Find the value of x. Round your answer to the nearest tenth.

Answer:

B

Step-by-step explanation:

3t+6=9 or -9
1. 3t+6=9

3t=9-6=3

t=3/3-=1

2. 3t+6=-9

3t=-9-6=-15

t=-15/3=-5

t=1, -5

Answer:

B {-5, 1}

Step-by-step explanation:

Separate into possible cases

3t + 6 = 9

3t + 6 = -9

Solve the equations

t = 1

3t + 6 = -9

The equation has 2 solutions

t = -5

t = 1

3 inches = 225 miles

1 inch = 225/3 miles

1 inch = 75 miles

Answer:

it is a

Step-by-step explanation:

I might not know but I guess the answer is D

You can use the definition for the vertex form of a quadratic equation and then can can do conversion of that quadratic equation in that form.

The correct vertex form of the given equation is given by

Option C: [tex]h(x) = (x-5)^2 - 18[/tex]

If a quadratic equation is written in the form

[tex]y = a(x-h)^2 + k[/tex]

then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)

This point is called the vertex of the parabola that quadratic equation represents.

We first take out coefficient of x squared, and then inside the bracket, we try to make perfect square like situation.

The given equation is [tex]h(x) = 7 + 10x + x^2\\[/tex]

Converting it in vertex form, we get:

[tex]h(x) = 7 + 10x + x^2\\\\\\h(x) = x^2 + 10x + 7\\h(x) = x^2 + 10x + 25 -25 + 7\\h(x) = (x+5)^2 - 18 \text{\: (Note how the form} \: a^2 + b^2 + 2ab = (a+b)^2 \:\rm got\: made)[/tex]

Thus, we have h = -5 and k = -18

The plot of the given equation is attached below.

Thus,

The correct vertex form of the given equation is given by

Option C: [tex]h(x) = (x-5)^2 - 18[/tex]

Learn more about vertex form of quadratic equations here:
https://brainly.com/question/9912128

Answer:

c

Step-by-step explanation:

Answer:  $1.73

=======================================

Explanation:

The simple interest formula is

i = P*r*t

that calculates the interest only

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

Let's calculate how much interest Lin will pay back if she goes with the 7 year loan at 4.5% simple interest rate.

i = P*r*t

i = 575*0.045*7

i = 181.125

i = 181.13

Repeat for the other loan (8 years, 3.9% simple interest)

i = P*r*t

i = 575*0.039*8

i = 179.40

Subtract the results

181.13 - 179.40 = 1.73

She saves $1.73 if she goes with the second loan.

Answer:

x=20

Step-by-step explanation:

The lines on the top and bottom are shown to be parallel and the line in between is a transversal. This means that the same side interior theorem applies. The same side interior theorem states that 2 angles on the same side of a transversal, inside 2 parallel lines will sum 180 degrees.

So, to solve, add the expressions together and set them equal to 180.

80+(4x+20)= 180

4x+100=180

4x=80

x=20

Answer:

I will need a picture. Then I will try to answer.

Step-by-step explanation:

Answer:

there would be 12 in each group or you could do 6 groups with 12 in them

Step-by-step explanation:

s = side of square

l = length of rectangle = s + 3 cm

w = width of rectangle = s - 2 cm

s² + 30 = (s + 3)(s - 2) = s² + - 2s + 3s - 6 = s² + s - 6

30 = s - 6

s = 36 cm

Answer:

Stratified Sampling

Step-by-step explanation:

Stratified sampling involves dividing the population into subpopulations that may differ in important ways. It allows you draw more precise conclusions by ensuring that every subgroup is properly represented in the sample.

To use this sampling method, you divide the population into subgroups (called strata) based on the relevant characteristic (e.g. gender, age range, income bracket, job role).

Based on the overall proportions of the population, you calculate how many people should be sampled from each subgroup. Then you use random or systematic sampling to select a sample from each subgroup.

I hope this helped!

Answer:

Taking the square root

Step-by-step explanation:

[tex]x^2-36=0[/tex]

[tex]x^2=36[/tex]

[tex]x=\pm6[/tex]

Alternatively, you can use a difference of squares to factor and solve:

[tex]x^2-36=0\\(x+6)(x-6)=0\\x=-6,x=6[/tex]

Answer:

8+8+13+13= 42yd

Length: 13

Width: 8

Multiplied equals:

Answer: 4.5 gallons

Step-by-step explanation:

Gallons of gas = # of miles / miles per gallon. Therefore:

153 miles/34 miles per gallon = 4.5 gallons

Answer:

4.5 gallons

Step-by-step explanation:

The car travelled 153 miles and gets 34 miles per gallon. So for every 34 miles it uses one gallon. 153 miles ÷ 34 miles per gallon = 4.5 gallons.

[tex]\stackrel{mixed}{6\frac{3}{7}}\implies \cfrac{6\cdot 7+3}{7}\implies \stackrel{improper}{\cfrac{45}{7}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\frac{45}{7}\textit{\% of 4570}}{\left( \cfrac{~~\frac{45}{7}~~}{100} \right)4570}\implies \left( \cfrac{45}{700} \right)4570~~ \approx~~293.79[/tex]

The tailor can make 8 outfits with 4 4/9 square yards of fabric

Given the following parameters;

A baby outfit uses 4/9 square yards of fabric for the hat and 1/9 square yards of fabric for the bib.

A tailor has 4 4/9 square yards of fabric, then the total outfit the tailor can make is expressed as:

total outfit = 40/9 ÷ 5/9

total outfit = 40/5

total outfit = 8 outfits

Hence the tailor can make 8 outfits with 4 4/9 square yards of fabric

Learn more on ratio and proportion here: https://brainly.com/question/12024093

Answer:

For 81cm³ of water we need 9g of powder.

