Answer:
Step-by-step explanation:
5i² + 12i - 32i = 5i² - 20i
= 5i² - (5*4*i)
= 5i(i - 4)
A) Write the vertex form by substituting in values for x, y, h, and k, and then solve for a. Show your work. (10 points)
Answer:
[tex]a=-\frac{1}{8}[/tex]
Step-by-step explanation:
Given
See attachment for graph
Required
Write the vertex form and then solve for
The general equation is:
[tex]y = a(x - h)^2 + k[/tex]
From the attachment, the vertex is at:
[tex](h,k) = (24,50)[/tex]
i.e.
[tex]h = 24; k= 50[/tex]
Considering point:
[tex](x,y) = (4,0)[/tex]
i.e.
[tex]x=4;y=0[/tex]
Substitute these values in [tex]y = a(x - h)^2 + k[/tex]
[tex]0 = a(4 - 24)^2 + 50[/tex]
[tex]0 = a(- 20)^2 + 50[/tex]
[tex]0 =a(400) + 50[/tex]
[tex]0 = 400a + 50[/tex]
Solve for a
[tex]400a = -50[/tex]
Make a the subject
[tex]a=-\frac{50}{400}[/tex]
[tex]a=-\frac{1}{8}[/tex]
Answer:
y = a(x - h)^2 + k
h = 24, k = 50, x = 4, y = 0
0 = a(4 - 24)^2 + 50
0 = a(-20)^2 + 50
0 = a(400) + 50
0 = 400a + 50
400a = -50
a = - 50/400
a = - 1/8
Step-by-step explanation:
that's what i put copy and paste
Can anyone help me will give you the brainliest
Answer:
256.76inch²
Step-by-step explanation:
area of square = side × side
6.4 × 6.4 = 40.96
number of squares = 6
6×40.96=256.76
Carlotta thinks that 3y + 5y3 is the same as 8y4. Which statement shows that it is NOT the same?
3y + 5y ≠ 8y
3y + 5y3 = 8y3
3(4) + 5(4)3 ≠ 8(4)4
3(4) • 5(4)3 ≠ 8(4)4
Answer:
C. 3(4) + 5(4)³ ≠ 8(4)⁴
Step-by-step explanation:
3y + 5y³ is NOT the same as 8y⁴
Assume y = 4
Not equal to sign ≠
3y + 5y³ ≠ 8y⁴
3(4) + 5(4)³ ≠ 8(4)⁴
12 + 20³ ≠ 32⁴
12 + 8000 ≠ 1,048,576
8012 ≠ 1,048,576
The statement which shows that 3y + 5y³ is NOT the same as 8y⁴ is 3(4) + 5(4)³ ≠ 8(4)⁴
write 75m:125cm in its simplest form
Answer: should be 3/5
Step-by-step explanation:
Divide both the numerator and denominator by the GCD
75 ÷ 25
125 ÷ 25 if im wrong sorry
The ratio of 75m : 125cm in its simplest form is 60 : 1.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, Two similar quantities.
We know 75m = 75×100 = 7500 cm.
Therefore, The ratio between them is,
7500 : 125.
1500 : 25.
300 : 5.
60 : 1.
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Please help it’s due right now
Answer: hey I actually just finished learning about this in math.
Step-by-step explanation: the graph is a function, because it passes the vertical line test
what is the value of the x- intercept of the following equation? 2x-6y=14
Answer:
x-3y-7=0
Step-by-step explanation:
Dont care bruuhh
f(1)= -34
f(n)=f(n−1) - 3
Find an explicit formula for f(n).
Answer:
f(n) = -34 -3(n - 1)
Step-by-step explanation:
The explicit formula for f(n) is given below:
Given that
f(1)= -34
f(n)=f(n−1) - 3
Based on the above information
f(n) = a1 +d(n -1)
a1 = -34
d = -3
So
f(n) = -34 -3(n - 1)
This above represent an explicit formula
What is the equation of the line that passes through the point (-8,5) and has a
slope of - ?
