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enot [183]
3 years ago
15

Write the equation for the quadratic function in standard form

Mathematics
1 answer:
Alina [70]3 years ago
8 0
Y=ax²+bx+c
c is x-int =7 (0,7), so c=7
vertex=(-3,-2),  another point (-6,7)
y=ax²+bx+7

-2=a(-3)²+b*(-3)+7,   -2=9a-3b+7,  ----> -9=9a-3b ---->-3=3a-b
7=a*(-6)²+b(-6)+7,  ---> 0=36a-6b, ---> 0=6a-b

-3=3a-b
0=6a-b ----> b=6a

substitute b=6a in -3=3a-b, so
-3=3a-6a, ----> -3= -3a,   a=1

substitute   a=1, in  b=6a, ---> b=6*1=6

y=ax²+bx+c
y=x²+6x+7






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5 kilograms of coffee are going to be shared equally among 4 people.
kherson [118]

Step-by-step explanation:

I'm not sure if this will help but to find out how much coffee 4 people would need you would have to divide 4 into 5 which is 1 1/5

EQUATION-- 4/5= X

I chose that because / means divide 5 into 4 would give you x we don't know what x is until we actually do the problem

Even if im not correct I hope it helped a bit

5 0
3 years ago
Which number below is a prime number? O A. 61 OB. 102 O C. 75 O D. 64​
d1i1m1o1n [39]

Answer:

Step-by-step explanation:

61 is divisible by itself and 1. It's prime.

102 ends in a 2. Therefore it is not prime because it can be divided by 2,

75 = 3*5*5 not prime.

64 = 2 * 2 * 2 *2 * 2*2 Not prime.

3 0
3 years ago
The set S consists of all odd multiples of 3: S = {..., -9, -3, 3, 9,...}. If the integers x and y are in S, then which of the f
tankabanditka [31]
I think it is gonna be xy

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4 0
3 years ago
Given: \overline{AC} \perp \overline{BD} AC ⊥ BD and \overline{BD} BD bisects \overline{AC}. AC . Prove: \triangle ABD \cong \tr
Fofino [41]

Answer:

The Proof for

△ABD ≅ △CBD is below

Step-by-step explanation:

Given:

\overline{AC} \perp \overline{BD}

\overline{BD} \ bisects\  \overline{AC}

AD = CD      .........BD bisect AC

To Prove:

△ABD ≅ △CBD

Proof:

In  ΔABD  and ΔCBD  

BD ≅ BD              ....……….{Reflexive Property}

∠ADB ≅ ∠CDB    …………..{Measure of each angle is 90°( \overline{AC} \perp \overline{BD} )}

AD ≅ CD              ....……….{ \overline{BD} \ bisects\  \overline{AC} }

ΔABD  ≅ ΔCBD   .......….{By Side-Angle-Side Congruence test}  ...Proved

4 0
3 years ago
Rice weighing 3 3/4 pounds was divided equally and placed in 4 containers. How many ounces of rice were in each?​
IRINA_888 [86]

Answer:

Solution

To solve the problem first we have simplify the improper fraction.

⇒ 33/4 ÷ 4 pounds.

= (4 × 3 + 3) /4 ÷ 4 pounds.

= 15/4 ÷ 4 pounds.

= 15/4 × 1/4 pounds.

= 15/16 pounds.

Now we know that, 1 pound = 16 ounces.

Therefore, 15/16 pounds .

= 15/16 × 16 ounces.

= 15/1

= 15

= 15 ounces.

Answer: 15 ounces.

4 0
2 years ago
Read 2 more answers
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