Step-by-step explanation:

To have the same medicine in a larger amount, the concentration of the powder must be the same, and this concentration is given by the ratio between the amount of powder and the volume of water it is diluted. This ratio is

[tex]\frac{5}{45} = \frac{1}{9}[/tex]

Since this ratio must be the same for a larger amount, the ratio of our desired amount of powder(let's call it x) by 81cm³ must be equal to this ratio.

[tex]\frac{x}{81} = \frac{1}{9}[/tex]

Solving for x, we have

[tex]\frac{x}{81} = \frac{1}{9} \\\\[/tex]

[tex]\frac{x}{81}[/tex] × [tex]81= \frac{1}{9}[/tex] × [tex]81[/tex]

[tex]x = \frac{81}{9}[/tex]

[tex]x = 9[/tex]

For 81cm³ of water we need 9g of powder.

Answer:

  66 °F

Step-by-step explanation:

At 4 P.M., the temperature had decreased by 3° from the temperature at 3 P.M., so was ...

  4 P.M. temp = 78 °F -3° = 75 °F

This was repeated until 7 P.M.

  5 P.M. temp = 75 °F -3° = 72 °F

  6 P.M. temp = 72 °F -3° = 69 °F

  7 P.M. temp = 69 °F -3° = 66 °F

The temperature at 7 P.M. was 66 °F.

__

Of course the repeated subtraction can be simplified using multiplication. The subtraction of 3° four times is equivalent to the subtraction of . . .

  (3°)(4) = 12°

That is, the temperature at 7 P.M. is ...

  78 °F -3°×4 = 78 °F -12° = 66 °F

Answer:

what is the expression

Step-by-step explanation:

Answer:

The first one

Step-by-step explanation:

All of the others are true

Answer:

all polygon have same formula for perimeter. sum of all sides

Step-by-step explanation:

in parallelogram area is l*b

peri = 2*(l+b)

here

2*(18+6) = 2*24 = 48 cm

Answer:

24 (units)

Step-by-step explanation:

Because Quadrilateral EFGH is being dilated by a scale factor of 3/4, this means that each side of E'F'G'H' gets multiplied by 3/4. In this case, we are going to divide by 3/4 to return to the original figure (or multiply by 4/3 since that is the reciprocal)

This means that side HE is 18/(3/4) = 18(4/3) = 72/3 = 24 units

Answer:

= 3z4 - 2z2 -5z

Step-by-step explanation:

Answer: Choice D

Explanation:

We can verify this by noticing the ratio between adjacent terms is the same

The common ratio is -4. Each time we need a new term, multiply the previous term by -4. Example: -16*(-4) = 64.

Answer:

31

Step-by-step explanation:

Add 4 for every day there after. 15+4=19; 19 +4=23 and so on.

The poverty level cutoff in 1987 to the nearest dollar  was $10787.

The midpoint as the point that divides the line segment exactly in half having two equal segments. Therefore, the midpoint presents the same distance between the endpoints for the line segment. The midpoint formula is: [tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex].

For solving this exercise, first you need plot the points in a chart. See the image.

Your question asks to approximate the poverty level cutoff in 1987 to the nearest dollar using the midpoint formula. Note that the year 1987 is between 1980 and 1990, thus you should apply the midpoint formula from data for this year (1987).

[tex]\mathrm{Midpoint\:of\:}\left(1980,8429),\:\left(1990,13145):\quad \left(\frac{1990+1980}{2},\:\:\frac{13145+8429}{2}\right)\\\\ \\[/tex]

[tex]\mathrm{Midpoint\:of\:}\left(1980,8429)\:=\left(\frac{1990+1987}{2},\:\frac{13145+3843}{2}\right)\\ \\ =\left(\frac{3977}{2},\:\frac{21574}{2}\right)[/tex]

[tex]\mathrm{Midpoint\:of\:}\left(1980,8429)\:=\=(\frac{3977}{2},10787)[/tex]

The answer for your question will be the value that you calculated for the y-coordinate. Then, the poverty level cutoff in 1987 to the nearest dollar  was $10787.

Read more about the midpoint segment here:

https://brainly.com/question/11408596

Answer:

5/x

Step-by-step explanation:

[tex]\frac{2x+2}{x^2+x}+\frac{3x+3}{x^2+x}[/tex]

[tex]\frac{2x+2+3x+3}{x^2+x}[/tex]

[tex]\frac{5x+5}{x^2+x}[/tex]  

[tex]\frac{5(x+1)}{x(x+1)}[/tex]

[tex]\frac{5}{x}[/tex]

Answer:

[tex] \frac{2x + 2}{ {x}^{2} + x } + \frac{3x + 3}{ {x}^{2} + x} \\ \\ = \frac{2(x + 1)}{x {}^{2} + x } + \frac{3x + 3}{ {x}^{2} + x } \\ \\ = \frac{2(x + 1)}{x(x + 1)} + \frac{3x + 3}{ {x}^{2} + x} \\ = \frac{2}{x} + \frac{3(x + 1)}{ {x}^{2} + x} \\ \\ = \frac{2}{3} + \frac{3(x + 1)}{ {x}^{2} + x} \\ \\ = \frac{2}{3} + \frac{3(x + 1)}{x (x + 1) } \\ \\ = \frac{2}{x} + \frac{3}{x} \\ \\ = \frac{2 + 3}{x} \\ \\ = \frac{5}{x} [/tex]

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# Bora 7#

Answer:

-2

Step-by-step explanation:

p = -2.5

r = 0.5

p + r =

-2.5 + 0.5 =

-2

Answer:

-1

Step by step explanation