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Nady [450]
4 years ago
15

hich of the following expressions is equivalent to |x + 4| < 5? A. –5 > x + 4 < 5 B. –5 < x + 4 < 5 C. x + 4 <

5 and x + 4 < –5 D. x + 4 < 5 or x + 4 < –5 Please select the best answer from the choices provided A B C D
Mathematics
1 answer:
Airida [17]4 years ago
5 0

Answer:

option B

Given : |x + 4| < 5

A. –5 > x + 4 < 5

B. –5 < x + 4 < 5

C. x + 4 < 5 and x + 4 < –5

D. x + 4 < 5 or x + 4 < –5

In general , |x|< n where n is positive

Then we translate to -n < x < n

|x + 4| < 5

5 is positive, so we translate the given absolute inequality to

-5 < x+4 < 5

So option B is correct

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For what values of x will the function f(x) = 3x² + 13x - 10 equal zero?
Oduvanchick [21]

Answer:

x = - 5 , x = \frac{2}{3}

Step-by-step explanation:

the values of x that make f(x) zero are the zeros

to find the zeros let f(x) = 0 , that is

3x² + 13x - 10 = 0

consider the factors of the product of  the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × - 10 = - 30 and sum = + 13

the factors are + 15 and - 2

use these factors to split the x- term

3x² + 15x - 2x - 10 = 0 ( factor the first/second and third/fourth terms )

3x(x + 5) - 2(x + 5) = 0 ← factor out (x + 5) from each term

(x + 5)(3x - 2) = 0

equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

3x - 2 = 0 ⇒ 3x = 2 ⇒ x = \frac{2}{3}

4 0
2 years ago
HELPPPPP!!! Can you TEACH ME HOW TO DO THIS and will give b
IRINA_888 [86]

Answer:

yh I can help the answer is 185/1000 bc u have to convert it as a fraction and u can simplify it by 5 then the answer will be 37/200 plz try this if not I will tell u something else

5 0
3 years ago
two groups of friends are sharing apples of the same size. The first group of 3 friends share 4 apples. The second group of 4 fr
nikdorinn [45]

Answer:

The second group

Step-by-step explanation:

The first group is 4 apples for 3 friends.

= 4/3. They each got 1 & 1/3 of an apple.

The second group is 6 apples for 4 friends.

= 6/4. They each got 1 & 1/2 of an apple.

1 1/3 < 1 1/2, so friends in the second group get a larger portion of apples

3 0
3 years ago
Which is bigger, 7/8" or 9/16"?
Iteru [2.4K]
7/8 and 9/16

7*2/8*2 = 14/16

14/16 and 9/16

Now since we have a common denominator, we can compare the numerators.

14/16 is greater, so 7/8 is greater than 9/16

Answer: 7/8 is bigger
5 0
3 years ago
Read 2 more answers
9(m-3)+3m=7m+43 help me please
nikdorinn [45]

Answer:

multiply 9 from m and -3

9m - 27 + 3m = 7m + 43

12m - 27 = 7m + 43

12m - 7m = 43+ 27

5m = 70 cut 70 by 5 in 14 times [ 14 x 5= 70 ]

m = 14 answer ❤️❤️ it is 100% correct now!

6 0
3 years ago
Read 2 more answers
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