What are all the zeros of the polynomial
y= -x^3 -3x^2 +6x +8
In synthetic division
Answer:
x=2, -4, -1
Step-by-step explanation:
-x³-3x²+6x+8=0
Multiply entire equation by -1:
x³+3x²-6x-8=0
Since x=2 is a solution, then x-2 must be a factor. Then:
x³+3x²-6x-8/x-2=x²+5x+4
x²+5x+4=0
Factor this:
x²+5x+4=(x+4)(x+1)=0
x=-4, -1
x=2, -4, -1
Timmy the Elephant received an 87.5% on his math test. How many questions were on the test if he got 35 questions right?
Answer:
40
Step-by-step explanation:
35/40 in percentage is 87.5%
What is the value of V81
[tex] \sqrt{81} [/tex]
can someone help me with this?
a 40ft flag pole has a rope tied from the top to the ground. the rope makes a 25 degree angle with the ground, how long is the rope
Answer:
The rope is 94.65 feet.
Step-by-step explanation:
Please help! thanks !!!!
Answer:
I believe that D is the answer.
Step-by-step explanation:
The Y and X axis goes up by 1/8, so the Y value is 5/8 and the X value is -1/4.
(For the X axis, you need to simplify.)
How much would the painting company charge to paint a house that needs 20
hours of labor? A house that needs 50 hours?
Answer:
It depends how much they get paid which is 20 dollors
Step-by-step explanation:
SO THE ANSWER IS 20
what is 29503.488rounded two decimal places
Answer:29503.49
Step-by-step explanation:
Answer:
29503.49
Step-by-step explanation:
since the number in the thousandths place is greater than four, you round the number in the hundredths place up to the number that would come after that. In this case, 8 rounds up to 9
Write the equation of the line that passes through the points (0, -3) and (-4,1).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Step-by-step explanation:
I'm going to explain this in standard slope intercept form (y=mx+b) because it is easiest for this situation. I will also include converting it to point slope form. I will also show how to do straight into point slope form if you find that more helpful.
First thing is to identify difference in x and y in both points. From point 1 to point to, the x changes -4 and the y changes +4. We can rapresent this in rise over run fraction
[tex] \frac{4}{ - 4} = - 1[/tex]
So the slope is -1 because the slope is the simplified rise over run fraction.
Our next step is to find the y-intercept. This is easy because the first point is the y-intercept, so -3 is our y-intercept.
Now we know the equation.
[tex]y = - x - 3[/tex]
All we have to do now is convert it into point-slope form. So here is point slope form: y + y1 = m(x + x1). Y1 is the y-intercept and m is the slope.
[tex]y - 3 = - 1(x + x1)[/tex]
So x1 is the x intercept, so to find this you find the x value when y is 0. You can do this by using the standard form I've done because it is easiest.
[tex]0 = - x - 3 \\ x = - 3[/tex]
So when y is 0, then x is -3. Here is the complete point slope form of the line.
[tex]y - 3 = - 1(x - 3)[/tex]
-----------------------------------------------------
To put the line directly into point slope for you need to find the slope, y-intercept, and x-intercept and place the values in accordingly. If you aren't given the y-intercept and x-intercept straight away it can be difficult for some putting it directly in point slope form. That is why I recommend putting it into standard form then point-slope form.
Answer:
y=-1x-3
Step-by-step explanation:
First, you have to find the slope using the formula I attached. Using this formula, you will subtract the second y from the first y, which is 1-(-3) for this problem. That equals 4, so that will be the numerator of the slope. Next, you have to subtract the second x from the first x, which is -4-0 for this problem. That equals -4, so that will be the denominator for this slope. the fraction now is [tex]\frac{4}{-4}[/tex], which is -1. The slope is -1. The current equation looks like this: y=-1x+b. Now we can solve for b, or the y-intercept. To do this, you have to use the x and y of one of the coordinates, it doesn't matter which one, the answer will be the same. Use the first one, for example. The x is 0 and the y is -3, so the our equation to find b is -3=-1(0)+b, which is -3=0+b, which is -3=b, or b=-3. So now we know what b is. Now we have to two components we need to write the equation, the slope (-1) and the y-intercept (-3). Now we can write the equation. y=-1x+(-3), or y=-1x-3.
Use the graph below for this question: A 6 4 3 What is the average rate of change from x = -1 to x = -2? (1 point) 2 - 2 4 -1
Answer:
- 2
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ - 2, - 1 ] , then
f(b) = (f(- 1) = 5 ← corresponding value of y (- 1, 5 )
f(a) = f(- 2) = 7 ← corresponding value of y (- 2, 7 ) , thus
average rate of change = [tex]\frac{5-7}{-1-(-2)}[/tex] = [tex]\frac{-2}{1}[/tex] = - 2
2x^2+15x=8
factor or solve as indicated, show all work.
please and thank u!
