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jolli1 [7]
2 years ago
9

How many solutions does the following equation have?

Mathematics
2 answers:
DanielleElmas [232]2 years ago
8 0

Answer:

B. Exactly One Solution

Step-by-step explanation:

Given:

7(y+3)=5y+8

Expand the brackets:

\implies 7y + 21 = 5y + 8

Subtract 21 from both sides:

\implies 7y + 21-21 = 5y + 8-21

\implies 7y=5y-13

Subtract 5y from both sides:

\implies 7y-5y=5y-13-5y

\implies 2y=-13

Divide both sides by 2:

\implies \dfrac{2y}{2}=\dfrac{-13}{2}

\implies y=-\dfrac{13}{2}

Therefore, the equation has <u>exactly one solution.</u>

dedylja [7]2 years ago
3 0
B. Exactly one solution

7y +21 = 5y +8
7y +13=5y
13=-2y
-6.5=y
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There are three consecutive integers such that the sum of the two smallest integers is 17 less than three times the largest.What
abruzzese [7]
ANSWER:

Let the smallest integer = x

x + x + 1 = 3 ( x + 2 ) - 17

2x + 1 = 3x + 6 - 17

2x - 3x = 6 - 17 - 1

- x = - 12

x = 12

FINAL ANSWER:

Therefore, the smallest integer is 12.

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3 years ago
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Solve the inequality 4t^2 ≤ 9t-2 please show steps and interval notation. thank you!​
FromTheMoon [43]

Answer: t\in [\dfrac{1}{4},2]

Step-by-step explanation:

Given

Inequality is 4t^2\leq9t-2

Taking variables one side

\Rightarrow 4t^2-9t+2\leq0\\\Rightarrow 4t^2-8t-t+2\leq0\\\Rightarrow 4t(t-2)-1(t-2)\leq0\\\Rightarrow (4t-1)(t-2)\leq0

Using wavy curve method

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3 0
2 years ago
Each of 6 samples has a different standard deviation. How many of the 6 samples could be from the same population?
pav-90 [236]
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3 0
3 years ago
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What is the value of the expression |-5x+12| when x=5
MissTica

First, plug in 5 for x:

| -5 * 5 + 12 | = |-25 + 12| = |-13|

Those two lines are absolute value, which measures the distance from the number to 0 on a number line. This distance is always positive.

The distance from -13 to 0 on a number line is 13. The answer is 13.

6 0
3 years ago
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