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3 years ago

Factor completely. 10x^3 + 2x^2 + 5x + 1

Mathematics

1 answer:

elena55 [62]3 years ago

8 0

Answer:

(5x+1)(2x^2+1)

Step-by-step explanation:

Add and subtract the second term to the expression and factor by grouping.

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Find equation of a line with the given slope that passes through the given point. Write the equation in the form Ax + By = C.

attashe74 [19]

Answer:

5x + y = -28

Step-by-step explanation:

Hi there!

We're given that a line has a slope of -5 and contains the point (-4, -8)

We want to write the equation of this line in standard form

Standard form is given as ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be zero, and a cannot be negative

Before we write the equation in standard form however, we need to write it in slope-intercept form, which is y=mx+b, where m is the slope & b is the y intercept

As we are already given the slope, we can immediately plug that in for m in y=mx+b

y=-5x+b

Now to find b:

As the equation passes through the point (-4, -8), we can use its values to help solve for b

Substitute -4 as x and -8 as y:

-8 = -5(-4) + b

Multiply

-8 = 20 + b

Subtract 20 from both sides

-8 = 20 + b

-20 -20

__________

-28 = b

substitute -28 as b

y = -5x - 28

We found the equation in slope-intercept form, but remember, we want it in standard form

In standard form, both x and y are on the same side; so, let's move 5x to the other side; to do this, we need to add 5x to both sides

y = -5x - 28

+5x +5x

_________

5x + y = -28

Hope this helps!

3 0

2 years ago

If you answer this your littearly a pro hacker pls help

gladu [14]

Answer:

6 times 3 times 4

18 times 4

= 72

Step-by-step explanation:

hope this helps good luck

6 0

3 years ago

Read 2 more answers

Find the possible value or values of n in the quadratic equation 2n2 – 7n + 6 = 0

qaws [65]

2n^2-7n+6=0

2n^2-4n-3n+6=0

2n(n-2)-3(n-2)=0

(2n-3)(n-2)=0

n=3/2, n=2

4 0

3 years ago

Read 2 more answers

Expand: In 2a^3/b^4

Ket [755]

Answer:

ln(2) +3ln(a) -4ln(b)

Step-by-step explanation:

$\ln{\left(\dfrac{2a^3}{b^4}\right)}=\ln{(2a^3b^{-4})}=\ln{(2)}+\ln{(a^3)}+\ln{(b^{-4})}\\\\=\boxed{\ln{(2)}+3\ln{(a)}-4\ln{(b)}}$

The applicable rules of logarithms are ...

log(ab) = log(a)+log(b)

log(a^b) = b·log(a)

3 0

4 years ago

Can you guys help me with this please it suppose to use the synthetic substitution or the remainder theorem.

Brilliant_brown [7]

9514 1404 393

Answer:

(b) -36

Step-by-step explanation:

Synthetic division is often performed using a table of the kind shown in the attachment. The coefficients of f(x) are placed across the top, and the x-value to be evaluated is placed at the left. The rule for finding table entries is shown. (The first (left-most) number at the bottom is the leading coefficient of the polynomial.)

This table shows the remainder, which is f(-2), is -36.

The equation itself can be rewritten in "Horner form" to facilitate evaluation.

f(x) = (((-x +2)x -1)x +4)x +8

In this form, substituting for x and doing the evaluation is easier for mental arithmetic. You will notice that the contents of parentheses at each level match the bottom line of the synthetic division table.

f(-2) = (((-(-2) +2)(-2) -1)(-2) +4)(-2) +8

= (((4)(-2) -1)(-2) +4)(-2) +8

= ((-9)(-2) +4)(-2) +8

= (22)(-2) +8

= -36

f(-2) = -36 . . . . remainder from synthetic substitution

6 0

3 years ago