9
Select the correct answer.
Which statement is true about this equation?
-9(x + 3) + 12 = -3(2x + 5) - 3x
OA
The equation has one solution, x= 1.
OB. The equation has one solution, x = 0.
OC. The equation has no solution.
OD
The equation has infinitely many solutions.
Reset
Next

Answers

Answer 1

Answer: D. The equation has infinitely many solutions.

Step-by-step explanation:

Given equation: [tex]-9(x + 3) + 12 = -3(2x + 5) - 3x[/tex]

[tex]\Rightarrow -9(x)+(-9)(3)+12=(-3)(2x)+(-3)(5)-3x\\\\\Rightarrow\ -9x-27+12=-6x-15-3x\\\\\Rightarrow\ -9x-15=-9x-15\\\\\Rightarrow\ -9x+9x=-15+15\\\\\Rightarrow\ 0=0[/tex]

which is true.

This happens when all numbers are solutions.

i.e. The equation has infinitely many solutions.

Correct option : D.


Related Questions

Can someone help me with this?

Answers

Answer:

A=10 cm

B=5 cm

Area of square = 25 cm

Step-by-step explanation:

Since that is an equilateral triangle based off the fact that all the sides are the same variable (a) then that means 30 divided by 3 which equals 10. So now we know that a = 10. Lets input that information for the rectangle. Since there are 2 a's that equals 20 and the perimeter is 30 so b has to be 5 since 5 times 2 is 10 plus 20 equals 30. so now we know that a=10 and b=5 so our squares sides are all 5. The area of the square is 25

is 369/100 greater than 849/100

Answers

9514 1404 393

Answer:

  no

Step-by-step explanation:

When fractions have the same denominator, you can compare the numerators.

  369 < 849

369/100 is not greater than 849/100

__

Here, you can convert these to decimal numbers and do the comparison in the usual way:

  3.69 < 8.49

The most-significant digits are in the same number place (units), and they are different. The number with the smaller most-significant digit is smaller.

Answer:

no

Step-by-step explanation:

369/100=3.69

849/100=8.49

3.69<8.49

An AutoCAD drawing has a scale of 3/4 inches to 2 ft. If a piece of a bridge measures 15 feet, how long is that piece in the AutoCAD printout?


11.25 inches

5.625 inches

22.5 inche

51 inches
Please I really need this for tonight

Answers

The answer is B) 5.625 inches

Answer:

B) 5.625 inches

Step-by-step explanation:

How are the hypotenuse and legs of a right triangle related?

Answers

Answer:

The sum of the legs is equal to the hypotenuse.

Step-by-step explanation:

I hope that this helps u..

Answer:

The relation between the sides and angles of a right triangle is the basis for trigonometry. The side opposite the right angle is called the hypotenuse (side c in the figure). The sides and the adjacent to the right angle are called legs (or catheti, singular: cathetus).

Emily bought 12 oranges from store to make orange juice. The total cost was $15. How much did each orange cost?

Answers

Answer: 1.25

Step-by-step explanation:

hope this helps !!

The inverse of F(x) is a function.

Answers

Answer:

Step-by-step explanation:

the word inverse refers to the opposite of another operation.

The inverse of the function f is denoted by f -1.

If you found my answer useful then mark me brainliest.

slope of the line (-3,-6) and (4,1)

Answers

Answer:

- 5 / 7

Step-by-step explanation:

1 - 6 = - 5

4 - - 3 = 7

Fu times Amusement Park charges a $7 admission fee plus $1.75 per ride.

Julie goes to the amusement Park with $12.25. How many rides can she go?

1. 7

2. 3

3. 86

4. 2​

Answers

Answer:

3 rides

Step-by-step explanation:

12.25 minus 7 equals 5.25.

5.25 divided by 1.75 equals 3 rides.

In conclusion it is 3 rides or option two.

4. Calculate the expected value for the spinner at right?
(3pts)
8
1200
24
6

Answers

Answer: The expected value is 12.44

Step-by-step explanation:

The expected value can be calculated as:

EV = ∑xₙ*pₙ

Where xₙ is the n-th outcome. For the case of the spinner we have 3 possible outcomes:

x₁ = 8

x₂ = 6

x₃ = 24

And pₙ is the probability of the n-th event.

For the case of the spinner, the probability of each section will be equal to the quotient between the degrees of each arc, and the total number of degrees in a circle (360°).

First, we can see that for outcome = 8, the angle is a right angle, then it is equal to 90°, then the probability of this event will be:

p₁ = 90°/360° = 0.25

For outcome = 24, we have an angle of 120°, then the probability for this event is:

p₃ = (120°/360°) = 0.33

And the angle for the third arc must be such that:

90° + 120° + A = 360°

then:

A = 360° - 90° - 120° = 150°

Then the probability for the outcome = 6 is:

p₂ = (150°/360°) = 0.42

Now we can find the expected value as:

EV = (8*0.25 + 6*0.42 + 24*0.33) = 12.44

Write the expression below as a product of two factors 6m +8n + 4

Answers

Answer: 2(3m+4n+2) is the answer

Explanation: because I’m smort;)

Create a function that has two distinct roots: - 3/4 and -1?

Answers

Step-by-step explanation:

Sorry I cant get any more answers but I really hope that this helps

Answer:

(x+3/4)(x+1)

Step-by-step explanation:

you can learn this in algebra 2

plz brainliest!

Reflection over the x axis ;vertical shift down 7 units

Answers

I need a picture to find the answer

Which could be the name of a plane?

A. JK
B. M (kinda cursive)
C. h
D. GH

Answers

Answer:

gh i think im not sure but that might be right i hope

Answer:

jk

Step-by-step explanation:

para jungkook de jk lang

Part A
The data in the line plots show the number of hours volunteers work each week for two different organizations. Find the measures of center and variability of the two sets of data.

Part B
What conclusions can you draw from the two sets of data? Select all that apply
A. Volunteers in organization B spend more time volunteering than volunteers in organization A
B. The median of organization A's data and organization B's data is the same
C. The range of organization B's data is greater than the range of organization A's data
D. The mean and the median of organization A's data are the same
E. The mean and the median of organization B's data are the same

Answers

Answer:

line plots do you mean number line, cos no pic is attached

solve for c

c+d=15

3c+2d=36

Need help RIGHT NOW will mark brainliest

Answers

Multiply the top by -2 and just cross elimination the rest. Hope this helps.

PLS HELP. Find the value of each variable.

Answers

6. x=100

7.x=75

8.x=30

10.x=112

11.x=58 y=58

Answer:

6) x = 70°

7) x = 75°

8) x = 30°

10) x = 112°

11) x = 58° , y = 58°

Step-by-step explanation:

6) two congruent sides means two congruent angles

   x + x + 40 = 180         2x = 140

7) two congruent sides means two congruent angles

   both base angles measure 75 degrees

8) isosceles triangle (has two equal sides)   75(2) + x = 180    150 + x = 180

10)  two congruent angles means two congruent sides

      44 + 2n = 180      2n = 136      n = 68

      angles n and x form a linear pair and equal 180

      180 - 68 = 112

11) isosceles triangle so ∡x = ∡y   64 + x + x = 180

   64 + 2x = 180      2x = 116        x = 58

Mikhael wanted to rewrite the conversion factor "1 yard ≈ 0.914 meter" to create a conversion factor to convert meters to yards. Complete the explanation to tell how Mikhael should finish his conversion. If necessary, round to three decimal places.


(select)
1 yard by 0.914 m gives the rate of yards per meter. So 1 meter ≈
yards.
plz need help

Answers

Answer:

[tex]1\ meter = 1.094\ yard[/tex]

Step-by-step explanation:

Given

[tex]1\ yard = 0.914\ meter[/tex]

Required

Create a convert meter to yard expression

[tex]1\ yard = 0.914\ meter[/tex]

Divide both sides by 0.914

[tex]\frac{1\ yard}{0.914} = \frac{0.914\ meter}{0.914}[/tex]

[tex]\frac{1\ yard}{0.914} = 1\ meter[/tex]

[tex]1.09409190372\ yard = 1\ meter[/tex]

[tex]1\ meter = 1.09409190372\ yard[/tex]

[tex]1\ meter = 1.094\ yard[/tex] --- approximated

Answer:

Step-by-step explanation:

Which graph is the graph of y-2=4(x+5)

Answers

Answer:

The answer is C

Answer:

A

Step-by-step explanation:

y=4(x+5)+2

y=4x+20+2

y=4x+22

The Y-intercept is going to be 22, so we can already eliminate D and C. and so the difference between A and B is that B is a negative line and A is not. And since the slope is not negative in the equation, B cannot be the answer, so A is the answer.

