Answer:
[tex]x = \frac{60}{5} = 12[/tex]
..........................................
Use the factors of the function and the y-intercept to find the standard form of the equation representing Jared’s function.
Type the correct answer in the box.
This is the function.
Using the Factor Theorem, it is found that the function is given by:
[tex]f(x) = 0.0409(x^3 + x^2 - 77x - 330)[/tex]
The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:
[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]
In which a is the leading coefficient.From the graph, the zeroes are [tex]x_1 = -8, x_2 = -3, x_3 = 10[/tex], hence:
[tex]f(x) = a(x + 8)(x + 3)(x - 10)[/tex]
[tex]f(x) = a(x^2 + 11x + 33)(x - 10)[/tex]
[tex]f(x) = a(x^3 + x^2 - 77x - 330)[/tex]
From the y-intercept, that is, when [tex]x = 0, y = -13.5[/tex], we find a.
[tex]f(x) = a(x^3 + x^2 - 77x - 330)[/tex]
[tex]-330a = -13.5[/tex]
[tex]330a = 13.5[/tex]
[tex]a = \frac{13.5}{330}[/tex]
[tex]a = 0.0409[/tex]
Hence:
[tex]f(x) = 0.0409(x^3 + x^2 - 77x - 330)[/tex]
To learn more about the Factor Theorem, you can take a look at https://brainly.com/question/24380382
Answer:
first guy is wrong
Step-by-step explanation:
my teacher said it's wrong, when I find out the right answer ill put it here
PLEASE HELP I NEED THIS NOW. 20 POINTS & ILL MARK BRAINLIEST
Find the measures of the complementary angles that satisfy each case:
The measure of the first angle is 40 degrees less than the measure of the second
9514 1404 393
Answer:
25°, 65°
Step-by-step explanation:
Essentially, you want two angles that have a sum of 90 degrees and a difference of 40 degrees.
The smaller is half the sum less half the difference: 90/2 -40/2 = 45 -20 = 25.
The larger is half the sum plus half the difference: 90/2 +40/2 = 45 +20 = 65.
Of course, once you know either value, you can add or subtract the difference (as needed) to find the other value.
The two angles are 25° and 65°.
_____
Additional comment
There are many ways you can arrive at this conclusion. Algebraically, we can write ...
a+b = sum
a-b = difference
Adding these two equations gives ...
2a = sum +difference
Multiplying by 1/2, we get ...
a = 1/2sum +1/2difference . . . . . . as described above
Subtracting the difference gives ...
b = a -difference = 1/2sum -1/2difference
Mark 4 feet of licorle to show 3/4
on number line
for his
Noah decides to change the design of the tabletop so that it is a rectangle with the same
area as his original tabletop design. How can Noah change his design to a rectangle but
keep the same area?
Choose one option from each drop-down menu to answer the question.
To change his design, Noah can make one vertical cut through the parallelogram to form
Choose...
Then, to make a rectangle, he can match up
Choose..
Noah's original tabletop design
has the same area as a rectangle with a base of Choose...ft and a height of
Choose... v ft.
Answer:
two triangles, the top of one figure with the bottom of the other figure, 8 and 4
Step-by-step explanation:
I am not sure if it's right but I hope it is!
Given the vectors ⃗⃗ = 〈2, 3, 5〉, ⃗ = 〈−2, 5, 0〉, ⃗⃗ = 〈−3, 2, 7〉 calculate:
a) ⃗⃗ + ⃗ + ⃗⃗
Answer:
a
Step-by-step explanation:
(01.02 MC)The number line shows the distance in meters of two jellyfish, A and B, from a predator located at point X:
Write an expression using subtraction to find the distance between the two jellyfish. (5 points)
Show your work and solve for the distance using additive inverses. (5 points)
hello again!
you can calculate the distance between A and B by subtracting
distance = B-A=0.5m-(-1.5)m=2m
tina bought some clothes from a high end store that cost 6,719. her friend Betty bought the same quantity of clothes from a low end store that cost 1,282 how much money did Betty saved by buying at the low end store?what is betty total savings when rounded to the nearest thousands?
Answer:
5437
Step-by-step explanation:
Subtract the original amount 6,719 and 1282
you get 5,437
Hope this helps!
