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3 years ago

How do you factor 6x^2+14x+4

1 answer:

Taya2010 [7]3 years ago

3 0

(3x+1) (2x+4)

When the first number has multiple factors (like 6) it often times seems to be the factors that are closest together (3×2 instead of 6×1) So I usually use that as a starting point and play with the numbers until you find your answer. The more you do it, the easier it gets. And remember to always check your answer!

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Peregrine Falcons have been known to dive at a rate of 200 miles per hour. How many miles per second is this when rounded to the

mario62 [17]

Answer:

$0.056\ \frac{miles}{second}$

Step-by-step explanation:

we know that

The rate is equal to

$200\ \frac{miles}{hour}$

Remember that

$1\ hour=3,600\ seconds$

substitute

$200\ \frac{miles}{hour}=(200/3,600)\ \frac{miles}{seconds}=0.056\ \frac{miles}{second}$

4 0

4 years ago

2x^2-5xy-y^3 if x=-3, and y=-2

docker41 [41]

2x^2-5xy-y^3 if x=-3, and y=-2

2(-3)^2- 5(-3)(-2) -(-2)^3

=2(9) - 5(6) - (-8)

= 18 - 30 + 8

= -4

8 0

3 years ago

i'll give brainliest plss help!!!Paul earns money each week for mowing his lawn. He earns a flat rate lawn and earns an extra $1

guajiro [1.7K]

ANSWERS

(a) x represents the number of hours and y represents Paul's earnings.

(b) y - 24 = 1.50(x - 6)

(c) y = 1.50x + 15; b represents the flat rate

EXPLANATION

(a) In linear models, the x-variable is usually the independent variable, while the y-variable is the dependent variable. In this problem, we know that Paul's earnings depend on how many hours of additional yard work he does. Hence, the x-variable represents the number of hours Paul does extra yard work and the y-variable represents his earnings.

(b) A linear equation in point-slope form is,

$y-y_1=m(x-x_1)$

Where m is the slope and (x₁, y₁) is a point on the line.

In this case, we know that Paul earns an extra $1.50 per hour for additional yard work. If the additional yard work time in hours is represented by the x-variable, then the slope is 1.50.

Now, we need a point on the line. This is given in the problem, where it is said that when Paul worked 6 hours, he earned a total of $24. So the point is (6, 24),

$y-24=1.50(x-6)$

Hence, the equation in point-slope form is y - 24 = 1.50(x - 6).

(c) The slope-intercept form of the equation of a line is,

$y=mx+b$

We have to take the equation found in part (b) and rearrange it to find the equation in this form.

To do so, apply the distributive property to 1.50 on the right side of the equation,

$\begin{gathered} y-24=1.50x-1.50\cdot6 \\ \\ y-24=1.50x-9 \end{gathered}$

And add 24 to both sides,

$\begin{gathered} y-24+24=1.50x-9+24 \\ \\ y=1.50x+15 \end{gathered}$

The value of b is 15. Remember that b is the y-intercept, which is the value of the function when x = 0. This means that y = 15 when x = 0 and, therefore, 15 is the flat rate.

Hence, the equation in slope-intercept form is y = 1.50x + 15, and the y-intercept, b, represents the flat rate Paul earns without doing any extra work.

7 0

1 year ago

Help please The area of the figure is blank square units

zimovet [89]

Answer:

132 square units

Step-by-step explanation:

First, I would figure out the areas of the right triangles

Left triangle: 1/2(6x8) =24 units²

Right triangle: 1/2(8x3) = 12 units²

entire rectangle between triangles: 12x8 = 96 units²

add all areas together: 24+12+96 = 132 units²

3 0

3 years ago

Read 2 more answers

The expression 3(x-9) is equivalent to 3(x)+9. 3(x)+3(9). 3(x) – 9. 3(x) – 3(9).

Igoryamba

Answer:

3(x-9)

when you distribute the equation you get

3(x)-3(9) which is the last answer

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers