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garri49 [273]
2 years ago
6

Find (g o f)(-1). *

Mathematics
1 answer:
klio [65]2 years ago
6 0

Answer:

D  -9

Step-by-step explanation:

(g o f)(-1) = g(f(-1))

f(-1) = f(-1)  =  (-1)^{2}  +  2(-1) - 3\\=  1 - 2 - 3\\=  -4

g(-4) = -4 - 5 = -9

So, (g o f)(-1) = -9

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Find x and y, given that line WS and line VT are parallel. Show all work!
bulgar [2K]

In the given diagram, the traingles USW and UTV are similar triangles and thus the following ratio equality applies to them.

\frac{VT}{WS} =\frac{VU}{WU}=\frac{TU}{SU}..........(Equation 1)

Checking the diagram given, we see that:

VT=y, WS=22, VU=8, ST=x-2

WU=WV+VU=12+8=20

TU=5

SU=ST+TU=(x-2)+5=x+3

Thus, substituting the required values in (Equation 1) we get:

\frac{y}{22}=\frac{8}{20}=\frac{5}{x+3}

Now, as can be clearly seen, to find y we will use the first two ratios as:

\frac{y}{22}=\frac{8}{20}

y=\frac{8\times 22}{20}=8.8

In a similar manner, to find the value of x we can use the last two ratios:

\frac{8}{20}=\frac{5}{x+3}

After cross multiplication we get:

5\times 20=8(x+3)

Which can be simplified as:

x+3=\frac{100}{8} =12.5

Thus, x=12.5-3=9.5

Therefore, the required answer is:

x=9.5 and y=8.8



7 0
3 years ago
What is 328 divided by 23 with the remainder
Nata [24]

Answer:

7.1

Step-by-step explanation:

328 23 = 14.2608695652

14.2608695652 = 142.608695652 to the nearest tenth

14.2608695652 = 14.26 to the nearest hundredth

14.2608695652 = 14.261 to the nearest thousandth

= 0 to the nearest tenth

= 0 to the nearest hundredth

= 0 to the nearest thousandth

Other Divisions Math homework are

328 divide by half plus 20

Homework answers: (328/2) + 20 = 184

328 divide by half plus 40

Homework answers: (328/2) + 40 = 204

328/23 divided by 2

Answer: (328/23) ÷ 2 = 7.13043478261

8 0
3 years ago
Read 2 more answers
Equivalent expression.( 2 −2 8 −5 ​ ) −4 <br><br> what would be the answer?
Kipish [7]
The answer is (2-28-5)-4=-34
6 0
2 years ago
Teresa is playing a game of chance in which she tosses a dart into a rotating dartboard with 8 equal-sized slices numbered 1 thr
pentagon [3]

Given that Teresa has a 5 out of 8 chance of making a profit, and an expected value of $1.50 in profit each turn, in the long run she has a better chance of making money than losing it.

Given that Teresa is playing a game of chance in which she tosses a dart into a rotating dartboard with 8 equal-sized slices numbered 1 through 8, and the dart lands on a numbered slice at random, and this game is this: Teresa tosses the dart once, and she wins $1 if the dart lands in slice 1, $3 if the dart lands in slice 2, $5 if the dart lands in slice 3, $8 if the dart lands in slice 4, and $10 if the dart lands in slice 5, but she loses $5 if the dart lands in slices 6, 7, or 8, to find the expected value of playing the game, and determine what can Teresa expect in the long run, after playing the game many times, she must perform the following calculation:

  • (1 + 3 + 5 + 8 + 10 - 5 - 5 - 5) / 8 = X
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Therefore, given that Teresa has a 5 out of 8 chance of making a profit, and an expected value of $1.50 in profit each turn, in the long run she has a better chance of making money than losing it.

Learn more about maths in brainly.com/question/15605256

3 0
2 years ago
1. There are<br> always twice as many girls as boys in school.<br> Mathematical expression
Airida [17]

Answer:

Boys x 2 = Girls

Step-by-step explanation:

If there are twice as many girls in school as boys than take the number of boys and multiply that by 2. For example if there are 400 boys in school and there are twice as many girs your equation would, 400 x 2 = 800 girls.

8 0
2 years ago
Read 2 more answers
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