Answer:
2475%
Step-by-step explanation:
The value of 4,576 x (2,480 + 3) is 3 more than the value of 4,576 x 2,480
The parabola in the image has its focus at (4,3).Its directrix is the line y=1.The point (8,6) is on the parabola.
The true statements for the parabola in the image are:
C. The point (8, 6) is the same distance from the point (4, 3) as it is from the line y = 1.Option D.How to determine the equation of the directrix?Mathematically, the standard equation of the directrix lines for a parabola is given by y = a(x - h)² + 2.
Given the following data:
Vertex (h, k) = (4, 3).
Point (x, y) = (8, 6).
Next, we would determine the distance where point (8, 6) lies on the parabola:
y = a(x - h)² + 2
6 = a(8 - 4)² + 2
6 = a(4)² + 2
6 = 16a + 2
16a = 6 - 2
16a = 4
a = 4/16
a = 1/4.
Therefore, the equation becomes:
y = 1/4(x - 4)² + 2
When x = 2, we have:
y = 1/4(2 - 4)² + 2
y = 1/4(-2)² + 2
y = 1/4(4) + 2
y = 1 + 2
y = 3.
In conlusion, the true statements regarding the parabola in the image are:
The point (8, 6) is the same distance from the point (4, 3) as it is from the line y = 1.The point (2, 3) is on the parabola.Read more on directrix here: https://brainly.com/question/2346582
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Can someone help me with this? I need it before Monday. I will give brainlist!! If the picture is too blurry here is the problem:
Michelle makes jewelry boxes containing drawers of equal size. The numbers of drawers in three ditterent ewelry boxes and the corresponding total volumes of the drawers are shown in the table below. JEWELRY BOXES Number of Drawers Total Volume (cubic inches) 2 5 3 7.5 4 +6 10 Write an equation for the relationship between the number of drawers in the jewelry box, d, and the total volume of the drawers in the jewelry box, V. Use your equation to determine the number of drawers in a jewelry box with a total volume of 17.5 cubic inches Show your work.
Answer:
1. total volume of box=2.5(V)D
2. 7 Drawers
Step-by-step explanation:
2.5 = V
so 1 draw = 2.5 cubic inches of volume
so V(2.5) × D(number of drawers) = total volume of drawers in the box
3 1/8 x 90 please help me thank you everyone ! :)
Answer:
[tex]2248\frac{1}{4}[/tex]
Step-by-step explanation:
given: [tex]3\frac{1}{8} * 90[/tex]
now, we turn both into improper fractions:
25/8 * 90/1 :: [tex]\frac{25}{8} * \frac{90}{1}[/tex]
now we multiply across
[tex]\frac{25}{8} * \frac{90}{1} = \frac{2250}{8}[/tex]
now turn into a mixed number:
[tex]\frac{2250}{8} = 2248\frac{2}{8}[/tex]
simplify! :
[tex]2248\frac{1}{4}[/tex]
Math 50 points Please Help
Answer:
Step 3
Step-by-step explanation:
-4(3)(-1)
Will be equal to a positive 12
need help with this question 11
find the sum or difference [-3 0 5 -7 + -4 2 -1 8] 30 points please help me.
Answer:
-372
Step-by-step explanation:
-305 -7 + (-42) -18
-312 + (-42) -18
-312 - 42 - 18
-354 - 18
-372
please help me find the same denominator
Answer:
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
let us first start with some basic information ~
A fraction can be represented as [tex]\frac{x}{y}\\[/tex] where ,
x is the numerator and y is the denominator !
the question asks us to do something that will help us get same denominator for both the terms !
so let's see what we should do in such a case ~
[tex] \frac{9}{10} \: and \: \frac{7}{8} \\ \\ \\ lets \: make \: the \: denominator \: of \: both \\ the \: terms \: reach \: 80 \: , \\ \\ \bold\orange{ \implies \: \frac{9}{10} \times \frac{8}{8} = }\bold\red{ \frac{72}{80}} \\ \\\bold\orange{ \implies \: \frac{7}{8} \times \frac{10}{10} =}\bold\red{ \frac{70}{80}} [/tex]
and we're done !
