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Naily [24]
2 years ago
8

which of the following expressions is equivalent to 3a-2ax4a+6a? (a) 4a^2+6a (b)3a-20a^2 (c) 9a-8a^2 (d) a^2

Mathematics
1 answer:
lianna [129]2 years ago
4 0

Answer:

\boxed{\sf (c) \ 9a - 8 {a}^{2}}

Step-by-step explanation:

\sf Simplify  \: the \:  following: \\  \sf \implies 3a - 2a \times 4a + 6a \\  \\  \sf  - 2a \times 4a =  - 2 {a}^{2} \times 4  :  \\  \sf  \implies  \boxed{ \sf - 2 {a}^{2}  \times 4} + 3a + 6a \\  \\  \sf  - 2 \times 4 =  - 8 :  \\  \sf \implies   \boxed{ \sf- 8} {a}^{2}  + 3a + 6a \\  \\  \sf 3a + 6a = 9a :  \\  \sf \implies 9a - 8 {a}^{2}

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Omar and Caleb each had a repair made on their cars. The initial cost of each repair is $1,000. Omar and
nataly862011 [7]

Answer:

Caleb paid less than Omar by $12.

Step-by-step explanation:

The initial cost of each repair is $1,000.

One  coupon is for $80 off the repair cost. The other coupon is for 15% off the repair cost.

Case 1:

Omar uses the $80 off the repair cost coupon first. He then uses the 15% off the repair cost coupon on  the remaining balance.

Step 1: 1000-80=920

Step 2: 920-(0.15\times920)=782 dollars

Case 2:

Caleb uses the 15% off the repair cost coupon first. He then uses the $80 off the repair cost coupon on  the remaining balance.

Step 1: 1000-(0.15\times1000)=850

Step 2: 850-80=770 dollars

Now, comparing the values we can see that Caleb paid less.

He paid less by 782-770=12 dollars.

8 0
2 years ago
What is the axis of symmetry of h(x) = –2x2 + 12x – 3?
Ksivusya [100]

h(x) = -2x2 + 12x - 3?

The axis of symmetry is :

x = 3

Hope this helps.

Welcome to Brainly!,

Davinia.

8 0
2 years ago
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The distance d (in miles) that you can see to the horizon with your eye level h feet above the water is given by d=3h2−−−√. You
liubo4ka [24]

Answer: He cannot see a ship that is 4.5 miles away.

Step-by-step explanation:

Since we have given that

d=3\sqrt{h}

Here, h is the eye level above the water

d is the distance away.

If h = 12 feet

We will get :

d=3\sqrt{12}\\\\d=3\times 2\sqrt{3}\\\\d=6\sqrt{3}\\\\d=10.39

Hence, it is 10.39 feet away when eye level is 12 feet above the water.

Therefore , he cannot see a ship that is 4.5 miles away.

7 0
2 years ago
which shows the correct substitution of the values a, b, and c from the equation 0 = 4x2 2x – 1 into the quadratic formula below
irinina [24]

0 = 4x^2+2x- 1

Quadratic formula is

x = \frac{-b+-\sqrt{b^2-4ac}}{2a}

'a' is the coefficient of x^2 = 4

'b' is the coefficient of x = 2

'c' is the constant = -1

Now we plug in all the values in quadratic formula

x = \frac{-b+-\sqrt{b^2-4ac}}{2a}

x = \frac{-2+-\sqrt{2^2-4(4)(-1)}}{2(4)}

x = \frac{-2+-\sqrt{18}}{8}

The above one is the substitution of values of a,b,c in quadratic formula.

5 0
2 years ago
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Given: AD ≅ BC and AD ∥ BC Prove: ABCD is a parallelogram. Statements Reasons 1. AD ≅ BC; AD ∥ BC 1. given 2. ∠CAD and ∠ACB are
ira [324]

 Given: AD ≅ BC and AD ∥ BC

Prove: ABCD is a parallelogram.

 Statements                                                                 Reasons

 1. AD ≅ BC; AD ∥ BC                                              1. given

 2. ∠CAD and ∠ACB are alternate interior ∠s          2. definition of alternate                                                                                    interior angles

3. ∠CAD ≅ ∠ACB                                                    3. alternate interior                                                                                          angles are congruent

4. AC ≅ AC                                                              4. reflexive property

 5. △CAD ≅ △ACB                                                  5. SAS congruency                                                                                                   theorem

6. AB ≅ CD                                                            6. Corresponding Parts                                                                                   of Congruent triangles are                                                                               Congruent (CPCTC)

7. ABCD is a parallelogram                                  7. parallelogram side                                                                                         theorem

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5 0
2 years ago
Read 2 more answers
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