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ddd [48]
2 years ago
13

Laura determined the difference between 8 and –2 using the additive inverse. Her steps are shown below.

Mathematics
2 answers:
horrorfan [7]2 years ago
7 0

Answer:

8 should have remained positive.

Step-by-step explanation:

NNADVOKAT [17]2 years ago
6 0

Answer: The 8 should have remained positive.

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If (x + 2 ) is a factor of x3 − 6x2 + kx + 10, k =
BartSMP [9]
If a binomial x-a is a factor of a polynomial p(x), then p(a)=0.

x+2 is a factor of p(x)=x³-6x²+kx+10, so p(-2)=0.

p(-2)=0 \\
(-2)^3 - 6 \times (-2)^2 + k \times (-2) + 10=0 \\
-8-6 \times 4-2k+10=0 \\
-8-24-2k+10=0 \\
-2k-22=0 \\
-2k=22 \\
k=\frac{22}{-2} \\
\boxed{k=-11}
8 0
4 years ago
Read 2 more answers
Which expressions are equivalent to 1 divided m/6? Check all that apply
jenyasd209 [6]

Answer:

option A, option C, option D

Step-by-step explanation:

a) 1 ÷ m/6

can be written as

\frac{1}{1}÷ \frac{m}{6}

b) sides in (m/6) will change if both has to multiply

c) 1 ÷ m/6

can be written as

1 * 6/m

1(\frac{6}{m}) and wont make change to answer. so matches with the question.

d)

1 ÷ m/6

1 * 6/m

1 * 6 * \frac{1}{m}

6 * \frac{1}{m}

6 ÷ m ..therefore true

e)

1 ÷ m/6

1 * 6/m

6/m    ....does not match or can be converted to the following so wrong

  • Therefore A, C, D are correct and B and E is wrong.
6 0
3 years ago
Solve the inequality and express your answer in interval notation<br> x^2+8x-7&lt;0
balandron [24]

Answer:

  • (-8.8, 0.8)

Step-by-step explanation:

  • x^2+8x-7<0
  • x^2 + 8x + 16 - 23 < 0
  • (x + 4)^2 < 23
  • |x + 4| < √23 ≈ 4.8

1 .

  • x + 4 < 4.8
  • x < 0.8

2.

  • -(x + 4) < 4.8
  • x + 4 > - 4.8
  • x > - 8.8

<u>Combination of the two intervals:</u>

  • x = (-8.8, 0.8)

4 0
3 years ago
Which two operations are needed to write the expression that represent eight more than the product of a number and two
lakkis [162]
Addition and multiplication
hope this is correct and helps
6 0
3 years ago
A snail moves at a speed of 3.147 inches per minute. If the snail keeps moving at this rate, about how many inches will it trave
aleksandr82 [10.1K]

We can write a proportion for this question...

3.147/1=x/5.747

We can now solve for x by using cross multiplication.  Multiply 3.147 and 5.747 and you get 18.085809.  X times 1 is just x.  x=18.085809.  Although this seems like a crazy number it is a correct value


3 0
4 years ago
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