What are the solutions to (x + 7)2 = 81?
O A. -74 and 88
O B-2 and 16
O C. -88 and 74
O D. -16 and 2
Please answer as fast as possibleee !!
Think of the binomial squared as its own squared term.
Since the squared term is isolated, we can take the square root of both sides.
On the left, the square root removes the square and we have x + 7.
On the right, the square root of 81 is ± 9.
*Always use plus or minus when taking square root of both sides*
So we have x + 7 = ± 9.
Now, split things up into two separate equations.
Solving each equation from here, we find that x = -2 or x = 16.
We can write this as {-2, 16}.
The solutions to the equation [tex](x + 7)^2 = 81[/tex] are x = 2 and x = -16.
The correct option is D.
To find the solutions to the equation [tex](x + 7)^2 = 81[/tex] , we can start by taking the square root of both sides of the equation. However, since we have a squared term, we need to consider both the positive and negative square roots.
Taking the square root of both sides, we have:
[tex]x + 7 = \pm \sqrt{81}[/tex]
Simplifying the right side, we get:
x + 7 = ±9
Now, we can solve for x by subtracting 7 from both sides:
x = -7 ± 9
This gives us two possible solutions:
x = -7 + 9 = 2
x = -7 - 9 = -16
Hence, the correct answer is option D: -16 and 2.
To learn more about the quadratic equation;
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The ratio of boys to girls in the 10th grade at Hazlehurst High School is 5:7. If there are 600 students
in the 10th grade, how many are girls?
Answer:
350
Step-by-step explanation:
Total ratio: 12
600/12
each ratio has 50 students
that means the boys are 5 * 50= 250
the girls are 7 * 50 =350
The following tables represent a function and its inverse. Compare the functions. h(x) h–1(x)
Answer:
A, D, E
Step-by-step explanation:
for a function in its inverse, the domain and range are switched.
Answer:
ADE
Step-by-step explanation:
ADEADEADEADE
find two consecutive odd integers whose sum is 16
Answer:
7, 9
Step-by-step explanation:
The average of the two is the even integer between them:
average = sum/2 = 16/2 = 8
The two odd integers are 7 and 9.
_____
In this case, the divisor for the average is 2, because there are 2 integers in the sum.
{(-1,1),(7,4),(3,0),(-5,-1)}
Is this a relation or a function
is 0.085 greater or lesser than 85 thousandths
Answer: they are they same
Step-by-step explanation:
Any one pls...............
Answer:
151.9 or 15.2
Step-by-step explanation:
9=18 divied by i need helps
Answer:
18 divided by 9 = 2 is that what you need help with?
Step-by-step explanation:
I can't understand what this means, but here are some answers if they help.
9 divided by 18 would be (one half, or 1/2)
9 divided by a number to get 18 would be again, (one half, or 1/2)
18 divided by 9 is (2).
If f = 40 cm and g = 41 cm, what is the length of e?
A. 9 cm B. 57 cm C. 11 cm D. 13 cm
Answer:
13 cm
Step-by-step explanation:
because its represents the line parts
Answer:
The answer is 9
Find the missing length.
Answer:
4.8
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that the relation between angles and sides of a right triangle is ...
Tan = Opposite/Adjacent
tan(75°) = 18/x
Solving for x gives ...
x = 18/tan(75°)
x ≈ 4.8
PLZ!!!! HELP ASAP!!! Problem is in the picture
Step-by-step explanation:
pythagoras theorem: c²=a²+b²
Where c= longest side of a right angle triangle
AB= 6+r = c
AD= 12 =a
CD= r =b
(6+r)² = 12²+ r²
36+12r+r² =144 +r²
12r+r²-r²=144-36
12r=108
r= 108/12
r=9
Drag & Drop: Order these rational numbers from least to greatest
Answer:
-9.3
-7.2
2.05
2.3
4.06
4.32
4.35
21.3
Step-by-step explanation:
negatives go 1st. the bigger the number would be positive means its a smaller negative. then you just order the positive numbers least to greatest
No sé nada de esto, solo quiero los puntos, así que no se enoje conmigo por tener que publicar algunas preguntas, traduzca esto y, a cambio, responderé una pregunta realmente seria. entonces byeeeeeeee
PLS HELP IM TIMED!!!!!!
