Solve for x. Enter the solutions from least to greatest.
Round to two decimal places.
(x + 8)^2 - 7 = 0

asap will give brainliest

Answers

Answer 1

The value of x according to the equation in the task content is; -5.35 or -10.65.

What is the value of x in the equation?

The equation given in the task content is; (x + 8)² -7 = 0.

Hence, the equation can be solved as follows;

(x + 8)² - 7 = 0

x² + 16x +64 -7 = 0

x²+ 16x +57 = 0

By solving by means of the quadratic formula, we have;

x = -5.35

x = -10.65

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Related Questions

What is the domain and range of this graph?

Answers

Domain:

t ε [ 0 , ∞ [

Range:

p(t) ε [ 5 , ∞ [

Which expression is equivalent to-2x+5?

Answers

The equivalent expression of -2x + 5 is 5 - 2x

How to determine the equivalent equation?

The expression is given as:

-2x + 5

The symmetry rule of expression states that:

a + b = b + 1

So, we have:

-2x + 5 = 5 - 2x

Hence, the equivalent expression of -2x + 5 is 5 - 2x

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Rationalize the denominator.

Answers

Hello and Good Morning/Afternoon!

Let's take this problem step-by-step:

What the problem asks for:

  ⇒ to rationalize the denominator

      ⇒ rationalize means that you multiply the numerator and

          demonimator by the denominator

Let's put that into action:

    [tex]\frac{\sqrt{a +1}-2 }{\sqrt{a+1}+2 } * \frac{\sqrt{a +1}+2 }{\sqrt{a+1}+2 }\\=\frac{a +1-4 }{a+1+4\sqrt{a+1}+4 } \\=\frac{a-3}{a+4\sqrt{a+1}+5 }[/tex]<== Answer

Hopefully that helps!

need help with this question. ​

Answers

We have this equation:

[tex]\log(x) + \log(x + 99) = 2[/tex]

First, combine both logarithms using the multiplication property and simplify the expression.

[tex]\log[x(x + 99)] = 2[/tex]

[tex]\log[ {x}^{2} + 99x ] = 2[/tex]

Now, use the definition of logarithm to transform the equation.

[tex] {10}^{2} = {x}^{2} + 99x[/tex]

[tex] {x}^{2} + 99x - 100 = 0[/tex]

Finally, use the quadratic formula to solve the equation.

[tex]x = \frac{ -99 ± \sqrt{ {99}^{2} - 4 \times 1 \times ( - 100)} }{2 \times 1} [/tex]

With this, we can say that the solution set is:

x = 1x = -100

We cannot choose x = -100 as a solution because we cannot have a negative logarithm. The only solution is x = 1.

The lsrl after an exponential transformation is log yhat=.4785 + 1.468x. What is the exponential form of the regression?

Answers

Answer:

[tex]10^{0.4785+1.468x}=y[/tex]

Step-by-step explanation:

So I'm assuming when you typed "log yhat=.4785 + 1.468x", you meant to write: [tex]log(y)=0.4785+1.468x[/tex]. And generally a logarithm can be written in the form [tex]log_ba=c[/tex] which can then be rewritten as [tex]b^c=a[/tex], but since the log has no base, it's assumed to be 10. So in this case you have the equation:

[tex]log_{10}y=0.4785+1.468x[/tex], which can then be written in exponential form as:

[tex]10^{0.4785+1.468x}=y[/tex]

77 is the product of 7 and diego's height use the variable d to represent diego';s height

Answers

Diego's height is 7 units

How to determine Diego's height?

The statement is given as:

77 is the product of 7 and Diego's height

This means that:

77 = 7 * d

Divide both sides by 7

d = 11

Hence, Diego's height is 7 units

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22POINTS PLEAS ANsewer

Answers

Answer:

2y>-y+5

Step-by-step explanation:

because it has a eligible number at the right hand side

Suppose U = The set of one digit numbers and A = {x: x is an even natural number less than or equal to 9} Describe each of the sets by complete listing method: A'​

Answers

The sets U and A are U = {0, 1, 2, 3.....,9} and A = {2, 4, 6, 8}

How to list the set elements?

