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3 years ago

Factor the expression for 4X + 32. Explain each step you take in the process

Mathematics

2 answers:

Vikentia [17]3 years ago

7 0

4(x+8)

because 4 is the greatest common factor of 4 and 32. you distribute the 4 into the parenthesis and get 4x+32

Ainat [17]3 years ago

6 0

Step-by-step explanation:

The GCF of 4x and 32 is 4, so the first step is to divide each term by 4. The quotients are x and 8. The factored expression will be 4(x + 8).

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Is 0.158 greater than 0.58

Juli2301 [7.4K]

No. 0.158 is less than 0.58

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3 years ago

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The triangle on the grid will be translated two units left. On a coordinate plane, triangle A B C has points (negative 1, negati

nignag [31]

Answer:

Option B.

Step-by-step explanation:

The given vertices of triangle ABC are (-1, -1), (-1, -5) and (0.5, -5).

We need to find the coordinates of triangle when it is translated two units left.

So, the rule of translation is

$(x,y)\rightarrow (x-2,y)$

Using this rule, we get

$A(-1,-1)\rightarrow A'(-1-2,-1)=A'(-3,-1)$

$B(-1,-5)\rightarrow B'(-1-2,-5)=B'(-3,-5)$

$C(0.5,-5)\rightarrow C'(0.5-2,-5)=C'(-1.5,-5)$

The vertices of triangle A'B'C' are A'(-3,-1), B'(-3,-5) and C'(-1.5,-5).

Therefore, the correct option is B.

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3 years ago

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1. What is the constant of proportionality, k, of Kevin's wage? Greg's? Savannah's?

Gala2k [10]

Answer:

Part a) The constant of proportionality of Kevin's wage is $k=\$8.25\ per\ hour$

Part b) The constant of proportionality of Greg's wage is $k=\$9.00\ per\ hour$

Part c) The constant of proportionality of Savannah's wage is $k=\$9.50\ per\ hour$

Step-by-step explanation:

See the attached figure to better understand the problem

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

To find out the constant of proportionality k , divide the variable y (total earned) by the variable x (number of hours)

Kevin's wage

Take any point from the table

I take the point (2,16.50)

$k=\frac{16.50}{2}=\$8.25\ per\ hour$

Greg's wage

Take any point from the table

I take the point (3,27.00)

$k=\frac{27.00}{3}=\$9.00\ per\ hour$

Savannah's wage

Take any point from the table

I take the point (2,19.00)

$k=\frac{19.00}{2}=\$9.50\ per\ hour$

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3 years ago

Quadratic equations and complex numbers PPEASE ANSWER ASAP

mariarad [96]

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3 years ago

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3 1/10- 2 5/6 in simplest form

Allushta [10]

Answer:

$\frac{4}{15}$

Step-by-step explanation:

$3 \frac{1}{10} - 2 \ \frac{5}{6}$

Convert the above mixed numbers to improper fractions through this simple approach: 3 × 10 + 1 /10 = 31/10. Similarly, 2 × 6 + 5 /6 = 17/6

$\frac{31}{10} - \frac{17}{6}$

Take the LCM of the denominators and simplify. LCM = 60. Thus, 60/10 = 6; 6 × 31 = 186. Also, 60/6 =10; 10×17 =170 all divide by 60:

$= \frac{186 - 170}{60}$

Common factors between the numerator and denominator is 4, therefore 16/4 = 4 and 60/4 = 15.

$= \frac{16}{60} = \frac{4}{15}$

Therefore the answer is 4/15 in simplest form.

8 0

3 years ago