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Svet_ta [14]
3 years ago
14

Given f(x)=3x-4 and g (x)=-2x+7 evaluate (f o g)(5)

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
4 0

f(x) = 3x - 4

g(x) = -2x + 7

(f o g)(x) = f(g(x)) = -2(3x - 4) + 7

= -6x + 8 + 7 = -6x + 15

(f o g)(5) = -6(5) + 15 = -15

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34kurt
The definition of similar triangles says that 2 triangles are similar if they have the same shape but different size. There are two criteria to check for this:
1) If all angles in one triangle are equal to the angles in another one, then the 2 are equal.
2) If the sides have the same proportions, then the 2 triangles are similar.


1) We have that all the angles of the 2 triangles have an equal angle in the other triangle. In specific, Q is matched to B, P to A and R to C. Hence, since corresponding angles are congruent, the two triangles are similar.
2) Here we are given information about the sides of the triangles, so we will check the second criterion. We form the ratio of the largest sides of each trangle and the shortest sides. 30/5=6. For the shortest sides, 18/3=6. Finally for the middle sides, 24/4=6. Hence, we have that the triangles are similar since the ratios are equal. (it doesn't matter whether we take the bigger or the smaller side as a numerator, as long as we are consistent).
8 0
3 years ago
Suzanne owns stock worth $2,400. She owes $5,200 in student loans, and $2,500 on a credit car. She owes $1,800 on a car that is
jekas [21]

Answer:

15,100

Step-by-step explanation:

because 5,200+2,500+8,000+1,800=17,500 which is how much she owes and what she has is 2,400 so 17,500- 2,400= 15,100 so her net worth is 15,100

3 0
3 years ago
Solve for a.<br> a^2=-3a+88
Sergio [31]

Answer:

a=8,-11

Step-by-step explanation:

a^2=-3a+88

a^2+3a=88

a^2+3a-88=0

x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}

x=\frac{-3\pm\sqrt{3^2-4(1)(-88)} }{2(1)}

x=\frac{-3\pm\sqrt{9+352} }{2}

x=\frac{-3\pm\sqrt{361} }{2}

x=\frac{-3\pm19 }{2}

x=-11 and x=8

Therefore, the values of a are 8 and -11.

5 0
2 years ago
2 is subtracted from a number and then the difference is multiplied by 5 the result is 30 find the number
trapecia [35]
Answer is 8 because you divide 30 by 5 then you get 6 and when you get 6 you add 2 and the answer is 8
3 0
3 years ago
Read 2 more answers
How can you write 5+5+5 using a different math operation
Len [333]

Answer:

five plus five plus five

Step-by-step explanation:

This is in wording

3 0
2 years ago
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