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8090 [49]
3 years ago
15

5x^2-5x-30=0 solve using quadratic

Mathematics
1 answer:
dangina [55]3 years ago
4 0

Answer:

=3

=−2

Step-by-step explanation:

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lisov135 [29]

Domain:\\4-x\neq0\ \wedge\ 4+x\neq0\\x\neq4\ \wedge\ x\neq-4\\\\\dfrac{4}{4-x}=\dfrac{5}{4+x}\qquad\text{cross multiply}\\\\4(4+x)=5(4-x)\qquad\text{use distributive property}\\\\(4)(4)+(4)(x)=(5)(4)+(5)(-x)\\\\16+4x=20-5x\qquad\text{subtract 16 from both sides}\\\\4x=4-5x\qquad\text{add 5x to both sides}\\\\9x=4\qquad\text{divide both sides by 9}\\\\\boxed{x=\dfrac{4}{9}}

6 0
3 years ago
If f(x)=x+8 and g(x)=-4x-3 find (f+g)(x)
nydimaria [60]

Answer:

for this case we have the following functions:

f (x) = x + 8

g (x) = -4x - 3

Subtracting the functions we have:

(f - g) (x) = f (x) - g (x)

(f - g) (x) = (x + 8) - (-4x - 3)

Rewriting:

(f - g) (x) = x + 8 + 4x + 3

(f - g) (x) = 5x + 11

Answer:

D. (f - g) (x) = 5x + 11

7 0
3 years ago
i need help with this questions asap please. A grocery clerk is making a display of oranges. The numbers of oranges in the layer
ahrayia [7]

Answer:

If there is 1 at the top, then you have 1, then 2, then 3, etc.

total number of oranges equals:

1 + 2 + 3 + ... + 16 + 17 + 18 <-- stop at  18 because this is the number of oranges at the base

You can use the formula:

sum of first n numbers = n*(n + 1)/2

-->

18*19/2 = 9*19 = 171

or you can figure it out (basically derive the above formula):

you have:

1 + 18 = 19

2 + 17 = 19

3 + 16 = 19

...

How many pairs do you have?  Well, it's just the number of numbers: 1-18 = 18 numbers (divide by 2) = 9 pairs)

9 pairs of 19 = 9 * 19 = 171

Hope this helps!

Step-by-step explanation:

3 0
3 years ago
Point C has the coordinates (–1, 4) and point D has the coordinates (2, 0). What is the distance between points C and D?
Bad White [126]

Answer:

5

Step-by-step explanation:

Use the distance formula d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

insert the numbers into the formula d=\sqrt{(2+1)^2+(0-4)^2}

2+1=3 and 0-4=-4

3^2 =9 and -4^{2} = 1

9+16=25

the square root of 25 is 5

6 0
4 years ago
Read 2 more answers
Which of the following describes an angle with a vertex at Z?
Tresset [83]
B is the answer and why is bc I took the quiz
5 0
3 years ago
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