To find the equation, for the x-intercepts at (2, 0) and (4, 0) and a y-intercept of (0, –16) we have to find the nature of the curve.
The correct option is f(x) = –2(x – 2)(x – 4).
Given:
The x-intercepts at (2, 0) and (4, 0).
The y-intercept of (0, –16).
The nature of the graph is quadratic curve. Write the general equation for x-intercept.
[tex]y=a(x-2)(x-4)[/tex]
Where is [tex]a[/tex] number
Substitute 0 for [tex]x[/tex].
[tex]y=a(0-2)(-4)\\y=8a[/tex]
We have y-intercept of (0, –16).
[tex]-16=8a\\a=-2[/tex]
The equation would be,
[tex]f(x) = -2(x - 2)(x - 4).[/tex]
Thus, the correct option is f(x) = –2(x – 2)(x – 4).
Learn more about equitation here:
https://brainly.com/question/3337307
leilani rides her bike for exercise and drinks 70 ounces of water each day in order to stay hydrated.before her morning ride, she drinks 14 ounces of water leilani wants to know what percent of the daily amount of water she has before her ride. find an equivalent ratio where the total amount of water is 100 ounces
Step-by-step explanation:
we need to find how much 14/70 is equal to ? over 100
100/70=1.42857142857
14x1.42857142857=20
Therefore she drinks 20/100 she drinks before she goes on a ride.
or 20%
it's 20
I got it right on iready
please help i will give brainliest
[tex]\text{Given that,}\\\\\text{Width,}~ w = 3x-2\\\\\text{Length,}~ l = x+5 \\\\\\\text{Perimeter} =2(w+l) = 2(3x-2+x+5) = 2(4x +3) = 8x +6[/tex]
x/5 - 74 = 26
what is x
Step-by-step explanation:
x/5 - 74 = 26
x/5 = 26 + 74
x/5 = 100
x = 100 x 5
x = 500
Which is the better buy? Explain.
Cereal
Price
$4.32
12-ounce box
16-ounce box
$5.44
If $400 Is The Principle and is paid for 2 years at 4% how much is the compound interest
Answer:
=$32
Step-by-step explanation:
Principal Amount=$400
Rate=4%
Time=2 Years
Interest=?
=RPT/100
=4x400x2/100
=$32
....................................................................
I NEED SOME HELP WITH SOME MATH ASSIGNMENTS ANYONE WILLING TO HELP ?
Steven has $150. John has J dollars. Steven has 30 less than 2 times the amount John has. How much does John have?
Answer:
J = 90
John has 90 dollars.
Step-by-step explanation:
We need to find how much money John has. To find how much J equals we need to break it down.
We already know that Steven has 150 dollars. We also know that he has 30 less than two times the amount John has.
Steven has 30 less than two times the amount John has.
So 150 + 30 = 180
180 is two times the amount John has.
Because 180 is two times the amount John has we need to divide by two.
180 ÷ 2 = 90.
J = 90. Therefore John has 90 dollars.
This question was tricky! I hope I helped a little! Have a great day!!
What is the equation of the line that passes through the point(-6,-5) and has a slope of -1/2
Answer:
y=-1/2x-8
Step-by-step explanation:
y-y1=m(x-x1)
y-(-5)=-1/2(x-(-6))
y+5=-1/2(x+6)
y=-1/2x-6/2-5
y=-1/2x-3-5
y=-1/2x-8
Find the slope of the line that passes through (3, 3) and (9,8). Simplify your answer and write it as a proper fraction, improper fraction, or integer
Answer:
[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
In order to find the answer, you need to use the slope formula, substitute, subtract, and simplify if needed.
Slope formula = [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]
[tex]\frac{y^2-y^1}{x^2-x^1}=\frac{8-3}{9-3}[/tex]
[tex]8-3 = 5[/tex]
[tex]9-3 = 6[/tex]
= [tex]\frac{5}{6}[/tex]
Hope this helps.
Kim is playing an online trivia game. she has 25 points and earns 1 point for each correct answer .she will advance to the next round if her score is over 34 points
Answer: 10 points
Step-by-step explanation:
She must get 10 answers right to get into the next round, if it need to be over 34
25+10=35
Can i have brainliest
Answer:
1x + 25 > 34
Step-by-step explanation:
test says its right
The sum of 6 and a number is 3
Answer:
Hey mate....
Step-by-step explanation:
This is ur answer....
The other number is 3.....Hope it helps!
Brainliest pls!
Follow me! :)
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
1 in : 50 mi
Step-by-step explanation:
You can eliminate the choices that don't make any sense by comparing the given numbers to the offered choices:
given:
15 in : 750 mi
__
A. 1 in : 50 mi . . . . . . . . equivalent to dividing the given ratio numbers by 15
B. 15 in : 100 mi . . . . . . same inches, wrong miles
C. 1 in : 750 mi . . . . . . . wrong inches, same miles
D. 1 mi : 50 in . . . . . . . . both inches and miles are wrong (the ratio has the units swapped)
__
In the given ratio, the numerical number of miles (750) is 50 times the numerical number of inches (15). This is the ratio you're looking for among the answer choices. You need to pay attention to both the numerical values and their associated units.
1. A grand tour of four cities begins at city A and makes successive stops at cities B, C,
and D before returning to city A. If the cities are located as shown in the
accompanying figure, find the total distance covered on the tour. The units are in
miles.
0-900,800)
400,300)
D1-800,0)
ALOO
Using distance between two points, it is found that the total distance covered on the tour is of 3400 miles.
