How do you factor the quadratic equation 3x^2 + 8x + 3 to find the roots?

Answer:

Pythagoreas Theorem

Step-by-step explanation:

a^2+b^2=c^2

4^2+b^2=15^2

16+b^2=225

b^2= 209

14.45=b

Answer:

30 minutes

Step-by-step explanation:

20+30+20--80

Answer:

Step-by-step explanation:

3

Step-by-step explanation:

Perimeter=8l

30cm=8l

l=30/8=3.75cm

Answer and Step-by-step explanation:

An octagon has 8 sides in total. The perimeter of a shape is the sum of all sides added together.

To find the length of each side, we divide the perimeter by the amount of sides.

30 ÷ 8 = 3.75

The answer is 3.75 centimeters.

#teamtrees #PAW (Plant And Water)

Answer:

C

Step-by-step explanation:

I might be wrong. I hope it helps:)

Answer: 15 m

Step-by-step explanation:

Given

The area of the swimming pool is [tex]A=45\ m^2[/tex]

Width of the pool is [tex]w=3\ m[/tex]

Suppose l is the length of the pool

So, the area is given by the multiplication of length and width

[tex]\Rightarrow A=lw\\\Rightarrow 45=3l\\\Rightarrow l=15\ m[/tex]

So, the length of the pool is 15 m.

Answer:

Step-by-step explanation:

Slope = (y2 - y1) / (x2 - x1)

y2 = 7

y1 = 2

x2 = 6

x1 = - 5

There is no particular reason for choosing which one is (x2,y2) and (x1,y1) The slope would turn out to be the same which ever way you tried it.

slope = (7 - 2)/(6 - - 5)   Notice the double minus. One of the minus symbols belongs to the formula and the other belongs to the 5

slope = 5/(6 + 5)

slope = 5/11

Answer:

[tex]\frac{5}{11}[/tex]

Step-by-step explanation:

The slope of a line that passes through points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let:

[tex](x_1,y_1)=(-5,2),\\(x_2, y_2)=(6,7)[/tex]

The slope of the line, [tex]m[/tex], that passes through these points is equal to:

[tex]n=\frac{7-2}{6-(-5)}=\frac{5}{6+5}=\boxed{\frac{5}{11}}[/tex]

Answer:

0.58333333333 Or 0.58333333333/100000000000

Step-by-step explanation:

Answer:

20%

Step-by-step explanation: The percent of error formula is |(theoretical value-actual value)/actual value|=percent of error. Substitute the values in. |(2.8-3.5)/3.5|=|(-0.7)/3.5|=0.2. The percent equal to 0.2 is 20%.

Answer:

C

Step-by-step explanation:

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{4}{5} }[/tex] = - [tex]\frac{5}{4}[/tex] ← slope of line B

Answer:

2 > w ≤ 7

Step-by-step explanation:

Answer:

y=3/4x + 10

Step-by-step explanation:

First, lets put this into Point-Slope form: y-4 = 3/4(x+8)

Now, lets modify the equation in our favor, getting the "y" alone on the left hand side:  y-4 = 3/4(x+8)

                     +4                   +4

-----------------------------------------------

                  y=3/4(x+8)+4

Now, lets simplify....

                  y=3/4x + 6 + 4 = y = 3/4x+10

And we are done!

Answer:

Step-by-step explanation:

Answer:

An equation is needed to evaluate h(0).

When you evaluate h(0), you find the y-intercept of the graph because the independent variable inside the brackets, probably x or t, equates to 0.

The problem is needed for its context to be explained.

Although in most math problems, when h(x) form is used, h usually represents height.

I assume h(0) is the initial height, maybe the height that the rocket was launched or the height that the person who threw the ball is.

