suppose a parabola has an axis of symmetry at x=-2, a maximum height of 8, passes through the point (-6, 2). Wrire the equation of the parabola in vertex form.
Answer:
y = -3/8(x + 2)^2 + 8
Step-by-step explanation:
vertex form is
y = a(x - b)^2 + c where a is a constant and (b,c) is the vertex.
The maximum is at (-2, 8) because x 8 = height and x =-2 is equn. of symmetry
So here we have
y = a(x - (-2))^2 + 8
y = a(x + 2)^2 + 8
Now at the point (-6, 2):
2 = a(-6+2)^2 + 8
2 = 16a + 8
16a = -6
1 = -3/8.
So our equation is y = 3/8(x + 2)^2 + 8
A volunteer group is planting trees at 6 different parks. They planted 70 trees at each park. How many trees did the group plant in all?
Answer:
6x70=420
Step-by-step explanation:
With this probelm, you can add like this 70+70+70+70+70+70 to get the answer (find the first number mentioned that is probably the first thing your mutilplying and second number you can use to mutiply it, it can put it anyway like 6x70 or 70x6
Twice the sum of a number and 8 is the same aa the difference of 3 and the number. Find the equation that could be used to find the number, x.
A. 2x+8=x-3
B. 2(x+8)=x-3
C. 2(x+8)=3-x
D. 2x+8=3-x
Answer:
f your number is x, then the difference between that number and 8 would be x-8. Twice that is 2(x-8)
Three times the sum of the number and 3 would be 3(x+3). So, you get the equation:
2(x-8)=3(x+3)
2x-16=3x+9
x=-25
6. The costs for going to a dog beach are
$7 for 1 dog, and $2 for each additional
dog. Which equation shows this situation,
where x > 1?
A y = 2x + 5
Cy= 5x + 2
B y = 3x + 11 D y = 7x + 11
9514 1404 393
Answer:
A y = 2x + 5
Step-by-step explanation:
The cost per dog is the slope of the cost equation, 2. The equation can be written in point-slope form as ...
y -7 = 2(x -1) . . . . using the point (1, 7)
Simplified, this is ...
y = 2x -2 +7
y = 2x +5 . . . . matches choice A
If 3/4 and 12/x are equlvalent, what is the value of x?
Answer:
[tex] \frac{3}{4} = \frac{12}{x} \\ 3x = (12 \times 4) \\ x = \frac{(12 \times 4)}{3} \\ x = (4 \times 4) \\ x = 16[/tex]
Answer:
x = 16
Step-by-step explanation:
so 3/4 = 12/x
you Can multiply 3/4 by 4 to get
12/16 = 12 / x
you can assume x = 16 since the numerators are the same
Perimeter of a rectangular concrete slab is 102 feet and it's area is 560 ft.² what is the length of the longer side of the slab
Answer:
The longer length is 35ft
Step-by-step explanation:
Given
[tex]Area = 560[/tex]
[tex]Perimeter = 102[/tex]
Required
Determine the longer length
Represent the length with L and width with W
So, we have:
[tex]L * W = 560[/tex] --- Area
[tex]2*(L+W) = 102[/tex] --- Perimeter
Divide both sides by 2 in:
[tex]2*(L+W) = 102[/tex]
[tex]L + W = 51[/tex]
Make L the subject:
[tex]L = 51 - W[/tex]
Substitute 51 - W for L in [tex]L * W = 560[/tex]
[tex](51 - W) * W = 560[/tex]
[tex]51W - W^2 = 560[/tex]
Reorder the equation
[tex]W^2 - 51W + 560 = 0[/tex]
Expand
[tex]W^2 -35W - 16W + 560 = 0[/tex]
[tex]W(W-35)-16(W-35) = 0[/tex]
[tex](W-16)(W-35) = 0[/tex]
Split:
[tex]W - 16 = 0\ \ \ W - 35 = 0[/tex]
[tex]W = 16\ \ \ W = 35[/tex]
This implies that the longer length is 35ft
Solve for x 2x + 3 > 7
Answer:
The answer is x>2
Step-by-step explanation:
2x + 3 > 7
-3 -3
2x > 4
/2 /2
x>2
Answer:
x > 2
Step-by-step explanation:
Given
2x + 3 > 7 ( subtract 3 from both sides )
