Mathematics Middle School

What is the solution of 3square root x+8 = -4?
• x=-72
• x=-66
• x=58
• no solution

Answers

Answer 1

Answer:

No solution

Step-by-step explanation:

I'd suggest you try to solve this first:  3√(x + 8) = 4.  First, square both sides; this results in 9(x + 8) = 16, or x + 72 = 16/9, or x = -632/9.  We cannot let x = -632/9 in √(x + 8) because -632/9 is not in the domain of the square root function.  No solution.

If we now write 3√(x + 8) = -4   (note the negative sign), similar efforts at solution result in 9(x + 8) = -4, or x + 8 = -4/9, or x = -8 - 4/9.  If we now substitute this result for (x + 8) in 3√(x + 8) = -4 (above), we get 3√(-8 + 8 - 4/9), which has no solution; -4/9 is not in the domain of the square root function.

Answer 2

The solution for the given equation is 16.

The given equation is 3√x+8=-4.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

The solution for the given equation can be determined as follows:

Now, 3√x+8=-4

⇒ 3√x=-4-8

⇒ 3√x=-12

⇒ √x=-12/3

⇒ √x=-4

Squaring both the sides, we get

x=16

Therefore, the solution for the given equation is 16.

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Related Questions

Solve for x: −8 x > 6 7 > x > 6 TONS OF POINTS WHO EVER HAVE THE BEST GET BRAINLIEST!!!!!!!

Answers

Answer:

7 > x > 6

Step-by-step explanation:

- 8 x > 67 > x > 6 will become  -8 x > 6 when you cancel out the 67 and the x .

Then you will calculate - 8 x > 6 which will equal to 7 > x > 6 .

So your answer would be your last option

I hope this helps :)

What is the value of x in the equation 8 + 4 = 2 (x minus 1)? 5 StartFraction 11 Over 2 EndFraction StartFraction 13 Over 2 EndFraction 7

Answers

Answer:

7

Step-by-step explanation:

We can simplify the equation to

12 = 2x - 2

Add 2 to both sides

14 = 2x

Divide by 2

x = 7

Answer:

7

Step-by-step explanation:

Phone’s Plus charges a connection fee of 35 cents and 3 cents per minute. Fabulous Phones charges a connection fee of 45 cents and 2 cents per minute. Which equation could be used to determine the number of minutes, x, when a phone call would cost the same at both companies?

A. 0.35+0.3x=0.45+0.2x

B. 0.35+0.03x=0.45+0.02x

C. 35+0.03x=45+0.2x

D. 35+0.03x=45+0.02x

Answers

Answer:

B. 0.35 + 0.03x = 0.45 + 0.02x

Step-by-step explanation:

I don't really know how to explain it, but it is correct.

This is complicated,no how to explain its c. Jk it’s b :p

Which statement justifies that ∠K ≅ ∠N? answers: A) ΔHKL ≅ ΔHMN by ASA; but the two angles aren't congruent because they aren't corresponding angles. B) The two angles aren't congruent. C) ΔHKL ≅ ΔHMN by ASA; ∠K ≅ ∠N because they're corresponding angles in congruent triangles. D) ΔHLK ≅ ΔHMN by AAS; ∠K ≅ ∠N because they're corresponding angles in congruent triangles.

Answers

Answer:

Correct answer is:

D) ΔHLK ≅ ΔHMN by AAS; ∠K ≅ ∠N because they're corresponding angles in congruent triangles.

Step-by-step explanation:

We are given the diagram, in which there are 2 triangles namely [tex]\triangle HLK, \triangle HMN[/tex].

1. Side KH = Side NH

2. [tex]\angle L \cong \angle M[/tex]

From the given figure, we can derive that:

[tex]\angle KHL \cong \angle NHM[/tex]

Property used: Vertically opposite angels made by two lines crossing each other are equal.

So, we have two angles ([tex]\angle L \cong \angle M[/tex] and [tex]\angle KHL \cong \angle NHM[/tex])of the triangle as same and one side equal from the two given triangles [tex]\triangle HLK, \triangle HMN[/tex].