One side of a triangle is 3 times the second side. The third side is 17 feet longer than the second side. The perimeter of a
triangle is 52 feet. Find the length of each side.
Provide your answer below:

Answers

Answer:

Step-by-step explanation:

lets have one side =a

P=3a+a+(17+a)=52

P=5a+17=52

5a=52-17

5a=35

a=7

second side=21

third side=24

what is 1/2 x 60 and what is 3/10 x 1,000​

Answers

1/2 x 60 = 30                                                           3/10 x 1000 = 300

cancel the common factor of 2                          simpplify the expression

Answer:

1/2 x 60= 30 and 3/10 x 1,000= 3,000

Step-by-step explanation:

Write an equation in slope intercept form of the line that passes through the given points (-3, 3) and (1,2) HELP

Answers

Answer:

The answer is [tex]y = - \frac{1}{4} x + \frac{9}{4} [/tex]

Step-by-step explanation:

❃Incase you forgot what the slope-intercept formula is ☟

[tex]y = mx + b[/tex]

❃Incase you also forgot, what the slope formula is ☟

[tex]m =  \frac{y_2 - y_1}{x_2 - x_1} [/tex]

☆ First: We are going to be solving for the slope.

[tex]m =  \frac{2- 3}{1 - ( - 3)} = \frac{ - 1}{4} = - \frac{1}{4} [/tex]

☆Second: We are going to find the y-intercept.

[tex]y = mx + b \\ 3 = - \frac{1}{4} ( - 3) + b \\ 3 = \frac{3}{4} + b \\ \frac{ - \frac{3}{4} = - \frac{3}{4} \: \: \: \: \: \: \: \: \: \: \: }{ \frac{ 9}{4} = b \: \: \: \: \: \: \: \: } [/tex]

☆Third: Plug in.

[tex]y = - \frac{1}{4} x + \frac{9}{4} [/tex]

A state's Department of Education reports that 12% of the high school students in that state attend private high schools. The State University wonders if the percentage is the same in their applicant pool. Admissions officers plan to check a random sample of the over 10,000 applications on file to estimate the percentage of students applying for admission who attend private schools.
a) They select a random sample of 500 applications, and find that 46 of those students attend private schools. Check the conditions required for inference. (3 marks)
b) Create the 90% confidence interval. (6 marks)
c) Interpret the confidence interval in the context of the problem. (3 marks)
d) Should the admissions officers conclude that the percentage of private school students in their applicant pool is lower than the statewide enrollment rate of 12%? Explain. (2 marks)

Answers

Answer:

a)  p*n =  46     and  q*n  =  454 data is enough for inference

b) CI =  (   0,099 ;  0,141)

c) CI we will find with 90% of confidence the value of p in that interval

d) No, we accept H₀  we don´t have evidence to claim that the percentage in the State University is smaller than that of the Department of Education

Step-by-step explanation:

Information from A state´s Department of Education is:

p₀  =  12 %    p₀ = 0,12

The State University sample:

Sample size   n  = 500

Sample proportion   46   out of 500      

p  =  46/500     p =  0,092     then    q =  1- p   q  =  1 - 0,092    q = 0,908

Both    p*n =  46     and  q*n  =  454

a) Are big enough to approximate the binomial distribution to normal distribution

b) CI = 90%   CI = 0,9     significance level  α = 0,10  for an CI we need

α/2   =  0,10/2      α/2 = 0,05

z(c)  =  - 1,64     ( from  z-table)

MOE  =  z(c)*√(p*q)/n

MOE  =   1,64 * √ ( 0,092*0,908)/500

MOE  =  1,64 *√0,08353/500

MOE  =  1,64 * 0,0129

MOE  = 0,021

Then  CI = 90 % is:

CI  =  (  0,12 -  0,021   <  P  <  0,12 + 0,021 )

CI =  (   0,099 ;  0,141)

We have with 90 % of confidence for finding the value of p in the interval

Test Hypothesis

Null Hypothesis                        H₀             p  =  p₀

Alternative Hypothesis            Hₐ             p < p₀

we have  for  α = 0,1     z(c)  =  - 2,32  from z table

And  z(s)  = ( p  -  p₀  ) /  √ (p*q)/n

z(s)  = ( 0,092 - 0,12 ) / √(0,092*0,908)/500

z(s)  =  - 0,028 / 0,0129

z(s)  =  - 2,17

Comparing  z(s)  and  z(c)  we see that

|z(s)| < |z(c)|

So  z(s) is in the acceptance region. We can support the claim that the percentage in the State University is the same than that of the Departament of Education

(1,10), (18.-10) slope

Answers

Answer:

I think the slope is -20/17 hope this helps

What is the equation of the parabola, in vertex form, with focus at (2,-4) and directrix y=-6?