2x > 4 ( divide both sides by 2 )
x > 2
Find [f g](x) if g(x) = x + 1 and f(x) = 2x ^ 2 - 5x + 8
Answer:
[tex]2x^{2}[/tex] - x + 5
Step-by-step explanation:
g(x)=x+1
f(x)=[tex]2x^{2}[/tex]-5x+8
f∅g(x)=2[tex](x+1)^{2}[/tex]-5(x+1) + 8
= 2([tex]x^{2}[/tex]+2x+1) - 5x - 5 + 8
= [tex]2x^{2}[/tex] +4x +2 - 5x +3
=[tex]2x^{2}[/tex] -x +5
:)
what is the constant of proportionality in the equation x/y=2/9
Answer:
x/y=2/9
y = 9/2 x
Step-by-step explanation:
The constant of proportionality in the equation is 9/2
Answer: C)9/2
Answer:
uh
Step-by-step explanation:
The manager of a shopping center wishes to obtain information on the shopping habits of people in the area. The area
contains four neighborhoods of varying populations. The manager suspects that the shopping habits may be different
in different-sized neighborhoods. Which of the following sampling designs would be most effective in gathering the
information the manager requires?
a convenience sample from the area
O a simple random sample from the area
O a cluster sample using the neighborhoods as clusters
O a stratified sample from the neighborhoods in the area
O an online poll that invites all people from the neighborhoods in the area to participate
Answer:
Option C wil be most effective in gathering the information that the manager requires.
Step-by-step explanation:
Internal and external environment influnces any kind of business. we should have proper knowledge of internal and external factors which affects our business.In given case, Taste and preference affects the demand and supply of consumer and shopping center. So manager must take a stratified sample from the neighbourhoods in the area.
Expression: 7a²b + 362
Polynomial?
Degree?
Terms?
Name?
JUST NEED THE TERM
Answer:
Please check explanations for answer
Step-by-step explanation:
Here, we want to fill out the properties of the given expression
1. Polynomial
Yes, it is a polynomial as it satisfies the properties
2. Degree
The degree is the highest power
we have a raiders to 2 and b raised to 1 giving the total power as 3
3. It has just two terms
4. It is a monomial
Ellie bought 5 chicken wings for $10.00. If Ellie spent $16.00, how many chicken
wings did she buy?
Answer:
In all, she bought 8, or three more.
Step-by-step explanation:
If 5 chicken wings are for ten dollars, that means each wing is 2 dollars.
If each wing is two dollars then you divide the sixteen dollars by 2 dollars getting 8 wings.
Answer:
Ellie can buy 8 chicken wings
Step-by-step explanation:
From what we know, Ellie was able to by 5 chicken wings for $10, when dividing 10 by 5 we now know that each chicken wing could've cost her $2. So in order to find out how many chicken wings she can buy we can divide 16 by 2 and get 8. Hope this helps! :)
Type the correct answer in each box. The point on the number line shows the opposite of , or the opposite of the opposite of .
Answer:
2.5
Step-by-step explanation:
Given
See attachment for number line
Required
Determine the opposite of the point
Represent the point with x; we have to first, determine point x
From the number line:
[tex]x = -2.5[/tex]
The opposite of number x is -x
[tex]-x = -(-2.5)[/tex]
[tex]-x = 2.5[/tex]
Hence, the opposite of the point is 2.5
Solve the equation. You may find using algebra tiles helpful in solving this problem.
x + 4 = −x − 4
x = ?