Have a nice day! :D
Mark brainliest if possible pls :)
How to write 9 and 15 thousandths in decimals
Answer:
0.915
Step-by-step explanation:
QUESTION: 3 ÷ 0.05
EMERGENCY: Pls answer
Step-by-step explanation:
=3/0.05
=60ans.
mark me as a brainlist plz.
the answer is 60
You can solve it in calculator
What is the following quotient? 6-3( 3 square root 6/ 3 square root 9
Answer: The last option is the answer
3(3 root 3)-3(3 root 2)
Can someone help me and explain on paper , I’m still so confused
Answer:
Your answer is -5
Step-by-step explanation:
On paper;
i = $141.60; P = $590; t = 6
years find the rate
Answer:
888888
Step-by-step explanation:
2. ĐỊNH THỨC
2.1. Giải phương trình:
2 3 1
1 2 4 8 0
1 3 9 27
1 4 14 64
Answer:
Step-by-step explanation:
Uhm the third one number 3
WHat is the solution of x^2 + x-6 / x-7 < 0
Answer:
x≤-3 or 2≤x∠7
Step-by-step explanation:
It would be the first answer on the paper
Answer:
A
Step-by-step explanation:
[tex]\frac{x^2+x-6}{x-7} \leq 0\\[/tex]
hence numerator and denominator are of opposite sign.
case1 .
let x²+x-6≥ 0
and x-7<0
x²+x≥6
x²+x+1/4≥6+1/4
(x+1/2)²≥25/4
(x+1/2)²≥(5/2)²
|x+1/2|≥5/2
x+1/2≥5/2
x≥5/2-1/2
x≥2
or
x+1/2≤-5/2
x≤-5/2-1/2
x≤-3
also x-7<0
x<7
combining
x≤-3 or 2≤x<7
case 2.
x²+x-6<0
and x-7≥0
x²+x<6
x²+x+1/4<6+1/4
(x+1/2)²<25/4
|x+1/2|<5/2
so -5/2 <x+1/2<5/2
-5/2-1/2<x<5/2-1/2
-3<x<2
also x-7≥0
so x≥7
combining
we get no vlaue satisfying both the values.
Hence rejected.
Convert 5 over 9 into a decimal
Answer: 0.556
Step-by-step explanation:
Answer:
5/9 as a decimal is .5 repeating. I hope this helps.
Which number line correctly shows the graphing of point A,2 1/2 point b -2.75 and point c -0.25
Answer:
C
Step-by-step explanation:
There are two negative numbers must be before zero and one positive number must be after zero
A = 2 1/2 = 2.5 between 2 and 3
B = -2.75 between -2.5 and -3
C = -0.25 between 0 and -0.5
What is the equation of a line that passes through the points (6,-4) and (1,6)
Answer: y = -1/2x + 8
Step-by-step explanation:
Answer: Y=-1/2x+8
Step-by-step explanation:
You have to divide
The specifications for the dimensions of a new cardboard container are shown. If the volume of the container is modeled by V(h) = 2h^3 - 9h^2 + 4h and it will hold 45 cubic inches of merchandise, what are the containers dimensions?
Solving a cubic equation, it is found that the dimensions of the container are of 1 inch, 9 inches and 5 inches.
The volume of the cubic container is given by the following equation:
[tex]V(h) = 2h^3 - 9h^2 + 4h[/tex]
Since it holds 45 cubic inches of merchandise, we have that [tex]V(h) = 45[/tex], then:
[tex]V(h) = 2h^3 - 9h^2 + 4h[/tex]
[tex]45 = 2h^3 - 9h^2 + 4h[/tex]
[tex]2h^3 - 9h^2 + 4h - 45 = 0[/tex]
Using a cubic equation calculator, the real solution is [tex]h = 5[/tex], thus, the dimensions are:
[tex]h = 5[/tex]
[tex]h - 4 = 5 - 4 = 1[/tex]
[tex]2h - 1 = 2(5) - 1 = 10 - 1 = 9[/tex]
The dimensions of the container are of 1 inch, 9 inches and 5 inches.
A similar problem is given at https://brainly.com/question/16606259
Evaluate the expression. 4^2−3⋅4+7 Enter your answer in the box.
The answer is:
11
Hopefully this is right
Answer:
11
Step-by-step explanation:
[tex]4^{2}[/tex]-3*4+7 = 16 -12+7 = 4+7 = 11
Can you help<333? If not it’s gine
Answer:
It should 120 students
Step-by-step explanation:
Answer:
120 students
Step-by-step explanation:
4/7×210=120
the sum of 2 numbers which are in a ratio 2:5 is 21 what are the numbers
Ratio = 2 : 5
Numbers = 2x & 5x
[tex]2x + 5x = 21 \\ 7x = 21 \\ x = 21 \div 7 \\ x = 3[/tex]
Numbers :-
2x = 2 × 3 = 6
5x = 5 × 3 = 15.
The numbers are 6 & 15.
.
-1 + 4c = -19
-
-
C =
Answer:
Hey mate.....
Step-by-step explanation:
This is ur answer....
-1 + 4c = -194c = -19 + 14c = -18c= -18/4c = 9/2Hope it helps!
Brainliest pls!
Follow me! ♧
Hey can you help me.?
The length of the hypotenuse of a right triangle is one unit more than twice the height. What is the height of the triangle if the base is 8?
