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2 years ago

What is the following shows the factors of 5x^2+17x+6

Mathematics

2 answers:

ElenaW [278]2 years ago

6 0

(5x+2)(x+3)

Explanation:

Find factors of 5and 6 whose products ADD to 17

It might take a bit of trial and error to find the correct combination of factors.

........5 and 6
.......↓ ↓
........5 2 →1×2=2
........1 3 →5×3=15−−
...............................................17

egoroff_w [7]2 years ago

3 0

Δ=17^2-4×5×6=0

289-120=169

x1,2= - 17/10 +or- 13/10

x1,2=-30/10= - 3
Or
x1,2=-4/10 = - 2/5

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Prove algebraically that (m + 2)2 – m 2 – 12 is always a multiple of 4

Julli [10]

Answer:

$(m + 2)^{2} - m^{2} - 12 = 4(m - 2)$

Step-by-step explanation:

Step 1:

Write the expression

$(m+2)^{2} - m^{2} - 12$

Step 2: Expand $(m + 2)^{2}$

$(m+2)^{2} - m^{2} - 12\\(m+2)(m+2) - m^{2} - 12\\m^{2} + 2m + 2m + 4 - m^{2} - 12$

Step 3: Collect similar terms

$m^{2} - m^{2} + 4m + 4 - 12\\4m - 8$

Step 4: Factor 4 out of the expression to prove that the expression is a multiple of 4.

$Therefore\\4m - 8 = 4(m - 2)\\Hence,\\(m+2)^{2} - m^{2} - 12 is a multiply of 4 because the expression is equal to 4(m-2)$

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2 years ago

Find the domain of the function. (Enter your answer using interval notation.)

Andreas93 [3]

Answer:

$(-\infty,-9)\cup(-9,\infty)$

Step-by-step explanation:

The domain of a rational function is all real numbers except for when the denominator equals 0.

So, to find the domain restrictions, set the denominator to 0 and solve for x.

We have the rational function:

$s(y)=\frac{7y}{y+9}$

Set the denominator to 0:

$y+9=0$

Subtract 9:

$y\neq-9$

So, the domain is all real numbers except for -9.

In other words, our domain is all values to the left of negative 9 and to the right of negative 9.

In interval notation, this is:

$(-\infty,-9)\cup(-9,\infty)$

And we're done :)

4 0

2 years ago

What is the angle of rotation of the image? A. 60° B. 90° C.120° D. 180°

lisov135 [29]

Answer:

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2 years ago

John works 6 hours a day and earns $150.00. Peter works 8 hours a day and earns $160.00. Who earns more money per hour?(think un

Zanzabum

Step-by-step explanation:

John

1hour=x

6x=150

X=150÷6=25

John earns 25 dollars per hour

Peter

1hour=x

8x=160

X=160÷8=20

Peter earns less than John

6 0

2 years ago

Oil prices are projected to increase by 50% by next March. A quart of oil currently costs $1.85. What is the projected cost of a

Zolol [24]

Answer:

$11.10 per gallon.

Step-by-step explanation:

There are 4 quarts in a gallon so the cost of a gallon of oil currently is 1.85×4=$7.40

If the gallon price of oil goes up 50% then our answer is: 7.40× $\frac{3}{2}$ = $\frac{22.2}{2}$ =11.1

The price of oil in March will be $11.10 per gallon.

6 0

2 years ago