For the following triangle,

Answer:

x = - 3, x = - 2, x = 0

Step-by-step explanation:

Given

x³ + 5x² + 6x ← factor out x from each term

= x(x² + 5x +6) ← factor the quadratic

Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (+ 5)

The factors are + 2 and + 3 , since

2 × 3 = + 6 and 2 + 3 = + 5 , thus

x² + 5x + 6 = (x + 2)(x + 3) , and

f(x) = x³ + 5x² + 6x = x(x + 2)(x + 3)

To find the zeros equate f(x) to zero, that is

x(x + 2)(x + 3) = 0

Equate each factor to zero and solve for x

x = 0

x + 2 = 0 ⇒ x = - 2

x + 3 = 0 ⇒ x = - 3

Zeros from least to greatest are x = - 3, x = - 2, x = 0

Answer:

Blue is linear; orange is nonlinear

Step-by-step explanation:

linear is straight

nonlinear is not

Answer:

2x-6

Step-by-step explanation:

Answer:

Step-by-step explanation:

y + 4 = -2(x - 5)

y + 4 = -2x + 10

y = -2x + 6

The correct answer would be -3/8 or in decimal form -0.375 :)

Answer:

its red okay? i hop help

Answer:3:1. Yellow

Step-by-step explanation:

Answer:

A= 3/2 B=2/5 C=5/5 (1) D=4/3 E=1/4 F=0 (?)

Step-by-step explanation:

rise over run, otherwise I don't know what you'd be inputting

Answer:

A. 3/2

B. 2/5

C. 1

D. 2

E. 1/4

F. 0

Answer:

4.5

Step-by-step explanation:

It is the closest answer. Trust Me.

Answer:

The solutions to the system of equations are:

[tex]y=-8,\:x=-4[/tex]

Thus, option C is true because the point satisfies BOTH equations.

Step-by-step explanation:

Given the system of the equations

[tex]\begin{bmatrix}y=x-4\\ y=3x+4\end{bmatrix}[/tex]

Arrange equation variables for elimination

[tex]\begin{bmatrix}y-x=-4\\ y-3x=4\end{bmatrix}[/tex]

[tex]y-3x=4[/tex]

[tex]-[/tex]

[tex]\underline{y-x=-4}[/tex]

[tex]-2x=8[/tex]

[tex]\begin{bmatrix}y-x=-4\\ -2x=8\end{bmatrix}[/tex]

solve for x

[tex]-2x=8[/tex]

Divide both sides by -2

[tex]\frac{-2x}{-2}=\frac{8}{-2}[/tex]

[tex]x=-4[/tex]

[tex]\mathrm{For\:}y-x=-4\mathrm{\:plug\:in\:}x=-4[/tex]

[tex]y-\left(-4\right)=-4[/tex]

[tex]y+4=-4[/tex]

[tex]y=-8[/tex]

The solutions to the system of equations are:

[tex]y=-8,\:x=-4[/tex]

Thus, option C is true because the point satisfies BOTH equations.

Answer:

2$

Step-by-step explanation:

first you need to subtract the cost of the magazine from the total. now you have 8$ left, divide this by the number of candy bars, 4, and you get 2$.

don't forget to add the dollar sign, it might save you points

Answer:

x = 7

Step-by-step explanation:

Because this is a right triangle, one angle is a right angle (90°). All triangles have all three angle measures adding up to 180°, so the other two angles' measures add up to 90° (90 + 90 = 180).

Combine like terms of the angle measures.

6x + 9x = 15x

-3 + (-12) = -15

15x - 15

Because the sum of the measures of the two angles have to equal 90,

15x - 15 = 90

Add 15 from both sides.

15x = 105

Divide both sides by 15.

x = 7

To check, substitute 7 in both expressions.

6(7) - 3 = 39

9(7) - 12 = 51

39 + 51 + 90 (the measure of the right angle) = 180, so the value of x is 7.

I hope this helped :)

Answer:

Debit cards have a savings account

Step-by-step explanation:

i learned this in school

Answer:

17²=15²+x²

289=225+x²

288-225=x²

64=x²

x=6

Answer:

8

Step-by-step explanation:

By Pythagoras theorem,

(hypotenuse)² =  (altitude)² + (base)²

(17)² = x² + (15)²

(17)² - (15)² = x²

289 - 225 = x²

x² = 64

x = √64

x = 8

hope this helps you!

Answer: Number of water bottles a team can fill  from a single watercooler = 48

Step-by-step explanation:

Given: A watercooler contains 160 cups of water.

Each person on a team fills a water bottle with [tex]3\dfrac13[/tex] cups of water from the cooler.

Here, [tex]3\dfrac13=\dfrac{10}{3}[/tex]

Now , Number of water bottles a team can fill  from a single watercooler = [tex]160\div \dfrac {10}3[/tex]

[tex]=160\times\dfrac3{10}\\\\=16\times3=48[/tex]

Hence, Number of water bottles a team can fill  from a single watercooler = 48

Number of water bottle IT team can feel a single watercooler =48

Answer:  27:18 and 13:x can also be written as 27/18 and 13/x

therefore, 27:18 = 13:x

                 27/18 = 13/x

                 27/18 *13= x

               x = 19.5

Hope it helped u,

pls mark as the brainliest

and put thanks

^_^

Answer:  [tex]6x^2y^3[/tex]

Explanation:

The numbers 2 and 3 multiply to 6, so that's why the final coefficient is 6.

The x terms multiply to [tex]x*x = x^2[/tex]

The y terms multiply to [tex]y*y*y = y^3[/tex]

The exponent tells us how many copies of the base to multiply.

So overall, [tex]2*x*x*3*y*y*y = 6x^2y^3[/tex]

Answer:

a) 95 miles

b) Chester

c) 194 miles

Step-by-step explanation:

Chart Reading

From the chart, we can know the relative distances from each place as follows:

a) From Hereford to Chester there are 95 miles

b) Kendal is 99 miles from Chester

c) If Ellen drives from Kendal to Hereford, passing by Chester, she will drive 99+95=194 miles

Note this last result is different from the direct distance from Kendal to Chester since the 201 miles are not specified if they are through Chester or not.

Answer:

the third one!

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

29 plus 16 is 45 and 45 divided into 9 is 5

Answer:

f(x)=-8x+8

f(-3)

ANSWER: 11/8

Answer:

ill try to help you

Step-by-step explanation:

1. y=3x+1

2. y= -1.5x+3

3. y=0.5x-3

4. y= 3x

hope this helps

take care

Answer:

1+x=b;b+x=c;c+x=d;d+x=89

Step-by-step explanation:

Answer:

x = 13

arc RQ = 160°

Step-by-step explanation:

The length of smaller arc RQ is twice of the inscribed angle it sees

(5x + 15) × 2 = 10x + 30

9x + 17 + 6x - 12 + 10x + 30 = 360° add like terms

25x + 35 = 360

25x = 360 - 35

25x = 325 divide both sides by 25

x = 13 now the measure of arc RQ

10x + 30 ➡ 10 × 13 + 30 = 160°

Answer:

Step-by-step explanation:-109.3=t-184.9

T=75.6

Answer:

15

Step-by-step explanation:

7x+9=5x+39

7x-5x=39-9

2x=30

30/2=x

x=15