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Tju [1.3M]
3 years ago
14

Nicole Nichols purchased a new carpet for $287 and a vacuum cleaner for $121. What is the sales tax if she

Mathematics
1 answer:
Leto [7]3 years ago
5 0
D. 24.48...................
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The axis of symmetry for the graph of the function is f(x) = x2 + bx + 10 is x = 6. What is the value of b?
joja [24]

Answer:

b=-12

Step-by-step explanation:

we have

f(x)=x^{2}+bx+10

we know that

The equation of a vertical parabola into vertex form is equal to

y=a(x-h)^{2} +k

where

(h,k) is the vertex of the parabola

and the axis of symmetry is equal to x=h

In this problem we have the axis of symmetry x=6

so

the x-coordinate of the vertex is equal to 6  

therefore

For x=6+1=7 -----> one unit to the right of the vertex

Find the value of f(7)

f(7)=7^{2}+b(7)+10

f(7)=59+7b

For x=6-1=5 -----> one unit to the left of the vertex

Find the value of f(5)

f(5)=5^{2}+b(5)+10

f(5)=35+5b

Remember that

f(5)=f(7) ------> the x-coordinates are at the same distance from the axis of symmetry

so

59+7b=35+5b ------> solve for b

7b-5b=35-59

2b=-24

b=-12


3 0
3 years ago
Read 2 more answers
a birthday cake at the bakery was $30 originally. During a sale, a discount of 28% was given. A further 15% discount was given t
V125BC [204]

Answer:

$18.36

Step-by-step explanation:

In this question, we have to find the cost of the cake for the customer who orders a month early.

We know that the original price of the cake is $30.

We also know that there was a 28% discount and a 15% discount added to the purchase.

Remember, You don't add discount percentages together, you discount the prices separately.

Solve:

First, apply the 28% discount.

30 · 0.28 = 8.40

30 - 8.40 = 21.60

Now apply the 15% discount to the new price.

21.60 · 0.15 = 3.24

21.60 - 3.24 = $18.36

They needed to pay $18.36 for the cake.

6 0
3 years ago
Can someone help me with this
n200080 [17]

Answer:

Step-by-step explanation:

for dot plot A, the mean is 90 to the medium becuase it has the most dots out of them all.

8 0
2 years ago
Suppose the z value for a number is –1.50. this means the number is
slega [8]
... 1.5 standard deviations below the mean.
3 0
3 years ago
Which numbers represent the lower quartile, the median, and the upper quartile of the following set of numbers?
kotegsom [21]

Answer:

Lower quartile: 85; median: 97; upper quartile 115.5

Step-by-step explanation:

4 0
3 years ago
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