Answer:
The equation of the quadratic function is y = -4(x + 1)² + 8
Step-by-step explanation:
The vertex form of the quadratic function is y = a(x - h)² + k, where
a is constant(h, k) are the coordinates of the vertex of its graph∵ The vertex of the graph of the quadratic function is (-1, 8)
∴ h = -1 and k = 8
→ Substitute the values of h, k in the form of the equation above
∵ y = a(x - -1)² + 8
∴ y = a(x + 1)² + 8
→ To find a substitute x and y of the equation by the coordinates
of a point lies on the graph of the function
∵ The y-intercept is 4
→ That means the graph intersect the y-axis at point (0, 4)
∴ x = 0 and y = 4
∵ 4 = a(0 + 1)² + 8
∴ 4 = a(1)² + 8
∴ 4 = a(1) + 8
∴ 4 = a + 8
→ Subtract 8 from both sides
∵ 4 - 8 = a + 8 - 8
∴ -4 = a
→ Substitute the value of a in the equation
∴ y = -4(x + 1)² + 8
∴ The equation of the quadratic function is y = -4(x + 1)² + 8
In a math class, five chapter exams are given and a score of at least an 80 must be earned to get a B. Peter completed four exams with scores of 70, 85, 76, and 84. which number line shows the scores that Peter can get on the fifth exam and earn at least a B
Answer:
78
Step-by-step explanation:
Answer please. Explanation thank you, you don’t have to explain if you don’t want to. Please answer
Solve for Y
Y/5+7=9
Answer:
10
Step-by-step explanation:
—Mathy/5 + 7 = 9
y/5 = 9 – 7
y/5 = 2
y = 2 x 5
y = 10
Follow my account^^
what is 0.33 as a decimal
Answer:
0.0033
Step-by-step explanation:
Answer:
0.033
Step-by-step explanation:
0.33% as a decimal is 0.033. You move the decimal point 2 times to the left.
NOW AGAIN WITH PICTURE THIS TIME MATH PROBLEMS 2 PLS HELPPPP HOPE NOT TO SMALL BUT TRY THE ZOOM THAT MIGHT MAKE IT MORE VISIBLE IF TOO SMALL LET ME KNOW
Answer:
For the first pic it’s 2 miles
Second pic I think it’s the second check box thing
Step-by-step explanation:
Use the Distributive Property to rewrite each expression. -3(-2x + 4)
-6x + 12
6x + 4
5x - 12
6x - 12
HELP ASAP
Answer:
hope this helps :)
Step-by-step explanation:
Before last week's baseball game, Darnell did 50 knee lifts in 2 minutes.
Today, he will do knee lifts for 3 minutes. If he does them at the same rate,
how many knee lifts will Darnell do today? *
Answer:
^ratio/perbandingan (indonesia)^
2 minutes= 50 kbee lifts
3 minutes= ...... knee lifts
ok, enter:
50 × 3/2
=25 × 3
=75 knee lifts
FINALLY FOUND, M0DERATOR!!!−3(2x+7)=1/2x
what is x?
Answer:
x= Negative 42/13
As a mixed number= Negative 3 3/13
Step-by-step explanation:
Answer:
hope this helps
Step-by-step explanation:
The range of f(x) = 3x + 1.1 is {16.1, 19.1, 25.1). What is the domain?
A. (5,6,8)
B. 49.458 4, 76.4)
C. All positive real numbers
D. All real numbers
Answer:
It’s A. (5,6,8)
How is the product of 2 and –5 shown using integer tiles? 2 positive tiles and 5 negative tiles. 2 negative tiles and 5 positive tiles. 5 negative tiles and 5 negative tiles. 5 positive tiles and 5 positive tiles.
Answer:
I think the answer is 2 positive tiles and 5 negative tiles.
Step-by-step explanation:
good luck m8
Answer:
g777777777777777777777ttttttttttttttttttttttttttttttttt
Step-by-step explanation:
There are 4 baskets that store 16 bathroom towels. Consider the number of bathroom towels per basket
Answer:
4 towels per basket
Step-by-step explanation:
HELP ME!!!!!! h(x) = -(x + 2)2 + 8 what is the axis of Symmetry
Answer:
The vertical line [tex]x = -2[/tex] is the axis of symmetry of [tex]y = -(x + 2)^{2} + 8[/tex].
Step-by-step explanation:
For the graph of a quadratic function, the axis of symmetry is the vertical line that goes through the vertex of this function.
