Answer:
B y = 3x^2 + 12x + 19
Step-by-step explanation:
y = 3(x + 2)^2 + 7
To expand the square of the binomial,
either recall that (a + b)^2 = a^2 + 2ab + b^2, or use FOIL.
y = 3(x^2 + 4x + 4) + 7
y = 3x^2 + 12x + 12 + 7
y = 3x^2 + 12x + 19
Answer: B y = 3x^2 + 12x + 19
Final answer:
After expanding and simplifying the given function, we find that the equivalent function is y = 3x^2 + 12x + 19, which corresponds to option B.
Explanation:
The task is to find the equivalent function to y = 3(x + 2)2 + 7. We'll start by expanding the square and then distributing the 3 across the resultant terms.
First, expand the square: (x + 2)2 = x2 + 4x + 4.
Next, distribute the 3: 3(x2 + 4x + 4) = 3x2 + 12x + 12.
Finally, add the 7 to complete the expansion: 3x2 + 12x + 12 + 7 = 3x2 + 12x + 19.
Therefore, the equivalent function is B y = 3x2 + 12x + 19.
What is the difference between qualitative and quantitative
Answer:
Step-by-step explanation:
There are two general types of data. Quantitative data is information about quantities; that is, information that can be measured and written down with numbers. Some examples of quantitative data are your height, your shoe size, and the length of your fingernails.
Which expression is equivalent to 3b-1?
5b+3-6-6-4
5b+3-2b-5
26-5+b-4
b+b-5-5b+4
Which statements are true about a triangular pyramid? Check all that apply. It has exactly two faces that are triangles. It has exactly three faces that are triangles. It has exactly four faces that are triangles. It has 4 vertices. It has 5 faces. It has 6 edges.
Answer:
It has exactly 4 faces that triangles.
Step-by-step explanation:
Answer:
it has exactly four faces
it has four vertices
has six edges'
Step-by-step explanation:
An object is launched straight into the air. The projectile motion of the object can be modeled using h(t) = 96t – 16t2, where t is the time since launch and h(t) is the height in feet of the projectile after time t in seconds. When will the object be 144 feet in the air? When will the object hit the ground?
Answer:
first one is 3 seconds second one is 6 seconds
Step-by-step explanation:
The object will hit the ground in 3 seconds.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given function is h(t)=96t-16t².
The object be 144 feet in the air.
144=96t-16t²
144=16(6t-t²)
t²-6t+9=0
By splitting middle term method, we get
t²-3t-3t+9=0
t(t-3)-3(t-3)=0
t-3=0
t=3
Therefore, the object will hit the ground in 3 seconds.
To learn more about the function visit:
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Mary earns $5 per hour as a waitress. Last week she took home her regular earnings of $5 per hour plus $182 in tips for a total of
$302. How many hours did Mary work last week?
O A. 22
B. 26
C. 24
.D.
29
2x(-2x-3)
I’d like some help on this
Answer:
the answer is 12
Step-by-step explanation:
2 x ( − 2 x ) + 2 x ⋅ − 3
Simplify the expression.
− 4 x 2 − 6 x
Answer:
X^2-6x
Step-by-step explanation:
2x times -2x is 0 which is x^2
2x times -3 is -6x
The function f(x) is given by the set of order pairs.
{(1,0) (-10,2), (0,6) (3,17),(-2,-1)}
Which equation is true?
f(-10) = 1
f(2) = -10
f(0) = 6
f(1) = - 10
Answer:
option a)
Step-by-step explanation:
mark my answer thank you!
Answer:
The correct answer is f(-10)=1
I hope I helped!! :)
What are the values of m and e in the diagram below?
What is the height of the trapezoid ? A) 3units B) 5units C) 10units D) 12units
Help pls?
Answer:
b) 5
Step-by-step explanation:
6+10=16
40 times 2 = 80
80 div by 15 = 5
Answer:
The answer is 5units
Step-by-step explanation:
Because it is
What is mean of data round to nearest tenth
Answer:
C) 5.8
Step-by-step explanation:
75/13 = 5.7692
rounded = 5.8
Hope this helps!
