Use completing the square to solve for x in the equation (x+ 7)(x-9)=25,
OX= 4 or 6
O X-2 or 14
O x=1V89
O x=1 V87
Answer:
3rd option
Step-by-step explanation:
(x + 7)(x - 9) = 25 ← expand left side using FOIL
x² - 2x - 63 = 25 ( add 63 to both sides )
x² - 2x = 88
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 1)x + 1 = 88 + 1
(x - 1)² = 89 ( take square root of both sides )
x - 1 = ± [tex]\sqrt{89}[/tex] ( add 1 to both sides )
x = 1 ± [tex]\sqrt{89}[/tex]
Write a system of linear inequalities represented by the graph.
Answer:
x=2 ,. y=y -3
Step-by-step explanation:
I hope it helps
The equations of the lines given in the graph will be y = 3x and y =-5x -2.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
For line one the points are:-
( 1,3 ) and ( 0,0)
Slope = ( 0 - 3) / ( 0 - 1 )
Slope = 3
The equation will be,
y = 3x
For line two the points are:-
(-1,3) and (0,-2),
Slope = ( -2 - 3 ) / ( 0 + 1)
Slope = -5
The y-intercept will be,
y = mx +c
c = -2
The equation can be written as:-
y = -5x - 2
To know more about an equation of the line follow
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Graph the linear equation.
3x−4y=12
school: k 12
Answer: slope : 3/4 points: (0,-3) (4,0)
Step-by-step explanation:
i looked it up
Answer:
look at graph
Step-by-step explanation:
What is the answer plsss say the CORRECT answer
Answer: 40
Step-by-step explanation:
Given that 35.8 x 4.23= 151.434
write down a division sum with an answer of 423.
Answer:
151434/358 = 423
Step-by-step explanation:
Every product with non-zero factors can be written as an equivalent division relation.
a·b = c ⇒ a = c/b
Here, we have 35.8 × 4.23 = 151.434. This can be written as the equivalent ...
4.23 = 151.434/35.8
We can multiply this by 100 to get a division relation with a quotient of 423:
423 = 15143.4/35.8
If we want, we can move the decimal points another place to the right to get ...
151434/358 = 423
WHOEVER ANSWERS FIRST AND CORRECTLY GETS BRAINLIEST!
9y + 2 = 58; {4,5,6}
Please show your work.
A, Y=4
B, Y=5
C, Y=6
Answer:
Im pretty sure c Y=6
Step-by-step explanation:
9y+2=58
Subtract 2 from both sides.
9y=58−2
Subtract 2 from 58 to get 56.
9y=56
Divide both sides by 9.
y= 56/ 9 Which is Also 6.2
one yard is the same as A.12 inchs. B.24 inches. C.3 feet. D.1 foot
Answer: C. 3 feet
Step-by-step explanation:
1 yard is equivalent to 3 feet.
Solve the following:
2x - 7 = x + 3
4 3
Answer:
x = 10
Step-by-step explanation:
2x - 7 = x + 3
=> 2x - 7 = x + 3
=> x = 10
Therefore, x = 10.
Hoped this helped.
Answer: x=350
Step-by-step explanation:
Melinda creates jewelry. After purchasing supplies, she had $150 left in her account. She sells five bracelets and a necklace making her new account total $235. If the necklace sold for $22. 50, which equation can be used to determine the sales price of the bracelets?.
The equation that can be used to determine the sales price of the bracelets is $22.5
Amount in her account = $150
Amount in her account after sales = $235
Change in account balance = $235 - $150
= $85
cost of necklace = $22.5
let
bracelet = x
necklace = y
The equation:
Total sales = 5x + y
85 = 5x + 22.5
85 - 22.5 = 5x
62.5 = 5x
x = 62.5/5
x = $12.5
Therefore, the cost of each bracelet is $12.5 and the cost of necklace is $22.5
Learn more about equation:
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Mrs. Hill went to get an oil change, because she has a 20% off coupon. F the oil change is $35.00, how much is the discount? In problem #1, how much does Mrs. Hill have to pay?
