I NEED HELP!
The function f(x) is a quadratic function and the zeros of f(x) are - 2 and 5. The y-intercept of f(x) is 30. Write the equation of the quadratic polynomial in standard form.
f(x)=___________
Answer:
Step-by-step explanation:
First of all you have to put the zeros into factor form.
y1 = (x + 2)(x - 5)
Notice that the x changes sigh. You say that the zeros are -2 and 5. To get y1 to go to zero, you must make x the opposite sign of what you are given.
Now you have to expand the factored form to get the standard form
y = x^2 + 2x - 5x - 10
y = x^2 - 3x - 10
That's not the right answer.
f(0) = 30 but you have - 10 at the end so you have to multiply the factored form by - 3
-3(f(x)) = -3(x + 2)(x - 5)
-3(f(x)) = -3(x^2 - 3x - 10)
f(x) = -3x^2 + 9x + 30
f(0) = -3(0)^2 + 9(0) + 30
f(0) = 30
The quadratic still has roots of (x +2)(x - 5) but that 3 makes the y intercept = 30.
See the graph below.
A playground is rectangular with a length of 12 miles. If the area of the playground is 58 square miles, what is its width? Input your answer as a fraction.
Answer:
4 5/6 miles
Step-by-step explanation:
Area of a rectangle = length x width
58 = 12 x width
to find width, divide both sides of the equation by 12
58/12 = 4 whole number and 10 would remain
4 10/12
to simply, divide numerator and denominator by 2
4 5/6 miles
HELP MEEEEEEEEEEEE 3.0
Answer:
I think that J would be the answer , It is more reliable than the left ones .
Hope it was helpful , good luck ^^
How do you work the problem 6y < 18 out
Answer:
y<3
Step-by-step explanation:
6y<18
y<18/6
y<3
I hope this helps
Answer: you can see what number times 6 gets you 18 so it would be y<3
Step-by-step explanation:
Janet and Artie want to play tug-of-war.
Artie pulls with 200 pounds of force while
Janet pulls with 60 pounds of force. In
order to make this a fair contest, Janet
enlists the help of her friends Trudi, Sherri,
andyBridget who pull with 20, 25, and 55
pounds respectively. Write an inequality
describing the minimum amount Janet's
fourth friend, Tommy, must pull to beat
Artie.
Answer:
Tommy would have to pull at least 40.0000000..... something to beat Artie but the closest whole number is 41 becouse it has to be over 200
Step-by-step explanation:
200 /= 60 + 20 +25 + 55 + x
200/= 160 + x - 160 both sides
40 = x
1. Mr. Jay has 24 students and 75% of them are boys. How many are boys?
Answer:
18
Heart if this helped
HELP! I NEED THIS QUESTION ANSWERED ASAP!!!!!
HERE!
Angle X measures 53°
What type of angle is angle X?
Answers:
1 ) Obtuse
2) Right
3) Acute
Answer:
3 ) Acute
Step-by-step explanation:
Acute Angle - An angle less than 90 degrees.
Right Angle - An angle that is exactly 90 degrees.
Obtuse Angle - An angle more than 90 degrees and less than 180 degrees.
Straight Angle - An angle that is exactly 180 degrees.
Answer:
3)Acute
Step-by-step explanation:
any angle that is under a 90 degree angle or a right angle, is an acute angle. any angle that is above 90 degrees or a right angle is an obtuse andgle
Please help I have tried so hard
add 4x²y,-2xy²,-5xy²,3x²y plz explain
4x – 8
Please helppp
-2
Divide each term (-4x = 8 by -4)
Cancel the common factor of -4
x = 8/-4
THEN DIVIDE
x=-2
HELP ME IN NUMBER 1 AND 2
Answer:
Number is is A Number 2 is 77 trust ik math
If each square in the following floor plan represents 2.5 feet, what are the dimensions of the living room?
Can someone please help me
Please need help you know this
Answer:
Rule: Output = 2 * input + 1
Right blank: Output = - 1
Left blank: Input = 4
Step-by-step explanation:
Rule
Start with the rule
Output = 2 * input + 1
Let the output = y
Let the input = x
y = 2x + 1
Now
Right Blank
x = - 1
y = 2*-1 + 1
y = -2 + 1
y = - 1
That's the output for -2
Left Blank
The second blank asks you to solve for the input (x) The output (y) is 9
9 = 2x + 1 Subtract 1 from both sides
9-1 = 2x Combine
8 = 2x Divide by 2
8/2 = 2x/2
x = 4
A number "X" greater than 8
Answer:
X > 8
Step-by-step explanation:
Using the keywords greater than helps you.
