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3 years ago

Which model represents the factors of X^2+9x+8

Mathematics

1 answer:

NeX [460]3 years ago

3 0

Answer:

The models have tiles corresponding to x+8 and x+1

Step-by-step explanation:

We want to find the model that represents factors of

${x}^{2} + 9x + 8$

We split the middle term to get:

${x}^{2} + 8x + x + 8$

We factor by grouping to obtain:

$x(x + 8) + 1(x + 8)$

We collect common factors again to get:

$(x + 8)(x + 1)$

The models have tiles corresponding to x+8 and x+1

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A student council consists of 15 students. Two council members have the same major and are not permitted to serve together on a

tiny-mole [99]

Answer: 4004ways

Step-by-step explanation:

Total number of Students =15

Total number of students to be on the committee =5

Since two members are of the same major and must not be on the committee, then we are left with choosing 5 people from just 14 People after we eventually remove one from those two students with same majors.

Hence to select 5 people from 14 people, we use the combination formula 14C5.

From the two students with same major we also use the combination Formula in knowing the number of ways any of the two students can be chosen. To choose one from these two students, we use the combination Formula 2C1.

Hence, the total number of ways to choose the committee of 5 and ensuring the two students with same major aren't on the committee becomes:

= 14C5 * 2C1

= 2002 * 2

= 4004ways.

3 0

3 years ago

Which set of shapes could be used to form a net for a square tvyranni?

Bumek [7]

Okay i’m pretty sure it’s the first one, 1 square and 4 triangles.

8 0

3 years ago

You are offered two different sales jobs. The first company offers a straight commission of 6% of the sales. The second company

tankabanditka [31]

The straight commission offer must be at least as good as the straight commission offer, which requires sales of $12,000 in a week.

<h3>What is Straight Commission?</h3>

Straight Commission: Straight commission can also be referred to as commission-only because it is the only pay an employee receives. There is no base salary or hourly wage included in this pay structure. All compensation is based on an agreed-upon percentage of sales.

Get the complete straight commission offer as the first step.

The straight total commission can be expressed as follows:

A=R x T

A = straight total commission

R=commission rate

T=total sales

In our example,

A=0.06t=0.06 t is replaced by

R=6%=6/100=0.06

T=t in equation 1.

in the 2nd step, the second offer's total value

The total sum of the second offer can be expressed as follows:

A=F+(RT)

A=the amount of income the second company offers

F=weekly fixed wage

R = commission percentage

T = total sales

F in our instance equals $240 weekly.

in the 3rd step

R=4%=4/100=0.04

T=t is replacing A=240+(0.04t)=0.04 t+240 is in equation 2

now equate equations 1 and 2

0.06 t=0.04 t+240

(0.06 t-0.04 t)=240

0.02 t=240

t=240/0.02=12,000

The straight commission offer must be at least as good as the straight commission offer, which requires sales of $12,000 in a week.

To learn more about Straight commission visit:

brainly.com/question/8535450

#SPJ4

6 0

1 year ago

For what value of k is there one solution to the given quadratic equation (k+1)x²+4kx+2=0.

andriy [413]

Answer:

If $k = 1$ or $k = -\frac{1}{2}$ , there is only one solution to the given quadratic equation.

Step-by-step explanation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = (x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

The signal of $\bigtriangleup$ determines how many real roots an equation has:

$\bigtriangleup > 0$ : Two real and different solutions

$\bigtriangleup = 0$ : One real solution

$\bigtriangleup < 0$ : No real solutions

In this problem, we have the following second order polynomial:

$(k+1)x^{2} + 4kx + 2 = 0$ .

This means that $a = k+1; b = 4k; c = 2$

It has one solution if

$\bigtriangleup = 0$

$b^{2} - 4ac = 0$

$16k^{2} -8(k+1) = 0$

$16k^{2} - 8k - 8 = 0$

We can simplify by 8

$2k^{2} - k - 1 = 0$

The solution is:

$k = 1$ or $k = -\frac{1}{2}$

So, if $k = 1$ or $k = -\frac{1}{2}$ , there is only one solution to the given quadratic equation.

4 0

3 years ago

Find the equation for the circle with a diameter whose endpoints are (-5, -3) and (3,2).

densk [106]

Answer:

(x +1)^2 +(y +0.5)^2 = 22.25

Step-by-step explanation:

The center of the circle is the midpoint of the diameter, so is ...

(h, k) = ((-5, -3) +(3, 2))/2 = (-5+3, -3+2)/2 = (-1, -1/2)

The circle formula is then ...

(x -h)^2 +(y -k)^2 = r^2

(x -(-1))^2 +(y -(-1/2))^2 = r^2

We can find r^2 by substituting one of the points for (x, y).

(3 +1)^2 +(2 +1/2)^2 = r^2 = 16 +6.25 = 22.25

Then the circle equation is ...

(x +1)^2 +(y +0.5)^2 = 22.25

3 0

3 years ago