The sets are given as:

U = The set of one-digit numbers

A = {x: x is an even natural number less than or equal to 9}

One-digit numbers are numbers 0 - 9.

So, we have

U = {0, 1, 2, 3.....,9}

Natural numbers are numbers from 1.

Even natural numbers can be divided by 2 without remainder'

So, we have

A = {2, 4, 6, 8}

Hence, the sets U and A are U = {0, 1, 2, 3.....,9} and A = {2, 4, 6, 8}

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Answer:

Step-by-step explanation:

Describe how the graph of a line with a slop m=1/2 differ from the graph of a line with slop m=2?

Answers

The line with slope = 2 will be closer to the y-axis than the line with slope = 1/2

How to interpret the slopes?

The slopes are given as:

Slope = 2

Slope = 1/2

The greater the absolute value of the slope of a linear equation.

The closer the function is to the y-axis

This means that the line with slope = 2 will be closer to the y-axis than the line with slope = 1/2

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Dilate ∆ABC about the origin using the scale factor n. Measure and compare the lengths of the sides of the dilated triangle, ∆A'B'C', with those of ∆DEF. Take a screenshot of your dilation, save it, and insert the image below the table.

Answers

The attached graph represents the image of the triangles

How to dilate the triangle?

To do this, we make use of the following coordinates

A = (1, 0)

B = (5, 0)

C = (1, 6)

The lengths of the triangle are calculated using

[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2[/tex]

So, we have:

[tex]AB = \sqrt{(1-5)^2 + (0 -0)^2} = 4[/tex]

[tex]BC = \sqrt{(1-5)^2 + (6 -0)^2} = 7.2[/tex]

[tex]AC = \sqrt{(1-1)^2 + (6 -0)^2} = 5[/tex]

Using the scale factor of 2, we have the image of the dilation to be:

D = (2, 0)

E = (10, 0)

F = (2, 12)

The lengths of these sides are

DE = 8

EF = 14.4

DF = 10

See attachment for the image of the triangles ABC and DEF

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en un proyecto de innovacion, se deben determinar montos para varios gastos, Se gasta un 25% en equipamiento, un quinto en salarios, un 35% en publicidad, qudando un remanente de $1.500.000 para gastos varios

Answers

The amount that's was attributed to the project from the start based on the percentage is $7,500,000.

How to calculate the percentage?

From the information given, the remaining percentage will be:

= 100% - (25% + 20% + 35%)

= 100% - 80%

= 20%

Let the total amount be x.

Therefore, 20% of x = 1,500,000

0.2x = 1,500,000

x = 1500000/0.2

x = 7500000

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Sam ran 3 1/4 miles on Tuesday and then ran 2 5/6 miles on Wednesday. How many total miles did Sam run ?

Answers

Answer:

6  1/12 miles total

Step-by-step explanation:

3 1/4 = 13/4

2 5/6 = 17/6        to ADD fractions, you must have a common denominator

                              I will use 12   for these

13/4 = 39/12

17/6 = 34 /12

now you can add and simplify     39/12 + 34/12 = 73/12 = 6 1/12  miles

Factor by Grouping.
The ac product of 35x² + 41x + 12 is
The factors of the ac product that add to 41 are
35x² + 41x + 12 =
Submit Question
x +
)(
and
x +
000

Answers

Answer:

The ac product of [tex]35x^2+41x+12[/tex] is 420.

The factors of the ac product that add to 41 are 20 and 21.

[tex]35x^2+41x+12 =[/tex] [tex](7x+4)(5x+3)[/tex]

Step-by-step explanation:

1) The general form of a quadratic is [tex]ax^2 + bx + c[/tex]. Hence, multiplying 35 by 12 gives you the product of ac, which is 420.

2) We need to find two numbers that multiply to 420 and add up to 41 simultaneously. If we pull out the factors of 420, two of them will be 20 and 21, which multiply to 420 as well as add up to 41.

