What fractions are equivalent to terminating decimals?

What is the sum of (4x2 – 10x + 3) and (-6x2 + 10x + 12)

kykrilka [37]

Answer:

-2x² + 15

Step-by-step explanation:

Step 1: Add like terms

4x² - 6x² = -2x²

-10x + 10x = 0

3 + 12 = 15

Step 2: Rewrite

-2x² + 15

6 0

3 years ago

Simplify: -3 1/2(-12 1/4)

pshichka [43]

Answer:

$26 \frac{1}{4}$

Step-by-step explanation:

First we turn them into improper fractions

$-\frac{7}{2}(-\frac{45}{4})$

then we multiply it

$-\frac{7}{2}*-\frac{45}{4}=\frac{315}{12}=26\frac{1}{4}$

6 0

3 years ago

Can you guys help me please!!

ella [17]

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2.C

3.D

4.D

5.D

6.A

7.C

8.B

9.A

10.C

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12.B

13.D

14.C

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7 0

3 years ago

Find an equation of the line passing through the given points (1,-3) and (3,3)

chubhunter [2.5K]

ANSWER: y= 3x - 6

STEP-BY-STEP EXPLANATION:

(1,-3) and (3,3)

X1=1 X2=3

Y1= - 3 Y2=3

1) Find the slope of the line.

To find the slope of the line passing through these two points we need to use the slope formula:

m = $\frac{Y2-Y1}{X2-X1}$

m= $\frac{3-(-3)}{3-1}$ m= $\frac{6}{2}$ = 3

2)Use the slope to find the y-intercept.

Now that we know the slope of the line is 3 we can plug the slope into the equation and we get:

y= 3x+b

Next choose one of the two point to plug in for the values of x and y. It does not matter which one of the two points you choose because you should get the same answer in either case. I generally just choose the first point listed so I don’t have to worry about which one I should choose.

y= 3x+b point (1,-3)

-3= 3(1) + b

-3-3=b

-6=b

3)Write the answer.

Using the slope of 3 and the y-intercept of -6 the answer is:

y = 3x - 6

6 0

3 years ago

PLEASE HELP ASAP ITS DUE SOON AND I NEED THE ANSWER RN! SHOW YOUR WORK ILL GIVE BRAINLIEST

IceJOKER [234]

Answer:

(12, -6)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients
Coordinates (x, y)
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

-4x = y - 42

x = 18 + y

Step 2: Solve for y

Substitute in x: -4(18 + y) = y - 42
Distribute -4: -72 - 4y = y - 42
[Addition Property of Equality] Add 4y on both sides: -72 = 5y - 42
[Addition Property of Equality] Add 42 on both sides: -30 = 5y
[Division Property of Equality] Divide 5 on both sides: -6 = y
Rewrite/Rearrange: y = -6

Step 3: Solve for x

Define original equation: x = 18 + y
Substitute in y: x = 18 - 6
Subtract: x = 12

6 0

2 years ago