Eva is solving the equation 4(x+32)=8
She says, “I can subtract 32 from each side to get 4x=132 and then divide by 4 to get x=138."

Dakota says, “I think you made a mistake.”

Determine the correct value for x.

x=

System of equations y = x² + 7x + 4 has one real root with the line y = x -5.

A quadratic equation is the polynomial equation of two degrees in one variable. The general form of a quadratic equation is  ax² + bx + c = 0.

The quadratic equation formula for the solution of roots.

[tex]\rm (\alpha ,\beta ) = [ -b[/tex]±[tex]\rm \sqrt{b^{2} - 4ac} /2ac[/tex]]

The discriminant is the [tex]\rm \sqrt{b^{2} - 4ac}[/tex] part of the quadratic equation

If D is greater than zero then the roots are real and distinct.

If D is equal to zero then the roots are real and equal.

If D is less than zero then the roots are imaginary and unequal.

y = x² + 7x + 4

From First option, System of equations

y = x² + x – 4

y = x – 5

So, x - 5 = x² + x – 4

x² + x – 4 - x + 5 = 0

x² + 1 = 0

discriminant = b²- 4×a×c

= 0²- 4×1×1

-4 < 0, therefore the equation has no real roots.

From Second option, System of equations

y = x² + 2x – 1

y = x – 5

So, x - 5 = x² + 2x – 1

x² + 2x - 1  - x + 5 = 0

x² + x + 4 = 0

discriminant = b²- 4×a×c

= 1²-4×1×4

-15 < 0   therefore, the equation has no real roots.

From Third option, System of equations

y = x² + 6x + 9

y = x – 5

So, x - 5 = x² + 6x + 9

x² + 6x + 9  - x + 5 = 0

x² + 5x + 4 = 0

discriminant = b²- 4×a×c

= 5²-4×1×4

9 > 0 therefore, the equation has two different real roots.

From Fourth option, System of equations

y = x² + 7x + 4

y = x – 5

So. x - 5 = x² + 7x + 4

x² + 7x + 4 - x + 5 = 0

x² + 6x + 9 = 0

discriminant = b²- 4×a×c

= 6²-4×1×9 = 0

0  therefore, the equation has one real root.

Since, System of equations y = x² + 7x + 4 has one real root with the line y = x -5.

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Answer:

D on edge

Step-by-step explanation:

[tex]sin(\theta )=\cfrac{\stackrel{opposite}{7}}{\underset{hypotenuse}{25}}\qquad \textit{let's find the \underline{adjacent side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{25^2-7^2}=a\implies \sqrt{576}=a\implies 24=a~\hfill tan(\theta )=\cfrac{\stackrel{opposite}{7}}{\underset{adjacent}{24}}[/tex]

Answer:

no

Step-by-step explanation:

0.06 = [tex]\frac{6}{100}[/tex] ← that is 6 books out of 100

she requires to have 60 out of 100 , that is

[tex]\frac{60}{100}[/tex] = 0.6

Answer:

3

Step-by-step explanation:

81^(¼) can also be witten as the fourth root of 81, which happens to be 3.

Answer:

3

Step-by-step explanation:

(3*(to the fourth power))1/4

Answer:

i don't really know but I love pizza

Answer:

3mm

Step-by-step explanation:

4 (3/4)

4x3/4

=3

brainiest please

Answer:

⠀

Step-by-step explanation:

⠀

We know,

[tex]{\longrightarrow \qquad \boldsymbol{\pmb{Perimeter_{(square)} \it=4a }}}[/tex]

⠀

Where,

⠀

Now, Substituting the values in the formula :

⠀

[tex]{\longrightarrow \qquad {\rm{Perimeter_{(square)} = \it4 \times \it \dfrac{3}{4} }}}[/tex]

⠀

[tex]{\longrightarrow \qquad {\rm{Perimeter_{(square)} = \it \cancel4 \times \it \dfrac{3}{ \cancel4} }}}[/tex]

⠀

[tex]{\longrightarrow \qquad {\boldsymbol {\pmb{Perimeter_{(square)} = 3 }}}}[/tex]

⠀

Therefore,

6. D   ---> Length of all the sides

7. E    ---> a tool

8. A    ---> 3 sides

9. B    ---> 5 sides

10. C   ---> 4 sides

Answer:

5x=15. I hope it can help you a lots. thanks.