3) Write [tex]41x[/tex] as a sum.

[tex]35x^2+20x+21x+12[/tex]

Now, we can factor them out by grouping.

[tex]35x^2+20x+21x+12\\5x(7x+4)+3(7x+4)[/tex]

Since, [tex]7x +4[/tex] is common in both of the factors, we only take one of the [tex]7x+4[/tex] along with [tex]5x[/tex] and [tex]3[/tex].

[tex](7x+4)(5x+3)[/tex]

Answer:

[tex]\text{The ac product of }\: 35x^2+41x+12 \text{ is }\boxed{420}\:.[/tex]

[tex]\text{The factors of the ac product that add to 41 are }\:\boxed{20} \: \text{ and }\: \boxed{21}\:.[/tex]

[tex]35x^2+41x+12=\left( \: \boxed{5}\:x+\:\boxed{3}\:\right)\left(\: \boxed{7}\:x+\boxed{4}\:\right)[/tex]

Step-by-step explanation:

Given quadratic:

[tex]35x^2+41x+12[/tex]

Factoring quadratics by grouping

To factor a quadratic in the form [tex]ax^2+bx+c[/tex],  find two numbers that multiply to ac and sum to b.

[tex]\implies ac=35 \cdot 12 = 420[/tex]

[tex]\implies b = 41[/tex]

Therefore, the two numbers that multiply to 420 and sum to 41 are:
20 and 21

Rewrite b as the sum of these two numbers:

[tex]\implies 35x^2+20x+21x+12[/tex]

Factorize the first two terms and the last two terms separately:

[tex]\implies 5x(7x+4)+3(7x+4)[/tex]

Factor out the common term [tex](7x+4)[/tex] :

[tex]\implies (5x+3)(7x+4)[/tex]

Conclusion

[tex]\text{The ac product of }\: 35x^2+41x+12 \text{ is }\boxed{420}\:.[/tex]

[tex]\text{The factors of the ac product that add to 41 are }\:\boxed{20} \: \text{ and }\: \boxed{21}\:.[/tex]

[tex]35x^2+41x+12=\left( \: \boxed{5}\:x+\:\boxed{3}\:\right)\left(\: \boxed{7}\:x+\boxed{4}\:\right)[/tex]

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Find the unit rate.
594 chairs in 9 rows
Submit
||
chairs per row

Answers

Answer:

66 chairs

Step-by-step explanation:

Total number of chairs = 594

Total number of rows = 9

Number of chairs per row

= 594/9

= 66 chairs

__________

Hope it helps ⚜

PLS HELP ME Solve the following equation: two fifths plus one fifth equals

one fifth,
three tenths,
two fifths,
or three fifths.

Answers

Answer: 3/5 (three fifths)
1/5 + 2/5 = 3/5
(1+2)/5 = 3/5

it is three fifths,

and it is the answer.

A cars odometer reads 12,386 if the driver takes the car to and from work for three days and each trip is 32 miles one way what will the odometer read at the end of the third day

Answers

At the end of the third day, the new reading on the odometer will be 12,578 mi

What will the odometer reading at the end of the third day?

The initial odometer reading is 12,386 miles.

Then, the driver takes drives to and from work, such that each trip is 32 miles. Then each day he drives 2*2mi = 64 miles.

And he does this for 3 days, then the total distance driven is:

3*64mi = 192 miles.

At the end of the third day, the new reading on the odometer will be:

R = 12,386 mi + 192mi = 12,578 mi

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How did I do? for one of the questions I assumed you didnt take in count for the base so I just did lateral area

Answers

The area of the exposed surface is 442 square feet

What is a right square pyramid?

A right square pyramid is a polyhedron with 5 faces consisting of four triangles and a square base.

Analysis:

The exposed surface is the area of the four triangles.

The perpendicular height of the triangles is same and it is the slant length of the shape = 17ft

Area of 4 triangles = 1/2 bh = 1/2 x 17 x 13 x 4 = 442 square feet.

