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LuckyWell [14K]
3 years ago
7

Dilation of f(x)=3x^2 +12x-15

Mathematics
1 answer:
Reika [66]3 years ago
5 0

Answer:

Sure I will

Step-by-step explanation:

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Please help me with these problems
S_A_V [24]

Answer:

1.a=2

2.  C  x=2  and x=-3

Step-by-step explanation:

The standard form for the quadratic function is  

ax^2 +bx+c

so  we need to rewrite the function to be in this form

2x^2 -10 = 7x

Subtract 7x from each side

2x^2 -7x-10 = 7x-7x

2x^2 -7x-10 = 0

a =2, b= -7  c=-10


2.  The quadratic formula is

-b ± sqrt(b^2 -4ac)

----------------------------

2a


2x^2 + 2x=12

Lest get the equation in proper form

2x^2 + 2x-12 = 12-12

2x^2 +2x-12 =0

a=2  b=2 c=-12

Lets substitute what we know

-2 ± sqrt(2^2 -4(2)(-12))

----------------------------

2(2)

-2 ± sqrt(4+96)

----------------------------

2(2)

-2 ± sqrt(100)

----------------------------

4

-2 ± 10

----------------------------

4

-2 + 10               -2-10

-----------   and  --------------

4                             4

8/4   and -12/4

2  and -3

8 0
3 years ago
Which integer is between -5 and 3?
Gre4nikov [31]
Integers are positive and negative whole numbers. Integers between -5 and 3 are -4, -3, -2, -1, 0, 1, 2
5 0
3 years ago
Read 2 more answers
A fuel tank contains 1 3/4 gallons of gasoline. Casey adds 33 1/3 gallons of
romanna [79]

Answer:

The gallons of gas the tank contain now is <u>35 1/12</u>.

Step-by-step explanation:

Given:

Fuel tank contains 1 3/4 gallons of gasoline.

Casey adds 33 1/3 gallons of  gasoline to the tank.

Now, to find the total gallons of gas the tank contain.

Converting the mixed fractions into improper.

Gallons of gasoline in fuel tank =1\frac{3}{4}=\frac{7}{4}.

Gallons of gasoline Casey adds =33\frac{1}{3} =\frac{100}{3}.

<u>According to question:</u>

By adding we get the total gallons of gasoline now tank contain:

\frac{7}{4} +\frac{100}{3}

=\frac{7\times 3+100\times 4}{12}

=\frac{21+400}{12}

=\frac{421}{12}

=35\frac{1}{12}

Therefore, the gallons of gas the tank contain now is 35 1/12.

5 0
4 years ago
Guys does that mean multiply or like fractions?
Zepler [3.9K]

Answer:

multiply

Step-by-step explanation:

It says for you to multiply.

4 0
2 years ago
Read 2 more answers
Need help ASAP. The diagram shows 5ft student standing near a tree. The shadow of the student and the shadow of the tree at endp
Dmitry_Shevchenko [17]

Answer:

25 ft

Step-by-step explanation:

The 2 triangles are similar hence the ratios of corresponding sides are equal, that is

\frac{x}{5} = \frac{40}{8} = 5

multiply both sides by 5

x = 5 × 5 = 25

The height of the tree is 25 ft

3 0
3 years ago
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