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4 years ago

-7–5(3g+8)<10g–7+g help me please!

Mathematics

1 answer:

Ede4ka [16]4 years ago

8 0

Answer:

-20/13 <g

Step-by-step explanation:

-7–5(3g+8)<10g–7+g

Distribute

-7–15g-40<10g–7+g

Combine like terms

-15g - 47 < 11g -7

Add 15 g to each side

-15g+15g -47< 11g+15g -7

-47 < 26g -7

Add 7 to each side

-47+7 < 26g-7+7

-40 < 26g

Divide each side by 26

-40/26 <26g/26

-40/26 <g

Divide top and bottom by 2

-20/13 <g

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Composite functions g(d) = 2d - 5 h(d) = -4d +3 Find (hºg)(d)

hoa [83]

Answer:

$(h\circ g)(d)=-8d +23$

Step-by-step explanation:

Composite Function

Given g(d) and h(d) real functions, the composite function named (hog)(d) is defined as:

$(h\circ g)(d)=h(g(x))$

For practical purposes, it can be found by substituting g into h.

The functions g and h are given as:

$g(d) = 2d - 5$

$h(d) = -4d +3$

Substituting g into h:

$(h\circ g)(d)=-4(2d - 5) +3$

Operating:

$(h\circ g)(d)=-8d +20 +3$

$\boxed{(h\circ g)(d)=-8d +23}$

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3 years ago

Solve the equation 17=5k-3

Gre4nikov [31]

Answer:

k = 4

Step-by-step explanation:

17 = 5k - 3

+3. +3

20/5 = 5k/5

4 = k

k = 4

6 0

3 years ago

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Which fraction is equivalent to 6/12

Fantom [35]

1/2 is the answer....................

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3 years ago

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1) A contractor needs to know the height of a building to estimate the cost of a job. From a point 96 feet away from the base of

Contact [7]

Answer:

The answer to your question is: height = 99.41 feet.

Step-by-step explanation:

Data

distance = 96 feet away from a building

angle = 46

height = ?

Process

Here, we have a right triangle, we know the angle and the adjacent leg, so let's use the tangent to find the height.

tan Ф = opposite leg / adjacent leg

opposite leg = height = adjacent leg x tan Ф

height = 96 x tan 46

height = 96 x 1.035

height = 99.41 feet.

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4 years ago

4. A number m is such that when it is divided by 30, 36, and 45 the remainder is always 7,

Bezzdna [24]

Answer:

187

Step-by-step explanation:

A number m is such that when it is divided by 30, 36 and 45 the remainder is always 7.

We should first find the LCM of 30, 36 and 45

We get that the LCM of the three numbers is 280 (working attached).

So now;

$\frac{180}{30}$ = 6

$\frac{180}{36}$ = 5

$\frac{180}{45}$ = 4

But we need a number that leaves a remainder of 7 so we add 7 to 180 to get; 180 + 7 = 187.

5 0

4 years ago