In conclusion, area of exposed surface is 442 square feet.

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A block is a rectangle that measures 100yards by 76yards. How many times around the block do you have to drive in order to drive one mile?

Answers

If block has length 100 yards and breadth 76 yards then we have to drive 5 times to drive one mile.

Given The length of block is 100 yards, the breadth of block is 76 yards.

We have to find number of times we need to drive one mile.

The perimeter of a rectangle= 2(length +breadth)

length is 100 yards

Breadth is 76 yards

perimeter=2(100+76)

=2*176

=352 yards.

We know that 1 mile is equal to 1760 yards.

We have to find number of times to drive 1 mile=1760/352

=5 times.

Hence we have to drive 5 times around the block which have length 100 yards and breadth 76 yards.

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Please help me!

For a certain company, the cost for producing x items is 50x + 300 and the revenue for selling x items is 90x - 0.5x^2.

The profit that the company makes is how much it takes in (revenue) minus how much it spend (cost). In economic models, one typically assumes that a company wants to maximize its profit or at least wants to make a profit:
Set up an expression for the profit from producing and selling x items
Find two values of x that will create a profit of $300

Answers

Using the profit concept, we have that:

The expression is: P(x) = -0.5x² + 40x - 300.A profit of $300 is found with x = 20 and x = 60.

What is the profit concept?

Profit is given by revenue subtracted by costs.

In this problem, we have that:

The revenue is: R(x) = 90x - 0.5x².The costs are: C(x) = 50x + 300.

Hence the expression for the profit is given as follows:

P(x) = R(x) - C(x)

P(x) = 90x - 0.5x² - 50x - 300

P(x) = -0.5x² + 40x - 300.

A profit of $300 is found when P(x) = 300, hence:

300 = -0.5x² + 40x - 300

0.5x² - 40x + 600 = 0.

x² - 80x + 1200 = 0.

(x - 60)(x - 20) = 0.

Hence the values are:

x - 60 = 0 -> x = 60.x - 20 = 0 -> x = 20.

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Write an equation for the nth term of the arithmetic sequence 8, 3, -2, -7,... Find the 9th term of the sequence.

Answers

Answer: -32

Rule: -5

Explanation: 8-5=3 3-5=-2 (-2)-5=(-7) (-7)-5=(-12), etc.

The sum of three consecutive even integers is 96

Answers

Answer:

The sum of three consecutive even integers is 96

31+32+33=96

Which of the set of ordered pairs contains the line 1/3x+y=15

Answers

Answer:

{(-3, 16),(0, 15),(3, 14)}

Step-by-step explanation:

just plug in the points for x and y and solve to see if 15 is the answer you get for all of them which would give you B as your answer

numbers like 0 and 1 and 3 (because it would cancel 1/3x) are good numbers to do quick math with

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What is the least possible value of (x+1)(x+2)(x+3)(x+4)+2019 where x is a real number?

Answers

By completing the square, we have

[tex](x+1)(x+4) = x^2 + 5x + 4 = \left(x+\dfrac52\right)^2 - \dfrac94[/tex]

[tex](x+2)(x+3) = x^2 + 5x + 6 = \left(x + \dfrac52\right)^2 - \dfrac14[/tex]

Then

[tex](x+1)(x+2)(x+3)(x+4) = \left(x+\dfrac52\right)^4 - \dfrac52 \underbrace{\left(x + \dfrac52\right)^2}_{=y} + \dfrac9{16} \\\\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ = y^2 - \dfrac52 y + \dfrac9{16} \\\\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ = \left(y - \dfrac54\right)^2 - 1 \\\\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ = \left(\left(x + \dfrac52\right)^2 - \dfrac54\right)^2 - 1[/tex]

This product has a minimum of -1 when

[tex]\left(x + \dfrac52\right)^2 - \dfrac54 = 0[/tex]

which has two real solutions; then the minimum of the overall expression is -1 + 2019 = 2018.