Answer:
Step-by-step explanation:
find the zeros of the function by factoring f(x)=x^2+16x+60
Please show work if you can
Answer:
-6 and -10
Step-by-step explanation:
First find two numbers that multiply to 60 and add up to 16
these numbers are 6 and 10
then write the numbers in factored form: (x+6) (x+10)
Then set each one equal to zero and solve to find the zeros of the function
x+6=0 --> x=-6
x+10=0 --> x=-10
the zeros of the function are -6 and -10
Hope this helps!
At a baseball game, 89% of people attending were supporting the home team, while 11% were supporting the visiting team. If 2314 people attending the game supported the home team, what was the total number of people attending the game?
Answer:
2600
Step-by-step explanation:
2314 ÷ 89% = 2600
2314 is 89% of 2600.
Find the area of the circle.
18 ft
A
1017.9 ft2
B
254.5 ft?
С
113.1 ft2
D
339.3 ft2
Answer:
A.
Step-by-step explanation:
The formula for trying to find the area of a circle is Area= r^2
Sooo:
Area=3.14 x 18 x 18
18 x 18 is the first part of the equation
=324
Then:
3.14(pi) x 324 = 1017.36 = 1017 ft2
Three-quartersbof the boat in the marina are white, 4/7 of the remaining boats are blue and the rest are red. How many boats are in the marina
You have a coupon for an additional 10% off the price of any sale item at a store. The store has put a laptop on sale for 25% off the original price of $750. What is the price of the laptop after both discounts?
Answer:
$506.025
Step-by-step explanation:
$750 - 25% = $750 - $187.5
$562.25 - 10% = $562.25 - 56.225
1. The perimeter of a rectangular field is 60 ft
and its width is 20 ft. Find the area of this
field,
1,200 square feet
2. 120 square feet
3. 80 square feet
4. 100 square feet
Answer:
80 square feet
Step-by-step explanation:
I hope this helps a little bit.
Please help. Will give Brainliest.
Answer:
2
Step-by-step explanation:
That is the only valid reflection across line e.
Answer:
2
Step-by-step explanation:
When an image is reflected over a line the triangles are positioned the same way and the distance from the line is the same therefore your answer is 2
a) Simplify e(to the power of 5) x e(to the power of 4)
Answer:
e(to the power of 9)
Step-by-step explanation:
when you multiply variables with exponents, you have to add the exponents together.
Hi there!
Answer: [tex]\huge\boxed{\ e^9}[/tex]
Explaination:
1. e^5 multiplied by e^4 = e^(5 + 4) = e^9
Hope this helps!
Aiden bought 8 magazines that each cost the same amount. He paid a total of $21.12. How much did he pay for each?
Answer:
168.96
Step-by-step explanation:
21.12 x 8 = 168.96
Answer:
$2.26
Step-by-step explanation:
21.12/8
just divide
URGENT !!!!!!!!! Please answer correctly !!!!! Will be marking Brianliest !!!!!!!!!!!!!!!!
Answer:
Given points are ( 6, -2 ) and ( 12 , -2 )
Step-by-step explanation:
Slope of line ( m )
y2-y1
---------
x2-x1
= (-2 + 2)/ 12-6
Step-by-step explanation:
the slope is 0
Answer:
0
Step-by-step explanation:
y2-y1/x2-x1
did the equation = 0
Help me on this please
Answer:
14. y=10
Step-by-step explanation:
3y-7=23
+7 +7
3y=30
---- -----
3 3
y=10
Answer:
y=10j=8Step-by-step explanation:
[tex]3y-7=23[/tex]
Collect like terms and simplify
[tex]3y =23+7\\3y=30[/tex]
Divide both sides of the equation by 3
[tex]\frac{3y}{3} = \frac{30}{3}[/tex]
Simplify
[tex]y=10[/tex]
2.
[tex]\frac{3(j-1)}{2}=12 + \frac{2-j}{4} \\\\\mathrm{Multiply\:by\:LCM=}4\\\\\frac{3\left(j-1\right)}{2}\times\:4=12\times\:4+\frac{2-j}{4}\times\:4\\\\Simplify\\6\left(j-1\right)=-j+50\\\\Expand\:6\left(j-1\right) :6j-6\\\\6j-6=-j+50\\\\\mathrm{Add\:}6\mathrm{\:to\:both\:sides}\\6j-6+6=-j+50+6\\\\Simplify\\6j=-j+56\\\\\mathrm{Add\:}j\mathrm{\:to\:both\:sides}\\6j+j=-j+56+j\\\\Simplify\\7j=56\\\\\mathrm{Divide\:both\:sides\:by\:}7\\\frac{7j}{7}=\frac{56}{7}\\\\Simplify\\j=8[/tex]
A prism has a square base and a volume, V, of 350 cm3. The height, h, of the prism is 10 cm. Find the area of the base, B.
please help ASAP I will give brainliest :)
Answer:
The answer is 35cm squared :D
Step-by-step explanation:
Answer:
The answer is 35! I just did it, and it's 35!