John ran a race in 36 minutes. If each lap takes 9 minutes to run, write and solve an equation to find out how many laps John had to run.
SHOW YOUR WORK AND SOLVE PLEASE
Answer:
4 laps
Step-by-step explanation:
Solved using a proportion.
[tex]\frac{1}{9} = \frac{y}{36}[/tex]
9 × y = 1 × 36
9y = 36
9y ÷ 9 = 36 ÷ 9
y = 4
Find the area of the shaded region. Round to the nearest hundredth
Answer:
Area of the shaded region = 450.52 square inch
Step-by-step explanation:
Area of the shaded region = Area of the circle - Area of the right triangle inscribed in the semicircle
By applying Pythagoras theorem in the given right triangle,
(Hypotenuse)² = (leg 1)² + (leg 2)²
= (21)² + (20)²
Hypotenuse = [tex]\sqrt{441+400}[/tex]
= [tex]\sqrt{841}[/tex]
= 29
Since, hypotenuse of the right triangle is the diameter of the circle.
Therefore, radius of the circle = [tex]\frac{29}{2}[/tex]
= 14.5 in.
Area of the circle = πr²
= π(14.5)²
= 660.519
≈ 660.52 in²
Area of the right triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(21)(20)[/tex]
= 210 in²
Area of the shaded region = 660.52 - 210
= 450.52 square inch
Bentley had $25 to spend on 5 paintbrushes for his art class. After buying them, Bentley had $5 left. How much did each of the paintbrushes cost?
Answer:
$4
Step-by-step explanation:
$25-$5=20
20 divided by 5 = 4
Freddy exercise 3.5 hours per day 4 days last week he burned 440 calories per hour while exercising how many calories did Freddie burn by exercising last week
Answer:
6,160 calories
Step-by-step explanation:
total hours of exercising = 3.5 x 4 = 14
burns 440 calories per each hour
total calories burned is 440 x 14
On a number line, show all values of x for which |x|>3
Plz help me with this one!
Step-by-step explanation:
[tex]y = x + 5 \: \: \: \: y = - 3x + 1 \\ y = x + 5 \: \: \: \: x + 5 = - 3x + 1 \\ y = x + 5 \: \: \: \: 4x = - 4 \\ y = x + 5 \: \: \: \: x = - 1 \\ y = 4 \: \: \: \: x = - 1[/tex]
I need help fast please
Answer:
-2/3
Step-by-step explanation:
8^(x+2) =8^-2x
since the base are the same we deal with the exponent
x+2=-2x
x= -2/3
PLEASE HELP MEEEEE PLEASE!
Answer: my best guess would be c
Step-by-step explanation: I hope you figure this out maybe use Socratic app that might help
Answer:
(-2,2)
Step-by-step explanation:
the red line is y = x + 4 ( we know this as x = -4 is the x intercept)
the green one is y = -x (it intercepts in origin)
so, we equal the two equations to each other to get the interception point:
x + 4 = - x
4 = -2x
x = -2
we substitute x = -2 in any of the equations we get
y = -2 + 4 = 2 or y = -(-2) = 2
so the point is (-2,2) which is option C.
how much markup is $75 to $180
Answer:
105
Step-by-step explanation:
75+105 =180
Yo pls help me out, the question is on the picture.
ill mark brainliest if its correct. NO LINKS!
Margaret owns (5/6) of a section of land. She planted corn on (1/4) of her land. What fraction of the entire section is planted with Margaret’s corn?
Answer:
3/5
Step-by-step explanation:
subtract the fractions then turn the decimal into a fraction.
answer this question! i am having some trouble in khan..
Name the inequality!
1.7. In a Maths class, the girl to boy ratio is 7:5.
If there are 20 boys, how many girls are in the class?
Answer:
28 girls
Step-by-step explanation:
Let total students be ‘X’
No of girls = (X-20)
Girls/Boys=7/5=(X-20)/20
7(20) =5(X-20)
140=5X-100
5X=240
X = 240/5
X =48
So, Total Students are 48
No of girls = (X-20) = 48-20 = 28
Determine the opposite of 3p^7-8p
Step-by-step explanation:
Maybe you should flip flop