let's add some more info to be lil more clear ~
while converting the denominator of both the terms , we must multiply the same number ( this number refers to the one we'll have to multiply to the denominator to obtain the desired result ) with the denominator as well as with the numerator !
hope helpful :D
Answer:
Step-by-step explanation:
you have to multiply first fraction with '8' and second fraction with '10' :
the fractions will become 72/80 and 70/80 then you can compare it
11 What is the value of k if the mid-point of the line joining (1 – k, 4) and (2, k + 1) is (-k, k)?
Answer:
k = -3
Step-by-step explanation:
Given
(-k, k) is the midpoint of the line joining (2, k + 1) and (1 - k, 4)Solving
Equate the midpoint and endpoints using the Midpoint FormulaLet's equate the x parts-k = 2 + 1 - k / 2-2k = 3 - k-k = 3k = -3Is a triangle with the side lengths 4 feet, 7. 5 feet, and 8. 5 feet a right triangle? Why or why not?
Answer:
Yes
Step-by-step explanation:
You can test if a triangle is right-angled by using Pythagoras' Theorem.
So:
[tex]4^2 + 7.5^2 = 8.5^2[/tex]
16 + 56.25 = 72.25
They do in fact add up so this triangle is right angled.
As with simple linear regression, we desire the residuals to (select all that apply) have large variance. have constant variance. have a mean close to 1. have a mean close to 0. have in increasing mean.
As with simple linear regression, we desire the residuals to:
Have constant variance.Have a mean close to 0. What is a simple linear regression?It should be noted that a simple linear regression simply means a model that describes the relationship between a dependent variable and an independent variable.
In this case, as with simple linear regression, we desire the residuals to have constant variance and have a mean close to 0.
Learn more about regression on:
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find the Perimeter and area
Answer:
perimeter = 22 + 3π
area = 48 + (9/2)π
Step-by-step explanation:
perimeter = 8 + 6 + 8 + (1/2)(6π) = 22 + 3π
area = 8(6) + (1/2)(3^2)π = 48 + (9/2)π
An old car has to travel a 2-mile route, uphill and down. Because it is so old, the car can climb the first mile, the ascent, no faster than an average speed of 15 mi/h. How fast does the car have to travel the second mile, on the descent, to achieve an average speed of 30 mi/h for the trip
Answer:
2s + 30 = 2s
Step-by-step explanation:
Time up hill + time down hill = total time
:
Multiply equation by 30s; results
2s + 30 = 2s
:
3 cm
Find the surface area of the above solid.
O A. 56 cm2
• B. 40 cm2
• C. 48 cm2
D. 36 cm2
Help quickly please
area is 36...............
what is the outcome when you choose 8 pairs of summer shorts
formular for area of a circle
Answer:
Tr2
Step-by-step explanation:
pie * radius * radius
Answer:
πr²Step-by-step explanation:
The circumference of a circle is given to be 2πr, and its radius to be r.
Area = 1/2 x circumference x radiusArea = 1/2 x 2πr x rArea = πr²what is the area of 10in circle
Answer:
Step-by-step explanation:
going by the assumption tha the radius is 10inches.
area would be pi r^2
which would be pi(10)^2 = 100pi =314.16 (rounded)
Five gallons of gasoline cost \$ 22. 80$22. 80.
What is the price per gallon?
Answer:
$4.56
Step-by-step explanation:
22.80/5 = 4.56
Calla bought 8 writing utensils for a total of $30. Pens cost $4 each and pencils cost $3 each. How many pens did she buy?
please help!! it’s select all that apply :)
Answer:
1. [tex]y = 4 * 2^x^+^1[/tex]
4. [tex]y = 2^x^+^3[/tex]
Step-by-step explanation:
First one:
[tex]y = 4 * 2^x^+^1\\y = 4 * 2^x * 2^1\\y = 8 * 2^x[/tex]
Fourth one:
[tex]y = 2^x^+^3\\y = 2^x + 2^3\\y = 8 * 2^x[/tex]
Suppose a town has a population of 5,000 residents but that the population is decreasing by 200 people each year. Write a linear function to represent the population of the town in terms of the numbers of years. After how many years will the town have a population of 1,800? When will the town have only 400 residents?