A. (X-2)^2 = 4(y+5)
B. (Y+4)^2 = 4(x-2)
C. (X+2)^2 = 1/4(y+4)
D. (X-2)^2 = -1/4(y+5)

Answers

Answer:

A. (X-2)^2 = 4(y+5)

Step-by-step explanation:

Equation of parabola: (x-2)² = 4(y+5)

Thus option A is correct.

Given:

Focus at (2, -4) and a Directrix of y = -6

Here,

Let us suppose that there is a point (x, y) on the parabola.

Its distance from the focus point (2, 4) is √(x - 2)² + (y + 4)²

Its distance from directrix y = -6 is |y + 6|

Therefore, the equation will be:

√(x - 2)² + (y + 4)² = |y + 6|

Squaring on both the sides,

(x - 2)² + (y + 4)² = (y + 6)²

x² - 4x + 4 + y² + 8y + 16 = y² + 12y + 36

(x-2)² = 4(y+5)

Therefore option A is correct.

Know more about parabola,

https://brainly.com/question/29203572

#SPJ4

Need help #3. The answer is shown, but I don’t know how to get to the answer. Please teach and show steps.

Answers

Answer:

A

Step-by-step explanation:

We are given a right triangle with a base of x feet and a height of h feet, where x is constant and h changes with respect to time t.

The angle in radians is defined by:

[tex]\displaystyle \tan(\theta)=\frac{h}{x}[/tex]

And we want to find the relationship that describes dθ/dt and dh/dt.

So, we will differentiate both sides with respect to t where x is a constant:

[tex]\displaystyle \frac{d}{dt}[\tan(\theta)]=\frac{d}{dt}\Big[\frac{h}{x}\Big][/tex]

Differentiate. Apply the chain rule on the left. Again, remember that x is just a constant, so we can move it outside the derivative operator. Therefore:

[tex]\displaystyle \sec^2(\theta)\frac{d\theta}{dt}=\frac{1}{x}\frac{dh}{dt}[/tex]

Since we know that tan(θ)=h/x, h is the opposite side of our triangle and x is the adjacent. Therefore, by the Pythagorean Theorem, our hypotenuse will be:

[tex]\text{Hypotenuse}=\sqrt{h^2+x^2}[/tex]

Since secant is the ratio of the hypotenuse to adjacent:

[tex]\displaystyle \sec(\theta)=\frac{\sqrt{h^2+x^2}}{x}[/tex]

So:

[tex]\displaystyle \sec^2(\theta)=\frac{x^2+h^2}{x^2}[/tex]

By substitution, we have:

[tex]\displaystyle \Big(\frac{x^2+h^2}{x^2}\Big)\frac{d\theta}{dt}=\frac{1}{x}\frac{dh}{dt}[/tex]

By multiplying both sides by the reciprocal of the term on the left:

[tex]\displaystyle \frac{d\theta}{dt}=\frac{1}{x}\Big(\frac{x^2}{x^2+h^2}\Big)\frac{dh}{dt}[/tex]

Therefore:

[tex]\displaystyle \frac{d\theta}{dt}=\frac{x}{x^2+h^2}\frac{dh}{dt}[/tex]

Our answer is A.

helpppp PLZZZZZZZZZ
thx will appreciate that

Answers

Answer:

I think you multiply its height by its width for the area, the volume= LXWXH.

Step-by-step explanation:

Step-by-step explanation:

First , Split the given shape into two parts : Trapezium and rectangle :

Here , 18 m and 11 m are the opposite parallel side and (15-8) = 7m is the height of the trapezium.

[tex] \boxed{ \sf{Area \: of \: trapezium = \frac{1}{2} h(a + b)}}[/tex]

⤑ [tex] \tt{ \frac{1}{2} \times 7(18 + 11})[/tex]

⤑ [tex] \sf{ \frac{1}{2} \times 7 \times 29}[/tex]

⤑ [tex] \sf{101.5 \: {m}}^{2} [/tex]

Area of trapezium = 101.5 m²

In rectangle , 18 m is the length and 8 m is the width.

[tex] \boxed{ \sf{Area \: of \: a \: rectangle = l \times w}}[/tex]

⤑ [tex] \sf{18 \: m \: \times 8 \: m}[/tex]

⤑ [tex] \sf{144 \: {m}}^{2} [/tex]

Area of a rectangle = 144 m

Now , Finding total area of given shape :

[tex] \boxed{ \sf{Total \: area = Area \: of \: trapezium + area \: of \: a \: rectangle}}[/tex]

⤑ [tex] \sf{101.5 \: {m}^{2} + 144 \: {m}}^{2} [/tex]

⤑ [tex] \sf{245.5 {m}}^{2} [/tex]

[tex] \red{ \boxed{ \boxed{ \tt{⇾ \: Our \: final \: answer : \boxed{ \underline{ \tt{245.5 \: {m}^{2} }}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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Can someone help me with this question?

