1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Snezhnost [94]
3 years ago
7

Please help 8th grade math!

Mathematics
1 answer:
sineoko [7]3 years ago
4 0
9/8 that’s what I got but you can reduce it
You might be interested in
Y=-x^2+6x-4<br> Find the Axis of Symmetry and the Vertex, Also solve the whole equation.
Inessa [10]

Answer:

1. <em>Axis of symmetry</em>: x = 3

2. <em>Vertex:</em> (3,5)

3. <em>Solution of the equation</em>:

<u />

  • x-intercepts:

               (3-\sqrt{5},0) \\\\(3+\sqrt{5},0)

  • y-intercept: (0, -4)

Explanation:

<u>1. Equation:</u>

    y=-x^2+6x-4

<u>2. </u><em><u>Axis of symmetry:</u></em>

That is the equation of a parabola, whose standard form is:

                 y=ax^2+bx+c

Where:    

                 a=-1;b=6;c=-4

The axis of symmetry is the vertical line with equation:

               x=-b/2a

Substitute  a=-1,\text{ and }b=6

          x=-6/[(2)(-1)]=-6/(-2)=3

Thus, the axis of symmetry is:

            x=3

<em><u>3. Vertex</u></em>

<em><u /></em>

The x-coordinate of the vertex is equal to the axys of symmetry, i.e x = 3.

To find the y-xoordinate, substitute this value of x into the equation for y:

               y=-x^2+6x-4\\\\y=-(3)^2+6(3)-4=-9+18-4=5

Therefore, the vertex is (3, 5)

<u>4. Find the x-intercepts</u>

The x-intercepts are the roots of the equation, which are the points wher y = 0.

        y=-x^2+6x-4=0

Use the quadratic equation:

       x=\frac{-b\pm \sqrt{b^2-4ac} }{2a} \\\\x=\frac{-6\pm\sqrt{(-6)^2-4(-1)(-4)} }{2(-1)}\\\\x_1=3-\sqrt{5} \\\\x_2=3+\sqrt{5}

<u>5. Find the y-intercept</u>

<u />

The y-intercet is the value of y when x=0:

         y=-x^2+6x-4\\\\y=-(0)^2+6(0)-4=-4

7 0
3 years ago
A manufacturer determines that the number of toys it can sell is given by the formula
otez555 [7]

Answer:

The price where the manufacture sells the maximum number of toys is $20

Step-by-step explanation:

The given equation for that represents the number of toys the manufacturer can sell is given as follows;

T = -4·p² + 160·p - 305

Where;

p = The price of the toys in dollars

At the point where the manufacture sells the maxim number of toys on the graph of the equation T = -4·p² + 160·p - 305, which is the top of the graph, the slope = 0

Therefore, at the maximum point;

The slope = 0 = dT/dp = d(-4·p² + 160·p - 305)/dp = -8·p + 160

∴ -8·p + 160 = 0

160 = 8·p

8·p = 160

p = 160/8 = 20

The price where the manufacture sells the maximum number of toys is = p = 20 dollars

4 0
2 years ago
What is the sum of 43 and z is equal to 72.98.
lisov135 [29]

Answer:

x + 43 = 72.98

<u>   - 43      -   43</u>

x = 29.98

Step-by-step explanation:

3 0
3 years ago
A tree that is 14 feet tall casts a shadow that is 30 feet long. Find the angle of the elevation from the top of the shadow to t
Umnica [9.8K]

Let x = angle we must find

tan x = 14/30

arctan(tan x) = arctan(14/30)

x = 25.0168934781

Answer: 25 degrees

8 0
3 years ago
Which of the following is the radical expression of a to the four ninths power ?
LuckyWell [14K]

Given expression in exponential form : a^{\frac{4}{9} }.

We need to convert it into radical form.

<em>Please note: When we convert an exponential to radical form, the top number goes in the exponent of the term and bottom number of the fraction goes in the radical sign to make it nth radical.</em>

We can apply following rule:

(a)^{\frac{m}{n}}= \sqrt[n]{x^m}.

Therefore,

a^{\frac{4}{9} }= \sqrt[9]{a^4}.

Therefore, correct option is : D. ninth root of a to the fourth power.

6 0
3 years ago
Other questions:
  • After the expression (x^16)3/4 is simplified as much as possible, x is raised to what exponent?
    14·1 answer
  • What is the x and y intercepts of x + y=4?
    10·2 answers
  • The population of certain region is 60 people per square kilometer If the region convers 23 square kilometer what is the populat
    5·1 answer
  • 20% of a store’s sale are toys. If the store sells $1,200 in toys during one month, what are the store’s total sales?
    7·1 answer
  • Based on a farmer’s soil composition he must mix his fertilizer at a certain strength.
    10·1 answer
  • What is the distance between (14,4) and (15,8)
    10·1 answer
  • Try the numbers 22, 23, 24, 25 in the equation 4/3 = 32/d
    9·1 answer
  • When an alligator is born it is about 8 inches long. each year they grow about 12 inches.how old is an alligator is that is 116
    9·1 answer
  • A science teacher wrote the table of values below.
    7·1 answer
  • The table shows the volume of water in a tank after it has been filled to a certain height.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!