Answer: x= -8 or x = 1/2
Step-by-step explanation:
2x^2 + 15x = 8 Subtract 8 from both sides to let the whole equation equal 0
- 8 -8
2x^2 + 15x - 8 = 0 Now find two numbers that if you multiply them, their product will be -16 and their sum will be 15. An example is the numbers 16 and -1. 16 times -1 is -16 and 16 plus -1 is 15.
Rewrite the whole equation in this form,
2x^2 +16x - 1x - 8 = 0 Factor on the left side
2x ( x + 8) -1 (x + 8) = 0 Now factor out x + 8
(x + 8) (2x -1) = 0 Set each expression equal zero, because for the whole expression to equation to 0, either one of them or all of them have to equation zero.
x + 8 = 0 or 2x - 1 = 0
-8 -8 +1 +1
x = - 8 2x = 1
x = 1/2
Find the length of arc AB. Use 3.14 for T,
Round to the nearest tenth.
20
1 ? ]cm
Please help
Answer:
12.4 cm
Step-by-step explanation:
Length of an arc AB = [tex] \frac{\theta}{360} \times 2 \pi r [/tex]
Where,
[tex] \theta = 90 [/tex]
[tex] \pi = 90 [/tex]
r = 7.9 cm
Plug in the values
Length of an arc AB = [tex] \frac{90}{360} \times 2 \times 3.14 \times 7.9 [/tex]
[tex] = \frac{90 \times 2 \times 3.14 \times 7.9}{360} [/tex]
Length of an arc AB = 12.4 cm (nearest tenth)
Answer:
Step-by-step explanation:
answer is 12.4cm !
GMM
The numbers are
36
X
And 46 degrees
Answer:
45
Step-by-step explanation:
just had that q and sumbitted my quiziz and got it correct
Please show how u got your answer
The scale of a map is 1 inch = 25 miles. On the map, the distance between two cities is 5.25 inches. What is
the actual distance in miles?
Answer:
131.25 miles
Step-by-step explanation:
if 1 inch equals 25 miles then you need to times 25 by 5.25 and you will get 131.25 miles.
0.26÷1.56 ...........................................................................................
Answer:the answer is 0.16 in the calculator its 0.166666666667 but just take the first 3 numbers at thats your answer.
Step-by-step explanation:
A real estate agent earns a 2% commission on each home that he sells. What is his commission if he sells a home worth $1,000,000?
A fastball is hit straight up over home plate. The ball's height, h (in feet), from the ground is modeled by ℎ = −16푡 ଶ+103푡+5 where t is time (in seconds).
Question:
A fastball is hit straight up over home plate. The ball's height, h (in feet), from the ground is modeled by h(t)=-16t^2+80t+5, where t is measured in seconds. Write an equation to determine how long it will take for the ball to reach the ground.
Answer:
[tex]t = 5.0625[/tex]
Step-by-step explanation:
Given
[tex]h(t)=-16t^2+80t+5[/tex]
Required
Find t when the ball hits the ground
This implies that h(t) = 0
So, we have:
[tex]0=-16t^2+80t+5[/tex]
Reorder
[tex]-16t^2+80t+5 = 0[/tex]
Using quadratic formula, we have:
[tex]t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]
Where
[tex]a = -16[/tex] [tex]b =80[/tex] [tex]c = 5[/tex]
So, we have:
[tex]t = \frac{-80\±\sqrt{80^2 - 4*-16*5}}{2*-16}[/tex]
[tex]t = \frac{-80\±\sqrt{6400 +320}}{-32}[/tex]
[tex]t = \frac{-80\±\sqrt{6720}}{-32}[/tex]
[tex]t = \frac{-80\±82.0}{-32}[/tex]
This gives:
[tex]t = \frac{-80+82.0}{-32}[/tex] or [tex]t = \frac{-80-82.0}{-32}[/tex]
[tex]t = \frac{2}{-32}[/tex] or [tex]t = \frac{-162}{-32}[/tex]
[tex]t = -\frac{2}{32}[/tex] or [tex]t = \frac{162}{32}[/tex]
But time can not be negative.
So, we have:
[tex]t = \frac{162}{32}[/tex]
[tex]t = 5.0625[/tex]
Hence, time to hit the ground is 5.0625 seconds
this is a trigonometry question .
Answer:
AB ≈ 5.6 cm
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos62° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{AB}{12}[/tex] ( multiply both sides by 12 )
12 × cos62° = AB , thus
AB ≈ 5.6 cm ( to 1 dec. place )
Merritt is driving to Mount Shasta. On her map, she is a distance of 7 inches away. The scale of the map is 2 inches is to 50 miles. How far must Merritt travel to reach her destination?
