Answer:
f(x) = (x -3)^2 - 1
Step-by-step explanation:
f(x) = x^2 - 6x + 8
a = 1, b = -6 and c = 8
So we are finding half of the b equation (ignore the negative sign)
Half of 6 is 3, so we are going to square 3 (3^2 = 9) and add 9 to the left side and subtract 9 to the right side
(x) = (x^2 - 6x + 9) + (8 - 9)
You can tell the polynomial is a perfect square, so we will have to factor it using the perfect square method
(x^2 - 6x + 9)
square toot of x^2 is x and square root of 9 is 3 and the operation sign after the a number is a minus sign
(x -3)^2
Don't forget the rest of the equation from before
(x -3)^2 + (8 - 9)
(x -3)^2 - 1
So the equation is f(x) = (x -3)^2 - 1
Keelin’s hourly rate went from $9.50 per hour to $10.26 per hour. What is the percent increase?
Answer:
8%
Step-by-step explanation:
help pls i’ll mark as brainliest if correct
Answer:
B
Step-by-step explanation:
Do you think that every subtraction problem can be rewritten as an addition problem that gives the same result? Write a convincing argument, using examples. (Think about how they are related.)
Answer:
If you have the answer to the proble then yes
Step-by-step explanation:
for exampe 9+8=17 can be rewritten as 17-9=8
Can someone please help me find out which triangles are congruent and why please
Answer:
D and F
Step-by-step explanation:
They have the same dimensions
Mental math Solve the equation n/10+5=12
A store marks up a laptop 150% from its original price of $299. There is a sale for 25% off all items in the store. What is the sale price for the computer?
Answer:
B. 336. 38
Step-by-step explanation:
So, what you want to do is multiply the original price ($299) by the first markup percentage (150%)
299*1.50= $448.50
that is your markup price!
then you have to do the sale % (25%)
so you'll multiply your (25%) by your new price ($448.50)
448.50*.25= $112. 125
THIS IS NOT YOUR ANSWER!
don't forget that!
you will then subtract the sale price ($112.125) by the upcharged price ($448.50)
448.50-112.125= 336. 375
Round up then there is your answer!
= $336. 38
hope this helps!!
3/4 (12x+8)=-13- (2x+3)
Answer: = − 2
Step-by-step explanation:
find the two smallest consecutive even intiger whose sum is at least 51 .
Answer:
26 + 28 = 54
Step-by-step explanation:
These are the smallest two even consecutive numbers that sum up to atleast 51
Add
f(x) = 4x2 + 5x-1
g(x) = 2x2 + 5x + 3
Which graph represents the function f(x) = 4x
Answer:
[tex]\boxed{\textsf{ The required graph of y = 4x will be a straight line passing through the origin . }}[/tex]
Step-by-step explanation:
Here we need to plot the graph for the function given to us . The function is ,
[tex]\sf \implies f(x)= 4x [/tex]
In order to plot a graph let us assume that ,
[tex]\sf\implies y = f(x) [/tex]
Hence we now get , that ,
[tex]\sf\implies y = 4x [/tex]
Now let's find out some values of x and y taking which we will plot the graph .
• So , firstly let , x = 0 then y will be equal to 4*0 = 0 . Hence we got one coordinates as (0,0) .
• Secondly let x = 1 , then y will be equal to 4*1 = 4 . Hence we get the third coordinate as (4,0) .
• Thirdly let us take that x = 0.5 then y will be equal to 4*0.5 = 2 . Hence we got the third coordinate as ( 0.5 , 2 )
• Fourthly let x = -0.5 then y will be equal to 4*-0.5 = -2 . Hence the fourth coordinate will be (-0.5 , -2)
Now when we plot it's graph taking suitable scale then it will look something like that as shown in attachment .
For the graph of y = 4x kindly refer to the attachment :) .
★Hence the graph of y = 4x will be a straight line passing through the origin.Camillo is making gourmet peanut butter and jelly sandwiches for a food challenge. What is the unit price of a loaf of bread at each store? Store A: Store B: Store C: Store D:
Answer:
The answer is below
Step-by-step explanation:
A 2-column table with 4 rows. Column 1 is labeled Store with entries A, B, C, D. Column 2 is labeled Advertised Bread Prices with entries 3 loaves for 5 dollars and 94 cents, 4 loaves for 7 dollars and 80 cents, 5 loaves for 10 dollars and 5 cents, 6 loaves for 12 dollars and 12 cents.
