(x-8)2 – 7 = 25
Factored

Answers

Answer 1

Answer:

x = 8 ± 4√2

Step-by-step explanation:

(x - 8)² - 7 = 25

Add 7 to both sides.

(x - 8)² = 32

Take the square root for both sides.

x - 8 = ±√32

Add 8 to both sides.

x = 8 ±√32

Simplify √32

√32 = √16 · √2

√32 = ±4√2

x = 8 ± 4√2


Related Questions

Find three consecutive odd integers such that the sum of the smallest and twice the second is 14 more than the third.

Show your work

Answers

Ans 7, 9, 11

Step-by-step explanation:

Think of it as an equation.  You have 3 integers x, y, and z.

x + 2y = z + 14.  

Plug in consecutive odd integers, picking your next set of trial and error integers based on how far off the equation is.

In this case, 7 + (2 * 9) = 11 + 14

In this example, it took me three attempts to get the correct answer.

Help please. How to calculate it? That is the answer of last one ?

Answers

Answer:

60

Step-by-step explanation:

Shoes= 10

Human= 5

Cone= 4

10+5= 15 x 4= 60

A species of animal is discovered on an island. Suppose that the population size P(t) of the species can be modeled by the following function, where time t is measured in years.
P(t) =800/1+ 3e^-0.29t.
Find the initial population size of the species and the population size after 10 years. Round your answers to the nearest whole number as necessary.

Answers

Answer:

The initial population is 200

The population after 10 years is 687

Step-by-step explanation:

Given

[tex]P(t) =\frac{800}{1+ 3e^{-0.29t.}}[/tex]

Solving (a): The initial population

Here:

[tex]t = 0[/tex]

Substitute 0 for t in P(t)

[tex]P(0) =\frac{800}{1+ 3e^{-0.29*0}}[/tex]

[tex]P(0) =\frac{800}{1+ 3e^{0}}[/tex]

[tex]P(0) =\frac{800}{1+ 3*1}[/tex]

[tex]P(0) =\frac{800}{1+ 3}[/tex]

[tex]P(0) =\frac{800}{4}[/tex]

[tex]P(0) =200[/tex]

The initial population is 200

Solving (b): Population after 10 years.

Here

[tex]t = 10[/tex]

Substitute 10 for t in P(t)

[tex]P(10) =\frac{800}{1+ 3e^{-0.29*10}}[/tex]

[tex]P(10) =\frac{800}{1+ 3e^{-2.9}}[/tex]

[tex]P(10) =\frac{800}{1+ 3*0.055}[/tex]

[tex]P(10) =\frac{800}{1+ 0.165}[/tex]

[tex]P(10) =\frac{800}{1.165}[/tex]

[tex]P(10) =687[/tex] -- approximated.

The population after 10 years is 687

2 divided by negative 1/5

Answers

Answer: 10

you have to find a common denominator between two and five which is 10. therefore making the number 2 into the fraction 20/10 and finding the common denominator of 1/5 makes it now 2/10. now divide 20 by 2 which gets you 10. and dividing 10 by 10 gets you. therefore making the new fraction 10/1 which is equal to 10. :)

aight anyone plz help lol

Answers

Answer:

okkokokokokokoookkijoiig

It's 8/5 because 1.5+3 = 5+3

Walmart has soft drinks on sale: 4 packs for $20 Kroger has soft drinks on sale : 3 packs for $18 Which store has the better deal? why?

Answers

Answer:

Walmart has the better deal.

Step-by-step explanation:

If you divide the amount of money and the packs they sell, Walmart is cheaper.

Walmart: 20/4 = 5

Kroger: 18/3 = 6

Answer:

It is Walmart 4 packs for 20$

Step-by-step explanation:

Aliyah $24 to spend on seven pencils. After buying them she had $10.how much did each Pencil cost?

Answers

Answer:

2 dollars

Step-by-step explanation:

24-10=14

7 pencils cost 14 dollars

1 pencil costs 2 dollars

please give me brainliest!!

24 - 10 = 14
Divide by 7 = 2
1 Pencil = $2

benjamin believes that 1/2% is equivalent to 50%. Is he correct? Why or why not?​

Answers

Answer:

yes because 1 divided by 2 is 0.5 which can be converted to 50%

If f(x) = 2x + 1, and
g(x) = x – 3, then
f(g(x)) = [ ? ]x + [ ]

Answers

Answer:

f(g(x))=2x-5

Step-by-step explanation:

f(g(x))=2(x-3)+1

Identify the terms. Then identify the coefficients of the variable terms of the expression. (Enter your answers as a comma-separated list.)

5√3x^2+4

Answers

Answer:

The set of coefficients asociated with the given polynomial in ascending order is [tex][C] = \{4,0,5\sqrt{3}\}[/tex].

