Write equivalent expressions.

1. 5(a+a+a)= ________________________________________________________________________

2.6(3x-4)=____________________________________________________________ _______​

Answer:

c)

Step-by-step explanation:

x^2+4x-32 = (x-4)(x+8)

hence,

(x-4)(x+8) = 0

x = 4 or x = -8

the graph intersects at 4 not -4

Jamal is incorrect because x2+4x−32 is equivalent to (x−4)(x+8). Option C is correct.

Jamal uses factoring to find the zeros of the equation x²+4x−32=y. He concludes that the graph intersects the x-axis at x=−4 and x=8.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
x²+4x−32=y
Let y = 0
x²+4x−32=0
x² + 8x - 4x - 32 = 0
x (x + 8) - 4 (x + 8) = 0
(x - 4)(x + 8) = 0

Thus, Jamal is incorrect because x2+4x−32 is equivalent to (x−4)(x+8). Option C is correct.

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Answer:

Step-by-step explanation:

333 times 555=184815

777 times 444=344988

now add 184815+344988=529803

Answer:

Option A, 168 km³

Step-by-step explanation:

Volume of the rectangular prism,

7×4×6

= 168

Answer:

(3+a)

Step-by-step explanation:

3a + a^2

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

a

Factor out an a in the numerator

a(3+a)

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

a

Cancel like terms

(3+a)

Step-by-step explanation:

[tex] \frac{3a + {a}^{2} }{a} \\ = \frac{3a}{a} + \frac{ {a}^{2} }{a} \\ = 3 + a \\ thank \: you[/tex]

Answer:

part a)

Step-by-step explanation:

Answer:

6h+4  -2h +3

Step-by-step explanation:

(6h + 4) - (2h - 3)

Distribute

6h+4  -2h +3

9514 1404 393

Answer:

  7.56 cm

Step-by-step explanation:

The volume is given by the formula ...

  V = 1/3b²h . . . . where b is the base edge length, and h is the height.

Here we have V = 144 cm³, and b = h. Filling in these values and solving for h, we get ...

  144 cm³ = 1/3h³

  432 cm³ = h³

  h = ∛432 cm ≈ 7.55953 cm

The height of the pyramid is about 7.56 cm.

Answer:

[tex]7.56cm[/tex]

Step-by-step explanation:

Given that,

base length = Height

so,

[tex]volume = \frac{1}{3} {b}^{2} h \\ [/tex]

We can also write this as( according to this question)

[tex]v = \frac{1}{3} \times {b}^{2} \times b \\ v = \frac{ {b}^{3} }{3} [/tex]

let's solve

[tex]v = \frac{ {b}^{3} }{3} \\ 144 = \frac{ {b}^{3} }{3} \\ 144 \times 3 = {b}^{3} \\43 2 = {b}^{3} \\ \sqrt[3]{432} = b \\ b = 7.55[/tex]

[tex]base = height = 7.55cm \\ [/tex]

= 7.56cm

Answer:

Step-by-step explanation:

369 = x + (x+2) + (x+4)

369 = 3x + 6

363 = 3x

121 = x

now that we know that x = 121, we can solve the equation by plugging in the variable

369 = x + (x+2) + (x+4)

369 = 121 + 123 + 125

369 = 369

The smallest three integers are 121,123 and 125.

Let, the smallest odd integers be n

Then according to the given condition,

[tex]n+(n+2)+(n+4)=369\\3n+6=369\\3n=363\\n=121[/tex]

So, the numbers are,

[tex]n=121\\n+2=121+2=123\\n+4=121+4=125[/tex]

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Answer:

866.16??????

Step-by-step explanation:

The amount is 4,494.40 plant earned per man-hour of labor 3 years after it opened.

It is required to find the amount the plant earned per man-hour of labor 3 years after it opened.

A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant. where r is the common ratio between successive terms.

Given:

A manufacturing plant earned 4000 pesos per man-hour of labor.

Rate= 6% per man-hour.

Time=3 years

We can consider the geometric sequence formula

[tex]A_{n} = A_{1} r^{n-1}[/tex]

[tex]A_{1}[/tex]= 4000

r = 1.06/1 = 1.06

n = 3

Substitute:

[tex]A_{3} = 4000(1.06)^{3-1} \\A_{3} = 4000(1.06)^{2}\\A_{3}= 4000(1.1236)\\A_{3} = 4,494.40[/tex]

Therefore, the amount is 4,494.40 plant earned per man-hour of labor 3 years after it opened.

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false

Step-by-step explanation:

false

If [tex]P(x) = p_nx^n + p_{n-1}x^{n-1}+\ldots+p_0[/tex] is divided by [tex](x-a)[/tex], then [tex]P(x) = (x-a) \cdot Q(x) + R(x)[/tex] for some polynomials [tex]Q,R[/tex]. Moreover, [tex]\deg R < 1[/tex] (because [tex]\deg (x-a) = 1[/tex]), so there exists  [tex]\alpha \in \mathbb{R}[/tex] such that [tex]R(x) = \alpha[/tex] for all [tex]x \in \mathbb{R}[/tex]. But if we calculate [tex]P(a)[/tex], it turns out that [tex]P(a) = (a-a)\cdot Q(a) + \alpha[/tex], so [tex]R(x) = \alpha = P(a)[/tex]. [tex]\blacksquare[/tex]

Answer:

[tex](2-\sqrt{7}, 2+\sqrt{7})[/tex]

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

Let f be our function:

● f(9) = 6

● f(11) = 11

Let m be the average speed over the interval [9,11]

● m = [f(11)-f(9)] / 11-9

● m = 11-6 / 2

● m = 5 / 2

● m = 2.5

So the answer is five halves.

