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3 years ago

Which quadratic equation is equivalent to (x + 2)2 + 5(x + 2) – 6 = 0?

Mathematics

1 answer:

Anna35 [415]3 years ago

6 0

Answer:

x² + 9x + 8 = 0

Step-by-step explanation:

A quadratic equation is expressed this way: ax² + bx + c = 0

So, so find the quadratic equivalent of (x + 2)² + 5(x + 2) – 6 = 0, we just have to do the multiplications then simplify.

(x + 2)² + 5(x + 2) – 6 = (x² + 4x + 4) + (5x + 10) - 6

After merging the terms of same degree, we get:

x² + 9x + 8 = 0

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if the lesser of two consecutive even integers is seven more than half the greater, what are the two integers?

beks73 [17]

Answer: 16 and 18

Step-by-step explanation:

Let the lesser of two consecutive even integers is x.

Hence, the bigger of two consecutive even integers is (x+2).

$\displaystyle\\x-\frac{x+2}{2}=7 \\$

Multiply both parts of the equation by 2:

$x(2)-(x+2)=7(2)\\2x-x-2=14\\x-2=14\\x-2+2=14+2\\x=16\\x+2=16+2\\x+2=18$

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1 year ago

Solve the system of equations using substitution.

Lynna [10]

Answer:

(6,12)

Step-by-step explanation:

Substitute the value of y into y=2x:

x+6=2x

x=6

Substitute x into the equation of y=2x

y = 2*6 = 12

(6,12)

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2 years ago

Two trains leave Raleigh at the same time one traveling north and the other south the first train travels at 50 miles per hour a

Elis [28]

Answer:

<h2>2.5 hours</h2>

Step-by-step explanation:

Step one:

given data

for train one

speed= 50miles per hour

for train two

speed= 60miles per hour

the total distance between both trains=275miles

Step two:

the expression for speed= distance/time

so that, distance= speed*time

let the time be t

we are going to combine both distances

train one distance =50t

train two distance =60t

Hence total distance

50t+60t=275

110t=1=275

t=275/110

t=2.5 hours

<u>It will take 2.5 hours</u>

4 0

2 years ago

Please answer this correctly without making mistakes

marysya [2.9K]

Answer:

A digit that makes this sentence true is 4.

Step-by-step explanation:

Since the first digit in the number to the left is 3, you simply have to find a digit greater than 3. Here are the possibilities:

and

Out of any of these you can choose, I chose 4.

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2 years ago

Sam raked 3 bags of leaves in 16 minutes. If he continues to work at the same rate, about how long will it take him to rake 5 ba

kicyunya [14]

Answer:

26 minutes and 40 seconds

Step-by-step explanation:

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3 years ago