Answer:
28
Step-by-step explanation: 20% off $35 is equal to (20 x 20) / 100 = 7. So if you buy an item at $35 with 20% discounts, you will pay $28 So the Discount would be 7 Dollars
WILL GIVE BRAINLIEST
Goran bought a sofa on sale for $172.80. This price was 36% of the original price.
What was the original price?
Answer:
$270
Step-by-step explanation:
So Big G gets a great deal on a sofa...$172.80...the original price has to be higher, right? He (? She?) got 36% off...This means that they DID NOT pay 36%, but they DID pay 64% (bc 36 + 64 = 100%)
SO, you need to change percents to decimals to work with them in an equation. Let p be the original price. Original price times 64% will equal the sale price.
.64p = 172.80
DIVIDE BY .64
p = 270
You can check it using the 36% ---
270 × .36 = 97.2
The discount is $97.20
270 - 97.20 = 172.80✅
The original price for Goran's sofa was $270.00
Help!! Ill give 100 points if your correct
[tex]\\ \sf\Rrightarrow 12\dfrac{5}{6}-5\dfrac{1}{6}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{77}{6}-\dfrac{31}{6}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{77-31}{6}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{46}{6}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{23}{3}[/tex]
[tex]\\ \sf\Rrightarrow 7\dfrac{2}{3}[/tex]
Given info:- Subtract and simplify. 12(5/6) - 5(1/6) The given options are (a) 6(1/3) (b) 5(2/3) (c) 7(1/3) (d) 7(2/3)
Solution: 12(5/6) - 5(1/6)
= (72+5)/6 - (30+1)/6
= 77/6 - 31/6
Take the LCM of 6 and 6 is 6.
so,
= (77*1 - 31*1)/6
= (77-31)/6
= 46/6
= (46÷2)/(6÷2)
= 23/3
= 7(2/3) Ans.
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Jerome solved the equation 1 3 x + 5 6 = 1 as shown. 1. Subtraction property of equality: 1 3 x + 5 6 − 5 6 = 1 1 − 5 6 2. LCD: 1 3 x = 1 6 − 5 6 3. Multiply by...
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Need some help on this one as well haha, answer when you can:)
Answer:
250 dollars
Step-by-step explanation:
please explain why. Thanks
Answer:
No
Step-by-step explanation:
By the Factor theorem
If (x - h) is a factor of f(x) then f(h) = 0
Here (x - 2) with h = 2 and
f(x) = x³ - 3x² - x + 7 , then
f(2) = 2³ - 3(2)² - 2 + 7 = 8 - 3(4) + 5 = 8 - 12 + 5 = 1
Since f(2) ≠ 0 then (x - 2) is not a factor of f(x)
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
false
Step-by-step explanation:
I need the function for the volume of the box for number 1
Answer:
Step-by-step explanation:
v = l * w * h
v = x * 22 * 28
v = 616x
Use the translation rule (x, y) --> (x -10, y + 6) to find the image of A(5, - 10).
Answer:
(-5, -4)
Step-by-step explanation:
Plugin the values:
(x, y) ⇒ (x -10, y + 6)
= x - 10, y + 6
= (5 - 10, -10 +6)
= (-5, -4)
Therefore, A prime is (-5, -4).
connor took out a 4-year loan at 4% If he has to pay $240 how much principle did he borrow
Answer:
The principal he borrowed is $1500
Step-by-step explanation:
Let's assume principal he borrowed as P
now, we can use formula
where
SI is simple interest
r is interest rate
t is time in years
we are given
r=4%
SI=240
t=4
now, we can plug this value
now, we can solve for P
So,
The principal he borrowed is $1500. Hope this helps, and mark me as brainlest!
Two angles are supplementary. The measure
of one angle is 9º more than twice the measure
of the other angle. What is the measure of the
smaller angle?