Answer:
x = -4
Step-by-step explanation:
x + 4 = -x - 4
adding both side with x
x + x + 4 = x - x - 4
2x + 4 = -4
give both side (-4)
2x + 4 - 4 = -4 - 4
2x = -8
x = -8/2 = -4
Which expression is equivalent to (138+5)?
help pleaseee
Answer HI Did you mean:
138 + 5 plz thx for the points
Jessie thinks that the first step in solving the equation shown below could be to use the addition property of his equality. His friend robin thinks that yhe multiplication property of equality could be used first. Who is correct and why? 2/5 x - 3/2 = 5/2 x + 6
Answer:
jessie
Step-by-step explanation:
because math is math
The solution for the given equation is -15/7.
The given equation is [tex]\frac{2}{5}x-\frac{3}{2} =\frac{5}{2}x+6[/tex].
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation can be solved as follows:
[tex]\frac{2}{5}x-\frac{3}{2} =\frac{5}{2}x+6[/tex]
⇒ [tex]\frac{2}{5}x-\frac{5}{2}x=6-\frac{3}{2}[/tex]
⇒ [tex]\frac{4}{10}x-\frac{25}{10}x=\frac{12}{2} -\frac{3}{2}[/tex]
⇒ (-21/10) x =9/2
⇒ x = 9/2 × (-10/21)
⇒ x = 3/1 × (-5/7)
⇒ x = -15/7
Therefore, the solution for the given equation is -15/7.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ6
Find the value of x in the given
right triangle.
12
x = [?]
Enter your answer as a decimal rounded to the
nearest tenth.
Enter
Answer:
[tex]x = 10.6[/tex]
Step-by-step explanation:
[tex] \sin( {62}^{o} ) = \frac{x}{12 } \\ x = 12 \sin( {62}^{o} ) \\ x = 10.6[/tex]
Triangle ABC was dilated with the origin as the center of dilation to create
A'B'C'.
Which rule best represents the dilation that was applied to Triangle ABC to create A'B'C'?
A. (x, y,) (13x, 13y) C. (x, y,) (x - 3, y + 3)
B. (x, y,) (3x, 3y) D. (x, y,) (½ x, ½ y)
Answer:
this is my answers
B. (X,y) (3x.3y)
For each table, determine whether it shows that X and Y are proportional. If X and y are proportional, fill in the blank with a number in simplest form. I REALLY NEED HELP WITH THIS! Please give a detailed explanation! Will mark brainliest if you have a detailed explanation! Note: it can be a fraction.
Step-by-step explanation:
For table 1,
x = 20 36 56 80
y = 4 6 8 10
Taking 20/4 = 5
36/6 = 6
56/8 = 7
80/10 = 8
The value of x/y is not same in any of the cases. The constant of proportionality is different. It means x and y for this table is not proportional.
For table 2,
x = 28 42 56 70
y = 20 30 40 50
Taking 28/20 = 1.4
42/30 = 1.4
56/40 = 1.4
70/50 = 1.4
The value of x/y is same in each case. The constant of proportionality is same i.e. 1.4 in each case.
[tex]\dfrac{x}{y}=1.4\\\\\dfrac{y}{x}=\dfrac{1}{1.4}\\\\\dfrac{y}{x}=\dfrac{5}{7}\\\\y=\dfrac{5}{7}\times x[/tex]
So, y is 5/7 times of the x.
Can you help me on this? Thanks
Answer:
rjjlowiqyyyjjjioiiiffggytdyhhg
solve for y when x=4
-y+5x=2(y+7x)
A. y=18
B. y=7
C. y=4
D. y=-12
Answer:
D.) y=-12
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Hope this helped you!! :)
Correct answers only please... thanks!
Answer:
(0,2)
Step-by-step explanation:
Answer:
The new coordinate is (0, 2)
Step-by-step explanation:
From left to right you are changing the x value and from up to down you are changing the y value. In this case, you are adding 3 units from -3 in which your x-coordinate is 0 and also adding 4 units from -2 in which your y-coordinate is 2.
please no fakes! ill give you brainliest
Answer:
8%
Step-by-step explanation:
$3.20/$40 = 0.08
0.08 = 8%
Which problem can be solved using the equation shown?