What value should go in the empty box to complete the calculation for finding the product of 23.456 x 0.86
Answer:
1,876,480!
Step-by-step explanation:
Answer:
The answer is 1,876,480
Step-by-step explanation:
23,456
x .86
If we calculate the conventional way,
This gives us 23,456 * (6 + 80)
= (23,456 * 6) + (23,456 * 80)
First, we multiply 23456 by 6, the figures obtained will be 140736 (which is given in the question)
Next, we multiply 23456 by 80, the figures obtained will be 1,876,480
The third option is the correct answer
I hope this helps!!
Challenge question. Develop a formula for calculating the perimeter of a rectangle whose length is exactly twice its width?
Answer:
A
=
200
f
t
2
Explanation:
Let the width be
x
, then the length is
2
x
Perimeter
=
x
+
2
x
+
x
+
2
x
=
60
6
x
=
60
x
=
10
←
this is the width
2
x
=
20
←
this is the length
Area
=
l
×
b
A
=
20
×
10
A
=
200
f
t
2
The area is
200
f
t
.
2
Explanation:
Always draw a picture for this type of question to help you visualize what's going on. When you do that, label the shorter side of your rectangle
w
. Label the longer side
l
=
2
w
, or just
2
w
, since the length is twice the width.
Add up the sides and set them equal to
60
:
w
+
w
+
2
w
+
2
w
=
60
6
w
=
60
6
w
6
=
60
6
w
=
10
So the width is 10 ft, and the length that is two times as long is 20 ft.
The formula for area is length times width, so plug in our new values:
l
⋅
w
=
20
⋅
10
=
200
f
t
.
2
Hope that helps!!
5x - 3x - 2
Completely factor each of the following expressions
Answer:
2x−2
Step-by-step explanation:
0.005 is 1/10 of 0.05.
Answer:
True.
Step-by-step explanation:
Let 0.005 is x times of 0.05. It can be solved as follows :
0.005 = 0.05x
Dividing both sides by 0.05,
[tex]\dfrac{0.005 }{0.05}=\dfrac{0.05}{0.05}x\\\\x=\dfrac{0.005 }{0.05}\\\\x=0.1\\\\\text{or}\\\\x=\dfrac{1}{10}[/tex]
So, 0.005 is 1/10 of 0.05. Hence, the given statement is true.
x-9=y+2
is it linear or nonlinear
Answer:
x - 9 = y +2 => y = x - 11
It is linear because the exponent of x number is equal to 1.
Manuel noticed that his cellphone bill reflected a monthly fee of
$40 as well as a charge for $0.05 per minute on the phone.
Manuel lost his August phone bill, but remembers that he paid
$48 total for the month. How many minutes did he spend on the
phone in August? Fill in the blank with a number only.
Answer:
He spent on 16 minutes
Step-by-step explanation:
Given
[tex]Base\ Amount = \$40[/tex]
[tex]Charge = \$0.5[/tex] per minute
[tex]Total = \$48[/tex]
Required
Determine the number of minutes
Let the number of minutes be n
If 1 minute costs $0.5
n minutes would cost $0.5n
The relationship between the given parameters is
[tex]Total = Base\ Amount + Charges[/tex]
Substitute values for each of the above
[tex]48 = 40 + 0.5n[/tex]
Solve for 0.5n
[tex]0.5n = 48 - 40[/tex]
[tex]0.5n = 8[/tex]
Solve for n
[tex]n = 8/0.5[/tex]
[tex]n = 16[/tex]
He spent on 16 minutes
Farmer Bauder can't remember how many pigs and how many chickens he has. He knows that together the animals have 8 heads and 22 legs. How many pigs and how many chickens does farmer Bauder have?