Answer:
7 inches on the map is 175 miles.
Step-by-step explanation:
2 inches equals 50 miles. Use 50 divided by 2 to find the 1-inch scale which is 1:25 ( one inch to 25 miles)
i need help 5+(−4)+(−7)+2
can you guy help me for this questions
Answer:
-4
Step-by-step explanation:
first remove the parentheses
5-4-7+2
then calculate the sum or difference
-4
Find the distance between the two points rounding to the nearest tenth (if necessary).
(-4,-6) and (-9,6)
Answer:
13
Step-by-step explanation:
[tex]d=\sqrt{(x2-x1)^{2} +(y2-y1)^{2} } \\d=\sqrt{(-9--4)^{2} +(6--6)^{2} } \\d=\sqrt{25 +144}\\d=\sqrt{169}\\d=13[/tex]
A cube with a volume of 75 cm is dilated bya factor of 5.
What is the volume of the dilated cube?
Enter yOur answer in the box
cm
Answer:
The volume of the dilated cube is 9375cm³. The volume of the original cube is 75 cm³. The scale factor for the dilation is 5. We multiply the volume of the original cube by 125 to obtain the volume of the dilated cube.
Step-by-step explanation: If thats
not right, then i am sorry, i am just getting started
HELP ASAP PLZ What value of d makes the equation (3d – 2) = }(d + 5) true?
1 Remove parentheses.
3d-2=d+5
2 Add 22 to both sides.
3d=d+5+2
3 Simplify d+5+2 to d+7.
3d=d+7
4 Subtract d from both sides.
3d-d=7
5 Simplify 3d-d to 2d.
2d=7
6 Divide both sides by 2.
7/2=d
7 Flip sides.
d=7/2
(Optional decimal form)
d=3.5
So 7/2 or 3.5
what is 9 divided by 3 plus for times 6 plus 8
Answer: 50
Step-by-step explanation: 9 divided by 3 plus 4 times 6 plus 8 equals 50
Answer:
35
Step-by-step explanation:
9 ÷ 3 + 4 · 6 + 8
Do 9 ÷ 3 first
3
Plug this value back into the equation
3 + 4 · 6 + 8
Do 4 · 6 next
24
Plug this value back into the equation
3 + 24 + 8
Add 3 to 24
27
Plug this value back into the equation
27 + 8
Add
35
Hope this helps :)
Please consider Brainliest :)
How do I solve 6x—20=
Answer:
Can not be determined
Step-by-step explanation:
regularly, you would +20 to both sides, but without a full =, you cant solve. If the equation is 6x-20=0, x would equal 3 2/6.
Hope this helps!
Andrea earned 200 points on a school assignment. Because the
assignment was turned in late, the score was reduced to 20 points.
What was the percentage decrease in the score?
Symbol requiere
Answer:
It was approximately a 9% decrease. (If you need to round to the nearest tenth, 9.1. If you need to round to the nearest hundredth, 9.10).
Step-by-step explanation:
I am going to assume that the question means that Andrea could have earned 220 points on the assignment, but instead because the assignment was late, she was marked down 20 points. (Reduced to 20 points is kind of awkward wording).
Given that, 20 divided by 220 comes out to 0.0909 repeating.
0.09, as a percentage, is 9%. (Again, 0.0909, 9.09%, could be rounded up to 9.1%).
Hope this helps!
In a recipe, for every 3/4 cup of flour, 1/3 cup of sugar is needed. How many cups of sugar are needed for 1 cup of flour? (Leave your answer in fraction form).
Answer:
1/9 cup of sugar for every 1/4 cup of flour
Step-by-step explanation: Turn the 1/3 into 3/9 and I'm sure you can figure it out from there.
A circular clock has a circumference of 48.5 meters. What the measurement of the radius, in meters, of the clock?
Answer:
The radius of the clock is 7.72 meters
Step-by-step explanation:
Here, we want to calculate the radius of a clock which has a circumference of 48.5 m
Mathematically;
Circumference C = 2 * pi * r
48.5 = 2 * 22/7 * r
7 * 48.5 = 44r
r = (7 * 48.5)/44
r = 7.72 meters
Find the discriminant and state the number and type of solutions.
-3.02 - 6x + 5 = 8
30 points!!! I think. Anyways, what’s your favorite thing to do with your mom.
Answer: My favorite thing to do with my mom is either go shopping with her or cooking yummy desserts, like cookies, brownies, Etc...
The downside is that my mom get's really annoyed with me so i don't really go shopping especially with all this Coronavirus stuff going on.... And also what's your favorite thing to do with your mom???
Thank you so much!!! :D Stay safe and have a great day/night!!! :D