Step-by-step explanation:
Math problem and answers are in the picture
Answer: 1/3
Step-by-step explanation:
From the point (-1,0) you go to the right one square, and up 3 squares to get to the next point on the graph that the line goes through (0,3).
factorise 36x³y-225xy³
14) The words/phrases of at most, no more
than, no greater than, and maximum all
represent which inequality symbol?
A) greater than or equal to
B) less than
C) greater than
D) less than or equal to
Answer:
D
Step-by-step explanation:
a can do.a piece of work in 6 days and B in 8 days each working 7hours a day In what time will they finish it together, working 8hrs a day
The sample for a study exhibits undercoverage bias. Select the statement that best describes the bias in the study. O There are not enough subjects in the sample.
O Many of the subjects in the study did not answer every question on the survey.
O The subjects in the study are not representative of the population, because some members of the population were not able to participate in the study.
O The subjects in the study are not representative of the population, because some members of the population refused to take part in the study.
Answer:
The subjects in the study are not representative of the population, because some members of the population were not able to participate in the study.
Step-by-step explanation: i got it right on the test
A sample is said to exhibit undercoverage bias, if some of the portion or category of the population are not adequately represented or exempted from the selected sample. Hence, undercoverage bias exists because, The subjects in the study are not representative of the population, because some members of the population were not able to participate in the study.
Undercoverage bias produces non - representative samples as some category of the population may have been exempeted from the study. Hence, option C is correct.Undercoverage translates that the opinion of some members of the population were not even considered. Hence, the introduction of undercoverage bias.
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HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
i think it's "c" if u check y=6 x= 2
Step-by-step explanation:
so if u insert 2 in the formula c you get 6
108 divided by 2 1/2
Answer:
43.2
Step-by-step explanation:
first turn 2 1/2 into an improper fraction
(2 × 2) + 1 = 5
5/2
then turn 5/2 into a fraction
5 ÷ 2 = 2.5
now divide!
108 ÷ 2.5 = 43.2
Number equivalent to 108/2 1/2 is 43.2 .
Given,
108 divided 2 1/2
Using division property,
The rules for division are:
(1) positive × or ÷ positive = positive
(2) positive × or ÷ negative = negative
(3) negative × or ÷ negative = positive
Rule for long division method,
Divide the tens column dividend by the divisor.
Multiply the divisor by the quotient in the tens place column.
Subtract the product from the divisor.
Bring down the dividend in the ones column and repeat.
Therefore,
divide, multiply, subtract, bring down and repeat or find the remainder.
Here the required value is of :
108/2 1/2
= 108 / (5/2)
= 43.2
Hence the answer is 43.2
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If lucy has a card buiness she has an oder to make 65 cards she makes the same number of cards everyday for 7 days how many cards does she have to make on the last day
Answer:
2
Step-by-step explanation:
Total number of cards = 65
she makes the same number of cards everyday for 7 days
Number of days = 7
Cards per day = 65 / 7 = The result is 9 with a remainder of 2.
This means, she makes 9 cards per day for 7 days. Then on the last day she is left with 2 cards to make.
0/2
Sandy had one hundred fifty - five dollars to spend on eight books. After buying them she had eleven dollars. How much did each book cost?
Answer:
Each book costs $18.
Step-by-step explanation:
$155 - 11 = $144 left
$144/8 books = $18 per book
Hope this helps!
Answer:
155 minus the 11 she still had means she spent 144.
144 divided by 8 books comes to $18 per book, on average.
Students were asked to choose their favorite sport, and 7/9 chose either
basketball or soccer. If 5/9 of the students chose basketball, what fraction
chose soccer?