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3 years ago

What is the y-intercept of this quadratic function? f(x)=-x2+10x-22

Mathematics

1 answer:

IrinaK [193]3 years ago

7 0

Answer:

The y intercept is (0,-22)

Step-by-step explanation:

To find the y intercept, set x =0 and solve for y

f(0)=-0^2+10*0-22

= -22

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What is the slope intercept form of the equation 4x-8y=72

Masteriza [31]

Answer:

y = 1/2x - 9

General Formulas and Concepts:

Alg I

Standard Form: Ax + By = C

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step-by-step explanation:

Step 1: Define

Standard Form: 4x - 8y = 72

Step 2: Find slope-intercept form

Subtract 4x on both sides: -8y = 72 - 4x
Divide both sides by -8: y = -9 + 1/2x
Rewrite: y = 1/2x - 9

6 0

3 years ago

Identify the figure that portrays the translation of the given preimage as indicated by the direction arrow.

ladessa [460]

The parallelogram will translate along the arrow and reach the head of the arrow.

The translation is a category of motion in which one body moves along towards a particular direction and reaches a particular point.

In translation, the rotational motion is not present. Also, the translational motion is a one-dimensional motion.

In the given figure, the parallelogram is present at the tail of the arrow.

The arrow depicts the direction of the translational motion.

So, the parallelogram will reach the end of the arrow as shown in the picture present in the attachment.

For more explanation about translation or rotation, refer to the following link:

hhttps://brainly.com/question/9032434

#SPJ10

6 0

2 years ago

From the top of a lighthouse the angle of depression of a speed

otez555 [7]

Answer:

164m (to 3 s.f.)

Step-by-step explanation:

Please see the attached picture for the full solution.

5 0

2 years ago

Use the gcf and the distributive property to express the sum as a product 20 35

Maslowich

Common factor of 20= 1,2,4,5,10.......
common factor of 35=1,5,7.............
so here we find that 1 and 5 r the common factors
but the GCF of 20 and 35 is 5
so,
by using GCF the distributive property is : 5(4+7)

5 0

3 years ago

PLEASE HELP (30 POINTS) Solve the rational equation x/3 = x^2/x + 5 , and check for extraneous solutions.

anygoal [31]

Option C: $x=0$ and $x=\frac{5}{2}$ are the solutions.

Explanation:

The equation is $\frac{x}{3} =\frac{x^{2} }{x+5}$

We shall determine the value of x, by simplifying the equation.

$\begin{aligned} x(x+5) &=3 x^{2} \\ x^{2}+5 x &=3 x^{2} \\ 2 x^{2}-5 x &=0 \\ x(2 x-5) &=0 \end{aligned}$

Thus, $x=0$ and $x=\frac{5}{2}$ are the solutions.

Now, let us check whether the solutions are extraneous solutions.

Let us substitute $x=0$ in the original equation to check whether both sides of the equation are equal.

$\begin{aligned}&\frac{0}{3}=\frac{0^{2}}{0+5}\\&0=\frac{0}{5}\\&0=0\end{aligned}$

Thus, both sides of the equation are equal.

Hence $x=0$ is a true solution.

Now, Let us substitute $x=\frac{5}{2}$ in the original equation to check whether both sides of the equation are equal.

$\begin{aligned}\frac{\left(\frac{5}{2}\right)}{3} &=\frac{\left(\frac{5}{2}\right)^{2}}{\left(\frac{5}{2}\right)+5} \\\frac{5}{6} &=\frac{\left(\frac{25}{4}\right)}{\left(\frac{15}{2}\right)} \\\frac{5}{6} &=\frac{5}{6}\end{aligned}$

Thus, both sides of the equation are equal.

Hence, $x=\frac{5}{2}$ is a true solution.

Thus, solutions are not extraneous.

Hence, Option C is the correct answer.

8 0

3 years ago