Given two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], their distance is given by:
[tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
In this problem, the formula is used to find the distance covered on each tour, hence:
[tex]d_{AB} = \sqrt{(400 - 0)^2 + (300 - 0)^2} = 500[/tex]
[tex]d_{BC} = \sqrt{(-800 - 400)^2 + (800 - 300)^2} = 1300[/tex]
[tex]d_{CD} = \sqrt{(-800 - (-800))^2 + (0 - 800)^2} = 800[/tex]
[tex]d_{DA} = \sqrt{(0 - (-800))^2 + (0 - 0)^2} = 800[/tex]
Then, the total distance is given by the sum of each separate distance, hence:
[tex]d = d_{AB} + d_{BC} + d_{CD} + d_{DA} = 500 + 1300 + 800 + 800 = 3400[/tex]
The total distance covered on the tour is of 3400 miles.
You can learn more about distance between two points at https://brainly.com/question/25929988
Simplify the expression. Explain each step 7(4y)
Answer: 28 y
Step-by-step explanation: All you really have to do is multiply 7 by 4y. 7(4y) 28y
A bag of mixed nuts contains almonds and hazelnuts. There are
(6x + 13) nuts in this particular bag, and (3x - 7) of these are hazelnuts
Which expression represents the number of almonds in the bag?
Answer:
3x+20
Step-by-step explanation:
total nuts: 6x+13
hazelnuts: 3x-7
almonds expression:
6x+13-(3x-7)
=6x+13-3x+7
=3x+20
Graph the following features:
Slope = -3
• Y-intercept = -4
Answer:
maybe (-3,-4)?
Step-by-step explanation:
How to slove this equation in simple form -9(8v-2v)+10b - (100v+6)
Answer:
- 154v + 10b - 6
Step-by-step explanation:
-54v + 10b - 100v - 6
-154v + 10b - 6
Each exterior angle in a regular polygon has a measure of 18. How many sides does the polygon have? What is the sum of the measures of the interior angles?
Answer:
20 sides ( Icosagon )
3240 is the interior angles sum
Step-by-step explanation:
360 ÷ 18 = 20
180 - 18 = 162
162*20 = 3240 is the interior angles sum
Holly has a credit limit of $2,500 on her credit card. She had a previous balance of $103.23
and made a $100 payment. The total of her purchases is $45.34. What is her available
credit?
Step-by-step explanation:
$103.23
$100
$45.34
+_____
=248.57
find the equation of the line with slope of 2 passing through (3,1)
Answer:
y = 2x - 5
Step-by-step explanation:
Simplify these expressions
a) x^5 x x^2
b) y^5 x y
A forest covers 74,000 acres. A survey finds that 0.8% of the forest is old-growth trees. How many
acres of old-growth trees are there?
Answer:
592
Step-by-step explanation:
0.008(74,000)
592
Hope this helps!!
If I am wrong please tell me I enjoy learning from my mistakes:)
Answer:
592
Step by step explanation:
0.8% = [tex]\frac{8}{1000}[/tex]
8 out of every 1000 trees are old
74 * 8 = 592
please help.
with the steps
Answer:
-4/243
Step-by-step explanation:
Your calculator can do this.
You know that 3³ = 27 and (-3)³ = -27. You also know that 3² = 9, and that anything to the zero power is 1. With these facts, you can simplify the expression to ...
[tex]\dfrac{\sqrt[3]{-27}-27^0}{3^3\times3^2}=\dfrac{-3-1}{27\times9}=\boxed{-\dfrac{4}{243}}[/tex]
May I please receive help?
ok I got you
it is 40
A bag only contains 4 red and 6 blue marbles. What is the probability of drawing a green marble?
NO LINKS OR TROLL
THIS IS YOUR WARNING
Answer:
0% chance
Step-by-step explanation:
there are no green marbles
Marbles no
red=4blue=6green=0There is no green marbles
So it will never occur(impossible event)
Probability is 0A salad dressing recipe calls for ¾ cup of oliva oil for every ½ cup of vinegar. How many cups of vinegar are needed for 2 cups of olive oil?
Answer:
[tex]1\frac{1}{3}[/tex]
Step-by-step explanation:
Write a proportion comparing the Oliva Oil to Vinegar = Oliva Oil to Vinegar.
[tex]\frac{3/4}{1/2} = \frac{2}{?}[/tex]
3/4 ? = 2(1/2)
3/4? = 1
? = 1 ÷ 3/4
? = 1 × 4/3
? = 4/3
[tex]? = 1\frac{1}{3}[/tex]
Which of the following solution sets represent the inequality 3-1/2x>10?
[tex]3- \dfrac 12 x >10\\\\\implies - \dfrac x 2> 10 -3\\\\\implies -\dfrac x 2 >7\\\\\implies -x > 14\\\\\implies x<-14\\\\\text{Interval solution,}~ (-\infty,-14)[/tex]
The points (2, 1) and (0, –11) fall on a particular line. What is its equation in slope-intercept form?
5x+2y=6 3y=2x+9 how many solutions does this problem have? No solution, one solution, or infinite solutions
Answer:
One solution
Step-by-step explanation:
First, organize the equations by moving y to the left hand side:
5x + 2y = 6, subtract 5x from both sides and we get: 2y=6-5x
3y = 2x + 9 is already done
Next, set the coeficcient of both y values equal to the least common multiple of 2 and 3 which is 6:
2y=6-5x multiply both sides by 3, 6y = 18-15x
3y=2x+9 multiply both sides by 2, 6y = 4x+18
Substitute y on both sides and we get 18-15x=4x+18
Simplify that and you get 19x=0, x equals 0, so there is one solution
Y'all i need some help with this.
Answer:
Divide everything by 100.
Step-by-step explanation:
If you divide every number you want by 100, you get a decimal out of 100.