Given:
The vertex form of a quadratic equation is
[tex]y=-5(x+2)^2-10[/tex]
To find:
The standard form of the given quadratic equation.
Solution:
We have,
[tex]y=-5(x+2)^2-10[/tex]
Using the formula [tex](a+b)^2=a^2+2ab+b^2[/tex], we get
[tex]y=-5(x^2+2(x)(2)+(2)^2)-10[/tex]
[tex]y=-5(x^2+4x+4)-10[/tex]
Using distributive property, we get
[tex]y=-5x^2-20x-20-10[/tex]
[tex]y=-5x^2-20x-30[/tex]
Therefore, the standard form of the given equation is [tex]y=-5x^2-20x-30[/tex].
A bag of 8 rolls for $1.89 or a bag of 18
rolls for $3.79
Answer:
8 rolls for $1.89
Step-by-step explanation:
when you divide to see how much each one costs the 8 rolls is better
Answer:
8 rolls for 1.89
Step-by-step explanation:
Three divided by four
Answer:
0.75
Step-by-step explanation:
what is the x and y intercept of -1/2x+3?
Answer:
-1/2x+3=y
to find xint make y=0
-1/2x+3=0
-1/2×=-3
x=6
so xint=6
to find yint make x=0
-1/2(0)+3=y
y=3
yint=3
182 is what percent of 130?
Answer:
140%
Step-by-step explanation:
A bag holds 2 red and 7 blue marbles. What is the probability of the complement of randomly selecting a red marble?
Answer:
2 out of 9 percent of grabbing one of the red balls
Step-by-step explanation:
Answer:
2:7
Step-by-step explanation:
Which following is not a function
what is the similarity ratio of CDEF to WXUV
Please help I cannot-
Answer:
1922 m cubed
Step-by-step explanation:
Not gonna do that, I did the work and checked it. Should be right
Answer:
612 π m³
1922 m³
I'm not sure about answer....
find the sum x^2-2x-15 and 2x^2+5x-2
Answer:
x^2-2x-15 = (
Is 6/5 closer to 1/2
[tex]\frac{6}{5} =\quad 1.2[/tex]
[tex]\frac{1}{2}= \quad 0.5[/tex]
[tex]1.2 > 0.5[/tex]
[tex]\frac{6}{5} > \frac{1}{2}[/tex]
Hope I helped you!Success!Slove for x
4 ( 4x+15)=24
Answer:
x=-9/4
Step-by-step explanation:
4(4x+15)=24 - divide both sides
4x+15=6 - move constant to the right
4x=6-15 -solve for the difference
4x=-9 - divide both sides
who is out of school tomorrow for the weather?
where do you live?
Answer:
i sadly still have to go, i live in the east coast so the weather isn't bad
Juan can walk to school, a distance of 0.75 mile, in 8 minutes. Assuming he walks at a constant rate, write the linear equation that represents the situation.
helpppp
3x - 5 = 1 what is the value of x
Answer:2
Step-by-step explanation:
anyone know the answer to this?
Answer:
1/8
Step-by-step explanation:
Answer:
1/8
Step-by-step explanation:
the cake was divided in 1/4ths so half of that is 1/8
HEY THERE! PLEASE ANSWER THE MATH QUESTION IN THE PHOTO! THE CORRECT ANSWER WILL BE MARKED AS BRAINLIEST ,GET POINTS AND I WILL ALSO FOLLOW YOU! THANKS! (if you can explain your answer)
xoxo
.
Answer:
1.A. because in the number line A pointed in no. 1
2.B.because in the number line B pointed in no. 2
Answer:
B
C
Step-by-step explanation:
We can count and see that there are 2 ones out of 8
which means there's a 2/8 (or 1/4) chance of rolling a 1
One the number line this seems closest to B
We can count and see 4/8 (or 1/2) of the numbers on the spinner and 2. On the number line this answer is C
according to the property √a/√b=√a/b, which choice is equivalent to the quotient below? √72/2
According to the property [tex]\frac{\sqrt{a} }{\sqrt{b} }[/tex] = [tex]\sqrt{\frac{a}{b} }[/tex], [tex]\sqrt{\frac{72}{2} }[/tex] = 6.
What is square root?The square root of a number is the value of power 1/2 of that number. In other words, it is the number whose product by itself gives the original number.
