If f(x) = x2 − 2x + 9 and g(x) = 8 − x, what is (f o g)(−4)?

Answers

Answer 1

Answer: I hope this helps you

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Jerry ate 1,070 calories total at breakfast. He ate a cup of yogurt that had 150 calories in it and some granola. Each cup of granola has 230 calories. how many cups

Answers

Answer:

4 cups that's how many cups Jerry ate

Consider the expression –3(y – 5)2 – 9 + 7y.Which statements are true about the process and simplified product? Check all that apply.

A=The first step in simplifying is to distribute the –3 throughout the parentheses.
B=There are 3 terms in the simplified product.
C=The simplified product is a degree 3 polynomial.
D=The final simplified product is –3y2 + 7y – 9.
E=The final simplified product is –3y2 + 37y – 84.

Answers

Answer: Option 'B' and 'E' are correct.

Step-by-step explanation:

Since we have given that

$-3(y-y)^2-9+7y$

Simplification needs a few steps:

$-3(y-5)^2-9+7y\n=-3(y^2+25-10y)-9+7y\n=-3y^2-75+30y-9+7y\n=-3y^2+37y-84$

So, Option 'B' and 'E' are correct.

As Option 'B' says there are 3 terms in the simplified product, which is true.

Answer:

B and E

Step-by-step explanation:

Help please odds only geometry

Answers

1)
log 98 = log( 7 * 14 ) = log 7+ log 14= h + j ;

2)
log 175 = log ( 5^2 * 7 ) = log 5 ^ 2 + log 7 = 2 * log 5 + log 7 = 2i + h ;

3)
log 2 = log ( 14 / 7 ) = log 14 - log 7 = j - h ;

4)
log 245 = log ( 7^2 * 5 ) = log 7 ^2 + log 5 = 2 * log 7 + log 5 = 2h + i ;

$\log98=\log(7\cdot14)=\log 7+\log14=h+j\n\n\log175=\log(5^2\cdot7)=\log5^2+\log7=2\log5+h=2i+h\n\n\log2=\log(14)/(7)=\log14-\log7=j-h\n\n\log245=\log(5\cdot7^2)=\log5+\log7^2=i+2\log7=i+2h$

If the circumference of a circle is 94.25 inches then what is the radius?

Answers

Radius = 15in Given the diameter or radius of a circle, we can find thecircumference. We can also find the diameter (andradius) of a circle given the circumference. The formulas for diameter and circumference of a circle are listed below. We round to 3.14 in order to simplify ourcalculations.

To find the circumference you do 2 x pi x radius so...
to find the radius from given circumference, work backwards...
94.25 divided by pi = 30 (rounded)
30 divided by 2 = 15
The answer is 15 inches (rounded)
Hope this helps! :)

Find the length of the segment AB if points A and B are the intersection points of the parabolas with equations y=−x2+9 and y=2x2−3 .

Answers

The distance between two points (x₁, y₁) and (x₂, y₂) is given by:

$D = √((x_1 - x_2)^2 + (y_1 - y_2)^2)$

With this, we will found that the distance between A and B is: 4 units.

The first thing we need to do is find A and B.

We know that the points are the intersection between the two parabolas.

y = -x^2 + 9

y = 2*x^2 - 3

The intersection is given by the zeros of the difference:

(2*x^2 - 3) - (-x^2 + 9) = 0

3*x^2 -12 = 0

3*x^2 = 12

x^2 = 12/3 = 4

x = √4 = ±2

To find the points, we need to evaluate one of the parabolas in these two x-values.

Let's use the first one:

y = -(2)^2 + 9 = 5

So we have the point (2, 5)

For the other point:

y = -(-2)^2 + 9 = 5

So we have the point (-2, 5)

Then we can define:

A = (2, 5)

B = (-2, 5)

Using the distance equation we get:

$D = √((2 - (-2))^2 + (5 - 5)^2) = 4$

The distance between A and B is 4.

If you want to learn more, you can read:

brainly.com/question/12082741

Answer:

Answer:

AB=4

Step-by-step explanation:

Answer:

AB=4

Step-by-step explanation:

1. Since you are finding the intersection points of two parabolas:

a. y=-x²+9

b. y=2x²-3

2. You have to set them equal to each other:

2x²-3= - x²+9

2x²+x=9+3

3x²=12

x²=4

This is the crucial part; the absolute value of x is equal to plus minus the square root of 4, since either -2 squared with parentheses or 2 squared is equal to 4.

√x²=±√4

x=±2

x=2; x=-2

3. Then you substitute them into each equation. For this step, any sign 2 will work.

a. y=-(2)²+9

y=-4+9

y=5

b. y=2(2)²-3

y=8-3

y=5

4. So our coordinates will be (2,5) and (-2,5). These are the points of intersection.

5. Now we use the distance formula:

The subscripts didn't work for this but I mean the square root of x 2 - x 1 in parentheses plus y 2 -y 1.

√16=

The absolute value rule that I mentioned above doesn't work for this because its a distance and you can't have a negative distance.

So AB=4

A book shows an enlarged photo of a carpenter bee. A carpenter bee is about 6×10^-3 m long. The photo is 13.5 cm long. About how many times as long as a carpenter bee is the photo?

Answers

A ratio compares values. A ratio says how much of one thing there is compared to another thing. We do as follows:

length of photo/ length of a carpenter bee = ratio of the two
13.5 / 6x10^-3 = 2250

Therefore, the photo is 2250 longer than the carpenter bee.

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