Answer:

0.0428 miles per gallon

Step-by-step explanation:

On her vacation in Mexico Stephanie was Abel to drive 280 miles on 12 gallons

Given data

Distance driven = 280miles

Fuel used= 12 gallons

Hence the gas per mile is expressed as

Gas per mile= 12/280

Gas per mile= 0.0428 miles per gallon

Answer:

S(t) = 1000(0.729)^t

Step-by-step explanation:

S(t) = 1000(0.9)^(3t)

S(t) = 1000((.09)^(3))^t

S(t) = 1000(0.729)^t

Answer:

Step-by-step explanation:

Vertically opposite angles are equal

8x + 2 = 7x + 11

Subtract 2 from both sides

8x    = 7x + 11 - 2

8x  = 7x + 9

Subtract 7x from both sides

8x - 7x = 9

x = 9

Answer:

x = -1/2, x = -5    OR    x = -0.5 and x = -4

Step-by-step explanation:

I’ll just put a picture, I can’t fully explain digitally.    ;D

Answer:

2464 yd²

Step-by-step explanation:

Use the circle circumference formula: 2πr

2·[tex]\frac{22}{7}[/tex]·r=176

[tex]\frac{44}{7}[/tex]r=176

r=176·[tex]\frac{7}{44}[/tex]

r=28

Area of circle formula: πr²

[tex]\frac{22}{7}[/tex]·r²

[tex]\frac{22}{7}[/tex]·28²

[tex]\frac{22}{7}[/tex]·784

=2464 yd²

Answer:

-25/3

Step-by-step explanation:

Answer:

a+52/3=9

a + 52/3 - 52/3 = 9 - 53/3

a=[tex]\frac{27- 53}{3}[/tex]

a= [tex]\frac{26}{3}[/tex]

Step-by-step explanation:

Answer:

the volume would be 84

Step-by-step explanation:

multipacation

Answer:

It's (-1.5,-5.5)

Step-by-step explanation:

Answer:

-1.5 , -5.5

Step-by-step explanation:

Answer:

Ms. Lesure is going to need to buy 4 pizzas for Mr. Shows Interactions A class. The boys would eat 20 slices and the Girls in total will eat 12 slices. In total you'll need about 32 slices and 32 divided by 8 is 4.

Step-by-step explanation:

Answer:

h = 50 inches

Step-by-step explanation:

To find the value of h, we are to use the appropriate trigonometric ratio

The given angle faces the unknown length and that makes the unknown length the opposite side

The given side faces the right angle and that makes it the hypotenuse

The trigonometric ratio that connects the opposite and the hypotenuse is the sine

The sine of an angle is the ratio of the opposite side to the hypotenuse

Thus, we have it that;

sin 23 = h/129

h = 129 * sin 23

h = 50 inches

Answer:

-2

Step-by-step explanation:

negative times positive equal negative so

-1×2= -2

Answer:

[tex] \large{ \tt{✺ \: EXPLANATION}} : [/tex]

[tex] \large{ \boxed{ \boxed{ \tt{↝OUR \: FINAL \: ANSWER: \boxed{1}}}}}[/tex]

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y = -19

I started by adding 18 to both sides(inverse operation) then dividing by -2 to isolate the variable. What you do to one side must be done to the other

Answer:

Step-by-step explanation:

Answer:

x = -0.2 and x = -3.5

Step-by-step explanation:

Combine like terms in the given equation, by subtracting 2x^2 from both sides:

6x^2 + 15x + 3 = 2x^2

-2x^2                = -2x^2

----------------------------------

4x^2 + 15x + 3 = 0

This is a quadratic equation.  We'll find the two solutions using the quadratic equation

      -b ± √(b^2 - 4ac)

x = ---------------------------

                  2a

Here the coefficients of the quadratic are a = 4, b = 15 and c = 3.

Thus, the discriminant b^2 - 4ac is 15^2 - 4(4)(3), or +177

and from that we know we'll find two real, unequal roots.

                                -15 ± √177

The roots are:  x = ------------------- , or x = -0.2 and x = -3.5

                                         8

Answer:

-64

Step-by-step explanation:

f(x)=-4^x

f(3)=-4^3=-64

Answer:

-64

Step-by-step explanation:

1) Substitute x with 3

-4^3

2) solve

-64