So, we can say that the two triangles are congruent.

[tex]\triangle HLK \cong \triangle HMN[/tex]

The side is not between the two equal angles, so it is AAS congruence.

And Congruent triangles have their corresponding angles equal.

Therefore, option D) is true :

ΔHLK ≅ ΔHMN by AAS; ∠K ≅ ∠N, because they're corresponding angles in congruent triangles.

Answer:

ΔHLK ≅ ΔHMN by AAS; ∠K ≅ ∠N because they're corresponding angles in congruent triangles.

Step-by-step explanation: I took the test

please help me with this

Answers

Answer:

3 [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

3/4 + (1/3÷ 1/6 - (-1/2)=

3/4 + 2 - (-1/2)=

2 3/4 - (-1/2)=

3 1/4

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Is my answer correct?

Answers

Answer:

No

Step-by-step explanation:

It should be -8 degrees because 5x4=20 and 12-20=-8

Answer plz!
Which choices are equivalent to the quotient below? Check all that apply.

Answers

Answer:

A, C, and E are correct

Step-by-step explanation:

In the given triangle ABC, find DE. answers: 20 5 10 2.5

Answers

Answer:

5

Step-by-step explanation:

Let's call the length AD y.

[tex]\dfrac{x+2}{y}=\dfrac{8x-14}{2y} \\\\\\2(x+2)=8x-14 \\\\\\2x+4=8x-14 \\\\\\4=6x-14 \\\\\\6x=18 \\\\\\x=3 \\\\\\DE=x+2=3+2=5[/tex]

Hope this helps!

951/3 i dont under stand

Answers

Answer:

317 IS THE ANSWER

Step-by-step explanation:

The right answer is 317

please see the attached picture for full solution.

hope it helps

good luck on your assignment

Explain how the Quotient of Powers Property was used to simplify this expression.

three to the fourth power all over nine equals three squared

By simplifying 9 to 32 to make both powers base three and adding the exponents
By simplifying 9 to 32 to make both powers base three and subtracting the exponents
By finding the quotient of the bases to be one third and simplifying the expression
By finding the quotient of the bases to be one third and cancelling common factors

Answers

Answer:

The answer is option 2, by simplifying 9 to 3² to make both powers base 3 and subtracting the exponents.

Step-by-step explanation:

You have to make the expressions into the same base :

[tex] \frac{ {3}^{4} }{9} = \frac{ {3}^{4} }{ {3}^{2} } [/tex]

Next, you have to apply Indices Law :

[tex] {a}^{m} \div {a}^{n} \: ⇒ \: {a}^{m - n} [/tex]

[tex] {3}^{4} \div {3}^{2} [/tex]

[tex] = {3}^{4 - 2} [/tex]

[tex] = {3}^{2} [/tex]

By simplifying 9 to 3² to make both the powers base 3 as well as subtracting the exponents. A further explanation of the given question is below.

According to the question,

The equation will be:

→ [tex]\frac{(3)^4}{9} = \frac{(3)^4}{(3)^2}[/tex]

By applying the Indices law i.e.,

→ [tex]\frac{a^m}{a^n} = a^{m-n}[/tex]

then, we get

→ [tex]\frac{3^4}{3^2}[/tex]

→ [tex]3^{4-2}[/tex]

By subtracting the powers, we get

→ [tex]3^2[/tex]

Thus the above answer i.e., option B) is the correct approach.

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select the correct answer. witch is the correct simplified form of the expression ​

Answers

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

-1/3 -1/2 = -5/6

1/2-1/4 = 1/4

The negative makes the reciprocal

x^1/4/y^5/6

Why is sexual reproduction citical in the process of evolution

Answers

Answer:

sexual reproduction provides evolutionary advantages to organisms that employ this mechanism to produce offspring.

