Select the correct answer.
Which value of x makes this equation true?
-12x2(x + 9) = 5(x + 4)
O A.
OB.
O C.
O D.

Answer:

x = [tex]\frac{1}{2}[/tex] , x = - [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

(2x - 1)(3x + 4) = 0

equate each factor to zero and solve for x

2x - 1 = 0 ( add 1 to both sides )

2x = 1 ( divide both sides by 2 )

x = [tex]\frac{1}{2}[/tex]

and

3x + 4 = 0 ( subtract 4 from both sides )

3x = - 4 ( divide both sides by 3 )

x = - [tex]\frac{4}{3}[/tex]

So

And

Answer:

87 = <1

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the two opposite interior angles.

124 = 37 + <1

Subtract 37 from each side

124 -37 = <1

87 = <1

Answer:

3497.47 feet

I think it's the answer because when you look where I've drawn...that's where the angle of depression is and 6600 is the hypotenuse, so you use the sine method where you have opposite over hypotenuse

[tex] \sin(32 = opposite \6600) [/tex]

and you'll get your answer as 3497.47

The selling price of the article including VAT will be 1000.

The cost at which an article is sold is known as the selling price.

Let the market price will be x

Given data;

Discount=20 %

The amount of the discount is;

[tex]\rm Discount = x- x \times \frac{20}{100} =\frac{80x}{100}[/tex]

Applied tax is;

[tex]\rm \frac{80x}{100} +\frac{80x}{100} \times \frac{15}{100} =904 \\\\ \frac{8000x+1040 x}{10000} =904 \\\\ 9040 x = 904 \times 10000 \\\\\ x=\frac{904 \times 10000}{9040} \\\\ x=1000[/tex]

Hence, the selling price of the article including VAT will be 1000.

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[tex] \: \huge \underline \mathbb{ \green{Answer}} \\ \\ \: \: \tt \boxed{\blue{d. \: \: an \: \: interval \: \: estimate}}[/tex]

2.5 miles/hour

Simply 15/6

Answer:

Colin walks an average speed of 2.5 miles per hour.

Step-by-step explanation:

15/6= 5 miles/2 hours

2.5

The estimated regression equation is Price = bo +b1Age+ b2Mileage + b3Cylinders

We have:

The regression equation is estimated using:

Price = bo +b1 * Variable 1+ b2 * Variable 2 + b3 * Variable 3

Substitute the variable parameters

Price = bo +b1Age+ b2Mileage + b3Cylinders

Hence, the estimated regression equation is Price = bo +b1Age+ b2Mileage + b3Cylinders

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Solve for x coordinate of solution

Check given value in options and approximate them

So x coordinate is -13/4

Option C is correct as no one contains -13/4 except C

Answer:

[tex]\sf C. \quad \left(-\dfrac{13}{4},\dfrac{5}{2}\right)[/tex]

Step-by-step explanation:

The solution to a system of graphed equations is the point of intersection.

From inspection of the graph:

As the x-coordinate is negative, this eliminates answer options A and B.

Assessing the x-coordinate of answer options C and D:

⇒ C.   -13/4 = -3.25

⇒ D.    -5/2 = -2.5

Therefore, as the x-coordinate of the point of intersection is between -4 and -3, the approximate solution of the system of equations is:

[tex]\sf C. \quad \left(-\dfrac{13}{4},\dfrac{5}{2}\right)[/tex]

Answer:

x=9

if

a^b = a^c

then b=c

so in this case x=9

Answer:

[tex]\huge\boxed{E.\ 5^{4+x}}[/tex]

Step-by-step explanation:

Use:

[tex]a^n\cdot a^m=a^{n+m}[/tex]

[tex]5^4\cdot5^x=5^{4+x}[/tex]

Answer:

-7,-6,-5 are the values when x=0,1,2

Step-by-step explanation:

please mark me as brainlest

Answer:

Step-by-step explanation:

y =x - 7

Substitute x = 0 and find the y-value

       y = 0 - 7

      y = -7

(0,-7)

Substitute x = 1,

    y = 1 - 7

    y = - 6

(1,-6)

Substitute x = 2,

        y = 2 - 7

       y = -5

(2,-5)

Answer:

29

Step-by-step explanation:

87×156+29=13601

First do 13601/87=156.3333...
156 × 87 = 13572
13601-13572=29
so, 87×156+29=13601

Answer:

Step-by-step explanation:

What least number must be subtracted from 13601 to get a number exactly divisible by 87?

13601 : 87 = 156 and remainder 29

so your answer is 29

---------------

check

(13601 - 29) : 87 =

13572 : 87 = 156

Answer:

x-2y/x

Step-by-step explanation:

x²-4xy+4y²/x²+xy-6y²÷x²+3xy/x²+6xy+9y² = x-2y/x

Answer:

Good idea for thanks......

