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lisov135 [29]
2 years ago
8

I forgot how to find the range of values of x and I will be very much appreciated if I could get a step by step clear solution t

o get the answers!

Mathematics
1 answer:
Ksivusya [100]2 years ago
5 0

The <em>quadratic</em> equation has the following results: (p, q) = (8, 15), minimum point: (h, k) = (1, 4), range of values: - 4 < x < - 3

<h3>How to analyze quadratic equations</h3>

In this question we have a <em>quadratic</em> equation of the form y = x² + p · x + q , whose <em>missing</em> coefficients can be found by solving on the following system of <em>linear</em> equations:

- 5 · p + q = - 25

- 3 · p + q = - 9

(p, q) = (8, 15)

The vertex represents the <em>minimum</em> point, which is found by changing the form of the equation from <em>standard</em> form into <em>vertex</em> form:

y = x² + 8 · x + 15

y + 1 = x² + 8 · x + 16

y + 1 = (x + 4)²

(h, k) = (1, 4)

And lastly we must solve for x in the following inequality:

x² + 8 · x + 15 < x + 3

x² + 7 · x + 12 < 0

(x + 3) · (x + 4) < 0

- 4 < x < - 3

To learn more on quadratic equations: brainly.com/question/2263981

#SPJ1

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ASAP!
ANTONII [103]

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. The value of x is 10. Thus, the correct option is B.

<h3>What are Similar Figures?</h3>

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol "~".

Since the two prisms are similar, their sides will be in a common ratio. The value of the common ratio will be,

Common ratio = 4/2 = 5/2.5 = 3/1.5 = 2

Since the common ratio of every side is equal to 2, the value of x can be written as,

Common Ratio = 20/x = 2

20/x = 2

x = 10

Hence, the value of x is 10. Thus, the correct option is B.

Learn more about Similar Figures:

brainly.com/question/11315705

#SPJ1

3 0
2 years ago
A bag contains tickets numbered 1 through 5. Use the probability distribution to determine the probability of drawing an odd num
Makovka662 [10]

Answer:

The probability of drawing an odd numbered ticket is 60%.

Step-by-step explanation:

Odd numbered tickets:

Probability of one is 1/5 plus half of 1/5.

P(X = 1) = \frac{1}{5} + \frac{1}{10} = \frac{3}{10}

Probability of 3 is half of 1/5.

P(X = 3) = \frac{1}{10}

Probability of 5 is 1/5. So

P(X = 5) = \frac{1}{5}

Probability of drawing an odd numbered ticket:

p = P(X = 1) + P(X = 3) + P(X = 5) = \frac{3}{10} + \frac{1}{10} + \frac{1}{5} = \frac{4}{10} + \frac{2}{10} = \frac{6}{10} = 0.6

0.6*100% = 60%

The probability of drawing an odd numbered ticket is 60%.

3 0
3 years ago
Find the gradients of lines A and B.
kherson [118]
Hey, you didn’t provide any picture or further context.

To solve for gradient, do (y2-y1)/(x2-x1)
So what do you think?
5 0
2 years ago
The amount of time (t) in minutes it takes Jeff to mow an average sized yard is related to (n) the number of yards he mows. The
Sveta_85 [38]

Answer:

Jeff mows 9 yards of lawn in 30 minutes

Step-by-step explanation:

The equation that models the amount of time (t) in minutes it takes Jeff to mow an average sized yard is t=2n+12, where n is the number of yards he mows.

To find the number of yards Jeff mows in 30 minutes, we set the equation to 30 and solve for n.

\implies 2n+12=30

Add -12 to both sides:

\implies 2n=30-12

\implies 2n=18

Divide both sides by 2

\implies \frac{2n}{2}=\frac{18}{2}

\implies n=9

Hence Jeff mows 9 yards of lawn in 30 minutes.

4 0
3 years ago
Which of the following is a result of shifting a circle with equation
ladessa [460]
The answer might be B, but realize if a circle is shifting both y and x can’t decrease.. and both cant increase at the same time.
3 0
3 years ago
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