Given:
The function is:
[tex]y=-(2x-4)(x-2)[/tex]
To find:
The x-intercepts and zeros of the given function.
Solution:
We have,
[tex]y=-(2x-4)(x-2)[/tex]
For x-intercepts, [tex]y=0[/tex].
[tex]-(2x-4)(x-2)=0[/tex]
[tex](2x-4)(x-2)=0[/tex]
Using zero product property, we get
[tex](2x-4)=0[/tex] and [tex](x-2)=0[/tex]
[tex]2x=4[/tex] and [tex]x=2[/tex]
[tex]x=\dfrac{4}{2}[/tex] and [tex]x=2[/tex]
[tex]x=2[/tex] and [tex]x=2[/tex]
The given function has two equal zeroes or x-intercept, i.e., [tex]x=2[/tex].
Therefore, the zeroes are 2 and 2.
Note: All options are incorrect.
A line passes through (0, -1.8) and has a slope of -3. Write an equation of the line.
Answer:
y=-3x-1.8
Step-by-step explanation:
y-y1=m(x-x1)
y-(-1.8)=-3(x-0)
y+1.8=-3(x)
y+1.8=-3x
y=-3x-1.8
What is another word for relative frequency?
Answer:
frequency, relative frequency(noun) the ratio of the number of observations in a statistical category to the total number of observations. Synonyms: frequency, oftenness, absolute frequency, frequence.Step-by-step explanation:
brainliest?
Answer: frequency; ratio.
Step-by-step explanation:
1. Determine the following:
1.1. A car does a distance of 340 km for a consistent speed of 85 km/h. Hoy
long will it take the car to go the entire distance.
Answer:
v=d/t
v=340km/85km/h
v=4 km
I hope this helps you
i posted 2 others already plz help answer i really need this
Answer:No
Step-by-step explanation:
PLEASE HELP ME ITS DUEEE TODAYY!!!!!!!!!
height =h=16inch
Answer:
volume of cuboid =l×b×h
3840in³=20×12×h
h=3840/240=16inch
Can someone find the answer to this and not put a link out
Answer: B
Step-by-step explanation:
 What is the volume of this cone?
Hint: Find the radius from the given diameter.
Answer:
volume = 25.1 m³
Step-by-step explanation:
volume = 1/3πr²h = 1/3(3.14)(2²)(6) = 25.1 m³
15 cm
Which equation can be used to find the area of the of the parallelogram?
A)
A = (7)(5)
B)
A = (15)(5)
A = (15)(7)
Answer:
15 × 5
Step-by-step explanation:
mark me brainliest
Solve each inequality and describe what the solutions would look like on a number line. Be sure to include: 1. Where the solution starts 2. If the circle is open or closed 3. The direction the line is shaded 9+x > -11
Answer:
[tex]x >-20[/tex]
Step-by-step explanation:
Given
[tex]9 + x >-11[/tex]
Solving (a): The solution
[tex]9 + x >-11[/tex]
Collect like terms
[tex]x >-11-9[/tex]
[tex]x >-20[/tex]
Solving (b): Illustration on a number line
Where the solution starts
It starts on -20
Open or closed circle
An open circle; because the solution shows greater than
The direction
Greater than means that, the solution is towards the right.
Hence, the direction is right
PLEASE HELP. NO LINKS. NEED REAL EXPLANATION.
Answer:
Step-by-step explanation:
This is very easy watch
x^2-16x+ __
what do we do to find the blank?
We divide 16 by 2 to get 8
then we take the square of 8
which is 64
so this would be x^2-16x+ 64 = 64
REMEMBER 64 goes to BOTH sides of equation
r= 26, h = 16, S = ?
Answer:
S = 6
I think
Answer:
s=6
Step-by-step explanation:
if you are figuering it out in order then r=26 then you subtract 10 and get h=16 so then you subtract 6 more and get s=6
What is the measure of ?
Angles are not necessarily drawn to scale,
B
68
70°
D
A
С
Answer:
Angle x should be 138 degrees. But I don't see it as one of your options listed in the text of the question.
Is it one of your selections?
Height is 7 inches and the diameter is 2 inches what is the radius
Answer, 1
The radius is half the diameter
find the value of b if triangles are similar
Answer:
9 because the constant of proportianlity is 3/4 and 3/4 of 12 is 9.
how do you solve this help
Answer:
arc PST = 254°
Step-by-step explanation:
arc QPT = 180° because it is a diameter
arc PQ = 74°
arc PT = 180° - 74° = 106°
arc PST = 360° - 106° = 254°
Which measurement is equivalent to 84 inches?
A.8 feet
B. 1 yard, 2 feet, 24 inches
C. 7 feet, 4 inches
D. 4 feet, 40 inches
Answer: A
Step-by-step explanation:
Answer: B. 1 yard, 2 feet, 24 inches
Step-by-step explanation: 1 yard is 36 inches. Each feet is 12 inches, but there are 2 feet so 12 times 2 is 24 inches. And the last is just 24 inches. So, 36 + 24 + 24 = 84 inches
A.none
B.vertical
C.Adjacent
D.Complementary
E.Obtuse
Match each system of equations to the inverse of its coefficient to the inverse of its coefficient matrix, A^-1, and the matrix of its solution, X.
Answer: Look st the picture below.
Step-by-step explanation: I got this right on Edmentum.
please help! i have a certain amount of time. i'll give brainliest
Answer:
86ft²
Step-by-step explanation:
3x2/2=3
3x2/6=3
10x2.5=25
10x2.5=25
3x10=30
30+25+25+3+3=86
Which of the following values satisfy the inequality shown? You must select all that apply.
−4x ≤ −16
A. 4
B. -1
C. 12
D. -5
E. 0
F. 9
Answer:
A , C , F
Step-by-step explanation:
hello :
put this values in −4x ≤ −16 :
x=4 : −4(4) ≤ −16 means : -16≤ −16........true
x=-1 : −4(-1) ≤ −16 means : 4≤ −16........false
x=12 : −4(12) ≤ −16 means : -48≤ −16.......true
x=-5 : −4(-5) ≤ −16 means : 20≤ −16........false
x=0: −4(0) ≤ −16 means : 0≤ −16........false
x=9 : −4(9) ≤ −16 means :-36≤ −16.......true
The sixth grade art students are making a mosaic using tiles in shapes of right triangles. Each tiles has the leg measures of 5.2 cm and 6 cm. If there are 150 tiles in the mosaic, what is the area of the mosaic?
Given:
Each right triangular tiles has the leg measures of 5.2 cm and 6 cm.
There are 150 tiles in the mosaic.
To find:
The area of the mosaic.
Solution:
We know that, the area of a triangle is:
[tex]A=\dfrac{1}{2}\times Base\times height[/tex]
So, the area of Each right triangular tile is:
[tex]A=\dfrac{1}{2}\times 5.2\times 6[/tex]
[tex]A=\dfrac{1}{2}\times 31.2[/tex]
[tex]A=15.6[/tex]
There are 150 tiles in the mosaic. So, the area of the mosaic is:
[tex]Area=15.6\times 150[/tex]
[tex]Area=2340[/tex]
Therefore, the total area of the mosaic is 2340 cm ².
what is 1/3(w+18)=12 using distributive property?
Answer:
w = 18
Step-by-step explanation:
Given
[tex]\frac{1}{3}[/tex] (w + 18) = 12 ← distribute parenthesis on left side
[tex]\frac{1}{3}[/tex] w + 6 = 12 ( subtract 6 from both sides )
[tex]\frac{1}{3}[/tex] w = 6 ( multiply both sides by 3 to clear the fraction )
w = 18
when you are given a zero of a function and told that it has a multiplicity of 3, what does that mean?
Answer:
the zero of a function is what value you can plug in and get 0 as the answer.
having a multiplicity of 3 means that the zero is there 3 times so if your zero is 2 with multiplicity 3 then (x-2)^3 is what it looks like
Step-by-step explanation:
Which transformations are needed to change the parent cosine function to y = 3 cosine (10 (x minus pi))?
Answer:
See Explanation
Step-by-step explanation:
Given
New function: [tex]y = 3 \cos(10 (x -\pi))[/tex]
We can assume the parent function to be:
[tex]y = \cos (x)[/tex]
The new function can be represented as:
[tex]y = A*\cos((\frac{2\pi}{B})(x-c))[/tex]
Where
A = Vertical stretch factor
B = Period
C = Right shift
By comparison:
[tex]y = A*\cos((\frac{2\pi}{B})(x-c))[/tex] to [tex]y = 3 \cos(10 (x -\pi))[/tex]
[tex]A = 3[/tex]
[tex]c = \pi[/tex]
[tex]\frac{2\pi}{B} = 10[/tex]
Solve for B
[tex]B = \frac{2\pi}{10}[/tex]
[tex]B = \frac{\pi}{5}[/tex]
Using the calculated values of [tex]A,\ B\ and\ c.[/tex] This implies that, the following transformations occur on the parent function:
Vertically stretched by [tex]3[/tex]Horizontally compressed by [tex]\frac{\pi}{5}[/tex]Right shifted by [tex]\pi[/tex]Solve the following inequality 10>2x+5
Answer: 2.5 is greater than x
Step-by-step explanation:
A cereal box is 9 1/2 inches long, 2 1/2 inches wide, and 12 inches high. What is the volume of the box?
Answer:
(19/2)inches × (5/2) inches × 12inches
9.5×2.5×12=285
Which expression is equivalent to: 4x - 2 + 6x
a- 10x - 2
b- 2x - 2
C- - 2x - 2
d- 24x - 2
Answer:
a. 10x - 2
Step-by-step explanation:
4x - 2 +6x ( collect like terms )
4x +6x - 2
10x - 2
Use point-slope form to write the equation of the line with a slope of 5/2 that goes through the point (-3,-6).
Answer:
4, (2,-4)
m= 5,(1,)
3,( 2,9)
Answer:
[tex]y+6=\frac{5}{2} (x+3)[/tex]
Step-by-step explanation:
point-slope formula: [tex]y-y_1=m(x-x_1)[/tex]
where m = slope and the point would be [tex](x_1,y_1)[/tex]
point-slope form: [tex]y+6=\frac{5}{2}(x+3)[/tex]
If you want to learn more about point-slope form,
Go to: https://www.albert.io/blog/point-slope-form/#What_is_point_slope_form
Review questions
6. What is slope and y intercept of the line shown in the graph? Write the equation for the line. (3 pts)
Slope,
y-intercept:
Equation:
Answer:
slope: -3/4 y-intercept: 3 equation: y=(-3/4)x+3
Find the maximum and minimum values of the function. y=1/2sin2x
Answer:
(-1/2,1/2)
Step-by-step explanation:
Normally for sinx amplitude is 2 (1 +1). In the case when it is half sine amplitude is halved, therefore 0.5 +0.5 = 1 Paramers alpha = 2x does not matter because it only stretches the graph horizontally.
hope it helped