Step-by-step explanation:

Let [tex]y = 5\sqrt{3}\cdot x^{2}+4[/tex], which is a polynomic function, defined as:

[tex]y = \Sigma_{i=0}^{n}c_{i}\cdot x^{i}[/tex] (1)

Where:

[tex]c_{i}[/tex] - i-th Coefficient.

[tex]x^{i}[/tex] - i-th Power.

[tex]n[/tex] - Grade of the polynomial.

We notice that given polynomial has degree 2 and can be rewritten by applying this definition:

[tex]y = 4 + 0\cdot x + 5\sqrt{3}\cdot x^{2}[/tex]

Then, the set of coefficients asociated with the given polynomial in ascending order is:

[tex][C] = \{4,0,5\sqrt{3}\}[/tex]

Please help! Or if someone can explain how to find the answer

Answers

Answer:

If the equation is in the form, ax + b = c, where x is the variable, you can solve the equation as before. First “undo” the addition and subtraction, and then “undo” the multiplication and division. Solve 3y + 2 = 11. Subtract 2 from both sides of the equation to get the term with the variable by itself.

Answer: x = 20

All this is exaple hople it help

the answer to this is20, hope it helps <3

the equation of a circle whose center is (-5, 3) and whose radius is 6?

Answers

Answer:

Center:(-5,3)

The center of a circle is a point from which all points on a circle are the same distance.

Radius:6

The radius of a circle is the length of a line segment from its center to its perimeter.

The radius is typically denoted as "r" or "R".

Diameter:12

The diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. It can also be defined as the longest chord of the circle.

Circumference or (or Permieter) = 2*π*R = 2*3.14*6 = 37.6991118430775

The circumference of a circle is the distance around it.

Area:113.097335529233

Area of a Circle is the amount of space occupied by the circle.The area of a circle is p times the radius squared, which is written: A = π*R2.

math Finding the root (30points!!!!!)

Answers

Answer:

p = [tex]\frac{12}{7}[/tex]

Step-by-step explanation:

let the root be α then the other root is 3α

The sum of the roots of a quadratic equation is

α + 3α = - [tex]\frac{b}{a}[/tex] = - [tex]\frac{-8}{7}[/tex] = [tex]\frac{8}{7}[/tex]

Thus 4α = [tex]\frac{8}{7}[/tex] ( divide both sides by 4 )

α = [tex]\frac{2}{7}[/tex]

The product of the roots of a quadratic equation are

α × 3α = [tex]\frac{c}{a}[/tex] = [tex]\frac{p}{7}[/tex], that is

3α² = [tex]\frac{p}{7}[/tex] ← substitute value of α

3 × ([tex]\frac{2}{7}[/tex] )² = [tex]\frac{p}{7}[/tex]

3 × [tex]\frac{4}{49}[/tex] = [tex]\frac{p}{7}[/tex]

[tex]\frac{12}{49}[/tex] = [tex]\frac{p}{7}[/tex] ( cross- multiply )

49p = 84 ( divide both sides by 49 )

p = [tex]\frac{84}{49}[/tex] = [tex]\frac{12}{7}[/tex]

HELP PLEASE ASAP!!!!!

Answers

Answer:

1 1/2 cups of flour :))

Step-by-step explanation:

Answer:

2 5/8 cups ur welcome

you convert  1 3/4 to improper fraction so 7/4. then divide 7/4 by 2 which is 0.875. 0.875+7/4= 2.625 which is 2 2/3.

Melissa runs a mile in 8 minutes 30 seconds. At this rate, how many full miles will she run in 45
minutes?

Answers

Answer:

Time measure: 8 miles = 30 seconds We are given 45 minutes × 60 seconds /30= 90 miles

Which expression simplifies to 8x^5?

Answers

Answer:

32768x^5

Step-by-step explanation:

[tex] {8x}^{5} [/tex]

...

Solve ASAP. Giving 28 points.

Answers

Answer:

where is the question

Step-by-step explanation:

Answer:

what's the question I can't see it

FIND THE MEASURE OF ANGLE 2 PLEASE HELP ASAP!

Answers

Answer:

We know that the figure has a symmetry

angle 1 = angle 2

angle 1 =180°-(18°+90°) = 180° - 108°=72°

Therefore, angle 2 =72°.

If one line has a slope of -5/4 what would the slope of a line
parallel to that line?

Answers

Answer:

[tex]-\frac{5}{4}[/tex]

Step-by-step explanation:

Parallel lines always have equal slopes. Therefore any parallel line to a given line will share the same slope.

Answer:

-5/4

Step-by-step explanation:

Parallel lines have the same slope but a different y intercepts, because if you think about parellel lines, they'll never intersect-- if two lines have the same slope, that means they won't be able to intersect. However, if they have the same slope, they would be coinciding (the same). That's why the y intercepts are different.

