If using the method of completing the square to solve the quadratic equation
x? + 15x + 25 = 0, which number would have to be added to "complete the
square"?
Answer:
31.25
Step-by-step explanation:
The general form of a complete square would be (x + a)^2 + b
Given an equation of X^2 + 15X + 25 = 0,
the idea is to reduce it into the form if (X + C)^2
which can be expanded into X^2 + 2XC + C^2
In this case 15 will be our 2C So our c will be 7.5.
Substituting in these numbers,
We have X^2 + 15X + (7.5)^2 = 0
However our original equation has 25 for its C^2, thus
we need to add 31.25 in order to get (7.5)^2
FYI
The final completed form will be (X + 7.5)^2 - 31.25
can u do this plz urgent
A cube has a side length of 3.5 cm. What is the surface area of the cube?
Answer:
73.5
Step-by-step explanation:
3.5 times 3.5 = 12.25
Multiply 12.25 by 6 since there are 6 faces with the same surface area to get 73.5 as your answer.
Which option best shows X ≤ -3
Step-by-step explanation:
the answer is b because the circle is filled with color as it should be and shows that x is equally to number 3 too
Answer:
yep, it's b.
Step-by-step explanation:
a line with a closed circle means that it's less than or equal to.
Mike had a coupon for 20% off the price of a shirt at a certain store.
. On the day he went, the store was also having a sale.
The original price of the shirt was $25.50.
• The price after the coupon and the additional discount was $18.36.
.
Answer:
7.14
Step-by-step explanation:
In ΔDEF, the measure of ∠F=90°, the measure of ∠D=69°, and FD = 64 feet. Find the length of DE to the nearest tenth of a foot.
Answer:
Step-by-step explanation:
can someone help me with this?
Answer:
$79.38
Step-by-step explanation:
First find the area of the parallelogram: b*h
= 8.1* 3.5
= 28.35 square meters
now multiply by the cost (2.80) by 28.35 to get the final answer: 79.38
Pls help me
I really need help so I can not go through summer school pls
Which equation could be solved using this application of the quadratic formula? x = (- 3 plus/minus sqrt(3 ^ 2 - 4(1) * (24)))/(2(1)) A. x ^ 2 + 6x + 24 = 3x B 3x ^ 2 + 3x + 24 = 3 C. x ^ 2 + 3x - 24 = 3 D x ^ 2 + 3x + 24 = 3
Answer:
[tex]x^2 + 3x + 24 = 0[/tex]
Step-by-step explanation:
Given
[tex]x = \frac{-3\±\sqrt{3^2 - 4*1*24}}{2*1}[/tex]
Required
Select equation with the above solution
The solution is represented as:
[tex]x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]
By comparison:
[tex]b= 3[/tex] [tex]a = 1[/tex] [tex]c = 24[/tex]
So, the equation is:
[tex]ax^2 + bx + c = 0[/tex]
[tex]x^2 + 3x + 24 = 0[/tex]
Help? Please I don’t get this
What is 0.5 (0.1)(1/2)
Answer:
0.025
Step-by-step explanation:
If Carl earns $42 in 3 hours, how much will he earn in 1 hour? Explain
Answer:
14$
Step-by-step explanation:
42 divided by 3 is 14
Can someone help me? I’ll reward points + brainalist
Answer:
B
Step-by-step explanation:
2 CDs - $9.98
5 CDs - [tex]\frac{5}{2}[/tex] × $9.98 = $24.95 (Option B)
Answer:
B.
Step-by-step explanation:
Cost of 2 CD = 9.98
cost of 1 CD = 9.98/2 =4.99
Cost of 5 CD = 4.99 × 5 = 24.95
15x5>75 truth or false
Answer:
False
Step-by-step explanation:
what is the leading coefficient of 5z^5-2z^6+z
Answer:
3
Step-by-step explanation:
-5n = 15
show your work
Answer:
n=-3
Step-by-step explanation:
divide both sides
-5n/(-5)=15/(-5)
divide both sides
n=15/(-5)
n=-3
4,000 as a product of power of 10
Answer:
4,000 to the tenth power is 1.045876E36
Step-by-step explanation:
If 2x+y=16 and 4x-y, find the value of x and y
Answer:
Step-by-step explanation:
Caroline can ride her bike 5 miles in 25 minutes. At this rate, how long would it take her to bike 8 miles?
Answer:
40 min.
Step-by-step explanation:
5/25=1/5
1/5=0.2
8/0.2=40
Answer:
40 mins
Step-by-step explanation:
do 25 divided by 5 and you get 5, which means she can ride one mile in 5 mins, so then multiply 5 and 8 and you get the product of 40.
2 2/5 - 1 1/3 + 3 1/2=
Answer:
16.2
Step-by-step explanation:
I think it is the answer. not sure
Sasha saved $28.34 in November and $39.57 in December. By the end of
January, she wants to have saved $100. How much money does she need
to save in the month of January? Make sure to include your work, number
sentences, and your answer with words.
