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3 years ago

What is the vertex of the following quadratic equation?

Mathematics

1 answer:

kifflom [539]3 years ago

4 0

Answer:

C.(-5, 4)

Step-by-step explanation:

The vertex form of a parabola of this type is:

y = a ( x − h ) 2 + k [1]

where ( h , k ) is the vertex.

Explanation:

Given:

y = 7 ( x + 5 )² + 4 [2]

We can convert equation [2] into the same form as equation [1] by writing

+5 as − − 5 :

y = 7 ( x − − 5) ² + 4 [3]

We observe that the vertex is

( − 5 , 4 )

hope it will help :)

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Meg saved coins she found for a year. She found a total of 95 pennies, 13 nickels, 41 dimes, and 11 quarters. She would like to

Katen [24]

Answer:

40 coins in each piggy bank

Step-by-step explanation:

Add all the coins together.

95 pennies+ 13 nickels+ 41 dimes+ 11 quarters=160 coins

Divide the number of coins by 4.

160 coins divided by 4 piggy banks= 40 coins in each piggy bank

I hope this helps ;)

5 0

3 years ago

Complete the proof in picture

BARSIC [14]

it won't let me type the answer I may be missing something but it says I am using rude words so sorry if I am

5 0

3 years ago

choli [55]

Answer:

$29.50

Step-by-step explanation:

The price that Rob paid includes a 15% discount. This means that Rob paid 85% of the original price.

100% - 15% = 85%

Divide the price Rob paid by the percentage the price is of the total.

85% = 0.85

50.15/0.85 = 59

Now, divide the total price by 2 so that you can find the price of one pair of jeans.

59/2 = 29.50

The price of one pair of jeans is $29.50

5 0

2 years ago

Katie is getting her laundry done it cost $2.25 per square foot of flowers added to the yard if she wants 12.4 ft.² of flowers h

7nadin3 [17]

Answer:

Katie needs to pay $27.9.

Step-by-step explanation:

Given;

Cost of per foot = $2.25

Number of flowers in her yard = 12.4 square foot

We need to find how much she needs to pay.

Solution:

Now we know that;

$1\ ft^2 = \$2.25$

So for $12.4 ft^2$ = Cost for $12.4 ft^2$ .

By using Unitary method we get;

Cost for $12.4 ft^2$ = $2.25\times12.4= \$27.9$

Hence Katie needs to pay $27.9.

5 0

3 years ago

Determine the product, h (x), of the linear and quadratic factors.

Wewaii [24]

$h(x) =8x^3-19x^2+14x-3$

Step-by-step explanation:

Given functions are:

$f(x) = 8x-3\\g(x) = (x-1)^2$

h(x) is the product of g(x) and f(x)

$h(x) = f(x) * g(x)\\= (8x-3)(x-1)^2\\= (8x-3)(x^2-2x+1)\\= 8x(x^2-2x+1)-3(x^2-2x+1)\\= 8x^3-16x^2+8x-3x^2+6x-3$

Combining like terms

$=8x^3-16x^2-3x^2+8x+6x-3\\=8x^3-19x^2+14x-3$

Hence,

$h(x) =8x^3-19x^2+14x-3$

Keywords: Functions, product

Learn more about functions at:

#LearnwithBrainly

8 0

2 years ago