Choose an equation that would be used to solve
0 = -x2 + 10X-8
(x + 25)2 = -8
O(x - 5)2 = 17
(x - 10)2 = 25
Answer:
(x - 5)² = 17
Step-by-step explanation:
Given
0 = - x² + 10x - 8 ( multiply through by - 1 to clear the leading negative )
x² - 10x + 8 = 0 ( subtract 8 from both sides )
x² - 10x = - 8
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 5)x + 25 = - 8 + 25
(x - 5)² = 17
Please I need this ASAP 15 points
Answer:
The two bowling alleys cost the same when there are 10 people in the group.
Step-by-step explanation:
Bustlin' Bowling first:
$35 base price and then $2 for each person. You can model that with b = 35 + 2x where b is the price and x is the guest number.
Grand Entertainment next:
$20 base price and then $3.50 for each person. You can model that with g = 20 + 3.5x where g is the price and x is the guest number.
So the question asks for the number of people (or what's x) that makes the cost of both bowling places equal.
In variables, it's asking when b = g, what is x?
Starting with b = g, we can replace those with the actual equations. If b = 35 + 2x and g = 20 + 3.5x, then b = g is the same as 35 + 2x = 20 + 3.5x.
I think you know how to solve that (because the trickiest part is usually translating the words into a solvable equation) but in case you don't, here's how:
35 + 2x = 20 + 3.5x
Subtract 2x from both sides.
35 = 20 + 3.5x - 2x
35 = 20 + 1.5x
Subtract 20 from both sides.
35 - 20 = 1.5x
15 = 1.5x
Divide both sides by 1.5.
15/1.5 = 1.5x/1.5
10 = x
Sooo, the answer is 10 people.
Please mark as Brainliest! :)
Needs to be done today plz help!!
The James County Fair costs $11.00 to get in and $1.50 per ride, while the Moore County Fair costs $5.00
to get in and $3.00 per ride. Which equation could be used to determine how many rides you would need
to go on for both fairs to be of equal value?
Answer:
lvkykcjfcj
Step-by-step explanation:
4x + 8 = 36 linear equations
Answer:
7
Step-by-step explanation:
4x=36-8
4x=28
x=7
please help me with the question
Answer:
4.08, 480, 4080, 4800
Step-by-step explanation:
A bear was climbing a tree. It took a few steps forward and then slipped a few steps backward. After taking 12 total steps of equal distance, it was back at its starting position. How many steps did the bear take in the forward and backward directions? (1 point)
7 steps forward and 5 steps backward
4 steps forward and 8 steps backward
5 steps forward and 7 steps backward
6 steps forward and 6 steps backward
Answer:
it would be 6 and 6 since it states equal distance and it also says a few forward and a few backward. It makes it sound like this was an equal amount each way
Step-by-step explanation:
Answer:
6 steps forward and 6 steps backward
Step-by-step explanation:
If the bear ended up back at its starting position, this means that the distances forward and backward have to be the same.
Since 6 = 6, this answer is correct.
The bear would have to take the same amount of steps forward and backwards.
Please help!! There’s 2 questions, Explain step by step pls :)
Answer:
I'm late but the answer to the question on the left is 21 and the answer to the question on the right is 3.
Step-by-step explanation:
Remember that you have to complete the equations in order of PEMDAS.