Answer:
57°
Step-by-step explanation:
Let's assume the measurement of the second angle is x.
so, following the problem
(2x + 9) + x = 180
2x + x = 3x
=> 3x + 9 = 180
=> 3x = 180 - 9
3x = 171
x = 171/3
x = 57°
57° is the smallest angle
There are 120 people at a party 1/3 of the people leave the party work out the number of people still at the party
Answer:
There is 80 people still at the party
Step-by-step explanation:
To find how many people are still at the party we first have to find how much 1/3 of 120 is.
∴120/3=40
then we subtract 1/3 of 120 from 120 to get the answer
∴120-40=80
What does (-4)+8-9+12-(-3)
10 is the your answer, hope its worth it
Express the followingbin the standard form:
(I) 80000
(ii) 0.00000000094
(iii) 467.5
(iv) 50200000000000
(v) 0.00000005837
(vi) 71860000000
help me!
Thank you in advance
(i)Given number = 8000
=8 × 1000
= 8×10³
The standard form of 8000 is 8×10³
(ii)Given number = 0.00000000094
⇛ 94/100000000000
⇛ 94/10¹¹
On multiplying and dividing with 10 then
⇛ (94/10¹¹)×(10/10)
⇛ (94/10)×(10/10¹¹)
⇛ 9.4 × (1/10¹⁰)
⇛ 9.4/10¹⁰
⇛ 9.4×10^-10
The standard form of 0.00000000094 = 9.4×10^-10
(iii) Given number = 467.5
⇛ 4675/10
On multiplying and dividing with 1000 then
⇛ (4675/10)×(1000/1000)
⇛ (4675/1000)×(1000/10)
⇛ 4.675 × 100
⇛ 4.675×10²
The standard form of 467.5 = 4.675×10²
(iv) Given number = 50200000000000
⇛ 502×100000000000
On multiplying and dividing with 100 then
⇛ (502/100)×100000000000×100
⇛ 5.02 ×10000000000000
⇛5.02 × 10¹³
The standard form of 50200000000000 is
5.02 × 10¹³
(v)Given number = 0.00000005837
⇛ 5837/100000000000
On multiplying and dividing with 1000 then
⇛ (5837/1000)×(1000/100000000000)
⇛ 5.837/100000000
⇛ 5.837/10⁸
⇛ 5.837×10^-8
The standard form of 0.00000005837 is 5.837×10^-8
(vi) Given number = 71860000000
⇛7186×10000000
On multiplying and dividing with 1000 then
⇛ (7186/1000)×10000000×1000
⇛ 7.186×10000000000
⇛ 7.186×10¹⁰
The standard form of 71860000000 is 7.186×10¹⁰
A grocery store charges $5 for every 3 1/4 pounds of furit. Eleizibeth has 9 3/4 pounds of fruit in her grocery cart. How much will Elizabeth have to pay to purchase the fruit?
Sorry for the spelling :)
Answer:
15 dollars
Step-by-step explanation:
because f it 9 3/4 and it 5 dollars for every 3 1/4 its like multiplying 3 to 3 1/4 so 15 dollars :(:
Describe the graph x = 2.
Group of answer choices
Horizontal line that goes through the point (0,2).
Vertical line that goes through the point (2,0).
Diagonal line that goes through point (0,2).
Diagonal line that goes through the point (2,0).
Answer:
3rd is the answer!! Hope this helps
1/4 5/8 1/2 least to greatest
Answer:
1/4, 1/2, 5/8
Step-by-step explanation:
1/4, 1/2, 5/8
Answer:
1/4,1/2,5/8
Step-by-step explanation:
because 1/2 is 0.25 and 1/2 is 0.50
Decimal Addition/Subtraction.
Answer:
D. 1.175L
Step-by-step explanation:
does he like me (´༎ຶོρ༎ຶོ`)
yes or no !
Answer:
no he is dead
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
Why is education important is it experimental or observational
Answer:
it is experimental
Step-by-step explanation:
okay
The science club has 25 members and 40% of the girls how many girls are in the science club
Answer:
Step-by-step explanation:
25*40/100 = 10
Answer: 10
Step-by-step explanation:25*0.4=10