What is the factorization of the expression below?16x^2 - 49
A. (8x + 7)(2x-7)
O B. (4x + 7)(4x - 7)
O C. (8x-7)(2x-7)
O D. (4x-7)(4x-7)

Answers

Answer 1
Answer:

Answer:

B

Step-by-step explanation:

16 x² - 49 ← is a difference of squares and factors in general as

a² - b² = (a + b)(a - b), thus

16x² - 49

= (4x)² - 7²

= (4x + 7)(4x - 7) → B

Answer 2
Answer:

Answer:

B

Step-by-step explanation:

There is no number between 16x and 49. So only think about the number being squared for 49; which is 7.

Then 49 is negative, so you must have both positive and negative signs in both parenthesis. Otherwise, positive times positive is positive, and negative times negative is also positive.

4x4 is 16. That's why you put fours in front of Xs.

I am sorry for getting this wrong (if i did)


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Answers

Answer:

A

Step-by-step explanation:

Solve for b. -1/6b=3

Answers

Answer:

b = -18

Step-by-step explanation:

Multiply both sides by -6/1 which is the reciprocal of -1/6

(-6/1)*(-1/6)b=3*(-6/1)

b=-18/1 = -18

Answer:

-18

Step-by-step explanation:

-1/6b=3

Multiply the reciprocal of -1/6 to both sides, this will get x by itself  

(-6/1)*-1/6b=3*(-6/1)

b= -18/1

b= -18

Find a rational number between -1/4 and 2/5

Answers

Answer:

s =(3)/(40)

Step-by-step explanation:

Let find the middle point between both rationals. That is to say:

s = (-(1)/(4)+(2)/(5) )/(2)

s = ((-5+8)/(20) )/(2)

s =(3)/(40)

In bowling, you get a spare when you knock down the ten pins in two throws. How many possible ways are there to get a spare?

Answers

9  ways are possible hope this helped straight and to the point not gonna go and show exactly how just trust me

Final answer:

In bowling, there are ten possible ways to get a spare. This involves knocking down a total of 10 pins in two throws, regardless of the number of pins knocked down in each throw.

Explanation:

In bowling, there are multiple ways to get a spare. A spare requires all ten pins to be knocked down, but it does not matter how many pins were knocked down in each throw, only that the total after two throws is ten. For example, you could knock down 9 pins in the first throw and 1 in the second, or 5 pins in both throws. Therefore, there are ten possible ways to get a spare, ranging from knocking down 1 pin on the first throw and 9 on the second, to knocking down 9 pins on the first throw and 1 on the second throw, and every combination in between.

Learn more about Bowling Math here:

brainly.com/question/33644971

#SPJ2

PLEASE HELP 20 POINTS!The sum of the x- and y-intercepts of the graph of 5x+3y = k is 32 5. Find the length of the line segment joining the x- and y-intercepts.

Thank you so much!
I literally have no idea how to do this.

Answers

Sure you do.

What is the x-intercept ? It's the point where the graph crosses the x-axis.
But y=0 at every point on the x-axis !  So the x-intercept is the point where

5x + 3(0) = k
5x = k
x = 0.2 k


Similarly ... What is the y-intercept ? It's the point where the graph crosses the
y-axis. But x=0 at every point on the y-axis !  So the y-intercept is the point where

5(0) + 3y = k
3y = k
y = k/3

The sum of the x- and y-intercepts is 32.5 .
0.2k + k/3 = 32.5
Multiply each side by 5 :
k + 5k/3 = 162.5
Multiply each side by 3 :
3k + 5k = 487.5
8k = 487.5
Divide each side by 8 :
k = 60.9375

The x-intercept is (0.2k, 0) = the point (12.1875, 0) .

The y-intercept is (0, k/3) = the point (0, 20.3125) .

Those are the two points. Now it wants you to find the distance between them.
Do you remember how to find the distance between 2 points ?

Find the (difference of their x-values) and square it.
Find the (difference of their y-values) and square it.
Add the two squares together.
Take the square root of the sum.
That's the distance between the points.

(12.1875)² + (20.3125)² = the square of the distance.

If you don't get 23.688 for the distance, then check your arithmetic.

A school held a jump-roping contest. Diego jumped rope for 20 minutes. Jada jumped rope for 15 minutes. What percentage of Diego’s time is that?
Lin jumped rope for 24 minutes. What percentage of Diego’s time is that?
Noah jumped rope for 9 minutes. What percentage of Diego’s time is that?
Diego 20/20 = 1
Jada 15/20 =
Lin 24/20 =
Noah 9/20 =

Answers

Answer:

Jada 15

Lin 24

Noah 9

Diego 20

Step-by-step explanation:

Hope I helped