19-3×4÷(-6)
For this equation, you would do 3×4 first (which equals 12) then divide that by -6 (Which equals - 2) and finally you would subtract that from 19. 19 - (-2)= 21
6(-8) / -12 - 1
For this equation you would do 6(-8) first (which equals -48) then divide that by -12 (which equals 4) and finally subtract 1 from that 4. 4-1=3
Can someone please help me with this problem
Answer:
1. 35
2. 145
3. 55
4. 90
5. 145
Step-by-step explanation:
1. 35: angle 1 and 2 are a linear pair (meaning it is in one line and adds to 180). Since we know angle 2 is 145, ∠1 = 180 - 145
∠1 = 35
2. 145: ∠7 = ∠2 because they are alternate angles and alternate angles are equal
3. 55: ∠7 = ∠5 + ∠4 because vertically opposite angles are equal. We know that ∠5 = 90, hence ∠4 would equal 145 - 90 = 55
4. ∠5 = 90. It is given
5. 145: ∠9 = ∠2 because they are vertically opposite
Find the value of (4/25)^-1/2
The value of the given exponent is [tex]\frac{5}{2}[/tex]
Given:
The exponent = [tex](\frac{4}{25})^{\frac{-1}{2}}[/tex]
To find:
The value of a given exponent
Solution:
[tex](\frac{4}{25})^{\frac{-1}{2}} = ?[/tex]
Using the identity of an exponent : [tex](\frac{m}{n})^{x} = \frac{m^{x}}{n^{x}}[/tex]
[tex](\frac{4}{25})^{\frac{-1}{2}} = \frac{(4)^{(\frac{-1}{2})}}{(25)^{(\frac{-1}{2})}}\\[/tex]
Using the identity of an exponent : [tex]a^{-x} = \frac{1}{a^x}[/tex]
[tex]=\frac{(25)^{(\frac{1}{2})}}{(4)^{(\frac{1}{2})}}\\=\frac{(25)^{(\frac{1}{2})}}{(4)^{(\frac{1}{2})}}\\=\frac{((5)^2)^{(\frac{1}{2})}}{((2)^2)^{(\frac{1}{2})}}\\[/tex]
Using the identity of an exponent: [tex](a^{n})^m=a^{m\times n}[/tex]
[tex]=\frac{5^{(2\times \frac{1}{2})}}{2^{(2\times \frac{1}{2})}}\\=\frac{5^1}{2^1}\\=\frac{5}{2}[/tex]
The value of the given exponent is [tex]\frac{5}{2}[/tex].
Learn more about exponents here :
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Identify the like terms in this expression: 4x^2 + 2x - 6x + 3y
Answer:
the like terms here are the x and the + symbol.
Step-by-step explanation:
If a part of the equation appears more than once that is a like term.
Tell whether the indicated angles are adjacent.
Answer: 3 would be a adjacent angle
Step-by-step explanation:
They don’t overlap
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In solving the equation, 2x + 5 = 33, the following steps and reasons are given.
Steps
Reasons
1. 2x + 5 = 33
1. Given
2. (2x+5)-5-33-5
2. Subtraction property of equality
3. 2x +(5-5) -33-5
3. ?
4. 2x + 0 = 28
4. Additive inverse property
5. 2x - 28
5. Identity property of addition
2x 28
6.
6. Division property of equality
2 2
7. x=14
7. Substitution
+
Which of the following applied properties correctly justifies step #3?
O Associative Property of Addition
O Commutative Property of Addition
10
O Subtraction Property of Equality
Additive Inverse Property
Answer:
i think it is Associative Property of Addition
Step-by-step explanation:
Will mark brainliest
Answer:
B or 32 m/s is the correct answer have a nice day! :)
Answer:
That baseball is thicc.
What’s -24+16 divided by -4
Answer:
2
Step-by-step explanation:
-24 + 16 = -8
-8/-4 = 2
REMEMBER a - and a - = a +
or a negative and a negative equals a positive
Ccffdndmsbsmsvsnsbsdndn
Answer:
what is this tell me it is for asking ansee
The perimeter of PRST is 10 more than 5(RS). If PR=26, find RS.
Answer:
RS = 14
Step-by-step explanation:
Perimeter = 26 + 26 + PT + RS
We know that PT and RS are equal to each other so I changed the equation to 26 + 26 + x + x = 10 + 5x and then I got x by itself and the integer on one side 42 = 3x, so 14 = x
The value of RS will be 14 for the given parallelogram.
What is a parallelogram?A basic quadrilateral with two sets of parallel sides is known as a parallelogram.
A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size.
There are 4 types of parallelograms, including 3 special types. The four types are parallelograms, squares, rectangles, and rhombuses.
