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jeka57 [31]
2 years ago
14

2x-y+7whenx= -5andy-2.

Mathematics
1 answer:
Paha777 [63]2 years ago
7 0

Answer:

-1

Step-by-step explanation:

2x-y+7

Let x = -5 and y = -2

2(-5) -(-2) +7

-10 +2 +7

-10 +9

-1

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An open box is made from a square piece of cardboard 30 inches on a side by cutting identical squares and turning up the sides.
pychu [463]

Step-by-step explanation:

A)

The length of the box is 30 − 2x inches.

The width of the box is 30 − 2x inches.

The height of the box is x inches.

So the volume is:

V = x (30 − 2x)²

B)

V(3) = 3 (30 − 6)² = 1728

V(4) = 4 (30 − 8)² = 1936

V(5) = 5 (30 − 10)² = 2000

V(6) = 6 (30 − 12)² = 1944

V(7) = 7 (30 − 14)² = 1792

As x increases, the volume of the box increases to a maximum and then decreases.

C)

The ends of the domain occur when V = 0.

0 = x (30 − 2x)²

x = 0 or 15

So the domain is (0, 15).

3 0
2 years ago
Frank’s dog eats 6 ounces of dog food each day. Frank bought a 42-pound bag of dog food. How many 6-ounce servings are in 42-pou
iVinArrow [24]
So it’ll be 42 divided by 6 since u want to know how many servings of 6 ounces can be served from a 42 pound bag
So 42/6= 7
5 0
2 years ago
Whats the reciprocal of <br> 4 3/7
Angelina_Jolie [31]

Answer

0.22580645161

Step-by-step explanation:

you just have to do 4 3/7 in a calculator

6 0
2 years ago
Find the point on the curve y = √ x where the tangent line is parallel to the line y = x 8 .
vichka [17]
If tangent to the curve y = √x  is parallel to the line  y = 8x,  then this implies that the tangent to  y = <span>√x  has the same slope as the line  y = 8x. In other words, the derivative (slope) function of  y = √x  is equal to the slope of the line  y = 8x, which is m = 8.  Hence y' = 8  once we find  y'

y =  </span><span>√x = x^(1/2)

Applying the power rule and simplifying, we find that the derivative is

y' = 1/(2</span>√x)

Now remember that  y'  must equal 8

1/(2<span>√x) = 8

Multiplying both sides by  2</span><span>√x,  we obtain

1 = 16</span><span>√x

Dividing both sides by  16,  yields

</span><span>√x = 1/16

But wait a minute, √x = y.  Thus  1/16  must be the y-coordinate of the point at which the tangent to  y = √x  is drawn.

Squaring both sides, yields

x = 1/256 

This is the x-coordinate of the point on the curve where the tangent is drawn.

</span><span>∴ the required point must be  (1/256, 1/16)

GOOD LUCK!!!</span>
7 0
2 years ago
Triangle ABCTriangle ABC ​is transformed with the center of dilation at the origin. Pre-image: △ABC with vertices A(−5, −4), B(−
harkovskaia [24]

Pre Image  having vertices : △ABC with vertices A(−5, −4), B(−7, 3), C(3, −2)

Image having vertices : △A′B′C′ with vertices A′(−3.75, −3), B′(−5.25, 2.25), C′(2.25, −1.5).

As, Size of Preimage > Size of image

So, 0<Dilation Factor <1

When a triangle is dilated , the preimage and image are similar to each other .

Scale factor can be get through by finding the ratio of any of corresponding sides of triangle.

\frac{A'B'}{AB}=\frac{\sqrt{2.25 +27.5625}}{\sqrt{4+49}}=\sqrt{\frac{29.8125}{53}}=\sqrt{0.5625}=0.75=\frac{3}{4}

So, Scale Factor of Dilation = \frac{3}{4}=0.75

6 0
3 years ago
Read 2 more answers
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