Since the slope of the first line is -5/4, the slope for the line parallel to it would also be -5/4

hope this helps!

given each pair of similar triangles find the missing value. of LJK=PQR find x

Answers

Answer:

1

Step-by-step explanation:

Sharon bought 6 new folders for $1.15 each and 15 pens that were priced at 5 for $4.75. What is the total amount she spent?

Answers

Answer:

$21.15

Step-by-step explanation:

6 x 1.15 = 6.9 (because we're working with money, we'll add a zero at the end for the ones place) = 6.90

15/5 = 3 then 3 x 4.75= 14.25

14.25 + 6.90 = 21.15

Hope this helped <3

Answer:

$21.15

Step-by-step explanation:

Total Folder Amount: $1.15 • 6 = $6.90

Total Pen Amount: $4.75 • 3* = $14.25

*She bought 15 pens. The pens were 5 pens for $4.75. 15÷5=3*

$14.25 + $6.90 = $21.15

An Olympic diver is competing for a metal. His height in meters above the water can be modeled by the function
f (x)= -4.9x^2+9.8x+14.7f(x)=−4.9x +9.8x+14.7
where is is the time in seconds after he begins the dive.

After how many seconds does he reach the water?


What domain makes sense for this scenario?

Answers

Answer:

-4.9x²+75x=-4.9x+50x+38

75x=50x+38

25x=38

x=1.52

1.52 -4.9(1.52)²+75(1.52)=102.67904≈102.7 meters

Double check: -4.9(1.52)²+50(1.52)+38=102.67904≈102.7. Yes.

102.7 meter.

Step-by-step explanation:

Find the midpoint of the segment with the following end points (10,5) and (6,9)

Answers

Answer:

The mid-point between the endpoints (10,5) and (6,9) is:

[tex]\left(x,\:y\right)=\left(8,\:7\right)[/tex]

Step-by-step explanation:

Let (x, y) be the mid-point

Given the points

(10,5)(6,9)

Using the formula to find the mid-point between the endpoints (10,5) and (6,9)

[tex]\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

Here:

[tex]\left(x_1,\:y_1\right)=\left(10,\:5\right),\:\left(x_2,\:y_2\right)=\left(6,\:9\right)[/tex]

Thus,

[tex]\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

[tex]\left(x,\:y\right)=\left(\frac{6+10}{2},\:\frac{9+5}{2}\right)[/tex]

[tex]\left(x,\:y\right)=\left(8,\:7\right)[/tex]

Therefore, the mid-point between the endpoints (10,5) and (6,9) is:

[tex]\left(x,\:y\right)=\left(8,\:7\right)[/tex]

Only valid answers get points, first correct answer gets brainliest
3n - 12 = 5n - 2
how many solutions?

Answers

One solution because n=-5
There’s only one solution for this problem
3n-12=5n-2
+2. +2
3n-10=5n
-3n. -3n
-10=2n
2. 2
-5 = n

The dimensions of a cylindrical water tank are shown below.
18 yd
o
58,320 yd
3,240 yd
60 yd
O
19,440 yd
15,270 yd3

Which of the following is the best estimate of the volume of
this water tank?

Answers

umm honestly it would be 58,320 yd

9. Ricardo rides his bike between 90 and 120 miles over a 5 day period. Which is a
reasonable number of miles Ricardo rides each day?
a 13
b. 17
C. 22
d. 25

Answers

A reasonable number of miles Ricardo rides each day is C.22

Please help asap
The sales tax rate is 10%. If Carla buys a handbag priced at $90, how much tax will she
pay?

Answers

Answer: $9

Step-by-step explanation:

10 percent of 9 or 90 broken into 10 parts is 9 also 90 divided by 10 is 9

Help ASAP due in 1 min

Answers

Answer:

C.) 2/3

Step-by-step explanation:

The line is divided into three sections, and we know the three sections combined equate to 1.

That means that each section is 1/3. The dot is placed on the second section.

That's how you know the fraction represented on the number line is 2/3.

Answer:

1/3 i think

Step-by-step explanation:

Find the slope and y-intercpet. (Hint: Rewrite the equation in slope-intercept form first.)
16x - 4y - 12
m
b
Blank 1
Blank 2:

Answers

Answer

y=4x-3

m=4 or 4/1

b=-3

What is the x and y value in -3x + y = 4 and -9x + 5y =-1

Answers

Answer:

y=291

Step-by-step explanation:

I did the math got 291.

Answer:

-9x + 5y =-1

x-intercept:   ( 1 9 , 0 )

y-intercept:  ( 0 , − 1 5 )

-3x + y = 4

x-intercept:  ( − 4 3 , 0 )

y-intercept:  ( 0 , 4 )

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