Step-by-step explanation:

5x=14+1

5×=14.

Answer:

[tex]4x + 6y^{3} x^{2}[/tex]

Step-by-step explanation:

Simplify

The random selection of a blue marble is an illustration of probability

You should expected to pull a blue marble 10 times

The given parameters are:

Blue = 16

Red = 12

Green = 12

The total number of marbles is:

Total = 16 + 12 + 12

So we have:

Total = 40

The probability of selecting a blue marble is:

[tex]P(Blue) = \frac{16}{40}[/tex]

When 25 marbles are selected, the expected number of blue is:

[tex]Blue = n * P(Blue)[/tex]

So, we have:

[tex]Blue = 25 * 16/40[/tex]

[tex]Blue = 10[/tex]

Hence, the expected number of blue marbles is 10

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Answer:

Square

Step-by-step explanation:

Requirements that make a square, a square;

Answer:

Square

Explanation:

A square has four congruent angles as each angle measure is 90°. A square can never have an angle other than 90°. A square also has all four equal sides, and its opposite side lengths are parallel because all angles of a square must be 90°.

Please look at attached image for reference.

Answer:

39 sq inches

Area of sector = [tex]\frac{θ}{360}*\pi r^{2}[/tex]

Given: θ = 70°, radius (r) = 8 inches

Area of sector = [tex]\frac{70}{360} * \pi *8^{2}[/tex]

= 39.095

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hope it helps...

Answer:

  6 games

Step-by-step explanation:

The number of games can be found by determining the number of groups of 10 Maria can make.

 62/10 = 6.2

Maria can make 6 groups of 10 and will have a fraction of a group left over. Maria will be able to put together 6 of her board games.

Answer:

20+2C

Step-by-step explanation:

sum means addition

if Craig's age is c than twice his age is 2xC, also expressed as 2C

20+2C

Step-by-step explanation:

4)For answer of no 4

the third side can be gotten by pythagoras theorem;

It says,

hyp^2=opp^2 + adj^2

hyp= ?

opp=30

adj=40

so,

hyp^2=30^2 + 40^2

hyp^2=900+1600

hyp^2=2500

square rooting both sides,

hyp=50ft

Therefore the missing side is 50ft

5) for number 5

opp is missing

remember,

hyp^2=opp^2+adj^2

opp^2= hyp^2-adj^2

opp^2=41^2-40^2

opp^2=1681-1600

opp^2=81

square rooting both sides,

0pp=9Inches

Answer:

The answer is 1.5

pls give brainliest ily<3

hi there! so here's my answer

[tex] \rm \tiny\color{green}t = \frac{10}{9} \\ \\ \tt \: in \: alternative \: form \\ \\ \color{yellow} \rm \: t = 1 \frac{1}{9} \: \: \: or \: \: t = 1.1[/tex]

Step-by-step explanation:

[tex] \color{gray} \tt \: 16 = 2( - 8t - 1) \times (t - 2)[/tex]

[tex]\color{gray} \tt \: 16 = 2(- 9)(t - 2)[/tex]

[tex]\color{gray} \tt \: 16=^ \ 2*9(t-2)[/tex]

[tex]\color{gray} \tt \: 16=-18 (t-2)[/tex]

[tex]\color{gray} \tt \: 16 = - 18t + 36[/tex]

[tex]\color{gray} \tt \:16+18t=36[/tex]

[tex]\color{gray} \tt \:18t=36-16 [/tex]

[tex]\color{gray} \tt \:18t=20 [/tex]

[tex] \:\rm \tiny\color{green}t = \frac{10}{9} \\ \\ \tt \: in \: alternative \: form \\ \\ \color{yellow} \rm \: t = 1 \frac{1}{9} \: \: \: or \: \: t = 1.1[/tex]

hope it helps

Answer:

I'm taking the test right now so i'll tell you the right answer after I submit my test but for now I think it's C.

