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4 years ago

Solve each quadratic equation. Show your work 15. x2 + 3x = 10

Mathematics

2 answers:

Margarita [4]4 years ago

5 0

X^2+3x-10=0
(x+5)(x-2)=0
x=-5 or x=2
Hope this helps.

OLEGan [10]4 years ago

4 0

X² + 3x = 10

Convert to standard form.
x² + 3x - 10 = 0

factor x² = x * x
factor -10 = 5 * -2

(x + 5) (x - 2) = 0
x(x -2) + 5(x-2) = 0
x² - 2x + 5x - 10 = 0
x² + 3x - 10 = 0

x + 5 = 0   x² + 3x = 10
x = -5 -5² + 3(-5) = 10
25 - 15 = 10
10 = 10

x - 2 = 0 x² + 3x = 10
x = 2 2² + 3(2) = 10
   4 + 6 = 10
   10 = 10

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What is the common ratio of the geometric sequence below?

Vadim26 [7]

Answer:

$\textbf{Option C - $0.1$}\\$

Step-by-step explanation:

$\textup{A geometric series is given by}\\$ a, ar, ar^2, ar^3,. . . , ar^{n-1}, ar^n $ \\\textup{\textbf{Geometric progression or GP is a sequence of numbers in which the next number in the sequence is obtained by multiplying a number to the previous number in the sequence.}}\\$

$\textup{This number is constant through out the sequence and is denoted by $r$. it is given by $r = \frac{ar^n}{ar^{n-1}}$} \\$

$\textup{Here, the given sequence is: $70, 7, 0.7,...$}\\$

$$i.e., a = 70, ar = 7$\\$

$\textup{Hence, $r = \frac{ar}{a} = \frac{7}{70}$ }\\$

$= \frac{1}{10} = 0.1$

7 0

3 years ago

Solve the following proportion for the unknown variable: 15/d = 24/40

Pavel [41]

Answer:
d = 25

Explanation:
To get the value of d, we will need to isolate the d on one side of the equation.

This can be done as follows:
 $\frac{15}{d} = \frac{24}{40}$ 

First, we will do cross multiplication as follows:
40*15 = 24*d
600 = 24d

Then, we will isolate the d as follows:
24d = 600
 $\frac{24d}{24} = \frac{600}{24}$

d = 25

Hope this helps :)

4 0

4 years ago

Read 2 more answers

Rosalinda examined the angles at right and wrote the equation below.

jeyben [28]

a. Does her equation make sense? If so, explain why her equation must be true. If it is not correct, determine what is incorrect and rewrite the equation.

b. If you have not already done so, solve her equation, clearly showing all your steps. What are the measures of the two angles?

c. Verify that your answer is correct.

The figure is attached below

Given : (2x+1) + (x-10) = 90

(a) Yes , the equation make sense because right angle is 90 degree. Also two angles make up 90 degree.

(b) solve for x, (2x+1) + (x-10) = 90

2x+1 + x-10 = 90 ( combine like terms)

3x -9 = 90 (add 9 on both sides)

3x = 99

x = 33

One angle is 2x+1 = 2(33) +1 = 67 degrees

Another angle = x-10 = 33-10 = 23 degrees

67 + 23 = 90

So verified

7 0

3 years ago

Umnica [9.8K]

The system of equations x+y=46 and 15x+9y=396 could be used to find the number of boxes of each item sold.

Step-by-step explanation:

Given,

Cost of one box of raspberry scones = $15.00

Cost of one box of lemon poppy seed muffins = $9.00

Total boxes sold = 46

Total revenue earned = $396

Let,

x be the number of raspberry scones sold.

y be the number of lemon poppy seed muffins sold.

According to given statement;

x+y=46 Eqn 1

15x+9y=396 Eqn 2

The system of equations x+y=46 and 15x+9y=396 could be used to find the number of boxes of each item sold.

8 0

3 years ago

If LM = 6, what is the perimeter of △PKQ?

vovangra [49]

Answer:

KM=LN Given

KM=KL+LM Segment Addition Postulate

LN=LM+MN Segment Addition Postulate

KL+LM=LM+MN Substitution Property of Equality

KL=MN Subtraction Property of Equality this is the formula :)

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers