Answer:
[tex]f(x)=x^2-x-12[/tex]
Step-by-step explanation:
Quadratic Function
Standard Form of Quadratic Function
The standard representation of a quadratic function is:
[tex]f(x)=ax^2+bx+c[/tex]
where a,b, and c are constants.
When the zeros of f (x1 and x2) are given, it can be written as:
f(x)=a(x-x1)(x-x2)
Where a is a constant called the leading coefficient.
We are given the two roots of f: x1=-3 and x2=4, thus:
f(x)=a(x+3)(x-4)
We also know that f(5)=8, thus:
f(5)=a(5+3)(5-4)=8
Operating:
a(8)(1)=8
Solving:
a=1
The function is:
f(x)=1(x+3)(x-4)
Operating:
[tex]\boxed{f(x)=x^2-x-12}[/tex]
Which of the following are integer solutions to the inequality below?
-3 < x ≤ 4
how far does the train go in 100 minutes
Answer: It definitely depends
Step-by-step explanation:
Solve for u. m/u^2+r=−k−y
9514 1404 393
Answer:
u = ±√(-m/(k+r+y))
Step-by-step explanation:
Subtract r, rearrange, then take the square root.
[tex]\dfrac{m}{u^2}+r=-k-y \qquad\text{given}\\\\ \dfrac{m}{u^2}=-k-y-r\\\\-\dfrac{m}{k+r+y}=u^2\\\\ \boxed{u=\pm\sqrt{-\dfrac{m}{k+r+y}}}[/tex]
Answer: +/- sqrt(m/-k-y-r)
Step-by-step explanation:
Determine how to translate triangle A'B'C' to triangle ABC.
Answer:
im not sure how to explain it, but you should look up your workbook on slader then type in the page of the homework you're doing and the answers are right there
Step-by-step explanation:
Solve the system by substitution. -8.x --- 3y -2x + 1 = y Submit Answer
Step-by-step explanation:
Jason has 34 raspberry scones and 51 blackberry scones. He wants to make as many identical bags of scones as possible. Each bag should have an equal number of raspberry scones and an equal number of blackberry scones. What is the greatest number of bags Jason can fill? Explain how you know.
Answer: The greatest number of bags Jason can fill = 17
Step-by-step explanation:
Given: Jason has 34 raspberry scones and 51 blackberry scones.
To make identical bags of scones as possible.
Each bag should have an equal number of raspberry scones and an equal number of blackberry scones.
The greatest number of bags Jason can fill = Greatest common divisor of 3
and 51.
= 17 [Since 34 = 2 x 17 , 51 = 3 x 17]
Hence, the greatest number of bags Jason can fill = 17
Anyone help with this one???
Answer:
translation left 5 units
Ramona is counting the posts between mile markers on the highway. In 1 mile, she counts 33 posts. If the posts are evenly spaced, how many feet apart are they? (1 mile = 5,280 feet)
Answer:
160 feet
Step-by-step explanation:
In order to solve this, we need to realize that the mile is being divided into 33 equal parts. Therefore our operation should look like this:
5,280 (the number of feet in 1 mile) / 33
5,280/33=160
The posts are 160 feet apart from each other.
HTH :)
So who knows the right answer?
Answer:
48
Step-by-step explanation:
just divid 25 into 1200
Please help me asap!!
Answer:
the second one ( - 3, -6)
Step-by-step explanation:
I used the method of substitution
Answer:
(-3, -6)
Step-by-step explanation:
You have 100 dollars and you give away 25% each week. How many weeks would it take to run out?
Answer:
1 day
Step-by-step explanation:
day if you're like mee because I will buy chips cards for games
Answer:
4
Step-by-step explanation:
Write a function rule for "the output is six times the input".
Answer:
y=6x
Step-by-step explanation:
In this function, the input is the variable x. The problem says that the output is six times the input, so we will need to multiply the input by 6. To write this as a function, set the output (y) equal to 6 times the input (x):
The perimeter of the triangle is 30 cm.
The perimeter of the rectangle is also 30 cm.
Answer:
The perimeter of the triangle is 30 cm.
The perimeter of the rectangle is also 30 cm.
Step-by-step explanation:
The perimeter of the triangle is 30 cm.
The perimeter of the rectangle is also 30 cm.
Deja, Ryan, and Jamie walked in the same race on Friday. their race was 1/4 the length of Alex's 20-kilometers race on Sunday. How many more meters did Alex than Deja and Jamie walked together.
1 kilometer=1,000 meters
Answer:
Their race was 1/4 the length of Alex's 20km = 20 x 1/4 = 5 km
Alex than Deja and Jamie walked together : 20 - 5 = 15 km = 15000 m
Step-by-step explanation:
(6x - 4) - ( 2x + 8) is equivalent to
What is the answer to this ?
Answer:
4x - 13
Step-by-step explanation:
( 6x - 4 ) - ( 2x + 8 )
The "-" sign outside of the parenthesis is equivalent to "-", hence one can distribute the "-" sign
( 6x - 4 ) - ( 2x + 8 )
6x - 4 - 2x - 8
Combine like terms
6x - 5 - 2x - 8
4x - 13
Pls help me I’m not that smart at fractions
Answer:
Step-by-step explanation:
5/8
you need to add all numerators, same denominator
5/8 because the denominator is the same, so you can just add 1+1+1+1+1 and put that over 8 (confusing)
﹛(-4,3), (-2,-1), (0,0), (1,4), (2,6)﹜Given this set, what is the domain?
