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3 years ago

If h(x) = 3x + 4, what is h(2x - 3)?

Mathematics

1 answer:

Leto [7]3 years ago

4 0

Answer:

6x-5

Step-by-step explanation:

3(2x-3)+4

6x-9+4

6x-5

Answer is 6x-5

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Which element of variation would not be affected by adding the data value 15 to the data set {3, 5, 6, 8, 9, 10, 13, 14}

Andrei [34K]

It is 13,14 because it goes up two then one one then two again which will then mess up the rotation

8 0

3 years ago

Alex wants to fence in an area for a dog park. He has plotted three sides of the fenced area at the points E (1, 5), F (3, 5), a

hram777 [196]

Answer:

$(1,1)$

Step-by-step explanation:

Given: E, F, G, H denote the three coordinates of the area fenced

To find: coordinates of point H

Solution:

According to distance formula,

length of side joining points $(x_1,y_1)\,,\,(x_2,y_2)$ is equal to $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

So,

$EF=\sqrt{(3-1)^2+(5-5)^2}=2\,\,units\\FG=\sqrt{(6-3)^2+(1-5)^2}=\sqrt{9+16}=5\,\,units\\GH=\sqrt{(x-6)^2+(y-1)^2}\\EH=\sqrt{(x-1)^2+(y-5)^2}$

Perimeter of a figure is the length of its outline.

$EF+FG+GH+EH=16\\2+5+\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=16\\\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=16-2-5\\\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=9$

Put $(x,y)=(1,1)$

$\sqrt{(1-6)^2+(1-1)^2}+\sqrt{(1-1)^2+(1-5)^2}=9\\\sqrt{25}+\sqrt{16}=9\\5+4=9\\9=9$

This is true.

So, the point $(1,1)$ satisfies the equation $\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=9$

So, point H is $(1,1)$ .

7 0

3 years ago

What is the value of H

never [62]

Answer:

h = 55

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

the 2 unknown interior angles = 180 - 2h ( straight angle ), hence

the sum of the 3 angles

180- 2h + 180 - 2h + 40 = 180

400 - 4h = 180 ( subtract 400 from both sides )

- 4h = - 220 ( divide both sides by - 4 )

h = 55

6 0

3 years ago

Find the volume of a right circular cone that has a height of 20 ft and a base with a

maksim [4K]

Your answer will be 1733.489333ft³
When rounding it will be
1733.1ft³
My rounding might be wrong
Hope it helps : )

7 0

3 years ago

Evaluate 1 3/7-(2/3+5/7)

Artyom0805 [142]

Answer:

13/7 - (14/21 + 15/21)

Step-by-step explanation:

= 13/7 - ( 29/21)

= 39/21 - 29/21 = 10/21 = 0.47

7 0

3 years ago

Read 2 more answers