Answer: The first one :)
Step-by-step explanation:
8(m – 5) = 2(3m - 8)
help
Answer:
m=12
Step-by-step explanation:
it is right
Answer:
m = 12
Step-by-step explanation:
8(m – 5) = 2(3m - 8)
Distribute the 8 to (m-5) and the 2 to the (3m-8)
8m-40=6m-16
Add 40
8m=6m+24
Subtract 6m
2m=24
Divide 2
m=12
Juanita ran 8.3 miles in Week 1 and 12.09 miles in Week 2. She used the subtraction below to determine how much farther she ran in Week 2 than in Week 1.
12.09 minus 8.30 = 4.79. All decimals are aligned. The 0 in 12.09 is crossed out and a 1 is above it. The 2 is crossed out in 12.09 and a 1 is above it.
Which error did Juanita make?
She subtracted instead of added.
She aligned the decimal points incorrectly.
She did not regroup correctly when subtracting.
She made a computational error when subtracting.
Step-by-step explanation:
12.09 - 8.30 = 3.79
The reason why her answer was wrong is because when the '2' gets slashed into a '1' during carry over, it would have been 11 - 8 = 3 instead of a 4. (the 1st column)
The error that Juanita made is that she made a computational error when subtracting.
Answer:
She made a computational error when subtracting.Step-by-step explanation:
She subtracted instead of added.
No, she needed to subtract to find the difference.She aligned the decimal points incorrectly.
No, she did it right.She did not regroup correctly when subtracting.
No, she regrouped correctly.She made a computational error when subtracting.
Yes. She made an error at last step, instead of subtracting 8 from 11 she subtracted 8 from 12 and got the first digit wrong (4 instead of 3).A triangle has sides measuring 5 inches and 8 inches. If x represents the length in inches of the third side, which inequality gives the range of possible values for x?
Answer:
3 less than or equal to x less than or equal to 13
3 ≤ x ≤ 13
Step-by-step explanation:
Answer: The answer is A.
Step-by-step explanation:
3 < x < 13
Roger can make 3 bird houses in 5 hours. Which proportion could be used to determine how many bird houses Roger could build in 20 hours?
Answer:
the answer should be 12
Step-by-step explanation:
Please help! The Sugar Sweet Company will choose from two companies to transport its sugar to the market. The first company charges $3495 to rent trucks plus an additional fee of $255.50 for each ton of sugar. The second company charges $5500 to rent trucks plus an additional $125.25 fee for each ton of sugar. For what amount of sugar do the two companies charge the same? What is the cost when the two companies charge the same?
Answer:
The cost when the two companies charge the same is $7,703.
Step-by-step explanation:
Let 'x' represent the number of tons.
For x tons the first company will charge:
5297 + 200.50x
For x tons the second company will charge:
6500 + 100.25x
We want to find x so that both companies charge the same, that is:
5297 + 200.50x = 6500 + 100.25x
x = 12 tons
For 12 tons both companies will charge the same.
The cost charged for 12 tones is:
5297 + 200.50*12 = $7,703
Hope this Helps! :)
A rhombus, which is a quadrilateral with 4 equal sides, is plotted on the coordinate plane. The coordinates of the vertices are: (−1,0), (4,0), (2,4), and (7,4). How long is each side of the rhombus?
Answer:
Each side of the Rhombus is 5 units
Step-by-step explanation:
Since the sides of a rhombus area all equal in length;
Then, the length of a side is enough to get the lengths of the other sides
Mathematically, finding the distance between two points out of what we are given will be enough to get the measure of one of the side of the rhombus
We apply the distance formula appropriately to get the distance between the side of the Rhombus
D = √(x2-x1)^2 + (y2-y1)^2
let us use the points (-1,0) and (4,0)
D = √(4 + 1)^2 + (0-0)^2
D = √25
D = 5