In general, if the vertex of a quadratic function is at [tex](x_{0},\, y_{0})[/tex], the vertex form equation of this function would be [tex]y = a\, (x - x_{0})^{2} + y_{0}[/tex] for some non-zero constant [tex]a[/tex] ([tex]a \ne 0[/tex].)
Rewrite the quadratic equation in this question [tex]y = -(x + 2)^{2} + 8[/tex] to match the vertex form:
[tex]y = -(x + 2)^{2} + 8[/tex].
[tex]y = (-1)\, (x - (-2))^{2} + 8[/tex].
Thus:
[tex]a = (-1)[/tex].[tex]x_{0} = (-2)[/tex].[tex]y_{0} = 8[/tex].Hence, the vertex of this parabola would be at [tex](-2,\, 8)[/tex].
Again, the axis of symmetry of this graph would be a vertical line that goes through this vertex. The [tex]x[/tex]-coordinate of this vertical line would be [tex](-2)[/tex]. The equation of this vertical line would be [tex]x = (-2)[/tex].
Hence, the axis of symmetry of this quadratic function would be [tex]x = (-2)[/tex].
Ella works two part-time jobs, one before school and one after school. Before school, she earns
$11.25/hour, and after school she earns $11..75/hour. Last
week, she earned a total of $278.
She works twice as many hours after school. How many hours did she work at each job last
week?
a=after school; b = before school *
(1 Point)
O a= 15 and b= 8
O a= 16 and b= 8
O a= 8 and b= 16
O a= 15 and b=9 lo
The Ella works 16 hours after school and 8 hours before school.
What is an mathematical expression?
Expression in mathematics is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Here, it is given that :
Ella works two part-time jobs, one before school and one after school. Before school, she earns $11.25/hour, and after school "a" she earns $11..75/hour and She works twice as many hours after school that is :
a = 2b ......(1)
also, 11.25a + 11.75b = 278....(2)
now, solving for a and b :
11.25a + 11.75b = 278
11.25(2b) + 11.75b = 278
b = 278/34.25
b ≈ 8 hours
Now, the value of a will be 2b = 16 hours
Therefore, the Ella works 16 hours after school and 8 hours before school.
Read more about system of equations at :
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What is the product of 9/14 and 7/15
A. 1/10
B. 3/10
C. 16/29
D. 8/105
Answer:
63/210 or 3/10
B.
Step-by-step explanation:
14 · 15 = 210
9 · 7 = 63
Answer:
B- 3/10
Step-by-step explanation:
9/14 x 7/15
multiply across so you would now get 63/210 and we can divide the top and bottom by 21 so it will simplify to 3/10
easy promise but I'm not too smart
what are some ratios that are equivalent to 1:8?
2:16 3:24 4:32 5:40 6:48
Raoul is trying to find a new way to keep track of coffee beans. He can fit 1,000 beans in a tub, 100 beans in a large bag, and 10 beans in a small bag. He leaves any group of 9 or less on his counter. If Raoul has 2 tubs, 3 large bags, 1 small bag, and 5 beans on the counter, how many coffee beans does Raoul have altogether?
Answer:
2,315 coffee beans.
Step-by-step explanation:
1 tub = 1,000
1 large bag= 100
1 small bag = 10
Raoul has:
- 2 tubs
- 3 large bags
- 1 small bag
- 5 beans on the counter
2 x 1,000 = 2,000
3 x 100 = 300
10 + 5 = 15
then, add all of the (bold) numbers together.
2,000 + 300= 2,300
2,300 + 15 = 2,315
Raoul has 2,315 beans altogether.
is it less, greater or equal pls help (will give brainleist)
Beula has a collection of video games. There are 12 games in the collection, and 2/4 of them are console games. Beula decides to double the amount of console games. 1. How many console games are in the collection now? 2. What fraction the games are console games now?
Answer:
12 console games
Step-by-step explanation:
if 2/4 are console games when you have 12, that means 6/12 are console games so to double the amount, add 6. 12+6=18.
12 out of the 18 are now console games making console games 6/9 (2/3 simplified) of the game collection.
the department of education wishes to estimate the proportion of all college students who have a job off-campus. it surveyed 1600 randomly selected students; 451 had such jobs. the population of interest to the department of education is:
The population of interest to the department of education will be all college students.
A population is a large group of individuals that have some common feature by the researcher's point of interest.
