Determine whether the equation has one solution, no solution, or infinite solutions.
Explain your reasoning.
9x + 2 = -4(x + 6)

Answers

Answer 1

Answer:

The equation has 1 solution.

Step-by-step explanation:

Because you don't get the same answer on both sides, this equation does not have infinately many solutions. Because you don't get an invalid answer, such as 1 = 0, this equation doesn't have one solution. When you solve this equation, you'd get something similar to this

9x-2 = -4x-24 (distributive property)

13x-2=-24 (combine like terms)

13x=-22 (additive property of inversion)

x = -22/13

which is a valid, real-world solution.


Related Questions

A lacrosse player throws a ball into the air from a height of 8 feet with an initial vertical
velocity of 32 feet per second. What is the maximum height of the ball? When will the ball hit the ground?

Answers

Answer:

256

Step-by-step explanation:

Read the answer carefully and then you'll know hey i need to multiply 8 times 32.

And what do you get...... 256

Modeling the situation with a quadratic equation, it is found that:

The maximum height of the ball is of 60.2 feet.The ball hits the ground after 3.39 seconds.

Considering the gravity, the height of the ball, after t seconds, is given by the following quadratic equation.

[tex]h(t) = -4.9t^2 + v_0t + h_0[/tex]

In which:

[tex]v_0[/tex] is the initial velocity.[tex]h_0[/tex] is the initial height.

In this problem:

Height of 8 feet, thus [tex]h_0 = 8[/tex].Initial velocity of 32 feet per second, [tex]v_0 = 32[/tex]

The equation is:

[tex]h(t) = -4.9t^2 + 32t + 8[/tex]

Which is a quadratic equation with [tex]a = -4.9, b = 32, c = 8[/tex].

The maximum height is the output of the vertex, which is:

[tex]h_{MAX} = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}[/tex]

Then, with the coefficients of this question:

[tex]h_{MAX} = -\frac{32^2 - 4(-4.9)(8)}{4(-4.9)} = 60.2[/tex]

The maximum height of the ball is of 60.2 feet.

It hits the ground at t for which [tex]h(t) = 0[/tex], thus:

[tex]\Delta = b^2 - 4ac = 32^2 - 4(-4.9)(8) = 1180.8[/tex]

[tex]t_{1} = \frac{-32 + \sqrt{1180.8}}{2(-4.9)} = -0.12[/tex]

[tex]t_{2} = \frac{-32 - \sqrt{1180.8}}{2(-4.9)} = 3.39[/tex]

We want the positive value, so:

The ball hits the ground after 3.39 seconds.

A similar problem is given at https://brainly.com/question/24626341

so ive been ground for 3 months for a low grade in math what should I do to get un grounded

Answers

Answer:

score a high  grade in another subject

Step-by-step explanation:

Answer:

AAA

Step-by-step explanation:

start filling out math and putting unnecary notes

Please help! I don't understand. view photo.​

Answers

Answer:

Step-by-step explanation:

they are asking about the exponential

b/c it has a 3 in the exponent, it's a cubic   and because it has two terms you can call it a binomial

Find X. This is a 40°, 40°, 90° triangle.

Answers

Answer:

In a 45°−45°−90° triangle, the length of the hypotenuse is √2 times the length of a leg. To see why this is so, note that by the Converse of the Pythagorean Theorem , these values make the triangle a right triangle. Note that an isosceles right triangle must be a 45°−45°−90° triangle.

Step-by-step explanation:

Solve for x. 2x−5=−x+7

Answers

Answer:

x = 4

Step-by-step explanation

2x−5+x=−x+7+x

3x−5=7

3x−5+5=7+5

3x=12

x=4

Answer:

x = 4

Step-by-step explanation:

You need to isolate the variable on one side first so that the equation is easier to solve.  To do that, add x to both sides to get 2x + x, which is 3x.  This gets rid of the -x on the other side and results with the new equation

3x - 5 = 7.   Add 5 to both sides to get 3x = 12, then divide both sides by 3 to get x = 4.  

You can check your work by plugging in 4 for x.  

2(4) - 5 = -(4) + 7

8 - 5 = 3

3 = 3

Therefore, x is equal to 4.  