Answers

Answer:it is A

Step-by-step explanation:

It is A

Hope it helps

Simplify:-8у – (х- 4x) +3y

Answers

Answer:

=3x−5y

Step-by-step explanation:

Answer: =3x−5y

Step-by-step explanation:

John is going to invest in an account paying an interest rate of 3.8% compounded
daily. How much would John need to invest, to the nearest hundred dollars, for the
value of the account to reach $1,880 in 20 years?

Answers

Answer:

900

Step-by-step explanation:

Answer:

900

Step-by-step explanation:

a person runs around a square field of side 70m, while another person runs around a rectangular field with length 90m and breadth 60m. Who covers more distance by how much?

Answers

[tex]\huge\underbrace\red{Answer}[/tex]

Given :-

Side of the square field = 70m

Length of the rectangular field = 90m

Breadth of the rectangular field = 60m

To Find :-

Perimeter of the square field

Perimeter of the rectangular field

Solution :-

Perimeter of the square = 4 × side

By substituting values,

⇒ 4 × 70m

➥ 280m

Hence, A Person runs 280m around a Square field

Perimeter of the rectangle = 2( length + Breadth)

By substituting values,

⇒ 2( 90m + 60m )

⇒ 2( 150m)

➥ 300m

Hence, A Person runs 300m around a rectangular field

Difference between perimeters of fields = Perimeter of Rectangular field - perimeter of square field

By substituting values,

⇒ 300m - 280m

➠ 20m

Hence, The person runs more around a rectangular field by 20m
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Francis surveyed a random sample of 70 students at Franklin High School about their favorite season. Of the students surveyed, 18 chose fall as their favorite season. There are 181618161816 students at Franklin High School.Based on the data, what is the most reasonable estimate for the number of students at Franklin High School whose favorite season is fall? Which of the following was made of 11 titles andenforced laws against segregation?A. Letter from a Birmingham JailB. Texas v. HernandezC. Brown vs. Board of EducationD. The Civil Rights Act of 1964 1. What is the elevation of point "C"? A. 170 mB. 160 mC. 130 mD. 20 mE. 50 m2. Which side is steeper?A. NorthB. EastC. West3. What is happening between points "F" and "D"?A. going uphillB. going downhill What do you think the quote means? Write 2-4 sentences Quote of the Week: The actions of men are the best interpreters of their thoughts.-John Locke Solve each system by elimination8/11y+3/11=-x -21=56y+77x Solve each of the following problems to 3 sig figs and correct Sl units, showing all work.1. A cart with a mass of 45.0 kg is being pulled to the right with a force of 250 N giving it anacceleration of 1.30 m/s2. The wheels of the cart are locked and the cart must be dragged.a) Draw a free body diagram of the cart.b) Calculate the net force acting on the cart.c) Create a force table and fill it in.d) Find the coefficient of kinetic friction. Pls help me jut click the picture on top and can see it clearly . what does it mean to be overthrown in a millitary coup need help on this Spanish test and i have to get a 100 so please help!!! pt.1 Describe an example of a very poorly implemented database that you've encountered (or read about) that illustrates the potential for really messing things up. Include, in your description, an analysis of what might have caused the problems and potential solutions to them. Be sure to provide citations from the literature. Question: If you put the federal government in charge of the Sahara Desert, in five years, there would be a shortage of sand. Milton FriedmanWhat does the quote say? Write at least 3 paragraphs. NEED HELP ASAP ITS DUE TOMORROW!!! Help (will give crown for answer) Completa el espacio en blanco con la mejor respuesta.El acusado tiene que _____ frente al jurado.creerayudartestificaratacar I NEED HELP AND ONLY ANSWER IF YOU KNOW IT?? math Was is the slope intercept form and linear equation of the equation provided?6=6(4)+5 7(5a 4) = 14 8a + 1 Need help with explicit rule. Please help. Why do you think Mrs. Debroy shared the Feather story with the students? Canals transport water from the rivers and lakes to __________ the farmland.A.containB.developC.irrigateD.convertPlease select the best answer from the choices providedABCD Please solve thank you if so PLEASE HELP URGENT!!An irregular polygon is shown below:A: 21 Square InchesB: 22 Square InchesC: 26 Square InchesD: 29 Square Inches