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sergeinik [125]
4 years ago
13

Given f(x)= -x^2+3x-4 and g(x)=2/3x +5 find f(g(-9))

Mathematics
1 answer:
scZoUnD [109]4 years ago
6 0

Answer:

0

Step-by-step explanation:

First, you plug -9 into g(x) and you get g(-9) = - 1. After that, you solve f(-1), which you then reach the solution of 0 by solving.

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PART A: Are the triangles congruent?
wlad13 [49]

Answer: Part A: No; Part B; N/A

Step-by-step explanation:

The two triangles are not congruent because it's SSA, which doesn't work unless it's a right triangle.

4 0
3 years ago
To rationalize the denominator of (5-\sqrt(7))/(9-\sqrt(14)) , you should multiply the expression by which fraction?
statuscvo [17]
You would multiply by 

\frac{9+\sqrt{14}}{9+\sqrt{14}}.

When you rationalize the denominator, you multiply by the conjugate of the denominator.  The conjugate is the same numbers and radicals, but with the sign of the radical switched.
4 0
3 years ago
Read 2 more answers
A bottle of root beer contains 4/5 L. How much root beer is in 3 bottles?
shusha [124]
3\cdot\frac{4}{5}=2.4 \hbox{ l}
5 0
3 years ago
Right isosceles triangles are constructed on the sides of a 3−4−5 right triangle, as shown. A capital letter represents the area
Ivenika [448]

Answer:

1

Step-by-step explanation:

because the triangles are isosceles, that means that the area of Z is 5x5x1/2, which equals 12.5

the area of X is 4.5

the area of y is 8

(8+4.5)/(12.5) = 1

5 0
3 years ago
A pet store sells goldfish and hermit crabs,
Elis [28]

Answer:

Cost = \$28

Step-by-step explanation:

Given

Represent Goldfish with g and hermit crabs with h.

The first statement, we have:

7g + 3h = 26

The second statement, we have:

4g + 5h = 28

Required

Determine the selling price of 6 goldfish and 4 hermit crabs

The equations are:

7g + 3h = 26 --- (1)

4g + 5h = 28 --- (2)

Make g the subject in (2)

4g + 5h = 28

4g = 28 - 5h

Divide both sides by 4

g = \frac{1}{4}(28 - 5h)

Substitute \frac{1}{4}(28 - 5h) for g in (1)

7g + 3h = 26

7(\frac{1}{4}(28 - 5h)) + 3h = 26

\frac{7}{4}(28 - 5h) + 3h = 26

Multiply through by 4

4 * \frac{7}{4}(28 - 5h) + 4*3h = 26*4

7(28 - 5h) + 4*3h = 26*4

Open bracket

196 - 35h + 12h = 104

196 -23h = 104

Collect Like Terms

-23h = 104-196

-23h = -92

Make h the subject

h = \frac{-92}{-23}

h = \frac{92}{23}

h = 4

Substitute 4 for h in g = \frac{1}{4}(28 - 5h)

g = \frac{1}{4}(28 - 5*4)

g = \frac{1}{4}(28 - 20)

g = \frac{1}{4}(8)

g = 2

This implies that:

1 goldfish = $2

1 hermit crab = $4

The cost of 6 goldfish and 4 hermit crabs is:

Cost = 6g + 4h

Cost = 6*\$2 + 4*\$4

Cost = \$12 + \$16

Cost = \$28

5 0
3 years ago
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