Hope this helped!  Have a good day!  

please view math question and help!!​

Answers

The second one Exponential

What is the reflected across y-axis and reflected across x-axis for (-2, 6)​

Answers

across the y axis it will be (2, 6)

if reflected across x axis it will be (-2, -6)

Find a polynomial f(x) of degree 4 that has the following zeros. 0, -4, 6, -8

Answers

Answer: -10 I think

Step-by-step explanation:

Which equation can be used to solve for b?

Answers

Answer:

tan(30)=5/b

Step-by-step explanation:

Answer:

a^2 + b^2 = c^2

Step-by-step explanation:

[tex]21\geq 12+x[/tex]

Answers

Answer : Inequality form : x <_ 9

Interval Notation: ( - ∞, 9)

A tunnel is in the shape of a parabola.if the tunnel is 40 feet wide and has a maximum height of 12 feet. write the equation of the quadratic function that represents the tunnel(let the axis of symmetry be the y-axis)​

Answers

9514 1404 393

Answer:

  y = -0.03x² +12

Step-by-step explanation:

For "tunnel" or "arch" or "bridge" problems, I like to start with the expression ...

  y = 1 - x²

It has a height of 1 and intersects the x-axis at ±1. This can be scaled to give the appropriate height and x-intercepts.

We want the x-intercepts to be ±20, so we can scale this horizontally by a factor of 20:

  y = 1 -(x/20)²

We want the height to be 12, so we can scale it vertically by a factor of 12:

  y = 12(1 -(x/20)²

  y = 12 -12(x²/400)

  y = -0.03x² +12

help please and thank you
!!

Answers

Answer:

f(x) = 2ˣ + 1

Step-by-step explanation:

Based on the exponential increase, you know that it will be an exponential equation, meaning that you can cancel out the first two options.

The easiest way to do pick the between the two remaining equations is by plugging in an x-value and seeing if the y-value for that equation matches the y-value from the equation.

For (3, 9):

f(x)  =  3ˣ  =  3³  =  27

f(x)  =  2ˣ + 1  =  2³ + 1  =  8 + 1  =  9

The last equation is the equation that is represented by the table.

Look below giving brainliest

Answers

Answer:

15

Step-by-step explanation:

I think it's 15....yeah

Determine the measure of angle A

Answers

Step-by-step explanation:

3x+18=4x+2

x= 16

measure of <A = 66°

A repairman leans the top of an 26 foot ladder against the
top of a stone wall. The base of the ladder is 4.7 feet from
the wall. How tall is the wall? (Use Pythagorean Theorem:
a² + b2= c2)

Answers

Answer:

653.91 squared or 326.955 not squared

Step-by-step explanation:

We have a hyponuse of 26 and one leg of 4.7 and we are trying to figure out the missing leg!

The first step is

A^2 + B^2 = C^2

2 step

4.7^2 + B^2 = 26^2

3 step

4.7 x 4.7 =  22.09  and 26 x 26 = 676

4 step

22.09 + B^2 = 676

5 step

676 - 22.09 = 653.91

6 step

Answer

653.91 squared or 326.955 not squared!

hope this helps

In ΔUVW, the measure of ∠W=90°, the measure of ∠U=19°, and WU = 85 feet. Find the length of VW to the nearest tenth of a foot.

Answers

Answer:

29.3feet

Step-by-step explanation:

In ΔUVW, the measure of ∠W=90°, the measure of ∠U=19°, and WU = 85 feet. Find the length of VW to the nearest tenth of a foot.

From the triangle given

<W = 90 degrees

<U = 19 degrees

<V = 180 - (90+19)

<V = 180 - 109

<V = 71 degrees

Using SOH CAH TOA

tan theta = opp/adj

tan <V = WU/VW

tan 71 = 85/VW

VW = 85/tan 71

VW = 85/2.9042

VW = 29.27

Hence the length of VW to the tenth of a foot is 29.3feet

29.3 is in fact the correct answer

If l m, identify the angle pair as congruent or supplementary. Justify your reasoning by classifying the angle pair

Answers

Answer:

Not them Still deleting answers

Step-by-step explanation:

What is the area of this parallelogram?


