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sasho [114]
3 years ago
10

Find the vertex form of the function then find the following a) intercepts b) vertex c) maximum or minimum d) range

Mathematics
1 answer:
Ganezh [65]3 years ago
5 0
Vertex form; y = 5(x - 3)² - 85
x-intercept; (3, +√17, 0) , (3 -√17, 0)
y-intercept; (0, -40)
minimum value at -85
range; [-85, ∞), {y|y ≥ -85}

hope this helps, God bless!
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jeremiah is eating at a restaurant he decides too tip the waiter 18% of his meal. if his meal cost $15.00 how much did he pay in
Slav-nsk [51]

Answer:

$17.70

Step-by-step explanation:

$15.00×18%=$2.70

$15.00+$2.70=$17.70

7 0
3 years ago
The expression −8x3(7x6 − 3x5) is equivalent to?
Mama L [17]

Answer:

-56x^9+24x^8

Step-by-step explanation:

3 0
4 years ago
Determine the value of a + b in the system of equations below. <br><br> 5a + 4b = 22<br> 7a-b= 11
dexar [7]

Answer:

We have a + b as;

2 + 3 = 5

Step-by-step explanation:

Here, we want go get the value of a and b

from the second equation, we can get an expression for b

We have this as;

7a - b = 11

Thus,

b = 7a - 11

Now, from here, we can substitute the value of b into the first equation

We have this as;

5a + 4(7a - 11) = 22

5a + 28a -44 = 22

33a = 22 + 44

33a = 66

a = 66/33

a = 2

Recall;

b = 7a - 11

substituting the value of a from above;

b = 7(2) - 11

b = 14 - 11

b = 3

6 0
3 years ago
Consider the following pair of equations: −x − y = −5 y = x + 1 If the two equations are graphed, at what point do the lines rep
Mnenie [13.5K]
-x - y = -5
y = x + 1

-x -(x + 1) = -5
-x - x - 1 = -5
-2x = -5 + 1
-2x = -4
x = -4/-2
x = 2

y = x + 1
y = 2 + 1
y = 3

solution is : (2,3)
6 0
3 years ago
I have some questions regarding combinations in finite. Here is my first one I am stumped on:
podryga [215]

We will get the number of possible selections, and then subtract the number less than 25 cents.

We can choose the number of dimes 5 ways 0,1,2,3 or 4.
We can choose the number of nickels 4 ways 0,1,2 or 3.
We can choose the number of quarters 3 ways 0,1, or 2.

That's 5*4*3  = 60 selections 

Now we must subtract from the 60 the number of selections of coins that are less than 25 cents. These will involve only dimes and nickels. 

To get a selection of coin worth less than 25 cents:
If we use no dimes, we can use 0,1,2  on all 3 nickels.
That's 4 selections less than 25 cents. (that includes the choice of No coins at all in the 60, which we must subtract).

If we use exactly 1 dime , we can use 0,1,2, or all 3 nickels.
That's the 3 combinations less than 25 cents.

And there is 1 other selection less than 25 cents, 2 dimes and no nickels. 

So that's 4+3+1 = 8 selections which we must subtract from the 60.
 
Answer 60-8 = 52 selections of coins worth 25 cents or more.

8 0
3 years ago
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