Camillo is making gourmet peanut butter and jelly sandwiches for a food challenge.
PLS HELP ASAP!!What is the unit price of a loaf of bread at each store?
Store A:
Store B:
Store C:
Store D:
Solution:
The unit price of an item is the price for a single unit of measure of that item. It is measured in price / unit measure.
unit price of a loaf of bread at each store = cost of the loaf of bread / number of loaves
For store A, unit price = $5.94 / 3 loaves = $1.98 per loaf
For store B, unit price = $7.80 / 4 loaves = $1.95 per loaf
For store C, unit price = $10.50 / 5 loaves = $2.10 per loaf
For store D, unit price = $12.12 / 6 loaves = $2.02 per loaf
Answer:
yup the person above me is right but for C its $2.01 :>
Step-by-step explanation:
Hope this helps!!
Help pls I don’t know
Answer:
z-7
Step-by-step explanation:
hope this helped!
The equation C(l) = l3 – l2 + l + 2.5 models the cost to mail a package as a function of its length. To the nearest quarter inch, approximately what is the length of a package that costs $11.00 to mail? Enter your answer as a decimal.
Answer:
2.25
Step-by-step explanation:
Given the cost model:
C(l) = l3 – l2 + l + 2.5
l = Length fo package
The length of a package that cost $11.00
11 = l³ - l² + l + 2.5
From the table given :
Length of mail which cost $11 will just be slightly greater Than 2 as the cost of 2 length mail cost 8.50
Taking l as 2.20
2.2^3 - 2.2^2 + 2.2 + 2.50 = 10.508
Taking a slightly higher value :
Put l = 2.25
2.25^3 - 2.25^2 + 2.25 + 2.50 = 11.078
Ww can conclude that the length of mail would be 2.25
Answer:
2.75
Step-by-step explanation:
Find the curved surface area of the spheres whose radius r = 3.5cm
Answer:
154 cm²Step-by-step explanation:
[tex]A=4\pi r^2\\\\r=3.5\,cm\\\\ A=4\pi(3.5)^2=49\pi=153.93804...\approx154\ cm^2[/tex]
(2/3 x t) x 1 1/2
Pls help
PLZ HELP ME......WILL GIVE BRAINLIEST. THANKYOU!!!!. there are two pictures.
Step-by-step explanation:
The perimeter of the rectangle is 2(x+y)
area of the rectangle is xy
The length of a rectangle is equal 3x - 2. The width of the rectangle is equal to
x2 - 4x + 8. Which expression is equal to the perimeter of the rectangle?
pls answer someone
Answer:
14x-4
Step-by-step explanation:
2(3x-2)+2(2x-4x+8)
6x-4+4x-8x+16x
14x-4
find th length of size ab give your answer to 3 significant figures
Answer: 8.856cm
Step-by-step explanation:
To solve the question, we will use the formula:
Sin 41° = opposite / hypothenuse
0.656 = opposite / hypotenuse
0.656 = AB / 13.5
Cross. Multiply
AB = 13.5 × 0.656
AB = 8.856cm
please help me please will give brainliest
Answer:
12) You should "Never drop trash on the ground"
13) I believe "Everyone should be aware about littering"
14) I believed "that everyone should know littering is bad "
15) Do you think "Littering is bad?"
16) I can't stand "when people do not care about littering "
17) It is important "to be aware about littering and the effect it has on the world"
Step-by-step explanation:
The ratio of lemons to lime in a punch is 6:4. If there are 35 fruit in the punch, how many of them are lemons?
Answer:
21 lemons
Step-by-step explanation:
If the ratio is 6:4, the ratio is also equal to 3:2. This means, for every 3 lemons, there are two limes.
So, if there are 35 lemons and limes in total, we would have 21 lemons and 14 limes.
Let me know if this helps!
6 of 12
© Dale is following this recipe to make shortbread fingers.
Dale uses 150 g of butter.