Given
[tex]\sqrt{\frac{72}{2} }[/tex]
= [tex]\sqrt{36}[/tex]
= 6
According to the property [tex]\frac{\sqrt{a} }{\sqrt{b} }[/tex] = [tex]\sqrt{\frac{a}{b} }[/tex]
[tex]\sqrt{\frac{72}{2} }[/tex] = [tex]\frac{\sqrt{72} }{\sqrt{2} }[/tex]
= [tex]\frac{6\sqrt{2} }{\sqrt{2} }[/tex]
= 6
Thus, according to the property [tex]\frac{\sqrt{a} }{\sqrt{b} }[/tex] = [tex]\sqrt{\frac{a}{b} }[/tex], [tex]\sqrt{\frac{72}{2} }[/tex] = 6.
Find out more information about square root here
https://brainly.com/question/15329983
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The owner of a flower shop sells18 roses for $90.00. What is the cost in dollars per rose?
Write the coordinates of the vertices after a translation 7 units right.
Answer:
Translation: 7 units right and 1 unit down
J(-3,1), F(-2,3), N(-2,0)
Step-by-step explanation:
trust me
Given a circle with radius of 18 m, what is the circumference?
Answer:
C=113.09
Step-by-step explanation:
use c=2pi(r).
Which statements are true about the table given below?
Statement I: This table represents an arithmetic sequence.
Statement II: This table has a common ratio of 13.
Statement III: To find the next term, add 13.
Statement IV: Recusive rule for the table is
f
(
n
)
=
f
(
n
−
1
)
+
13
f
(
n
)
=
f
(
n
-
1
)
+
13
where
f
(
1
)
=
4
f
(
1
)
=
4
Statment V: Explicit rule for the table is
f
(
n
)
=
4
(
13
)
n
−
1
f
(
n
)
=
4
(
13
)
n
-
1
A.
Statements I, III, and IV
B.
Statements II and V
C.
Statements I, II, and III
D.
Statments I, III, and V
Answer:
Step-by-step explanation:
I, III, IV
A cylinder has a radius of 12.2 inches and a height of 6.1 inches.
What is the approximate volume of the cylinder?
Use 3.14 for pi.
Answer
2850.9 inch³
Step-by-step explanation:
V= πr²h
V (Volume) = 3.14 × 12.2 × 12.2 × 6.1 = 2850.9
hope it helps
When the survey results came back employees indicated that the lighting in the building is too low. There are 50 lights in the building it will cost 50 to replace each light the new lights are led lights that are brighter and more efficient and last 10 years it will save the company 305 per year in energy cost plus make a brighter more productive work space making employees happier how many years will it take for the new lights to pay for themselves round to the nearest year
Answer:
8 years
Step-by-step explanation:
There are 50 lights present in the building and each light cost $50. Therefore the cost of changing all the bulbs is:
Cost = number of lights * cost per light = 50 lights * $50 = $2500
Changing the lights in the building save the company $305 per year in energy cost. Therefore, the number of years required for the new lights to pay for themselves is:
number of years = cost of changing bulbs / money saved per year
number of years = $2500 / $305 per year = 8.2
number of years = 8 years to the nearest year
Rewrite the fraction as a decimal. 82/5
Answer:
16.4
Step-by-step explanation:
80/5 = 16
2/5 = 0.4
16 + 0.4 = 16.4
Eighteen percent of what number is 5.4?
Answer: 30
Step-by-step explanation:
Write 32/12 as a mixed number. Give your answer in its simplest form.
Answer: 32/12 as a mixed number is 2 2/3
Step-by-step explanation: First you see how many 12's can go into 32 which is 2 right? So after you see how much you have left over. Which is 8 and now its 2 and 8/12 but you want the simplest form which you can find by seeing what goes into 8 and 12 which is 4, so now you divide 8 by 4 and 12 by 4 which is 2 over 3
(someone help)
Andre is running in an 80-meter hurdle race. There are 8 equally-spaced hurdles on the race track. The first hurdle is 12 meters from the start line and the last hurdle is 15.5 meters from the finish line. How far are the hurdles from one another?
Answer:
600 and 3
Step-by-step explanation:
solve for j: 2(4j + 3) = 3 +8j
PLEASE HELP IT IS AN EMERGENCY!!!!!!!!!!!!!!!!!!!! DO NOT ANSWER IF YOU DO NOT KNOW THE ANSWER PLEASE PLEASE!!!!
How can you represent an increase in temperature using an addition equation? Explain!!
Answer:
x+y=z
Step-by-step explanation:
temperature=x
increase=y
answer=z
x+y=z
The Teacher is grading spelling tests for a 2nd grade class. Out of 8 words, most students only got 3 correct. What is the percent of correct answers?
Answer:
35% because 4 would be 50% so its prob around 35 or 40
Answer:
35% because 4 would be 50%
Step-by-step explanation: