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notsponge [240]
3 years ago
13

What substitution should be used to rewrite 6(x + 5)2 + 5(x + 5) – 4 = 0 as a quadratic equation? u = (x + 5) u = (x – 5) u = (x

+ 5)2 u = (x – 5)2
Mathematics
1 answer:
Pachacha [2.7K]3 years ago
5 0
6(x+5)² + 5(x+5)-4 = 0

(x+5)(x+5) = x(x+5)+5(x+5) = x² + 5x + 5x + 25 = x² + 10x + 25

6(x²+10x+25) + 5(x+5) - 4 = 0
6x² + 60x + 150 + 5x + 25 - 4 = 0
6x² + 60x + 5x + 150 + 25 - 4 = 0
6x² + 65x + 171 = 0

<span>u = (x + 5)</span>
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Solve for x in the literal equation −3 = xy + z.
earnstyle [38]
- 3 = xy + z

xy + z =  - 3

subtract z  from both sides:

xy +z - z = -3 - z

yx = - 3 - z

Divide both sides by y :

yx / y = - 3 - z / y

x = -3-z / y

y ≠ 0

hope this helps!


7 0
3 years ago
Read 2 more answers
What is the answer to -5f=-3(8-f)
Semmy [17]

Answer:

Step-by-step explanation:

-5f=-3(8-f)

Opening bracket

-5f = - 24 + 3f

Collecting like terms

-5f - 3f = -24

-8f = -24

Dividing by -8

f = -24/-8

f = 3

4 0
4 years ago
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Based on the graph of the line below, which describes the relationship between the value of the y-intercept and the
stepan [7]

Answer:

y intercept = 3

m = \frac{1}{3} --- slope

Step-by-step explanation:

Given

The attached graph

Required

Determine the slope and the y intercept

The y\ intercept is at the point where x = 0.

From the graph:

y = 3;\ when\ x = 0

Hence,

y intercept = 3

Next, we calculate the slope using:

m = \frac{y_1 - y_2}{x_1 - x_2}

Where:

(x_1,y_1) = (0,3)

(x_2,y_2) = (9,6)

So, we have:

m = \frac{3 - 6}{0 - 9}

m = \frac{-3}{- 9}

m = \frac{3}{9}

m = \frac{1}{3}

6 0
3 years ago
Goldbach’s conjecture states every even number greater than 2 can be written as the sum of two prime numbers which sum for 30 su
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3 0
3 years ago
Suppose a new car is worth $30,000. You can use the function y=30,000(0.85)^x to estimate the car’s value after x years. What is
ANEK [815]
The decay factor here is 0.85, and it means the car’s value changes by 85% every year, or goes down by 15% every year.



The formula for exponential decay is y = a(1 - b)^x

y is the final amount.

a is the initial amount, which is $30,000 in this case.

(1 - b) is the decay factor, or the number the original value gets multiplied by each year, which is 0.85 here.

b is the percent decrease in decimal form. In this case, we can find it using the formula (1 - b) = 0.85. We soon find that b = 0.15, or 15%.

x is the number of years.
5 0
3 years ago
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