Here the Department of Education wishes to estimate the proportion of all college students who have a job off-campus.
Proportion: A proportion is an equation in which two ratios are set equal to each other. If there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls. 0.25 are boys (by dividing 1 by 4).
So , he needs data of all students to compute the exact proportion.
But instead of that he surveyed 1600 randomly selected students which determine the sample.
Sample just gives the estimate of the parameter.
Hence, the population of interest to the Department of education is " All college students" .
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Which equation can be solved to find one of the missing side lengths in the triangle?
Find cy.
I really need help :(
Answer: 66.9
Explanation: This is right because BY looks to be equal to CY so there for CY is 66.9
Hope this helps :)
Lin has two small baking pans, each shaped like a rectangular prism. For each question, explain or show your reasoning.
a. Lin lines the bottom of her first pan with aluminum foil. The area of the rectangular piece of foil is 1114 square inches. Its length is 412 inches. What is the width of the foil?
b. Lin's second pan has a length of 83 inches, a width of 154 inches, and the height of 32 inches. What is the volume of the second pan?
Answer:
2 1/2
Step-by-step explanation:
( 11 1/4 ) / ( 4 1/2 ) = 2 1/2
( 2 1/2 ) = 5/2
The width of the pan is 2.70 inches.
The volume of the pan is 409,024 inches³
A rectangular prism is a polyhedron with six faces and twelve edges. It is also known as a cuboid.
The width of the foil can be determined by dividing the area by the length.
Width = area / length
1114 / 412 = 2.70 inches
Volume of the pan =length x width x height
83 x 154 x 32 = 409,024 inches³
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DUE at 10:30 HELP PLEASE ?
Answer:
HFG - WUV By SAS similarity
Step-by-step explanation:
The sides are just a variation of each other because 9 is 1/2 of 18, and 21 is 1/2 of 42. Also the angle in-between is equal to each other.
What is the answer to this problem?
Answer:
The answer is that i got stick bugged lol
A bike path is 8 miles.Max is 40% if the way to the end.How far is max on the path
Answer:
3.2
Step-by-step explanation:
0.42*8 =3.2
Approximating
1. Approximate to the nearest tenth: v45
Approximation to the nearest tenth means to find the tense place . e.g.
25632 - in this case the '32'
then you round it upwards or downwards according to rule that if digit at once place is
from 0 - 4 you round downwards,
from 5 - 9 you round upwards for example
25632 goes to 25630
248 goes to 250
Therefore approximate to nearest tenth means to make the number a nearest multiple of 10 with respect to the rule that if digit at once place is
from 0 - 4 you round downwards,
from 5 - 9 you round upwards
Look at the next place value to the right to round a number to the nearest tenth (the hundredths). Remove all the digits to the right if it's 4 or less. If it's 5 or higher, add 1 to the digit in the tenths place before removing all the digits to the right.
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Gabe buys a pack of 25 colored pencils for $25.50. What is the unit cost of one pencil
Answer:
1.02
Step-by-step explanation:
hopefully it helped
Justin has $28 to buy a gift for his cousin, Julianne. He found something to buy that costs $24. He knows he has to also pay 8% in sales tax and he is trying to decide if he can afford it. Will he have enough money to buy the item and if so how much will he pay?
Justin will have enough money to buy the item. The amount Justin will pay is $25.92.
How much will Justin pay?A sales tax is the amount of tax that is charged on the sales of goods and services. Tax is the compulsory sum levied by the government or an agent of the government on goods and services. Taxes increase the price of an item.
Percentage is the fraction of an amount expressed as a number out of hundred. The sign used to represent percentages is %.
Amount Justin would pay for the item = (1 + tax) x initial cost of the item
(1 + 0,08) x $24
= 1.08 x 24 = $25.92
$25.92 is less than the amount Justin has for the gift. This means that Justin has enough money to buy the gift.
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It takes Santa a total distance of 1800 miles to cover a portion of his
Texas route, he does this in 3 hours, how fast is Santa moving? *
2400 mph
600 mph
350 mph
150 mph
please help!! hurry
Answer:
the answer is 600mph
Step-by-step explanation:
because 1800miles/3 hours=600mph
Answer:
600 mph
Step-by-step explanation:
In order to find the answer you must solve using this formula:
S=D/T
Where S is speed, D is distance, and T is time
You have time and distance, so you have to plug those into the formula:
S=1800/3
Then all you have to do is divide 1800/3 and get 600 for speed.