Solve for x: -5(-3x+1)=-45

Answers

Answer:

x = -8/3

Step-by-step explanation:

-5(-3x+1)=-45

⇔ 15x - 5 = -45  (left side of the equation expanded)

⇔ 15x = -45 + 5 (add 5 to both sides)

⇔ 15x = -40

⇔ x = -40/15    (Divide both sides by 15)

⇔ x = -8/3  (simplify)

ANSWER ASAP, GIVING BRAINLIEST TO FIRST ANSWER!!!
Which linear inequality represents the graph below?
(-3,3)-(0,1)

Answers

Answer:

if the red line is included it is a. if the red line is excluded it is C. I believe.

Answer:

A

Step-by-step explanation:

the equation of the line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 3 ) and (x₂, y₂ ) = (0, 1) ← 2 points on the line

m = [tex]\frac{1-3}{0-(-3)}[/tex] = [tex]\frac{-2}{0+3}[/tex] = - [tex]\frac{2}{3}[/tex]

the line crosses the y- axis at (0, 1 ) ⇒ c = 1

y = - [tex]\frac{2}{3}[/tex] x + 1 ← equation of line

the solutions to the inequality lie above the line, including the line, in the shaded area , then

y ≥ - [tex]\frac{2}{3}[/tex] x + 1 → A

For what value of y does 125 =
(1/25)^y-1

Answers

Answer:

[tex] y = -\dfrac{1}{2} [/tex]

Step-by-step explanation:

I assume that y - 1 is an exponent, and the equation is

[tex] 125 = (\dfrac{1}{25})^{y - 1} [/tex]

[tex] 5^3 = (5^{-2})^{y - 1} [/tex]

[tex] 5^3 = 5^{-2y + 2} [/tex]

[tex] -2y + 2 = 3 [/tex]

[tex] -2y = 1 [/tex]

[tex] y = -\dfrac{1}{2} [/tex]

7) Which statement about perpendicular lines is true?

A. Perpendicular lines form 90° angles.

B. Perpendicular lines share no points.

C. Perpendicular lines have the same slope.

D. Perpendicular lines are equidistant along their lengths.

Answers

Answer:

is the a. Perpendicular lines form 90° angles.

A. Perpendicular lines form 90 degree angles

Question 18
Which formula is used to find the y-coordinate of the vertex of the quadratic function?

Answers

Answer:

[tex]\frac{-D}{4a}[/tex]

Step-by-step explanation:

y-coordinate is [tex]\frac{-D}{4a}[/tex] where a is coefficient of quadratic polynomial (ax^2+bx+c) and D is discriminant of the quadratic equation when you equate it to zero.

Question 11 (5 points)
Select the expression that is equivalent to x+x+yxyxy.
O 2x+y³
Ox² + y²
O² + 3y
2x+3y

Answers

Answer:

I don't know if you have any questions or need any further information please contact me your Telugu movie review poster

la longitud del jardín
de Carme es 15 m 24 cm. la longitud del jardín de su amigo es 2 m 98 cm más que el de Carmen . ¿cuál es la longitud del jardín de su amigo?

Answers

la longitud del jardín del amigo de Carmen es 18 m 22 cm.

¿Qué es una ecuación?

Una ecuación se forma cuando dos expresiones algebraicas se igualan usando un signo igual.

Se da que la longitud de Carme

Se sabe que la longitud del jardín de Carmen es de 15 m 24 cm.

y el largo del jardín de su amigo es 2 m 98 cm más largo que el de Carmen.

Sea La longitud del jardín de Carmen es x m

Entonces la ecuación se convierte en

La longitud del jardín de su amigo = x + 2m 98 cm

ahora ,

x = 15m 24cm

Sustituyendo los valores en la ecuación

La longitud del jardín de su amigo = 15m 24cm + 2m 98 cm

1m = 100cm

La longitud del jardín de su amigo = 17 m 122 cm

as 100 cm = 1m

122 cm = 1 m 22 cm

so ,

La longitud del jardín de su amigo = 18 m 22 cm.

Por lo tanto, la longitud del jardín del amigo de Carmen es 18 m 22 cm.

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