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LenKa [72]
2 years ago
12

How many solutions are there to the systems of equations below? (PLEASE ANSWER + 10 POINTS!!!)

Mathematics
2 answers:
krok68 [10]2 years ago
8 0

y = x² + 3x - 7

y - 5x + 8 → y = 5x - 8

5x - 8 = x² + 3x - 7 <em>substituted "y" in first equation with "5x - 8"</em>

0 = x² - 2x + 1 <em>subtracted 5x and added 8 to both sides</em>

0 = (x -1)(x - 1) <em>factored x² - 2x + 1 </em>

x = 1 <em>solved for "x"</em>

Now plug that "x = 1" into "y = 5x - 8" → y = 5(1) - 8 → y = 5 - 8 → y = -3

Solution is (1, -3) so there is only one solution.

Answer: C

ikadub [295]2 years ago
3 0
The answer to the question is c
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Assume that when adults with smartphones are randomly​ selected, 48​% use them in meetings or classes. If 8 adult smartphone use
Lisa [10]

Answer:

The probability is 2.2%

Step-by-step explanation:

The probability that a randomly selected adult uses the telephone in classes is always equal to 0.48.

If x represents the number of adults selected from among the 8 that the telephone uses in classes, then x is a discrete random variable that follows a binomial distribution, with:

p = 0.48

q = 0.52

n = 8

We want to find the probability of x = 5

P(x) = \frac{n!}{x!(n-x)!} *p ^ n *q ^{n-x}\\\\ P(x = 5) = \frac{8!}{5!(8-5)!} * 0.48 ^ 8 * 0.52 ^ 3\\\\ P(x = 5) = 0.02218

The probability is 2.2%

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3 years ago
Which function has a vertex at (2, –9)?
Ivahew [28]
The solutions or roots so-called are really just the x-intercepts, and for a quadratic equation, the vertex is found right half-way between those x-intercepts.

we can get the intercepts by zeroing out "y" or f(x), so let's take a peek at one of those,

\bf \stackrel{f(x)}{0}=(x-5)(x+1)&#10;\\\\\\&#10;0=x-5\implies \boxed{5=x}\qquad \qquad \qquad \qquad 0=x+1\implies \boxed{-1=x}

so, the x-intercepts or solutions are at 5 and -1, let's take a peek what's the halfway point.

-1----0----1----  2  ----3-----4------5

well then, now we know the vertex is at x = 2, but, what's the y-coordinate of it anyway?

y = (x - 5)(x + 1)

y = (2 - 5)(2 + 1)

y = (-3)(3)

y = -9
3 0
3 years ago
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Black_prince [1.1K]
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2 years ago
Brainliest to correct answer, hurry please!
omeli [17]

company A :

30,000 + 0.03(37499) = 31124.97...sales less then 37500

30,000 + 0.03(37501) = 31125.03....sales exceed 37500

30,000 + 0.03(249000) = 37470 ...sales less then 250000

30,000 + 0.03(251000) = 37530....sales exceed 250000


company B :

25,000 + 0.05(37499) = 26874.95...sales less then 37500

25,000 + 0.05(37501) = 26875.05...sales exceed 37500

25000 + 0.05(249000) = 37450...sales less then 250000

25,000 + 0.05(251000) = 37550...sales exceed 250000


so i believe your answer is option b,

company A pays better when sales are less then 250,000, but company B pays better when sales exceed 250,000 <==



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3 years ago
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marshall27 [118]

Answer:

(10-2)÷4.

Step-by-step explanation:

We are to select the correct expression that represents a number that is one fourth as great as 10-2.

Let the required number be represented by x.

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