Answer:

5/2

Step-by-step explanation:

D on edge

Answer:

LP = 45

Step-by-step explanation:

MQ/NP = LQ/LP

= 9/27

= 1/3

if LQ is 15 and is 1u, LP (3u) is 15 × 3 = 45

Answer:

[tex]\huge \boxed{45}[/tex]

Step-by-step explanation:

We can solve by using ratios since the triangles are congruent.

[tex]\displaystyle \sf \frac{MQ}{NP} =\frac{LQ}{LP}[/tex]

Let the length of LP be x.

[tex]\displaystyle \frac{9}{27} =\frac{15}{x}[/tex]

Cross multiply.

[tex]9x=15 \times 27[/tex]

[tex]9x=405[/tex]

Divide both sides by 9.

[tex]\displaystyle \frac{9x}{9} =\frac{405}{9}[/tex]

[tex]x=45[/tex]

Answer:

?

Step-by-step explanation:

Brainly challenge.

When you round 2.1 to the nearest whole number, the answer will be 2.

Answer:

2 is the answer

Step-by-step explanation:

to round 2.1 to the nearest whole number consider the tents value of 2.1 which is 1 end less than five therefore we have to round down the ones place value of 2.1 . 2 remains 2 and the decimal point is removed.

2.1 to the nearest whole number is 2

Answer:

z= -3

Step-by-step explanation:

Given:

1/2z =-3/4 + 1/4z

Collect like terms

1/2z - 1/4z = -3/4

Add 1/2z - 1/4z

2z-z / 4 = -3/4

We have

z/4=-3/4

Same as

z(1/4) = -3/4

Divide both sides by 1/4

z(1/4) ÷ 1/4 = -3/4÷1/4

z(1/4) × 4/1= -3/4 × 4/1

z(4/4) = -12/4

z= -3

The value of z= -3

Answer:

-3

Step-by-step explanation:

I got it right on the test

Best way to solve this is by using

[tex] \sqrt{s(s - a)(s - b)(s - c)} [/tex]

[tex]where \: s = \frac{a + b + c}{2} [/tex]

s=(12+8+17)/2

=18.5

using the formulae

area =43.5

Answer:

256

Step-by-step explanation:

First, handle the exponent:

2²=4 (2*2=4)     and     4³=64 (4*4=16*4=64)

Now multiply those two outcomes:

4*64=256

This equation is also known as 4⁴

Answer:

y=0

Step-by-step explanation:

Answer:

y=0           This is because if you add -5y -2y you get 0=-7y. You want to isolate the y-value so you would divide both side by 7. Once you do that you will come up with 0/-7. If you simplify that you end up getting just 0.

Answer: 60

Step-by-step explanation:

5+5+5+5+5+5+5+5+5+5+5+5=12 so 5x12 is 60 use repeated addition

The equation of the line of best fit that Frank drew will be y = -(1/3) x + 16. Then the correct option is D.

Suppose the given points are (x₁, y₁) and (x₂, y₂), then the equation of the straight line joining both two points is given by

[tex]\rm (y - y_1) = \left [ \dfrac{y_2 - y_1}{x_2 - x_1} \right ] (x -x_1)[/tex]

Frank created a scatter plot and drew a line of best fit, as shown.

From the graph, the two points are taken that are (0, 16) and (3, 15).

(x₁, y₁) → (0, 16)

(x₂, y₂) → (3, 15)

Then the equation of line will be

y – 16 = -1/3(x – 0)

       y = -(1/3) x + 16

Then the correct option is D.

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Answer:

22222222222221977777777777778

Step-by-step explanation:

I hope it is clear for you. please rate brainliest

Answer: 2.22222222E+28

Step-by-step explanation:

please click thanks and mark brainliest if you like :)

Answer:the answer is A

Step-by-step explanation:

The step is

Real number - rational(irrational)_ - integer - whole - then natural

The true statement regarding number sets are b. all irrational numbers are real numbers.

Irrational numbers are those numbers which have a non-repeating, non-terminating pattern after decimal place.

According to the given statements we have to determine which is true.

a. all integers are not whole numbers as 0 contains in the set of whole numbers but not in the set of integers.

b. all irrational numbers are real numbers this is a true statement because all the real numbers consist of rational and irrational numbers.

We don't need to check other options because we have been asked which of the following is true not which of the following is/are true.

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answer is 19

the explanation is in the attachment

Answer:

The answer to your question is 1, or answer choice A.

Step-by-step explanation:

x+ 2 /7 = 3 /7 x+ 6 /7

x+ 2 /7 − 3 /7 x= 3 /7 x+ 6 /7 − 3 /7 x

4 /7 x+ 2 /7 = 6 /7

4 /7 x+ 2 /7 − 2 /7 = 6 /7 − 2 /7

4 /7 x= 4 /7

( 7 /4)*( 4 /7 x)=( 7 /4 )*( 4 /7 )

x=1  

Answer:

Step-by-step explanation:

4*10^7/6*10^5=6.67, so (B) is the answer.

Answer: Do 4 x 10x10x10x10x10x10x10 do 6x 10x10x10x10x10 once you get those answers you subtract them and that is your answer.