4.9 cm²

12.25 cm²

17.15 cm²

24.01 cm²

PLS HELP!! I WILL GIVE BRAINLYIST

Answers

Answer:

The answer is 17.15! Brainliest pls :D

Answer:

C, 17.15

Step-by-step explanation:

4.9*3.5 = 17.15

Which graph represents the solution set of this inequality? 11q +5 ≤ 49

Answers

Answer:

We need to isolate q on one side. 11q+5 <_ 49 Start subtracting 5 from both sides. 11q+5-5 <_ 49 -5 11q < 44 The answer will be B. q < 4.

Step-by-step explanation:

Answer:

the answer is B

Step-by-step explanation:

khan

Find the value of x. (Round to the nearest tenth as needed.)​

Answers

Answer:

Hope that answers your question

HELPP! BRAINLIEST AND 10 POINTS !!

what is the height of this triangle?

A. 2 units
B. 3 square units
C. 3 units
D. cant be determined

Answers

Answer:

I think it's 3 units so you got that right

Answer:

its the first one

Step-by-step explanation:

GEOMETRY. Need help i will give brainliest

Answers

Answer:

x = 10

Step-by-step explanation:

If two tangent segments are drawn to a circle from an external point, then those segments are congruent.

x+11 = 2x+ 1

x = 10

Answer:

x=10

Step-by-step explanation:

x+11=2x+1

x+10=2x

10=2x-x

x=10

Brillianst!!!!!

What is the vertex of the parabola y=(x+3)+9?
(3,9)
O (-3,-9)
O (3,9)

Answers

The answer is C. (-3,9)

Hana writes the equation y=5.5x+11 if she buys 8 books what is the amount spent if she buys 8 books.

Answers

55$ because x is the amount of books so plug it in 5.5(8)+11= 55

one hundred and sixty-two thousandths as a decimal​

Answers

Answer:

0.0162

Step-by-step explanation:

Cause it is

Answer:

0.162

Step-by-step explanation:

one hundred and sixty-two thousandths

162/1000 = 0.162


How much did movies A and D combined make that week?

Answers

5 combined that week
5 compounded that week

HELP THIS BS IS DUE IN 20 MINS!!!!!!!

Answers

Answer: 5.5

Step-by-step explanation:

If each sandwich is $5.5 then the slope must be y=5.5x

mhanifa or someone else can you PLZ answer this

Answers

Answer:

[tex] \frac{7 {n}^{2} - 41n + 8 }{ {n}^{2} - 1 } [/tex]

Step-by-step explanation:

[tex] \frac{7n}{n + 1} + \frac{8}{n - 7} \\ \\ = \frac{7n(n - 7) + 8(n + 1)}{(n + 1)(n - 1)} \\ \\ = \frac{7 {n}^{2} - 49n + 8n + 8 }{ {n}^{2} - 1 } \\ \\ = \frac{7 {n}^{2} - 41n + 8 }{ {n}^{2} - 1 } [/tex]

Answer:

Simplified:

[tex]\frac{7n}{n + 1} + \frac{8}{n - 7}[/tex]   =[tex]\frac{7n(n - 7) + 8(n + 1)}{(n + 1)(n - 7)}[/tex]   =[tex]\frac{7n^2 - 49n + 8n + 8}{n^2 + n - 7n - 7}[/tex]   =[tex]\frac{7n^2 - 41n + 8}{n^2 - 6n - 7}[/tex]

This can be further simplified if required

[tex]\frac{7n^2 - 42n -49 + n + 57}{n^2 - 6n - 7}[/tex] =[tex]7 + \frac{n + 57}{n^2 - 6n - 7}[/tex]

David weeds lawns in his neighborhood to earn money to buy video games. For each lawn, he charges $5.50. If he weeds 4 lawns on Saturday, how much money will he earn?

Answers

Answer:

$51.75

Step-by-step explanation:

Answer:

$22

Step-by-step explanation:

4 * 5.50 = 22

-2/7 ÷ (-8/21) step by step answer

please this homework is due today its benchmark practice and i have to sleep like in 10 or 7 min like no joke​

Answers

Answer:

1.3

Step-by-step explanation:

first, divide the parentheses:-8/21= -0.380952

second, dived -2/7= -0.285714

now divide both of them   -0.380952 ÷ -0.285714 = 1.3

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