Answer:
it will take 16 years to reach a population of 1800 and in 23 years the population will be 400.
Step-by-step explanation:
population: 5000
population decreasing: 200x
y=5000-200x
(1800-5000)/-200
(400-5000)/-200
How to multiply a ratio then divided by 3.
Answer:
Heres the answer
Step-by-step explanation:
To calculate the ratio of an amount we divide the amount by total number of parts in the ratio then multiply the answer by original ratio.
A bag contains 3 red marbles, 8 blue marbles and 2 green marbles. If two marbles are drawn out of the bag, what is the exact probability that both marbles drawn will be red?
Answer:
[tex]\frac{3}{13}[/tex]
Step-by-step explanation:
First you need to find how many marbles there are in total, so 3+8+2= 13
The probability of the marble being red is [tex]\frac{3}{13}[/tex] then
Hope this helps! :)
A teacher has been given £35 to spend on pencils and rulers.
A packet of 12 pencils costs £2.15.
A pack of 30 rulers costs £6.00.
She buys 4 packs of rulers and spends the rest on packets of pencils.
How many packets of pencils can she buy?
A 1,500-gallon tank contains 200 gallons of water. Water begins to run into the tank at the rate of 75 gallons
per hour. When will the tank be full but not overflowing?
Answer:
17hrs (a little more)
Step-by-step explanation:
The tank is 1500 gallon capacity, it already contains 200 gallons.
1500-200=1300
Now, you have to figure how many hrs it will take at 75 gallons / hr to reach the additional 1300 gallons.
1300÷75= 17.33
It says full, but not overflowing. So I would say around 17hrs
The area of a rectangle is (x4 4x3 3x2 – 4x – 4), and the length of the rectangle is (x3 5x2 8x 4). if area = length × width, what is the width of the rectangle? x 1 x – 9 x 4 x – 1
Answer:
Area = x4 + 4x3 + 3x2 - 4x - 4
Length = x3 +5x2 + 8x + 4
Width = Area / Length.
Performing long division with polynomial.
x4 + 4x3 + 3x2 - 4x - 4 / x3 + 5x2 + 8x + 4 = x-1
Width = x-1
Step-by-step explanation:
The value of the width of the rectangle is,
⇒ (x - 1)
We have to given that;
In a rectangle;
Area = x⁴ + 4x³ + 3x² - 4x - 4
Length = x³ +5x² + 8x + 4
We know that;
Width = Area / Length.
Hence, Performing long division with polynomial.
Width = x⁴ + 4x³ + 3x² - 4x - 4 / x³ +5x² + 8x + 4
= x - 1
Thus, The value of the width of the rectangle is,
⇒ (x - 1)
Learn more about the rectangle visit:
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last one i swear please help
Answer:
Step-by-step explanation:
158962.5 rounded to nearest tenth
Answer:
158962.5
Step-by-step explanation:
it is already round to the tenth ,but if you are talking about rounding to the neartest whole number is it 158963
sorry if i am wrong :) have a nice day
What are the vertex and x-intercepts of the graph of the function given below?
y=x²-2x-48
O A. Vertex: (-1, -21); intercepts: x = 6,4
B. Vertex: (1, -40); intercepts: x = 6,7
C. Vertex: (1,-49); intercepts: x = 8,-6
D. Vertex: (0, 0); intercepts: x= -4, 6
SUBMIT
Answer:
C. Vertex: (1,-49); intercepts: x = 8,-6Step-by-step explanation:
x²-2x-48 = (x²-2x +1) - 1 - 48
= (x - 1)² - 49
Then
The vertex is (1 , - 49)
==================
x²-2x-48 = 0
⇔ (x - 1)² - 49 = 0
⇔ (x - 1)² = 49
⇔ x - 1 = 7 or x - 1 = -7
⇔ x = 8 or x = -6
Then
intercepts: x = 8,-6
PLEASE HELP ME 60 QUESTIONS ARE DUE TODAY!!!!!!!!!!!!!!!!!!!! PLS HELP WILL GIVE BRAINlIEST!!!!!
Answer:
x=3/2
Decimal Form:
x=1.5
Mixed Number Form:
x=1-1/2
Step-by-step explanation: