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4 years ago

Please help asap 50 pts

Mathematics

2 answers:

Natasha_Volkova [10]4 years ago

8 0

If you factor the expression by grouping you should get (3g - 5) (2g +7)

Steps:
1. Factor 11 out of 11g
6g^2 + 11 (g) - 35

2. Rewrite 11 as -10 plus 21
6g^2 + (-10 + 21) g - 35

3. Apply the distributive property
6g^2 + (-10g + 21g) - 35

4. Remove parentheses
6g^2 - 10g + 21g - 35

5. Group the first two and the last two terms
(6g^2 - 10g) + (21g - 35)

6. Factor out the greatest common factor from each group
2g (3g - 5) + 7 (3g - 5)

7. Factor out the greatest common factor, 3g - 5
(3g - 5) (2g + 7)

Therefore the answer is A

Allushta [10]4 years ago

7 0

$6g^2+11g-35=6g^2+21g-10g-35=3g(2g+7)-5(2g+7)=(2g+7)(3g-5)$
Answer: A. (3g - 5)(2g + 7)

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Solve the system by substitution. x= 2y + 7 3x – 2y = 3 The solution is?

seropon [69]

Hi there! Your answer is x = -2, y = -9/2

In coordinate point, we can write (-2,-9/2)

Please see the explanation below for a clear understand about the problem.

Any questions about the answer, feel free to ask in comment! :)

Step-by-step explanation:

Goal

Solve the system of equations by substitution method.

Given

System of Equations

$\begin{cases} x=2y+7 \Longrightarrow (1)\\ 3x-2y=3 \Longrightarrow (2) \end{cases}$

Step 1

Since our x-term is the subject in the first equation, we can simply substitute x = 2y+7 in the second equation.

Substitute x = 2y+7 in the second equation.

$3x-2y=3\\3(2y+7)-2y=3$

We do this so we can solve for the y-term without any problems. (We need to get rid of a variable if there are more than one variable.)

Then we distribute/expand 3 in the expression.

$6y+21-2y=3\\4y+21=3$

Step 2

Solve the equation for y-term

To solve the equation, we have to isolate the term that we want. For this scenario, we want to know the value of y-term. Therefore, we isolate y-term.

$4y=3-21\\4y=-18\\y=-\frac{18}{4} \\y=-\frac{9}{2}$

Finally! we know the value of y which is -9/2. But we are not done yet!

Step 3

Substitute the y-value in any given equations.

After we solve the equation, we have to substitute the value in any given equations. No need to substitute the value in both equations! Choose an equation to substitute the value in.

For this, I will be choosing an equation with less coefficients which is the first equation.

$x=2y+7$

Substitute y = -9/2 in the equation.

$x=2(-\frac{9}{2})+7\\x=-9+7\\x=-2$

We should get x = -2 as the answer. This is our last step for finding an answer. The next few steps are going to be how to check the answer for system of equations. Note that next few steps are optional. If you are not certain that the answer is wrong or right, it is highly advised to check the answer before jumping to a conclusion!

Optional Steps - Answer Check

To check the answer, we can simply substitute both x-value and y-value in any given equations. You can either choose only a single equation to substitute in ONLY if you are certain/sure that the answer is likely correct. Substituting in both equations are recommended for beginners.

Step 3

Substitute x = -2 and y = -9/2 in the system of equations.

Step 3.1

Substitute in x = 2y+7

$x=2y+7$

From x = -2 and y = -9/2

$-2=2(-\frac{9}{2} )+7$

Cancel 2 out.

$-2=-9+7\\-2=-2$

As you can see, both sides are equal. That means the equation is true for x = -2 and y = -9/2.

Step 3.2

Substitute in 3x-2y = 3

$3x-2y=3$

Substitute x = -2 and y = -9/2 in the equation.

$3(-2)-2(-\frac{9}{2})=3\\-6+\frac{18}{2}=3\\-6+9=3\\3=3$

Since both equations are true for x = -2 and y = -9/4. We can conclude that:

$\huge\sf{x = -2 \ and \ y = -\frac{9}{2} \ are \ the \ solutions \ to \ the \ system \ of \ equations.}$

Hence, the answer is x = -2 and y = -9/2.

5 0

3 years ago

What is the difference of the following polynomials?

Snowcat [4.5K]

(6x^3-2x^2+4) - (2x^3+4x^2-5)

Subtract the like terms

6x^3 - 2x^3 = 4x^3

-2x^2 - 4x^2 = -6x^2

4 - (-5) = 9

The final answer would be

4x^3 - 6x^2 + 9

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4 years ago

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Write a real world problem that compares 0.4 and 0.29. Then solve the problem

Ostrovityanka [42]

Bob found 2 types of ropes at a store. They were both the same price with one that is 0.4m and the other one is 0.29. Which one is the best deal? The best deal is obviously the 0.4m

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4 years ago

HELP WITH 2 MATH QUESTIONS!!

mixas84 [53]

Answer:

Step-by-step explanation:

In order to determine the number of wax cubes needed to make the candle, we divide the volume of the pyramid by the volume of the cube. That is,

number of wax = volume of mold / volume of wax

The formulas are,

number of wax = (1/3)Ah / s³

Where A is the area of the base, in this case 9 cm x 9 cm which is equal to 81 cm². Substituting the known values from the given above,

number of wax = (1/3)(81 cm²)(10 cm) / (4 cm)³ = 4.21

Thus, approximate number of wax should be 4.21. If we are to round this off to the nearest whole number, we will get 5 (considering that we want rather to have excess than missing items)

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4 years ago

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Will give brainliest. Pls help. The volume of a cylinder is 300 feet^3. Find the volume of a cone and a sphere that have the sam

USPshnik [31]

Answer:

Cone: 100ft^3

Sphere: 200ft^2

Step-by-step explanation:

Firstly, the volume of a cone is 1/3 of the volume of the cylinder. It's literally in the formula:

$V_{cone} = \frac{h \pi r^2}{3}\\\textrm{As you can notice, }\pi r^2\textrm{ is the area of the base, like in the cylinder formula}\\$

So we can just instantly tell that the volume of the cone is 100feet^3.

Not for the sphere - we can assume that if the height is the same, it's equal to two radiuses, or simply - to the diameter. Let's use the formula for the volume of a sphere, but substitute one of the radiuses with $\frac{h}{2}$

$V_{sphere} = \frac{4\pi r^3}{3} = \frac{2\pi r^2 h}{3} = \frac{2h\pi r^2}{3} = 2\cdot V_{cone}$

So we can instantly tell that the volume of the sphere is 200feet^3

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3 years ago