The graph represents a cubic function. Write the function.
Zeros are
(0,0)(-3,0)(-4,0)Write in factor form and solve
(x-0)(x-(-3))(x-(-4))=0x(x+3)(x+4)=0x[x(x+4)+3(x+4)]=0x(x²+4x+3x+12)=0x(x²+7x+12)=0x³+7x²+12x=0Points given (-2,16)
Solve for n
n(x³+7x²+12x)=yOn solving we get
n=-4So the function is
y=-4(x³+7x²+12x)y=-4x³-28x²-48xAnswer:
-4x³ - 28x²- 48x
Explanation:
x-intercept: (-4, 0), (-3, 0), (0, 0)→ so equation: a(x+4)(x+3)(x+0)
point given: (-2, 16)→ substitute these points to find a
a(-2+4)(-2+3)(-2) = 16a = -4so the graphed cubic equation:
-4(x+4)(x+3)(x+0)-4x³ -28x²-48xdrake uses 9/4 cups of sugar to make 9 mugs of brownies how much sugar is required to make one brownie
Answer:
1/4 cup
Step-by-step explanation:
9/4 / 9 =
9/4 *1/9 the nines cancel out to leave
1/4
On a coordinate plane, 3 lines are shown. Line a has points (negative 3, 3) and (3, negative 3). Line b has points (negative 3, negative 2) and (2, 3). Line c is parallel to line b.
If line b is perpendicular to line a, and line c is perpendicular to line a, what is the slope of line c?
Answer:
slope c =1
Step-by-step explanation:
slope for line (y2-y1)/(x2-x1)
slope of line a = (-3-3)/(3-(-3))
slope of line a = -6/6 = -1
if line c is perpendicular to line a, so relationship for slops are
(slope a) *(slope c)= -1
(-1)*(slope c) = -1
slope c =1
Answer:
mc = 1
Step-by-step explanation:
A French professor gives Sections 1 and 2 of a French course the same passage to translate. Section 1 has 28 students, and 5
translate the passage correctly. Section 2 has 22 students, and 8 translate the passage correctly. (See Example 3.)
(a) If one of the papers is selected at random, what is the probability that it is a correct translation? (Round your answers
to three decimal places.)
(b) One of the papers is selected and is known to be from Section 1. What is the probability that it is a correct translation?
(Round your answers to three decimal places.)
(c) A paper is selected and is known to be a correct translation. What is the probability that it is from Section 2? (Round
your answers to three decimal places.)
Using it's concept, it is found that the probabilities are given by:
a) 0.26 = 26%.
b) 0.179 = 17.9%.
c) 0.615 = 61.5%.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Item a:
8 + 5 = 13 correct translations out of 28 + 22 = 50 students, hence:
p = 13/50 = 0.26 = 26%.
Item b:
5 correct translations out of 28, hence:
p = 5/28 = 0.179 = 17.9%.
Item c:
There are 13 correct translations, and of those, 8 are from section 2, hence:
p = 8/13 = 0.615 = 61.5%.
More can be learned about probabilities at https://brainly.com/question/14398287
Akeelah makes lanyards for her friends. She uses 12 feet of cord to make a
total of 6 lanyards. Which expresses the unit rate for the length of cord
needed to make one lanyard?
Answer:
2 feet of cord
Step-by-step explanation:
Hey there!
In order to find out what the length of cord needed to make one lanyard, we need to take into consideration how much cord she needed to make for 6 lanyards
It says that she used 12 feet of cord to make 6 lanyards meaning that for one lanyard, she used 2 feet feet of cord to make one lanyard
To find that out, all you need to do is divide the two numbers together to find out how much cord was needed to make one lanyard
So Akeelah needs 2 feet of cord to make one lanyard
What type of triangle is defined by the following set of side lengths
11, 9 , 7
Question 4 options:
Acute
Obtuse
Right
Not a triangle
Answer:
it looks like a triangle but it is not it is called a Nonigon
The following are the temperatures in °C for the first 10 days in January:
-0.1, 3.5, 6.4, 3.8. 4.7, 76, 4.7, 8.1, -1.8, -8
Calculate the range.
Give your answer as a decimal.
Answer:
84.0
Step-by-step explanation:
Range: Highest value - lowest value
Highest value: 76
Lowest value: -8
= 76 - (-8)
= 84
= 84.0
Can someone help me on this question
Answer:
D
Step-by-step explanation:
as shown, the angles are equal. You can assume that x also follows that rule.
The area of the figure is
square units?
Answer:
8 squared units
Sorry if this answer is not correct, if it is or is not, please tell me in the comments!
Step-by-step explanation:
Rectangle:
To find the area of the rectangle, we need to mutiply the base and the height. 3 units(base) x 2 units(height) = 6 squared units
Triangle:
To find the area of the triangle is very similar to finding the area of the rectangle. We need to multiply the base and the height and divide it by 2.