Answer:
He has 3 pigs and 5 chickens
Step-by-step explanation:
Because pigs have 4 legs and 3 pigs would be 12 legs and then chickens have 2 legs so 5 chickens times 2 would be 10. Therefore he has 3 pigs and 5 chickens
angle A is a compliment of angle b and m angle b = (6-5x) degrees and m angle a =(7-2x)degrees find m angle a
Answer:
61
Step-by-step explanation:
A + B = 90
6 - 5x + 7 - 2x = 90
13 - 7x = 90
- 7x = 90 - 13
- 7x = 77
- x = 77 / 7
x = - 11
A: 6 - (5 * - 11) = 6 + 55 = 61
B: 7 - (2 * -11) = 7 + 22 = 29
Together they equal 90 as they should.
What is 6 quarts converted into pints
Answer:
48 pints
Step-by-step explanation:
8 pints in a quart
8x6 = 48
Answer:
12 pints
Step-by-step explanation:
for every 1 quart, it is equal to 2 pints, so 6x2=12
What value should go in the empty boxes to complete the calculation for finding the product of 0.37 * 0.42
Answer:
0.1554
Step-by-step explanation:
.37x.42=.1554
Find the sample standard deviation:
2 6 15 9 11 22 1 4 8 19
A) 6.3.
B) 7.1.
C) 6.8.
D) 2.1
Answer:
B. 7.1Step-by-step explanation:
Given the sample data 2 6 15 9 11 22 1 4 8 19, before we can get the standard deviation, we need to first calculate the mean.
mean = 2 +6 +15 +9 +11 +22 +1 +4 +8 +19/10
mean = 97/10
mean = 9.7
Standard deviation for ungrouped data is expressed using the formula;
[tex]S = \sqrt{ \dfrac{\sum(x-\overline x)^2}{n-1} }[/tex]
[tex]\overline x \ is\ the \ mean\\n \ is \ sample \ size[/tex]
[tex]S = \sqrt{\frac{(2-9.7)^2+(6-9.7)^2+(15-9.7)^2+(9-9.7)^2+(11-9.7)^2+(22-9.7)^2+(1-9.7)^2+(4-9.7)^2+(8-9.7)^2+(19-9.7)^2}{10-1} }\\ S = \sqrt{\frac{(-7.7)^2+(-3.7)^2+(5.3)^2+(-0.7)^2+(1.3)^2+(12.3)^2+(-8.7)^2+(-5.7)^2+(-1.7)^2+(9.3)^2}{10-1} }\\\\S = \sqrt{\dfrac{59.29+13.69+28.09+0.49+1.69+151.29+75.69+32.49+2.89+86.49}{10-1} }\\\\\\S = \sqrt{\dfrac{452.1}{9} }\\\\S = \sqrt{50.23}\\ \\S = 7.08\\\\S \approx 7.1[/tex]
Hence the standard deviation of the sample data is 7.1
Abdul invests $5,000 at an interest rate of 4%, compounded quarterly. How much is the investment worth at the end of 3 years?
O A. $624.32
O B. $5624.32
C. $634.13
O D. $5634.13
Hank is a salaried plus commission employee. Hank has a monthly salary of $2,500 and earns 5.5% commission on all
sales. Which of the following expressions represents Hank's total earnings in one month if he has $6,300 in sales?
a. 2,500 + (0.055)(6,300)
b. 2,500 + (5.5)(6,300)
C. (2,500) (5.5) + 6,300
d. (2,500) (0.055) + 6,300
Please select the best answer from the choices provided
B
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Answer:
the answer is A.
Step-by-step explanation:
I just took the test
what is the quotient of 9 and 3
Answer:
9/3=3
Step-by-step explanation:
Is 7 a solution to 4x=21
Answer:
No
Step-by-step explanation:
7 would be the solution to 3x=21, the solution to 4x=21 is 21/4 or 5.25.
Melanie is reading a book that has 335pages. She has already read 111pages of the book and will read an additional 16 pages
per night. Find how many more nights it will take Melanie to finish the book.
3.8 in a fraction usin intergers
Answer:
38/10
Step-by-step explanation:
hope this helps uwu
Tim's grandfather lends him $105 to buy
a new cell phone. Each week Tim pays hls
grandfather $15. How many weeks will it
take Tim to pay back all the money?
Need ASAP
Answer:
7 weeks.
Step-by-step explanation:
Divide 105 by 15, after working with all the numbers you should get 7. Your answer is 7 weeks! Hope it helped!
OwO
