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3 years ago

Slove the inequality 5(x + 1) <25 x < 4 x > -4 x > 4 Pls help meee

Mathematics

1 answer:

viktelen [127]3 years ago

7 0

Algebra

Use the distributive property to make 5x+5.

5x+5<25

Subtract 5 from both sides.

5x<20

Divide both sides by five.

x<4

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Dvinal [7]

Answer:

$\displaystyle m=\frac{-3}{4}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Reading a Cartesian plane
Coordinates (x, y)
Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point A(0, 8)

Point B(4, 5)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]: $\displaystyle m=\frac{5-8}{4-0}$
[Fraction] Subtract: $\displaystyle m=\frac{-3}{4}$

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What is the x-intercept of the line with this equation 13x+y=−15 ? Enter your answer in the box. ( , 0)

Nastasia [14]

Answer: The required x-intercept of the given line is $\left(-\dfrac{15}{13},0\right).$

Step-by-step explanation: We are given to find the x-intercept of the line with the following equation :

$13x+y=-15~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We know that

x-intercept of a line is a point on the line where the line crosses the x-axis, that is y co-ordinate is 0.

Substituting y = 0 in equation (i), we get

$13x+y=--15\\\\\Rightarrow 13x+0=-15\\\\\Rightarrow 13x=-15\\\\\Rightarrow x=-\dfrac{15}{13}.$

Thus, the required x-intercept of the given line is $\left(-\dfrac{15}{13},0\right).$

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