Henri bought 3 jars of spaghetti sauce. He used a coupon that reduced the cost of each jar by $0.75. If he paid $6.72 altogether, what was the regular price?

Answers

Answer 1
Answer:

Answer:  $8.97

Step-by-step explanation:

he bought three jars and lowered the price by 75 cents for each, so multiply $0.75 by three

$0.75 * 3 = $2.25

so henri saved $2.25 in total

we can add that to what he paid to find the original cost

$6.72 + $2.25 = $8.97

so the original price was $8.97 :)


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How do I find the vertex of the equation y= (x+7)^2 - 5 ?

Answers

Follow through with the function (x+7)²
(x+7)² is the same as (x+7)(x+7).
You get x² + 14x + 49
Plug it back into the equation to get 
y=x² + 14x + 49 - 5, which equals y=x² + 14x + 44
The formula for the x point in the vertex is -b/2a. (a is x² and b is x)
So -14/2 = -7 = x
Plug this into the equation.
y=-7² + 14(-7) + 44
y=49 - 98 + 44
y=-5

(-7, -5)

I apologize for the error beforehand--I typed 49 instead of 44 and ended up with 0 instead of -5. 
If you have an equation in the vertex form y=(x-h)^2+k the vertex is (h,k)

In your case h=-7,k=-5 so the vertex is (-7,-5)

Solve (if you can (ha ha ha)).

x^7-128=0

Answers

Step 1: Add 128 to both sides.
x^7−128+128=0+128
x^7=128
Step 2: Take root.x=(128)^(1/7)
x=2
Answer:
x=2
x^7 -128= 0
⇒ x^7 -2^7= 0 (because 2^7= 128)
⇒ x^7= 2^7
⇒ x= 2

The final answer is x=2~

What value of c makes x2 − 24x + c a perfect square trinomial?−144
−48
48
144
Unsubs

Answers

x² - 24x + c

perfect square trinomial: a² + 2ab + c²
a² = x² ⇒ x * x
2ab = -24x ⇒ 2(-12)x
c² = (-12)² = 144

x² - 24x + 144

The value of c to create a perfect square trinomial is 144.

Answer:

144

Step-by-step explanation:

if one apartment requires 36 square yards of carpeting how many square yards of carpeting do 25 identical apartments require

Answers

The answer is 900 square yards of carpeting.
you will need 900 square yards.

Line BC reflects about a line such that N is the reflection of B and O is the reflection of C. Point N is shown on the coordinate plane, but point O is not. What will the coordinates of point O be?(1, 5)
(3, 5)
(5, 5)
(6, 5)
(5,5)
(3,5)

Answers

    If the line BC reflects about a line and point N( 3, 5 ) is the reflection of point B ( 3 , 7 ) then the reflection of C ( 5, 7 ) is O ( 5 , 5 ).
Answer: C ) ( 5, 5 ) 

Answer:

(5,5)

Step-by-step explanation:

Given that B has coordinates as (3,7) When reflected about a line the new coordinates are (3,5)

This implies that by reflection x coordinate remains the same but y reduced by 2 units.

Apply the same logic for unknown O.

C is reflected to O.

Original coordinates of C are (5,7)

Hence new coordinates i.e. that of O would be

x coordinate same as 5

y coordinate 2 less = 7-2 = 5

COordinates of O are (5,5)

When using the binomial formula, which of the following is a correct step in the expansion of (x+y)4

Answers

x+y=4 is a correct step