Given the parallelogram where TS ║ PR and both are equal
Line TP ║ SR so it means TP = SR
Let's say
TP = SR = x
Now,
The perimeter of a parallelogram is 10 more than 5(RS)
So,
PT + TS + SR + RP = 5(RS) + 10
Now since TP = RS = x
So,
x + TS + x + RP = 5x + 10
5x - 2x = TS + RP - 10
x = (TS + RP - 10)/3
Now,
TS = RP = 26
So,
x = (26 + 26 - 10 )/3
x = 42/3
x = 14
Hence "The value of RS will be 14 for the given parallelogram".
Learn more about parallelograms here
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If you invest $25.00 at 6% interest compounded monthly,
how much will you have after 1 year?
A pair of sneakers is on sale for 20% off. The original price is $100. What is the price of the sneakers with the discount?
Answer:
it will be $80.00 and your saving $20.00
Step-by-step explanation:
Austin shops at Surfer Joe's Surf Shop before going to the beach. He buys 2 T-shirts, a pair of board shorts, and 5 towels.
If he gives the cashier $80.00, how much change will Austin get back?
Answer:
$2.86 is what he got back
32+8x
Simplify the following expression using the distributive property:
4.
(a) 28 + 4x
(c) 8 + 2x
I
(b) 36 + 12x
(d) 10x
Would it be answer b? :(
The temperature was –30 C last night. It is now -40 C. What was the
change in temperature?
Answer:
-10 C
Step-by-step explanation:
It started out as -30 degrees, then went down to -40 degrees. Based on this, we can correct that if we add -10 degrees to -30, it will become -40 C.
Answer:
temperature decreased
more
what is -8(4k+2)=112
Answer:K= -4
Step-by-step explanation:
Maria bicycled every day for 14 days. She traveled 294 miles. How many miles did she travel per day?
Answer:
Maria bicycled 21 miles per day.
Step-by-step explanation:
294/14=21
Hope this helps!
what is 4,3125 as a fraction in the simplest form????
Answer:
0.00128
Step-by-step explanation:
4
3125
is already in the simplest form. It can be written as 0.00128 in decimal form (rounded to 6 decimal places).
Steps to simplifying fractions
Find the GCD (or HCF) of numerator and denominator
GCD of 4 and 3125 is 1
Divide both the numerator and denominator by the GCD
4 ÷ 1
3125 ÷ 1
Reduced fraction:
4
3125
Therefore, 4/3125 simplified to lowest terms is 4/3125.
Fifty-seven and 100 dollars as a numeral is which of the figures below?
a. $56.70
c. $34.50
b. $53.40
d. $57.50
Answer:
56.70
Step-by-step explanation:
simplify 4y - 8y2 + 9y - 7y2.
Answer:
D is the answer
Step-by-step explanation:
4y - 8y² + 9y - 7y² ( collect like terms)
13y - 15y²
Hope this helped!!!
Answer:
-15y^2+13y, option d
Step-by-step explanation:
Technically the term with the highest exponential value should be in the front, so that's why I wrote it like that... but d is correct
What is the missing table value?
4 inches to centimeters
Answer:
the answer is 10.16 Hope This Helps!!!
Step-by-step explanation:
because 7.62+2.54= 10.16
Answer:
10.16
Step-by-step explanation:
If g(x)=−3x^2+2x−7, Find g(4)
Answer:
-143
Step-by-step explanation:
We have to substitute 4 into x.
g(4) = -3(4)^2 + 2(4) - 7
g(4) = -12^2 + 8 - 7
g(4) = -12^2 + 1
-144 + 1
-143
-47
Step-by-step explanation:
= -3(4)^2 +2(4) -7
= (-3×16) +8 - 7
= -48+8-7
= -40-7
= -47
PLS HURRY!!!!<3 A swimming pool has about 603 cubic feet of water. The pool liner has a small hole and is leaking at a rate of 1.5 cubic feet each hour. Ruby wrote the equation
V(h) = -1.5h + 603 to represent the scenario. Describe what each variable represents in the function, and how they relate to each other.
Answer:
hi did you find the answer ? if so can you please help me ?
Step-by-step explanation:
Answer:
Ruby function notation V(h) describes the volume of the pool after h number of hours. Hours is the independent variable and the total volume as a dependent variable
Step-by-step explanation:
I got a 100%