Base= 2 units(since it is a rectangle, the opposite side is the same length)
Height = 2 units
Next, we plug it in to this formula: 1/2 bh (b = base and h = height)
multiplying by one half is the same as dividing by 2
The area of the triangle is 2 x 2 = 4
4 divided by 2 = 2 squared units
For the final step, we add the areas together. (6+2 = 8) the label is very important (squared units)
Which expressions are equivalent to 4^-2 x 7^-2
Answer:
[tex]\frac{1}{784}[/tex]
Step-by-step explanation:
4⁻² * 7⁻²
Use the Negative Exponent Property: x⁻ⁿ = [tex]\frac{1}{x^n}[/tex]
[tex]4^{-2}*7^{-2}\\\\ \frac{1}{4^2}*\frac{1}{7^2}\\\\ \frac{1}{16}*\frac{1}{49}\\\\ \frac{1}{784}[/tex]
Hope this helps!
are these answer correct?
Answer:
yessir
Step-by-step explanation:
How many equilateral triangles are there in a regular hexagon.
There are total 6
Look at the attachment for proof
If we join all three diagonals we get 6 equilateral triangle
Answer:
There are 6 equilateral triangles in a regular hexagon.
Step-by-step explanation:
A regular hexagon can be dissected into 6 equilateral triangles by adding a center point .
An item is regularly priced at $25 . It is now priced at a discount of 60% off the regular price. What is the price now?
Step-by-step explanation:
sp = mp-d%*mp
= $25-60/100*$25
=$10
now the price of an item is $10.
The volume of this right trapezoidal prism is 341.25 ft³.
What is the height, x, of the prism?
Enter your answer as a decimal in the box.
Answer:10.5
Step-by-step explanation: I hope this helps
The height, x, of the right trapezoidal prism is 10.5 ft.
Given that, the volume of this right trapezoidal prism is 341.25 ft³.
We need to find the height x, of the prism.
What is the formula to find the volume of this right trapezoidal prism?The formula to find the volume of this right trapezoidal prism is Volume=BH.
Where B=Area of the Base and H=Height.
Area of the Base(Trapezium)=1/2(a+b)×h
Where a and b are parallel sides of the trapezium and h= height of the trapezium.
Now, the area of the Base=1/2(8+5)×5=32.5 ft²
The volume of the right trapezoidal prism=32.5×x
⇒341.25=32.5×H
⇒x=10.5 ft
Therefore, the height, x, of the right trapezoidal prism is 10.5 ft.
To learn more about the volume of the right trapezoidal prism visit:
https://brainly.com/question/27206909.
#SPJ2
Evaluate (8+t)^3 - 6 minutes when T=2
Answer:
994
Step-by-step explanation:
Answer:
994
Step-by-step explanation:
Given the expression
[tex](8+t)^{3}-6[/tex]
Also given
[tex]t=2[/tex]
We can substitute 2 for t.
[tex](8+2)^{3}-6[/tex]
Do the parenthesis first.
[tex]8+2=10[/tex]
Therefore
[tex]10^{3}-6[/tex]
Evaluate [tex]10^{3}[/tex]
[tex]10^{3}=1000[/tex]
[tex]1000-6=994[/tex]
Find the slope and the y-intercept of the linear equation: 2x+y=7
slope: 7; y-intercept: 2
slope: 2; y-intercept: 7
slope: -2; y-intercept: 7
slope: 1/2; y-intercept: 7
Answer:
The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Subtract 2x 2 x from both sides of the equation. Reorder 7 7 and −2x - 2 x . Using the slope-intercept form, the slope is −2 .
This is technically geography! But pls help! it's due soon! I'm offering 50 points!!
Answer:
(26 points for an answer... but anywho...)
Step-by-step explanation:
Hot air balloon: (20E, 10N)
Plane: (20E, 20S)
Whale: (10E, 20N)
Ship: (20W ,10S)
Bridge: (10W ,20S)
Truck: (15W, 20N)
I hoope this helps :)
Answer:
i wrote each one in explanation although you may need to add your WNSE labels. hope this helps.
Step-by-step explanation:
Hot air balloon (20,10)
Plane (20,20)
whale(10,20)
ship (20,10)
bridge (10,20)
truck(15,20)
a kite is a square with sides that are 18 feet long. What is the length of the vertical stripe?
25.46 ft
Solution↷To find the vertical stripe of the kite,we'll use this formula
√2awhere,
a ⇢ length of the side of the given kiteInserting the value of 'a' ( 18ft) in the formula,
we get,
length of the vertical stripe =√2a⇢√2 x 18ftlength of the vertical stripe ⇢25.46 fthence , the length of the vertical stripe of the given square kite = 25.46 ft
Answer:
C. 648 in.
Step-by-step explanation:
The image shows lines AB and CD.
Are the 2 lines parallel? Explain or show your reasoning.
No
Step-by-step explanation:To classify the lines as "parallel", the distance between both x-intercepts must be equivalent to the distance between both y-intercepts. In this case, the lines are not parallel because the distance between both y-intercepts is different than the distance of both x-intercepts.
Distance between two y-intercepts: 4 unitsDistance between two x-intercepts: 5 unitsSince 4 ≠ 5, the lines are not parallel.
Answer:
No, the lines are not parallel.
Step-by-step explanation:
Parallel lines have the same slope.
Therefore, find the slopes of both lines and compare.
Slope formula
[tex]\sf slope=\dfrac{change\:in\:y}{change\:in\:x}[/tex]
Line AB
A = (0, 6)
B = (8, 0)
[tex]\implies \sf slope=\dfrac{0-6}{8-0}=-\dfrac34[/tex]
Line CD
C = (-3, 4)
D = (0, 2)
[tex]\implies \sf slope=\dfrac{2-4}{0-(-3)}=-\dfrac23[/tex]
As the slopes of the 2 lines are different, the lines are not parallel.
Please help ASAP. Will give brainliest if correct!
What is 0.15...(repeating decimal) as a fraction in simplest form?
Clearly show your work.
Answer:
0.15 as a fraction in simplest form is 3/20.
Step-by-step explanation:
0.15 is the same thing as 15/100, divide both the numerator and denominator by 5 and your result is 3/20.
Answer:
0.15 as a fraction in simplest form is 3/20.
Step-by-step explanation:
0.15 is the same thing as 15/100, divide both the numerator and denominator by 5 and your result is 3/20.
how to solve (3p⁴ + 2q⁴)²
Answer:
9p⁸ + 12p⁴q⁴ + 4q⁸
Step-by-step explanation:
(3p⁴ + 2q⁴)² ⇒ The square of (3p⁴ + 2q⁴)
Squares are such bases that multiply itself two times.
⇒ (3p⁴ + 2q⁴)(3p⁴ + 2q⁴)
Simplifying the expression using (a + b)(a + b) = (a x a) + (ab) + (ab) + (b²)
⇒ (9p⁸ + 6p⁴q⁴ + 6p⁴q⁴ + 4q⁸)
⇒ (9p⁸ + 12p⁴q⁴ + 4q⁸) = 9p⁸ + 12p⁴q⁴ + 4q⁸
We know the identity
(a+b)²=a²+b²+2abSo
[tex]\\ \rm\Rrightarrow (3p^4+2q^4)^2[/tex]
[tex]\\ \rm\Rrightarrow (3p^4)^2+(2q^4)^2+2(3p^4)(2q^4)[/tex]
[tex]\\ \rm\Rrightarrow 9p^8+4q^8+12p^4q^4[/tex]
Done
Given a normal distribution with a mean of 28 and a standard deviation of 2.5, what percentage of the data should be between 25.5 and 30.5?
Using the Empirical Rule, it is found that 68% of the data should be between 25.5 and 30.5.
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.In this problem, we have that:
28 - 2.5 = 25.5.28 + 2.5 = 30.5.Within one standard deviation of the mean, hence, 68% of the data should be between 25.5 and 30.5.
More can be learned about the Empirical Rule at https://brainly.com/question/24537145
Solve for x and round to near tenth
Answer:
Step-by-step explanation:
[tex]\sf Cos \ x = \dfrac{adjacent \ side}{hypotenuse}\\\\\\cos \ x =\dfrac{4}{9}\\\\\\Cos \ x = 0.44\\\\x = Cos^{-1} \ (0.44)\\[/tex]
x = 63.9°
What is the length of a car if the length on the scale madel car is 17 cm and the scale is 2 cm : 50 cm?
Answer:
x= 425
Step-by-step explanation:
-7.5 as a mixed number
Answer:
[tex]-7\dfrac12[/tex]
Step by step explanation:
[tex]-7.5=-\dfrac{75}{10}=-\dfrac{15}2=-7\dfrac{1}2[/tex]
how to i put [tex]y^{2} +20x+8y+156=0[/tex] into standard form
Answer:
y=−4+2√5(−x−7)
y=−4−2√5(−x−7)
Write an equation for the line in slope intercept form
Answer:
[tex]y=-\frac{3}{4}x+4[/tex]
Step-by-step explanation:
Slope-intercept form: y = mx + b
Slope (m): [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Use two points on the line to find the slope (m)
(4, 1) and (-4, 7)
[tex]m=\frac{7-1}{-4-4} \\\\m=\frac{6}{-8}\\\\m=-\frac{6\div2}{-8\div2}\\\\m=-\frac{3}{4}[/tex]
y = mx + b
[tex]y=-\frac{3}{4}x+b[/tex]
Now we find b, using either (4, 1) or (-4, 7)
(4, 1)
[tex]y=-\frac{3}{4}x+b\\\\1=-\frac{3}{4}(4)+b\\\\1=-3+b\\+3 +3\\\\4=b[/tex]
[tex]y=-\frac{3}{4}x+b== > y=-\frac{3}{4}x+4[/tex]
Check your answer using either of the points:
[tex](4,1)\\y=-\frac{3}{4}x+4\\\\1=-\frac{3}{4}(4)+4\\\\1=-3+4\\\\1=1[/tex]
This statement is true
Therefore, our final answer is [tex]y=-\frac{3}{4}x+4[/tex]
Hope this helps!
Choose the phrase that correctly completes this sentence.
Taking out a loan is like ____________________.
Will give 30 points to who answers!
What is the domain of the function y = √√x+6-7?
x>_-7
x>_-6
x>_6
x>_7
the domain is
[tex]x \geqslant - 6[/tex]