Step-by-step explanation:

Answer: it creates birth

Step-by-step explanation: can i have brainliest

What is the coefficient of the 2nd term of the following expression when written in standard form:
〖(7+4x)〗^3

Answers

Answer:

336

Step-by-step explanation:

Given the expansion: [tex](7+4x)^3[/tex]

[tex](7+4x)^3\\\\=(7+4x)^2*(7+4x)\\\\=(7+4x)(16x^2+56x+49)\\\\=7(16x^2+56x+49)+4x(16x^2+56x+49)\\\\=112x^2+392x+343+64x^3+224x^2+196x\\\\=64x^3+112x^2+224x^2+392x+196x+343\\\\=64x^3+336x^2+588x+343[/tex]

Therefore, the coefficient of the second term is 336.

Factor 4x2 - 16 using difference of two squares.

Answers

Answer:

4(x+2)(x-2)

Step-by-step explanation:

4x^2-16

4(x^2-4)

4(x+2)(x-2)

The difference of two squares formula is (a+b)(a-b), and it happens only when a^2 is minus b^2

So, 4x^2 − 16 = (2x + 4)(2x − 4).

Explanation:

4x2^ − 16 is of the form a^2 − b^2 (where a = 2x, b = 4), and as per the identity:

a^2 − b^2 = (a + b)(a − b)

So, 4x^2 − 16 = (2x + 4)(2x − 4)

Please help will mark brainliest ​

Answers

Answer:

Klm=(k+1)m -(m+1)k

Klm=km+m -mk-k

Klm=m-k

Which is a zero of the quadratic function f(x) = 9x2 - 54x – 19?
x= 1/3
x=3 1/3

Answers

Answer:

x =1/3

Step-by-step explanation:

the zero quadratic function is x=1/3

what is the inverse of the function y=4x+5

Answers

Answer:

the answer for this question is (y-5)/4=x

Check all restrictions on the domain of g circle h. x not-equals 0 x not-equals negative 2 x not-equals negative two-thirds There are no restrictions.

Answers

Answer: the answer is C

Step-by-step explanation:

Answer:

Step-by-step explanation:

x = -2/3

there are 50 cards in a pack and each card is either red or black
the ratio of the number of red cards to the number of black cards 1:1

10 black cards are removed from the pack

find the ratio of the number of red cards in the pack to the number of black cards in the pack
Give your answer in its simplest form


Please show your working out

Answers

Step-by-step explanation:

Ratio Red to Black is 1:1

Therefore, Red and Black has 25 cards respectively

If 10B cards are removed, then 25-10=15B cards left

Current ratio Red to Black is 25:15 and simplest form is 5:3

A ratio of 1:1 means there are the same number of red and black cards, so 25 of each. Take 10 black away and now there are still 25 red but only 15 black. The ratio is 25:15, which simplifies to 5:3 ( divide 25 and 15 by 5 because 5 is the greatest common factor of 25 and 15)

What’s the vertex of y=1/3(x+2)^2-5

Answers

Answer:

vertex is (2,-5)

Step-by-step explanation:

y = a(x – h)^2 + k

the  vertex is (h,k) in the equation h =2 and k = -5

-3x^2+6x+9=
WHY JUST WHY !!!! ?

Answers

Oh, my, goodness!!!!!! :)

You are cracking me up so much right now!!!!! :)

But, yeah, I hear ya! :)

Answer:

[tex]=-3\left(x+1\right)\left(x-3\right)[/tex]

Step-by-step explanation:

[tex]-3x^2+6x+9\\\mathrm{Factor\:out\:common\:term\:}-3:\quad -3\left(x^2-2x-3\right)\\-3x^2+6x+9\\\mathrm{Rewrite\:}9\mathrm{\:as\:}3\cdot \:3\\\mathrm{Rewrite\:}6\mathrm{\:as\:}3\cdot \:2\\=-3x^2+3\cdot \:2x+3\cdot \:3\\\mathrm{Factor\:out\:common\:term\:}-3\\=-3\left(x^2-2x-3\right)\\\mathrm{Factor}\:x^2-2x-3:\quad \left(x+1\right)\left(x-3\right)\\x^2-2x-3\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(x^2+x\right)+\left(-3x-3\right)[/tex]

