfrac{9}{7}n\\\\=\dfrac{1+6}{7}-\dfrac{9}{7}n=\boxed{1-\dfrac{9}{7}n}$

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2 years ago

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How do you find the slope of something on a graph

ycow [4]

Y=mx+b
m is your slope
Slope is rise over run

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3 years ago

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Hi! Please help me find the slope of the line.

lana66690 [7]

Answer:

3/2

Step-by-step explanation:

We can use the slope formula to find the slope of the line

m = ( y2-y1)/(x2-x1)

Using the points (0,-4) and (2,-1)

m = ( -1 - -4)/( 2 - 0)

= (-1+4)/ (2 -0)

= 3/2

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2 years ago

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pickupchik [31]

Answer:

3.50$ x 5.5 = 19.25 $

Step-by-step explanation:

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2 years ago

Suppose a home improvement contractor is painting the walls and ceiling of a rectangular room. The volume of the room is 288 cub

ratelena [41]

Answer:

The minimum cost is $17.30c

Step-by-step explanation:

Given

$V = 288$ --- Volume

$C_1 = 0.06$ --- cost of wall paint

$C_2 = 0.16$ ---cost of ceiling paint

Required

Minimum cost of paint

The volume is calculated as:

$V =xyz$

Substitute 288 for V

$288 =xyz$

Make z the subject

$z = \frac{288}{xy}$

The surface area is calculated as:

$Area = 2(yz + xz) + xy$

Because xy represent the dimension of the ceiling and the opposite of the ceiling (the floor) will not be painted. Hence, it does not require a coefficient of 2

The cost is:

$C = 0.06 * 2(yz + xz) + 0.16 * xy$

Substitute $z = \frac{288}{xy}$

$C = 0.06 * 2(y*\frac{288}{xy} + x*\frac{288}{xy}) + 0.16 * xy$

$C = 0.06 * 2(\frac{288}{x} + \frac{288}{y}) + 0.16 * xy$

$C = 0.12(\frac{288}{x} + \frac{288}{y}) + 0.16 * xy$

$C = (\frac{34.56}{x} + \frac{34.56}{y}) + 0.16 * xy$

$C = (\frac{34.56}{x} + \frac{34.56}{y}) + 0.16 xy$

Differentiate w.r.t x and y

$C_x = -\frac{34.56}{x^2} + 0.16y$

$C_y = -\frac{34.56}{y^2} + 0.16x$

By comparison: $x = y$

Set them equal to 0

$C_y = -\frac{34.56}{y^2} + 0.16x=0$

$-\frac{34.56}{y^2} + 0.16x=0\\$

Substitute x for y

$-\frac{34.56}{x^2} + 0.16x=0$

$0.16x=\frac{34.56}{x^2}$

Cross multiply

$0.16x^3 = 34.56$

$x^3 = \frac{34.56}{0.16}$

$x^3 = 216$

Take the cube root of both sides

$x = \sqrt[3]{216}$

$x = 6$

$x=y= 6$

Substitute 6 for x and for y in $C = (\frac{34.56}{x} + \frac{34.56}{y}) + 0.16 xy$

$C = (\frac{34.56}{6} + \frac{34.56}{6}) + 0.16 * 6* 6$

$C = (\frac{2*34.56}{6}) + 5.76$

$C = 11.52 + 5.76$

$C = 17.28$

$C = 17.3$ --- approximated

8 0

3 years ago