The matrix elements are nothing more than the matrix entries. The correct option is B.

The matrix elements are nothing more than the matrix entries. They can be integers, variables, mathematical formulas, or any other type of character included within the matrix.

The value of a₁₄ is the value of the element of the given matrix, where 1 represents the row and 4 represents the column. Therefore, the value of a₁₄ is the element of the first row and the fourth column, which means the value of a₁₄ is 5.

Hence, the correct option is B.

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The solution to the system of equation are x=2, y=0, z=6

System of equations are equations that contains unknown variables.

Given the equations

3x+y+2z=8

8y+6z=36

12y+2z=12

From equation 2 and 3

8y+6z=36 * 1

12y+2z=12 * 3

______________

8y+6z=36

36y+6z= 36

Subtract

8y - 36y = 36 - 36

-28y =0

y = 0

Substitute y = 0 into equation 2

8(0)+6z=36

6z = 36

z = 6

From equation 1

3x+y+2z =8

3x + 0 + 2(6) = 8

3x = 8 - 12

3x = 6

x = 2

Hence the solution to the system of equation are x=2, y=0, z=6

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Answer:

It's rounded to the whole, which is 6.

Step-by-step explanation:

A quadrilateral in which opposite sides are parallel is called a parallelogram. The measure of the ∠GFH is 16°.

A quadrilateral in which opposite sides are parallel is called a parallelogram. Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

For a parallelogram and a rhombus opposite sides are parallel, therefore, the sides that are parallel are,

AB║DC║ED║FG

Since the sides are parallel,

∠ABC = ∠FGH = 126°

Also, ∠AHC and ∠GHF lie on the same line, therefore,

∠AHC + ∠GHF = 180°

∠GHF = 180° - 142° = 38°

Now, in ΔGHF

∠GHF + ∠HFG + ∠GFH = 180°

∠GFH = 180° - 126° - 38°

∠GFH = 16°

Hence, the measure of the ∠GFH is 16°.

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The scale factor of the enlargement will be 3. Then the center of enlargement is marked in the diagram.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

Shape A is enlarged to give shape B.

Then the scale factor of the enlargement will be

⇒ 3 / 1

Then the center of enlargement is marked in the diagram.

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The partial pressure of the Ne in the mixture is 0.29 atm if the as mixture has a total pressure of 0.56 atm and consists of He and Ne.

Dalton's law states that the total partial pressures of all the gases in a mixture of non-reacting gases at a constant temperature equal the pressure the mixture exerts.

We have:

A gas mixture has a total pressure of 0.56 atm and consists of He and Ne. If the partial pressure of the He in the mixture os 0.27 atm.

According to Dalton's law

Total pressure = partial pressure of He + Partial pressure of Ne

0.56 = 0.27 + P(Ne)

P(Ne) = 0.29 atm

Thus, the partial pressure of the Ne in the mixture is 0.29 atm if the as mixture has a total pressure of 0.56 atm and consists of He and Ne.

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Answer:

5

Step-by-step explanation:

5

Answer: x+y=23, 3x+2y = 55 x + y = 55, 3x + 2y = 55 x+y=23, 2x+3y= 55 x+y=55, 2x+3y =23

Step-by-step explanation: The question said the sum is x+y so if the sum is 55, x+y=55

Answer:

b = 0 and b = 4

Step-by-step explanation:

[tex]\frac{5}{3b^3-2b^2-5}[/tex] = [tex]\frac{2}{b^3-2}[/tex] ( cross- multiply )

2(3b³ - 2b² - 5) = 5(b³ - 2) ← distribute parenthesis on both sides

6b³ - 4b² - 10 = 5b³ - 10 ( subtract 5b³ from both sides )

b³ - 4b² - 10 = - 10 ( add 10 to both sides )

b³ - 4b² = 0 ← factor out b² from each term on the left side

b²(b - 4) = 0

equate each factor to zero and solve for b

b² = 0 ⇒ b = 0

b - 4 = 0 ⇒ b = 4

Answer:

387

Step-by-step explanation:

6(4)³ + 3(1)²

6(64) + 3(1)

384 + 3

= 387

Answer:

Julie's score is 15.

Step-by-step explanation:

This can be solved in two ways:

⇒ 120 ÷ 8

⇒ Experimentation on what × 8 = 120 (adding random numbers until you get 120 as a product).

Let's use the first method.

⇒ 120 ÷ 8

         1 5

   __________

8 |  1  2 0

   -     8

        ____

        4    0

       - 4  0

      ____

       0

Therefore, Julie's score is 15.