[tex]\mathrm{Factor\:out\:}x\mathrm{\:from\:}x^2+x\mathrm{:\quad }x\left(x+1\right)\\x^2+x\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c\\x^2=xx\\=xx+x\\\mathrm{Factor\:out\:common\:term\:}x\\=x\left(x+1\right)\\\mathrm{Factor\:out\:}-3\mathrm{\:from\:}-3x-3\mathrm{:\quad }-3\left(x+1\right)\\-3x-3\\\mathrm{Factor\:out\:common\:term\:}-3\\=-3\left(x+1\right)\\=x\left(x+1\right)-3\left(x+1\right)\\\mathrm{Factor\:out\:common\:term\:}x+1\\=\left(x+1\right)\left(x-3\right)[/tex]

[tex]=-3\left(x+1\right)\left(x-3\right)[/tex]

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Answers

Answer:

x=-12

Step-by-step explanation:

(-22 + 3x) /( 3x+7) =2

Multiply each side of the equation by 3x+7

-22+3x = 2(3x+7)

Then distribute

-22 +3x = 6x+14

Subtract 3x from each side

-22 = 3x+14

Subtract 14 from each side

-36 = 3x

Divide by 3

-12 =x

The area of this parallelogram is 120 mm2. Find the value of x. 9 mm 12 mm 15 mm 6 mm

Answers

Answer:

[tex]x=12\:mm[/tex]

Step-by-step explanation:

[tex]A=bh[/tex]

[tex]b \times h=120[/tex]

[tex]b \times 10=120[/tex]

[tex]b=120 \div 10[/tex]

[tex]b=12[/tex]

Which of the following is(are) the solution(s) to 8|x-3|=-24
O A. All values are solutions
O B. x= 6,0
C. No Solution
O D. x = 3,0

Answers

The correct answer is c. There is no solution because there is no way to divide it and simplify.

Classify the following triangle based on its shape.

A. Right
B. Isosceles
C. Equilateral
D. Scalene

Please answer this

Answers

Answer:

A

Step-by-step explanation

the square in the corner

The shape of the given triangle is right angle.

The square in the corner

We have given that,

A. Right

B. Isosceles

C. Equilateral

D. Scalene

We have to determine the shape of the given triangle.

What is the right angle?

A right angle is an angle of exactly 90 degrees or \pi /2 radians corresponding to a quarter turn. If a ray is placed so that its endpoint is on a line and the adjacent angles are equal, then they are right angles.

The shape of the given triangle is right angle.

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Mrs. opsahl drove 399 miles on 14 gallons of gas.how many miles per gallon did her car get

Answers

28.5 miles per gallon

Answer:

28.5 miles per gallon

Step-by-step explanation:

399 divided by 14 gives you the number 28.5

Which equation describes the locus of points 5 units from points (3, -4)?
A) (x+3)^2 + (y-4)^2=5
B) (x-3)^2 + (y+4)^2=5
C) (x-3)^2 + (y+4)^2=25
D) (x+3)^2 + (y-4)^2=25
***YOU DON'T HAVE TO EXPLAIN***

Answers

Answer:

I think the D number is correct(squaring on both side)

For the following fraction ,tell whether you will add ,subtract, or multiply the exponents

Answers

Answer:

Add the exponents

Step-by-step explanation:

Product Rule: am ∙ an = am + n, this says that to multiply two exponents with the same base, you keep the base and add the powers.

EX:

x multiplied by  x^5=x^6

Answer:

We add them

But for negative values we always keep the negative value as a decrease.

4 x -4 as powers still becomes -8

and not -16

Step-by-step explanation:

The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents. In this example, you can see how it works. Adding the exponents is just a short cut! The "power rule" tells us that to raise a power to a power, just multiply the exponents.

2^4 x 3^-4 = 16/81 shows and proves we multiply them and just use adding as a short cut.

Kevin says these number lines show 7/8 is equivalent to 4/5. Is Kevin correct?

Answers

Yes, Kevin is correct

What is 5 2/3 divided by 3 1/9?? PLEASE HELP!!! D:

Answers

Answer:1 23/28

Step-by-step explanation:

17/3/3 1/9

17/3/28/9

51/28

1 23/28

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