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Vaselesa [24]
3 years ago
14

What is a correct first step in solving the inequality –4(3 – 5x)≥ –6x + 9?

Mathematics
2 answers:
Tcecarenko [31]3 years ago
4 0
Distribute the -4 to the 3 and the -5x.
SCORPION-xisa [38]3 years ago
3 0

Answer:

the answer is B –12 – 20x ≥ –6x + 9

on Ed genuity


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Find the measure of the missing angles.
Karolina [17]

Answer:

angles b and c should be 153° each.

Step-by-step explanation:

We know the smaller angle is 27°. The other small angle, vertical to the 27° angle is also 27° because they are vertical angles. Along the lines, two angles should form 180°. So 180-27=153°. All together the angles should be 360°. Check your answer by doing 153+153+27+27=360. therefore the missing angles are both 153°

4 0
2 years ago
How is an equation like an expression? How is it different?
morpeh [17]

Answer:

See explanation.

Step-by-step explanation:

An expression is a <u>set of terms that are combined using addition, subtraction, multiplication, or division.</u> The following are examples of expressions:

2x-1

5y+8

2

Note: expressions do not equal anything.

In contrast, equations are <u>expressions that equal at least one term.</u> The following are examples of equations:

2y-4=26

4x-4=0

x=10

y=x+2

Note: equations <u>do</u> equal a term, as shown in the examples.

3 0
2 years ago
A sheet of cardboard 12 inches square is used to make an open box by cutting out squares of equal size from the four corners and
GrogVix [38]

Answer:

x=6+3\sqrt{2} is the size of the square

Step-by-step explanation:

Let the side of the square cut from the cardboard be “x”

Size of the square base = 12 -2x, height of the box = x

Volume of square box = Area * height = (12-2x)^2 * x

Differentiating the above equation and equating it to zero, we get –  

d/dx ((12-2x)^2 * x)

d/dx{(144 + 4x^2 -48x)*x}= d/dx (144x + 4x^3 -48x^2)

d/dx (144x + 4x^3 -48x^2) = 0

144+8x^2-96X= 0\\18 +X^2-12X = 0

On solving above equation, we get –  

x=6+3\sqrt{2}  \\ x=6-3\sqrt{2}

5 0
3 years ago
Help ASAP! i will give brainliest!
m_a_m_a [10]

9514 1404 393

Answer:

  • -3/4a^3b^2
  • 3.2·10^-1
  • -0.1a^(n+1)

Step-by-step explanation:

To find the cube root, divide all of the exponents by 3. For a cube root, the sign is unchanged.

A) ∛(-27/64a^9b^6) = -∛(3^3/4^3·a^9·b^6) = -3/4a^3b^2

__

B) 9.6×10^-8 ÷ (3×10^-7) = (9.6/3)×10^(-8-(-7)) = 3.2×10^-1

__

C) ∛(-0.001a^(3n+3)) = -∛(0.1^3·a^(3n+3)) = -0.1a^(n+1)

7 0
2 years ago
What is the remainder R when the polynomial p(x) is divided by (x + 1)? Is (x + 1) a factor of p(x)? p(x) = -3x4 + 2x3 - x2 + 6
vodka [1.7K]

Answer:

(x+1) is a factor with remainder 0.

Step-by-step explanation:

We divide (x+1) into the polynomial -3x^4+2x^3-x^2+6 through long division or synthetic. We choose long division and look for what will multiply with (x+1) to make the polynomial -3x^4+2x^3-x^2+6 .

(x+1)(-3x^3)=-3x^4-3x^3

We subtract this from the original -3x^4-(-3x^4)+2x^3-(-3x^3)-x^2+6.

This leaves 5x^3-x^2+6. We repeat the step above.

(x+1)(5x^2)=5x^3+5x^2.

We subtract this from 5x^3-(5x^3)-x^2-(5x^2)+6=-6x^2+6. We repeat the step above.

(x+1)(-6x)=-6x^2-6x.

We subtract this from -6x^2-(-6x^2)+0x-(-6x)+6=6x+6. We repeat the step above.

(x+1)(6)=-6x+1.

We subtract this from 6x-(6x)+6-(6)=0. There is no remainder. This means (x+1) is a factor.


7 0
2 years ago
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