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Alexandra [31]
3 years ago
10

Y = x^2+ 7x - 5 can be written in the form y = (x + a)^2+b

Mathematics
1 answer:
BARSIC [14]3 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = (x - h)² + k (h, k) are the coordinates of the vertex

Given y = x² + 7x - 5

To express in vertex form use the method of completing the square

add/subtract ( half the coefficient of the x- term )²

y = x² + 2( \frac{7}{2} )x +\frac{49}{4} - \frac{49}{4} - 5

y = (x + \frac{7}{2} )² - \frac{49}{4} - \frac{20}{4}

y = (x + \frac{7}{2} )² - \frac{69}{4}

Hence

a = \frac{7}{2} and b = - \frac{69}{4}

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IceJOKER [234]
2x - 6 = 18
2x = 18 + 6 (24)
2x = 24
x = 12

<span>3x + 9 = 2x + 24
3x + 9 = 2x + 24 - 9 (2x + 15)
3x = 2x + 15
3x - 2x = 15
x = 15

</span><span>4x = 2.4? 0.4x = 2.4? I can't tell what the question is. Let me know in the comments and I'll answer it.
</span>
<span>5x + 4 = 24
5x = 24 - 4 (20)
5x = 20
x = 4

</span><span>2x / 3 = 4
2x = 4 * 3 (12)
x = 6

</span><span>3(x + 7) = 51
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5 0
2 years ago
9+2×42+6-2<br><br>Please show the work​
timofeeve [1]

Answer:

The answer is 97

Step-by-step explanation:

According to PEMDAS, we will solve the multiplication first. 2 × 42 is 84. Next, we will add or subtract from left to right. 9 + 84 + 6 – 2 is 97, the answer to our problem.

8 0
1 year ago
Read 2 more answers
A distribution of probabilities for random outcomes of a bivariate or dichotomous random variable is called a Group of answer ch
slega [8]

A distribution of probabilities for random outcomes of bivariate or dichotomous random variables is called (A) binomial probability distribution.

<h3>What is a binomial probability distribution?</h3>
  • The binomial distribution with parameters n and p in probability theory and statistics is the discrete probability distribution of the number of successes in a succession of n separate experiments, each asking a yes-no question and each with its own Boolean-valued outcome: success or failure.
  • The binomial distribution is widely used to describe the number of successes in a sample of size n selected from a population of size N with replacement.
  • If the sampling is done without replacement, the draws are not independent, and the resulting distribution is hypergeometric rather than binomial.
  • Binomial probability distribution refers to a distribution of probabilities for random outcomes of bivariate or dichotomous random variables.

As the description itself says, binomial probability distribution refers to a distribution of probabilities for random outcomes of bivariate or dichotomous random variables.

Therefore, a distribution of probabilities for random outcomes of bivariate or dichotomous random variables is called (A) binomial probability distribution.

Know more about binomial probability distribution here:

brainly.com/question/9325204

#SPJ4

Complete question:

A distribution of probabilities for random outcomes of bivariate or dichotomous random variables is called a ______.

Group of answer choices

(A) binomial probability distribution

(B) distribution of expected values

(C) random variable distribution

(D) mathematical expectation

5 0
2 years ago
PLEASE HELP AS SOON AS POSSIBLE THANK YOU!!
nataly862011 [7]

Answer:

We know that when x= -10, y= -17.

So, if we put those into direct variation "y=kx", we get

-17= k(-10)

k   = -17 / -10

Now we put the value of "k" into the formula and we get A (y= 17/10x )

7 0
3 years ago
Evaluate the expression and enter your answer in the box below |98|
olganol [36]

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to evaluate \pmb{|98|}.

\triangle~\fbox{\bf{KEY:}}

  • The notation |x| denotes absolute value.

The absolute value of a number is its distance from zero.

Absolute value is always positive; distances can't be negative, right?

So we need to find the absolute value of 98, which is:

\star~\star\mathrm{98}~\star~\star

\ddot\bigstar Remember this...

\fbox{The\;absolute\;value\;is\;a\;number's\;distance\;from\;zero}

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

3 0
1 year ago
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