How many shortbread fingers does he make?
Recipe: Makes 20 fingers
125 g butter
55 g sugar
180 g flour
The result of increasing a number by -4 is 7. What is the number?
What is the answer?
Answer:
11
Step-by-step explanation:
I'm guessing you meant decreasing and 4 less than 11 is 7
help right now plz lots o points BRAINLIEST
Answer:
x>-25
Step-by-step explanation:
hope this helps!
Answer:
[tex]x < 25[/tex]
Step-by-step explanation:
[tex]-\frac{3}{10} x -7 +7 < \frac{1}{2} + 7[/tex]
[tex]-\frac{3}{10} x < \frac{15}{2}[/tex]
[tex]-\frac{3}{10} x (\frac{10}{3} ) < \frac{15}{2} (\frac{10}{3} )[/tex]
[tex]x < \frac{150}{6}[/tex]
[tex]x < 25[/tex]
Hope it helps!
PLEASE HELP ME!
Solve: system by elimination form
1.
2x + y = 25
3y = 2x - 13
----------------------------------------------------
I WILL GIVE BRAINLIEST TO HOWEVER GETS THIS FIRST :D
Which of the following is equivalent to 2 · (4 · 3)?
A. 2 + (4 + 3)
B. 2 x (6 x 4)
C. (2 x 4) x 3
D. 8
Answer:
C. (2 x 4) x 3
Step-by-step explanation:
Solve 2 x (4 x 3) = 24
Solve the other values to find one equivalent.
A. 2 + (4 + 3) = 9
B. 2 x (6 x 4) = 48
C. (2 x 4) x 3 = 24
D. 8 = 8
This leaves C as the only equivalent option.
Vincent van Gogh is making one-color versions of all his paintings. He uses the colors in the following order and then starts over from the beginning: red blue pink green a purple. what color is painting 31?
Answer:
The color of painting 31 is RED
Step-by-step explanation:
it should be red :)
Vincent vanThat answer is 37
Which explicit equation below matches the given recursive equation? t (n+1) = t (n) -3 t (1) = 8
A. t (n) = 11 - 3n
B. t (n) = -3n + 5
C. t (n) = 3n - 8
D. t (n) = 8 - 3n
PLEASE HELP!!!
Answer:
B because it would need to be a negative number
Pls what’s the answer
Answer:
50°
Step-by-step explanation:
(360° - 130°×2)/2
(360° - 130°×2)/2
(360° - 130°×2)/2
write an equation of the line that passes through the points (0,3) and (2,11) y=?
Answer:
y=4x+3
Step-by-step explanation:
find the slope using y2-y1/x2-x1
11-3/2-0
simplify
8/2
simplify
4
find b by using the equation y=mx+b
since we know 4 is the slope, plug it in for m
plug an ordered pair into y=4x+b
3=4(0)+b
3=b
plug b in y=4x+b
y=4x+3
10. Write an expression in simplified form to
represent the area of the trapezoid.
Answer:
48[tex]x^{7}[/tex]y
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the height and b₁, b₂ the parallel bases , then
A = [tex]\frac{1}{2}[/tex] × 4[tex]x^{5}[/tex] × (9x²y + 15x²y )
= 2[tex]x^{5}[/tex] × 24x²y
= 48[tex]x^{7}[/tex]y
The simplified expression for the area of the trapezium is 30[tex]x^7y[/tex] + 18[tex]x^7[/tex][tex]y[/tex].
What is trapezium?A trapezium is a quadrilateral with four sides where two sides are parallel to each other.
We have,
Trapezium.
Height = 4[tex]x^5[/tex]
Parallel sides are 15x²y and 9x²y.
The area of the trapezium.
= 1/2 x h x ( sum of the parallel sides )
Now,
Area of the trapezium.
= 1/2 x 4[tex]x^5[/tex] x (15x²y + 9x²y)
= 2[tex]x^5[/tex] x (15x²y + 9x²y)
= 30[tex]x^7y[/tex] + 18[tex]x^7[/tex][tex]y[/tex]
Thus,
The area of the trapezium is 30[tex]x^7y[/tex] + 18[tex]x^7[/tex][tex]y[/tex].
Learn more about trapezium here:
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