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3 years ago

Xsquare + 10x + 16 equals 0

1 answer:

7 0

X^2+10x+16＝0

First, you find factors of 16.
1 x 16
2 x 8
4 x 4

Next, you find which of the factor pairs adds up to 10 (from the 10x). In this case, 2 x 8 because 2 times 8 is 16 and 2 plus 8 is 10.

Then, the equation will be written out as: (x+2) (x+8). Take those two equations and set them equal to 0, and then solve.

x+2＝0
-2 -2
x＝-2

x+8＝0
-8 -8
x＝-8

So, your answers are x＝-2 and x＝-8. You can check by plugging in those two numbers as x.

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A line passes through (5,-2) with a slope of 1/4. Write the equation in slope-intercept form.

trapecia [35]

Answer: y = $\frac{1}{4}$ x - 3 $\frac{1}{4}$

Step-by-step explanation:

Slope-intercept form is in the form of y=mx + b where m is the slope and b is the y-intercept.

We are given the slope, so we will plug this in.

y = mx + b

y = ( $\frac{1}{4}$ )x + b

Now, we will solve for the y-intercept by plugging in the point they give us.

y = ( $\frac{1}{4}$ )x + b

(-2) = ( $\frac{1}{4}$ )(5) + b

-2 = 1.25 + b

-3 $\frac{1}{4}$ = b

Lastly, we will plug this variable into the equation we wrote above for our final answer.

y = $\frac{1}{4}$ x - 3 $\frac{1}{4}$

Read more about writing a slope-intercept form equation for this problem here:

brainly.com/question/13874293

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1 year ago

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What are the coefficients for the binomial expansion of (p+q)^6

seropon [69]

Answer:

1 6 15 20 15 6 1

Step-by-step explanation:

To figure this out, we need to look at Pascal's Triangle, which is a tricky little way to find the coefficients for any binomial expression like this! Check the attached photo.

Because this is to the sixth, we need the 6th row, which is 1 6 15 20 15 6 1. From this, we know that those numbers are the coefficients!

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3 years ago

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Find f(-3) if f(x) = x 2.

vlabodo [156]

Answer:

f(-3) = 9

Step-by-step explanation:

Lets define f(a) first where a is any integer,

f(a) is found out by putting the integer in the function in place of the variable

So for the given question

$f(x) = x^{2}$

In order to find f(-3) we will put -3 in place of x

So putting -3,

$f(-3) = (-3)^{2}$

$f(-3) = 9$

So, the value of function at -3 is 9 ..

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3 years ago

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The scatter plot shows how many bugs, with and without wings, were found by students on a field trip. How many bugs with wings d

fiasKO [112]

Bugs with wings:

Q = 13
F = 11
G = 20
---------add
= 44

answer

B) 44

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4 years ago

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Michael paid $10.11 for a pair of jeans. This amount included a tax of 2%. What was the cost before tax?

djverab [1.8K]

Answer: $9.91

Step-by-step explanation: The correct answer is $9.91 for the jeans. This is calculated by divided the total paid ($10.11) by 1.02, which represents the cost of the jeans + the 2% interest. 10.11 / 1.02 = $9.91.

You can then double check you work by calculating the 2% interest rate of the jeans. $9.91 x 2% = $ .20. The total is $9.91 for the jeans plus $ .20 for the tax, for a total of $10.11, which is the amount in the original problem.

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3 years ago