Answer:
$32.09
Step-by-step explanation:
It's $32.09 because, 39.57-28.34=67.91. And 100-67.91= 32.09. Goodluck!
Six Sigma is comprehensive approach to quality goal setting that involves statistics. An article in Aircraft Engineering and Aerospace Technology (Vol. 76, No. 6, 2004) demonstrate the use of the normal distribution in Six Sigma goal setting at Motorola Corporation. Motorola discovered that the average defect rate for parts produced on an assembly line varies from run-to-run and is approximately normally distributed with a mean equal to 3 defects per million. Assume that the goal at Motorola is for the average defect rate to vary no more than 1.5 standard deviations above or below the mean of 3. How like is it that the goal will be met?
Answer:
0.8664 = 86.64% probability that the goal will be met.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Assume that the goal at Motorola is for the average defect rate to vary no more than 1.5 standard deviations above or below the mean of 3. How like is it that the goal will be met?
It should be within 1.5 standard deviations of the mean, which means that the probability is the pvalue of Z = 1.5 subtracted by the pvalue of Z = -1.5.
Z = 1.5 has a pvalue of 0.9332
Z = -1.5 has a pvalue of 0.0668
0.9332 - 0.0668 = 0.8664
0.8664 = 86.64% probability that the goal will be met.
HELP PLZ and thank you
find the measure of the arc or central angle indicated. assume that lines which appear to be diameters are actual diameters.
Answer:
Step-by-step explanation:
Circle degrees total 360 .
360 - 126 -54-54 (other side of vertical angles) equals 126 degrees left for the other two remaining sections.
14x+4 +15x+6 =126
19x+10 = 126
29x = 116
x=4 . answer .
Alexis is going to Vegas for the weekend! She decides to try her hand at a new game that Casino QuickCash is promoting. For this game, you pay $6 to play. A dealer shuffles and then randomly draws a card from a standard deck of 52 cards. If the card drawn is a diamond, Alexis wins nothing. If the card drawn is an even-numbered card (2,4,6,8, or 10) from the remaining three decks, Alexis wins $8. Otherwise, Alexis wins $12. a) Alexis's expected winnings per game is (rounded to the nearest cent):
Answer:
$10.46
Step-by-step explanation:
Amount that can be won by Alexis ( xi ) = $0, $8 , $12
probability ( pi )
P( $0 ) = 13 / 52 = 1 / 4
P( $8 ) = 15 / 39 ( given that she wins this when an even number is drawn from three remaining decks )
P ( $12 ) = 1 - 15/39 = 24 / 39
a) Alexis expected winnings per game
= ∑ xi * pi = ( 0 * 1/4 ) + ( 8 * 15/39 ) + ( 12 * 24 / 39 )
= $0 + ( 120 / 39 ) + ( 288 / 39 ) = $10.46
What is the solution to the system of equations?
y = 2/3x + 3
x=-2.
half the shoes in one store were on sale what percent of the shoes were their ordinary price
Answer:
i dont get it the are no answer choices nor are there numbers lolololol
Step-by-step explanation:
A carpenter is putting a skylight in a roof. If the roof measures 10 + 8 by 8 + 6 and the skylight measures + 5 by 3 + 4, what is the area of the remaining roof after the skylight is built?
a. 77^2 + 115 + 68
b. 77^2 + 105 + 28
c. 83^2 + 115 + 68
d. 77^2 − 105 + 28
3(x - 2) – 2x + 3 = -12
Answer:
hii
Step-by-step explanation:
3(x-2)-2x+3=-12
3 times x = 3x
3 times -2 = -6
3x-6-2x+3=-12
3x + 2x = 5x
-6 + 3 =-3
i don't know the rest I'm sorry
Given m = 3/2 and the point (0, -6), which of the following is the point-slope form of the equation?
Answer:
Step-by-step explanation:
The equation of a line in
point-slope form
is.
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
2
2
y
−
y
1
=
m
(
x
−
x
1
)
2
2
∣
∣
∣
−−−−−−−−−−−−−−−−−−−−−−
where m represents the slope and
(
x
1
,
y
1
)
a point on the line
here
m
=
−
2
and
(
x
1
,
y
1
)
=
(
3
,
0
)
⇒
y
−
0
=
−
2
(
x
−
3
)
⇒
y
=
−
2
(
x
−
3
)
←
in point-slope form
5/6 minus (- 3/4)
HELP PLS
Answer:
In order to solve this problem, you have to find the lowest common denominator. Take multiples of both 6 and 4 and see which is the lowest you have in common.
4: 4, 8, 12, 16, 20
6: 6, 12, 18, 24
So 12 is the lowest common multiple....
5/6 x ?/? = ?/12 (you have to multiply the numerator and the denominator by the same number)
3/4 x ?/? = ?/12 (you have to multiply the numerator and the denominator by the same number)
When the denominators are the same, you can subtract the numerators. The denominator will stay 12!
Step-by-step explanation:
YAY! I want a brain
Answer:
Exact Form: 19/12
Decimal form:1.583
Mixed number form: 1 7/12
Step-by-step explanation:
hope i was right!