MATHEMATICS COLLEGE

Can anyone help with 9? Anything helps

Answers

Answer 1

Answer:

∠ABF and ∠CBE are vertical angles

3x + 25 + 7x - 19 = 10x - 6

Set them equal to each other

∠ABF = ∠CBE

6x + 26 = 10x - 6

Isolate the x. Subtract 6x from both sides and add 6 to both sides

6x (-6x) + 26 (+6) = 10x (-6x) - 6 (+6)

26 + 6 = 10x - 6x

Simplify

32 = 4x

Divide 4 from both sides

32/4 = 4x/4

x = 32/4

x = 8

m∠ABF = 6x + 26

Plug in 8 for x

6(8) + 26 = m∠ABF

48 + 26 = m∠ABF

m∠ABF = 74°

74° is your answer for m∠F

hope this helps

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Please help me out!!!

Answers

Answer:

Shifts 4 units down ---> $g(x)=2x-10$

Stretches f(x) by a factor of 4 away from x-axis---> $g(x)=8x-6$

Shifts f(x) 4 units right---> $g(x)=2x-14$

Compress f(x) by a factor of 1/4 toward the y-axis ---> $g(x)=1/2x-3/2$

Step-by-step explanation:

We are given $f(x)=2x-6$

We need to match the transformations.

1) shifts f(x) 4 units down.

When function f(x) shifts k units down the new function becomes f(x)-k

In our case

$g(x)=2x-6-4\ng(x)=2x-10$

So, Shifts 4 units down ---> $g(x)=2x-10$

2) Stretches f(x) by a factor of 4 away from x-axis

When function f(x) is stretched by a factor of b away from x-axis the new function becomes f(bx)

$g(x)=2(4x)-6\ng(x)=8x-6$

So, Stretches f(x) by a factor of 4 away from x-axis---> $g(x)=8x-6$

3) Shifts f(x) 4 units right

When function f(x) shifts h units right the new function becomes f(x-h)

$g(x)=2(x-4)-6\ng(x)=2x-8-6\ng(x)=2x-14$

So, Shifts f(x) 4 units right---> $g(x)=2x-14$

4) Compress f(x) by a factor of 1/4 toward the y-axis

When function f(x) is compressed by h factor of a toward the y-axis the new function becomes h.f(x)

$g(x)=1/4(2x-6)\ng(x)=1/2x-3/2$

Compress f(x) by a factor of 1/4 toward the y-axis ---> $g(x)=1/2x-3/2$

(Option Not given)

(If we compress f(x) by a factor of 4 towards y-axis we get g(x)=8x-24)

From data gathered in the period 2008−2012, the yearly value of U.S. exports can be modeled by the function E(x) = −228x3 + 2,252.8x2 − 6,098.5x + 11,425.8 where x is the number of years after 2008 and E(x) is the value of exports in billions of dollars. The yearly value of U.S. imports can be modeled by the function I(x) = −400.4x3 + 3,954.4x2 − 11,128.8x + 17,749.6 where x is the number of years after 2008 and I(x) is the value of imports in billions of dollars. Estimate the total value the U.S. imported and exported in 2011. Round to the nearest whole number. About billion dollars were imported and exported by the U.S. in 2011.

Answers

Answer:you got this:)

Step-by-step explanation:

Convert 3 over 7 into a percent.

Answers

Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100.

So to write 3/7 as a percent, we need to find a fraction

equivalent to 3/7 that has a 100 in the denominator.

We can do this by setting up a proportion.

So we have $(3)/(7) = (n)/(100)$ .

Now, we can use cross-products to find the missing value.

So we have (3)(100) which is 300 is equal to (7)(n) or 7n.

So we have the equation 300 = 7n.

Next, dividing both sides of the equation by 7, we have 42.8571 = n.

So 3/7 is equal to 42.8571/100 or 42.8571%.

For a particular event, 845 tickets were sold for a total of $4162. If students paid $4 per ticket and non students paid $6 per ticket, how many student tickets were sold?

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For a particular event, 812 tickets were sold for a total of $1912. If students paid $2 per ticket and nonstudents paid $3 per ticket

Which graph represents the compound inequality

Answers

Answer: C

Step-by-step explanation:

When looking at compound inequalities, the inequalities are very important. You can see that on the graphs, there are some points that have a white open circle and others have blue, closed circle. The 2 different circles tells you the inequality itself. If you see ≤ or ≥, it is a closed circle. This is a closed circle because it is less than/greater than or equal to. That means it is also equal to the point, therefore it is a closed circle. If you see < or >, it is an open circle. That means it is not closed because it is greater than. It is not equal to on that specific point.

Now that we have covered the basics, we can start to eliminate. our first condition is n<-2. Above, we have established that < is an open circle. We can eliminate A and B because the points on -2 are both closed circles.

That leaves us with C and D. Since C and D both follow the points, let's look carefully at what the inequality tells us. n<-2 means n is less than -2. This means the arros should be pointing in the left side. As you go more towards the negative, the smaller the number becomes.

We can eliminate D because at -2, the numbers are going towards the right, not the left.

Therefore, our answer is C.

Find the sum: 15+20+25+30+35+...+875+880+885

Answers

Answer:

the actual answer is 78750

Step-by-step explanation:

summation of 2-176 in the equation 5n+5

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