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Rufina [12.5K]
3 years ago
6

Quick Algebra questions please :)

Mathematics
1 answer:
bezimeni [28]3 years ago
5 0
1. -4x² + 11x + 2 = 0
     x = -(11) ± √((11)² - 4(-4)(2))
                         2(-4)
     x = -11 ± √(121 + 32)
                     -8
     x = -11 ± √(153)
                  -8
     x = -11 ± 3√(17)
                 -8
     x = -11 ± 3(4.1)  
                -8
     x = -11 ± 12.3
                -8
     x = -11 + 12.3    or    x = -11 - 12.3
                -8                             -8
     x = 1.3         or          x = -23.3
           -8                                -8
     x = -0.1625       or      x = 2.9125
     x ≈ -0.2         or          x ≈ 2.9

The answer is B.

2.          4x² - 3 = 11x
    4x² - 11x - 3 = 0
    x = -(-11) ± √((-11)² - 4(4)(-3))
                         2(4)
    x = 11 ± √(121 + 48)
                      8
    x = 11 ± √(169)
                 8
    x = 11 ± 13
               8
    x = 11 + 13    or    x = 11 - 13
              8                           8
    x = 24         or       x = -2
           8                           8
   x = 3         or          x = -0.25

The answer is C.

3. g(x) = -1(x + 2)² + 5
    g(x) = -1(x + 2)(x + 2) + 5
    g(x) = -1(x(x + 2) + 2(x + 2)) + 5
    g(x) = -1(x(x) + x(2) + 2(x) + 2(2)) + 5
    g(x) = -1(x² + 2x + 2x + 4) + 5
    g(x) = -1(x² + 4x + 4) + 5
    g(x) = -1(x²) - 1(4x) - 1(4) + 5
    g(x) = -x² - 4x - 4 + 5
    g(x) = -x² - 4x + 1

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Which property is used in the following expression ? (a x b) x c = a x (b x c)
Firlakuza [10]
A- Associative Property of Multiplication
4 0
3 years ago
Read 2 more answers
Ben had $100 in his savings account. He adds $5.00 a week to his savings as shown in the graph below. According to this graph, h
bearhunter [10]

Answer:

Option (C)

Step-by-step explanation:

Let the relation between amount of money (m) and Time (t) is represented by the equation,

m = ct + b

Where c = Investment per week

b = Ben already had the amount before investment

From the question,

c = $5 per week

b = $100

Therefore, equation will be,

m = 5t + 100

If duration of the investment 't' = 8 weeks

Amount in the account after 8 weeks,

m = 5(8) + 100

m = $140

Option (C) is the correct option.

3 0
3 years ago
What two numbers multiply to get -42 and add to 11
nataly862011 [7]
To find out the answer, let's factor out -42 (as if it's a positive number).

42: 1 x 42, 2 x 21, 3 x 14, 6 x 7.

With these given factors and due to the product being negative, we will go on and off with them being negative to find which sum up to 11.

Let's try 1 and 42.

-1 + 42 = 41
-42 + 1 = -41.

1 x 41 is not our answer.

Let's try 2 and 21.

2 - 21 = -19
-2 + 21 = 19

2 x 21 is not our answer.

Let's try 3 and 14.

-3 + 14 = 11
3 - 14 = -11.

Your answer is:

-3 and 14 sum up to 11 and make a product of -42.

-3 and 14 are your numbers.

I hope this helps!
8 0
3 years ago
Can anyone help me do this please
allochka39001 [22]

Answer:

1) ∆BIG= ∆FAJ (i can't read it perfectly but i think these are the correct letters)

2)TNY

3) QWE(maybe F, cant read it perfectly)

4) VOR

5) AYD

6) GNH

7) MSE

8) TCA

9) ATE

Step-by-step explanation:

you need to look at the hashes, each segment that had one hash, is equivalent to the other segments with one hash, and so on. then you have to look and see which segments match on each shape. so let's say that if H is the same as A, and I is the same as B, and J is the same as C, then in ∆ HIJ, it would be equivalent to ∆ABC

5 0
2 years ago
Latisha and Raquel order two drinks for $1.50 each, two dinners for $12.99 each and share one desert for $3.50. What expression
enot [183]

Answer:

2( 1.50 + 12.99 + 3.50) = $36.08

Step-by-step explanation:

That is the distributive property way.

You multiply 2 by every number and add them all together.

5 0
3 years ago
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