Tom works 12 hours a day at a café. He is paid $8 an hour. How much
money is he paid in 10 days?
Answer:
Tom will be paid $140 in 10 days
Step-by-step explanation:
Answer:
Tom will be paid 960$ is 10 days
PLZ ANSWER QUICK IT WILL HELP A LOT!
Answer: the Y-axis
Step-by-step explanation:
y is swapped To negative
The ratio of white mice to gray mice for sale at the pet store is 5 to 2. There are 24 grey mice. What is the total number of mice for sale at the pet store?
F.62 H.210
G.150 J.84
Answer:
the ratio of black mice*
Step-by-step explanation:
The alphabet of the Bum - Bum tribe consists of 4 letters. A word in its language is any sequence of 4 letters, with at least 2 letters being the same. How many words are there in the language of the Bum - Bum tribe?
the answer is 4 words if not 6
The drawing below represents a 22-foot ladder with its base placed 10 feet from the bottom of a vertical wall.
which value is the best estimate for x?
a.24.3
b.63.0
c.27.0
d.65.6
Answer:
63°
Step-by-step explanation:
To get the value of x we will use the Pythagoras theorem
hyp² = opp²+adj²
Given
hyp is the length of the ladder = 22ft
Adjacent is the distance from the base of the ladder to the wall = 10ft
Angle of elevation = x
Using the SOH CAH TOA identity
Cos theta = adjacent/hypotenuse
Cos x = 10/22
Cos x = 5/11
x = arccos(5/11)
x = arccos(0.4545)
x = 62.96°
Hence the best estimate of x is 63°
Which of the following graphs represents the equation y- 4 = 3(x - 1)?
A. Graph A
B. Graph B
C. Graph C
D. Graph D
The graph of the equation is graph (D)
The equation of the graph is given as:
[tex]y- 4 = 3(x - 1)[/tex]
Add 4 to both sides of the equation
[tex]y = 3(x - 1) + 4[/tex]
Apply the distributive property
[tex]y = 3x - 3+ 4[/tex]
Evaluate the sum of -3 and 4
[tex]y = 3x +1[/tex]
The above means that, the graph of [tex]y- 4 = 3(x - 1)[/tex] has a slope of 3 and a y-intercept of 1
Hence, the graph of the equation is graph (D)
Read more about linear functions at:
https://brainly.com/question/15602982
I need help solving these two questions
3x-5x=0
x-5x=-10
Answer:
x=0 and x=5/2
Step-by-step explanation:
Combine like terms.
-2x=0
x=0/-2
x=0
-4x=-10
x=-10/-4
x=5/2
A semicircle was cut from a square sheet of blue construction paper . What is the area of the remaining blue construction paper as seen in the figure? (Do not include units)
Answer:
60.73cm
Step-by-step explanation:
10cm=diameter so raduis of circle=5cm
area of full circle=78.5398...
area of semicircle=39.2699...
area of square=100cm
100-39.26990817=60.73 cm
(x + 13y) + 8y=
:\ This is so confusing
Answer:
x+21 y
Step-by-step explanation:
(-)*(-)*(-)
a. +
b. -
c. 0
pls help
Answer:
b. -
Step-by-step explanation:
Note the rules of multiply/dividing negative numbers:
1) A positive number multiplied/divided by a positive number = a positive answer.
2) A positive number multiplied/divided by a negative number (and vice versa) = a negative answer.
3) A negative number multiplied/divided by a negative number = a positive answer.
~
Note the question.
The first part is multiplying a negative number with a negative number:
(-) * (-) = (+) , based on the rules given above.
Next, multiply the next number. Note that it is also a negative number:
(+) * (-) = (-) , based on the rules given above.
b. - is your answer.
~
Simplify: (3x-4)+(-2x+8).
Answer:
Step-by-step explanation:
x+4
rationalize root 3+root 5
Answer:
- 2
Step-by-step explanation:
To rationalise multiply by its conjugate.
The conjugate of [tex]\sqrt{3}[/tex] + [tex]\sqrt{5}[/tex] is [tex]\sqrt{3}[/tex] - [tex]\sqrt{5}[/tex] then
([tex]\sqrt{3}[/tex] + [tex]\sqrt{5}[/tex] )([tex]\sqrt{3}[/tex] - [tex]\sqrt{5}[/tex] ) ← expand using FOIL
= ([tex]\sqrt{3}[/tex] )² - [tex]\sqrt{15}[/tex] + [tex]\sqrt{15}[/tex] - ([tex]\sqrt{5}[/tex] )²
= 3 - 5
= - 2
Which is the graph of the system of inequalities
Answer:
A
Step-by-step explanation:
Try testing each graph by picking a point on the shaded region or none shaded region.
-1/5 and 6= y-intercept
4/5 and 2= slope
You may notice that it is in y-intercept form. So to find where the shaded region goes, test a coordinate and apply it to the equation, if the answer is false, than half of the line is not where the shaded region goes.