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timurjin [86]
3 years ago
10

write a rational expression involving one variable for which the excluded values are -4 and -7. Please Help!!!!!!

Mathematics
1 answer:
lions [1.4K]3 years ago
3 0

Answer:

See below.

Step-by-step explanation:

Values are excluded if they make the denominator zero, so one rational expression could be:

(x^2 - 9) /  (x + 4)(x + 7)

- when x = -4 or -7 then the denominator is zero so the values of the function is undefined for these values.

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Solve the equation. -7 = -1 + x/3
pochemuha

Answer:

x= -18

Step-by-step explanation:

We want to isolate x ( move everything to the other side of the equation)

-7 = -1 + x/3

-6 = x/3

x= 3*-6

x= -18

6 0
3 years ago
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Candy draws a square design with a side length of x inches for the window at the pet shop. She takes the design to the printer a
soldi70 [24.7K]

Answer:

length of side of square = (4x - 5) inches

Step-by-step explanation:

We are given;

Area of square = 16x² – 40x + 25

Let's find the roots of this quadratic equation [-b ± √(b² - 4ac)]/2a

Thus;

x = [-(-40) ± √((-40)² - 4(16 × 25)]/(2×16)

x = [40 ± √(1600 - 1600)]/32

x = (40 ± 0)/32

x = 40/32

x = 5/4

Thus, the factors of the polynomial are;

(4x - 5)²

So,

Area = 16x² – 40x + 25 = (4x - 5)²

Since, the right hand side is (4x - 5)² and area of square is (length of side)², thus we can say that length of side of square is (4x - 5) inches

6 0
2 years ago
A class of 20 boys and 15 girls is divided into n groups so that each group has x boys and y girls. Find x, y and n. what values
melamori03 [73]
20 = 2 x 2 x 5
15 = 3 x 5

common divisor (CD) of 20 and 15 is 5 so n should be 5 and each group has 4 boys and 3 girls.

If there are more than one CD, then there are more than one answer.

If they ask for the largest number of groups, greatest common divisor (GCD) will be the answer.
4 0
3 years ago
Reagan uses 2 3/4 cups of vinegar in her salad dressing recipe. How much vinegar would Reagan use to make 5 recipes?
igor_vitrenko [27]

Answer:

13 3/4

Step-by-step explanation:

2 3/4 is 11/4 when converted into an improper fraction.

5 is 5/1 when converted into a fraction.

11*5 is 55 (numerators)

4*1 is 4 (denominators)

55/4 is 13 with 3/4 remaining

13 3/4

5 0
3 years ago
Read 2 more answers
the teacher of a senior class needs to choose 4 members of the class to represent the school. if there are 10 seniors in the cla
3241004551 [841]
There are 10 seniors in the class, from which 4 should be chosen by the teacher. The order of the chosen students does not matter. This means that we speak of combinations. THe equation for calculating the number of possible combinations is:
C=N!/R!(N-R), where N is the total number of objects and R is the number of objects we select from the N 
In our case, N=10, R=4.
C= 10!/4!*6!=10*9*8*7*6!/6!*4*3*2*1=<span>10*9*8*7/24=5040/24=210
There are 210 different ways for the teacher to choose 4 seniors in no particular order.</span>
6 0
3 years ago
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