Answer:

Its A

Step-by-step explanation

just trust me

Answer: 25%

Step-by-step explanation: the probability of drawing blue=5/20

divide 5 by 20= .25 then make .25 into a %:25% (you just move the decimal to the right twice)

Answer:

x = 5

y = 2

Step-by-step explanation:

multiply by -2 the second equation and add the first equation to eliminate "x"

[tex]4x+5y=30\\-4x-10y=-40[/tex]

_______________

            [tex]-5y=-10\\y=\frac{-10}{-5} =2[/tex]

To find "x", substitute the value of "y" in any equation. I do it in the first

[tex]4x+5(2)=30[/tex]

[tex]4x+10=30[/tex]

[tex]4x=30-10\\x=20/4=5[/tex]

Hope this helps

Answer:

i got you

Step-by-step explanation:

first you will make the easiest equation into y=mx+b

2x=5y=20

subtract 2x from it self and 20, you will eliminate the 5 but keep the y then you will get y=2x+20

then you will substitute it into the y in the other equation 4x+5(2x+20)=30

after doin that you will multiply 5 by both the number in the parenthesis

4x+15x+100=30 add like terms 4x+15x =

19x+100=30 subtract 100 fromm itself and 30 you will get -70

-70 divided by 19x then you will get your answer

He has 100 + 120 = 220 coins in his purse.

He has n + p coins if he has n nickels and p pennies.

The range of the provided inverse sine function in terms of x, and y y = sin-1x is [-π/2, π/2].

Range of a function is the set of all the possible output values which are valid for that function.

The trigonometry function given in the problem is,

[tex]y = \sin^{-1}x[/tex]

The above function can be written as,

[tex]\sin y = x[/tex]

The above function is the arc of sine function. The domain of arc of sine ranges from -1 to 1.

[tex]-1\leq x\leq1[/tex]

This is the domain of the inverse of sine function. In the attached image below, the graph of inverse sine function is plotted. The range of this function is,

[tex]-\dfrac{\pi}{2}\leq x\leq\dfrac{\pi}{2}[/tex]

Thus, the range of the provided inverse sine function in terms of x, and y y = sin-1x is [-π/2, π/2].

Learn more about the range of the function here;

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Answer:

C {-pi/2,-pi/2}

Step-by-step explanation:

Step-by-step explanation:

law of sine :

a/sinA = b/sinB = c/sinC

with the sides and correlating angles being always opposite to each other.

we are dealing with a right-angled triangle here.

the train track is the Hypotenuse (the side opposite of the 90° angle) : 1600 ft.

the horizontal level "connection" from beginning to the end of the track is one leg, and the elevation difference at the end of the track is the second leg.

the 2 legs enclose a 90° angle, as the elevation goes straight up from the horizontal level.

so, we have

1600/sin(90) = elevation difference / sin(1.6)

sin(90) = 1

1600 = elevation difference / sin(1.6)

elevation difference = 1600 × sin(1.6) =

= 1600 × 0.027921639... =

= 44.67462196... ft

≈ 44.7 ft

Answer:

Simplifying th exprsssion brings it down to zero

Hope this helps

Answer:

Latisha rode 16 rides

Step-by-step explanation:

Look at picture attached. Have a blessed night!

Just slope intercept formula (y=mx+b). X represents the number of rides so you will need to myltiply that by $2.50. $9 is a one time fee so that would be of the b of the equation. That all equals the total Latisha piaid, $49. Then solve like so.

A statistically significant result will allow the medical center to conclude that the new procedure causes a reduction in recovery time.

A result is statistically significant if there's a very low probability that it could have occurred by chance.

What this means is that the reduction in the recovery time was truly as a result of the new procedure which is why it will be adopted by the medical center.

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Answer:

Step-by-step explanation:

We can use the interest equation (mind you it is the same thing as said in the problem) to solve this:

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Where A is the resulting amount, r is the interest rate, n is the number of times compounded per year and t is the time.

[tex]A=1209(1+\frac{.082}{12} )^{12*26}[/tex]

A = $10,120.29