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3 years ago

If h(x) =6 -x, what is the value of (h•h)(10)

Mathematics

2 answers:

Brrunno [24]3 years ago

8 0

Answer:

Your exact value should be 10h $^{2}$

Step-by-step explanation:

I put it into the calculator and that's what came out.

Tju [1.3M]3 years ago

7 0

Answer: 16

Step-by-step explanation:

The given function : $h(x) =6 -x$

Then, the composition function of $(h\cdot h)(x)=h(x)\times h(x)$

$\\\\\Rightarrow\ (h\cdot h)(x)=(6-x)(6-x)=(6-x)^2$

Using identity $(a-b)^2=a^2-2ab+b^2$ , we have

$(6-x)^2=6^2-(2)(6)(x)+x^2\\\\\Rightarrow\ (h\cdot h)(x)=(6-x)^2=36-12x+x^2$

Now, $(h\cdot h)(10)=36-12(10)+(10)^2$

$=36-120+100=16$

Hence, the value of $(h\cdot h)(10)=16$

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3x-10-4

snow_lady [41]

Answer/Step-by-step Explanation:

1. 3x - 10 +4 if x = 3

To evaluate, plug in the value of x in the expression given

3(3) - 10 + 4 = 9 - 10 + 4

= 3

2. $\frac{x}{2} + 6x$

if x = -12

$\frac{(-12)}{2} + 6(-12)$

- 6 - 72 = - 78

3. 8(x - y), if x = 2, y = 6

8(2 - 6) = 8(-4) = -32

4. x + xy, if x = 3, y = -2.5

3 + (3)(-2.5) = 3 + (-7.5)

= 3 - 7.5 = - 4.5

5. (2x)² + 6, if x = -2

(2*-2)² + 6 = (-4)² + 6

= 16 + 6 = 22

6. 3x + 4y - 3x, if x = 2, y = 4

3(2) + 4(4) - 3(2) = 6 + 16 - 6

= 16

7. $-10x + \frac{4}{x}$

If x = -2

$-10(-2) + \frac{4}{-2}$

20 + (-2) = 20 - 2 = 18

8. 3(8x - 10) + 5x, if x = ½

3(8*½ - 10) + 5(½)

3(4 - 10) + 2.5

3(-6) + 2.5 = -18+2.5 = - 20.5 or 20½

9. x + 8y - (x)², if x = -5, y = ¼

-5 + 8(¼) - (-5)² = -5 + 2 - (25)

= -3 - 25 = -28

10. (8x)² + 6x + 2, if x = -3

(8*-3)² + 6(-3) + 2 = (-24)² - 18 + 2

= 576 - 18 + 2 = 560

11. 2x² + 4y² + xy, if x = ½, y = 2

2(½)² + 4(2)² + (½)(2)

= 2(¼) + 4(4) + 1

= ½ + 16 + 1 = ½ + 17 = 17½

12. 8x + 2y, if x = 1.5, y = -2.2

8(1.5) + 2(-2.2)

12 - 4.4 = 7.6

13. $\frac{5}{2}(x - 6) + 4$

if x = 8.

$\frac{5}{2}(8 - 6) + 4$

$\frac{5}{2}(2) + 4$

= 5 + 4 = 9

14. 3x - 8x² + 7, if x = 4.5

3(4.5) - 8(4.5)² + 7

13.5 - 8(20.25) + 7

13.5 - 162 + 7 = -141.5

15. -2x² + 8y, if x = 3, y = -9

-2(3)² + 8(-9)

-2(9) - 72 = - 18 - 72 = 90

16. (-5x)² - 3x + x, if x = -3.5

(-5*-3.5)² - 3(-3.5) +(-3.5)

(17.5)² + 10.5 - 3.5

306.25 + 10.5 - 3.5 = 313.25

8 0

3 years ago

All vertical and horizontal cross sections of any one cube are all the same size and shape. What about vertical and horizontal c

svetlana [45]

Horizontal cross sections are the same shape: they are all squares if the pyramid is square or rectangles if the pyramid is a rectangle pyramid.
Vertical cross sections are different shape: At the pyramid top they are triangles, at other places they have four sides.

Horizontal cross sections are different size: the more we go to the top of the pyramind, the smaller they get.
Vertical cross sections are different size: the closer we get to the edges, the smaller they become.

8 0

3 years ago

An ice cube is made of 5 fluid ounces of water. About how many milliliters of water does it take to make an ice cube

Sergio [31]

<u>ANSWER: </u>

147.868 mL of water is required to make an ice cube.

<u>SOLUTION: </u>

Given that, an ice cube is made up of 5 fluid ounces of water.

We need to find how many milli liters of water does it require to make an ice cube.

For, that we have to convert 5 fluid ounces in to units of milli liters.

We know that, 1 US fluid ounce equals to 29.5735 milli liters. i.e. 1 US fluid ounce = 29.5735 mL

Now,

An ice cube is made by 5 fluid ounces = 5 x 1 fluid ounce

= 5 x 29.5735 mL = 147.868 mL

Hence, 147.868 mL of water is required to make an ice cube.

5 0

2 years ago

1/3 as a number is wat thanks and have a good day aight

podryga [215]

0.33... (it goes on forever)

5 0

2 years ago

Jake's mom filled a 2-liter container with juice. Then Jake

tatiyna

Answer: 1.2 liters remain

1 liter = 1000 milliliters
if there’s two liters, that’s 2000 milliliters. the mom then poured 2 glasses each with 400 milliliters, or 800 milliliters in total. 2000 - 800 = 1200. 1200 milliliters converted into liters = 1.2 liters.

6 0

2 years ago