The height of the triangle if the base is 8 is 3.96 units
Given the following parameters
Base of a triangle = 8 units
Let the hypotenuse be "c"
Let the height be "h"
If the length of the hypotenuse of a right triangle is one unit more than twice the height, then;
c = 2h + 1
According to the Pythagoras theorem:
c² = b² + h²
(2h + 1)² = 8² + h²
Expand
4h²+4h+1 = 64 + h²
4h²-h² + 4h + 1 - 64 = 0
3h² + 4h - 63 = 0
Factorize the result
On factorizing, the value of the height is 2
h = [tex]\frac{-2}{3}+\frac{\sqrt{193} }3\\[/tex]
h = 11.89/3
h = 3.96 units
Hence the height of the triangle if the base is 8 is 3.96 units
Learn more here: https://brainly.com/question/20545047
A cyclist rides her bike at a rate of 10 kilometers per hour what is this rate in miles per hour? How many miles will the cyclist travel in 3 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers l. Do not round your answers
Answer:
cyclist will travel 64 kilometres in 4 hours
Step-by-step explanation:
speed of cyclist = 10 miles per hour
given 1 mile is equal to 1.6 kilometres.
1*10 miles will be equal to 1.6*10 kilometres
thus , 10 mile is equal to 16 kilometres
using 16 km in place of 10 miles in 10 miles per hour
we have
speed of cyclist = 16 kilometres per hour
we know that distance = speed * time
speed is 16 kilometres per hour
time 4 hours
thus , distance = 16*4 kilometres= 64 kilometres.
cyclist will travel 64 kilometres in 4 hours.
(Hope this helps can I pls have brainlist (crown)☺️)
For the following exercises, find dy/dx for each function:
[tex]y= 1 / sin^2(x)[/tex]
Answer:
-2csc^2(x)cot(x)
Step-by-step explanation:
by derivative sin^-2(x)
Hey everyone I would greatly appreciate some help here :)
I’m doing a chapter quiz and I honestly am 99% sure this is right but since it’s a big quiz I thought it wouldn’t be bad to get a second opinion and if I’m wrong a step by step answer so I can do it properly next time ok so here is question
Jasmine opened a bank account and she deposited 84.50 dollars into her account every month for 20 months. She also used 50.50 every month to pay for dance lessons, after 20 months she used 1/49& the total money left in her account to go to camp. What is the total amount of money jasmine spent to go to the camp?
115
135
155 or
170
Now I picked 170 because I got 680 from all that and 1/4 of 680 is 170 atleast I’m 99% sure lol if I’m right just let me know but if I’m wrong please tell me how so I can do it properly next time :)
Answer:15
Step-by-step explanation:
Graph the line that passes through the points (-3, -5)(−3,−5) and (-6, -3)(−6,−3) and determine the equation of the line.
In the equation 4x² - 16x + 12 = 0, the solution is?
Answer:
x = 3 or x = 1Step-by-step explanation:
[tex] {4x}^{2} - 16x + 12 = 0 \\ {4x}^{2} - 4x - 12x + 12 = 0 \\ 4x(x - 1) - 12(x - 1) = 0 \\ (4x - 12)(x - 1) = 0 \\ [/tex]
(4x - 12) = 0 or (x - 1) = 0
[tex](4x - 12) = 0 \\ 4x - 12 = 0 \\ 4x = 0 + 12 \\ 4x = 12 \\x = \frac{12}{4} \\ x = 3 \\ [/tex]
[tex](x - 1) = 0 \\ x - 1 = 0 \\ x = 0 + 1 \\ x = 1[/tex]
x = 3 or x = 1 should be.
help? with complete solution please help me please
9514 1404 393
Answer:
13 ft(a) 1 second; (b) t = 0, t = 1/2Step-by-step explanation:
1.Let w represent the length of the wire. Then the height of attachment is (w-1). The Pythagorean theorem tells us a relevant relation is ...
5² +(w -1)² = w²
w² -2w +26 = w² . . . . . . . eliminate parentheses, collect terms
26 = 2w . . . . . . . . . . . . add 2w
13 = w . . . . . . . . . . . . divide by 2
The length of the wire is 13 feet.
__
2.(a) When h = 0, the equation is ...
0 = -16t^2 +8t +8
Dividing by -8 puts this into standard form:
2t^2 -t -1 = 0
Factoring, we get ...
(2t +1)(t -1) = 0
The positive value of t that makes a factor zero is t = 1.
It will take 1 second for the gymnast to reach the ground.
__
(b) When h = 8, the equation is ...
8 = -16t^2 +8t +8
Subtract 8 and divide by 8 to get ...
0 = -2t^2 +t
0 = t(1 -2t) . . . . factor out t
Values of t that make the factors zero are ...
t = 0
t = 1/2
The gymnast will be 8 feet above the ground at the start of the dismount, and 1/2 second later.