1. The students in Mr. Anderson's
math class earned these scores on
a test: 96, 49, 72, 89, 76, 82, 89.
Find the mean score.
Answer:
maybe you can mulitply sorry if im wrong im also struggling :(
I don’t know how to solve this please help I’ll give you 60 points
Answer:
x=58
FDE=61
Step-by-step explanation:
Since FDA and ADC are supplementary angles, their angle measures add up to 180 degrees. You can therefore write down the following equation:
2x+3+x+3=180
3x=174
x=58 degrees
FDE=ADC= x+3=61 degrees. Hope this helps!
If AP = 18, then find KP.
Answer:
6
Step-by-step explanation:
18 ÷ 3 = 6
The length of KP is 6 units.
What is Median?The line segment from a vertex to the middle of the other side is what is meant by a median. When the vertex is an angle in an equilateral triangle or the non-congruent angle of an isosceles triangle, it is also an angle bisector.
Given:
From the figure CP = PB then AP is a median.
AP= 18 units
Now, the line QB divides the line AP in ratio 2:1.
So, KP = AP /3
KP = 18/3
KP = 6 units
Learn more about Median here:
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What is the sum of infinity sigma n = 1 2 (1.5)^n-1
Answer:
S= 5/2
Step-by-step explanation:
Answer:
ITS D YALL JUST TOOK THE TEST 2021
Step-by-step explanation:
f(x) = -7x2 + 8x + 2
What is the value of the discriminant of f?
How many x-intercepts does the graph of f have?
Answer:
120
2 real intercepts
Step-by-step explanation:
f(x) = -7x^2 + 8x + 2
The discriminant is
b^2 -4ac
where ax^2 +bx+c
a=-7 b =8 c=2
The discriminant is
8^2 - 4(-7) (2)
64 +56
120
This will have 2 real x intercepts because 120>0
Answer:
120 ; Two
Step-by-step explanation:
-7x2 + 8x + 2
B² - 4AC
8² - 4(-7)(2)
64 - (-56)
120
Since 120 > 0, the graph will have two distinct x-intercepts
The product of 21 and a number u is at most 126
Answer:
21u is less than or equal too 126
Step-by-step explanation:
Final answer:
The inequality 21u ≤ 126 is solved by dividing both sides by 21, resulting in u ≤ 6.
Explanation:
The product of 21 and a number u is at most 126 can be expressed as an inequality: 21u ≤ 126. To solve for u, we divide both sides of the inequality by 21, the coefficient of u. Doing so, we find that u ≤ 6. Therefore, the number u can be any number less than or equal to 6 so that the product of 21 and u does not exceed 126.
Which expression has a value closest to 1 ? (Use 3.14 as the value of pi.)
A. 7pi/square root of 10
B. square root of 75 - square root of 74
C. square root of 37 - square root of 26
D . 3 and the square root of 5 - square root of 20/ square root of 2
Right answers only
Answer:
C
Step-by-step explanation:
Answer:
the answer is C
Step-by-step explanation:
Marion and her sister Elaine are saving up to buy a DSLR camera. Marion has saved up $ 299.99 in her account. Elaine sets aside her weekly allowance over a five week period to buy the camera that costs $699.99. Calculate Elaine’s weekly allowance.
Answer:
$80.00
Step-by-step explanation:
If you round up the values, you should evaluate to the following:
Marion/Elaine have $300.00
Marion/Elaine need $700.00
Subtract them from each other and that equals $400.00 dollars that they need.
Since it is a 5 week period this is over, you can divide 400 by 5, what do you get? $80.00
Marina wants to install security cameras in her store, which has dimensions 48 feet by 48 feet. Each camera can view an area of approximately 128 ft2, with a viewing area shaped like a right triangle. The distance between grid lines is 4 feet. The viewing area of a camera is shown on a grid. The grid is 48 feet by 48 feet, with each square having side lengths of 4 feet. The camera has a triangular viewing area of 128 feet squared. The right triangle has 2 side lengths of 16 feet. How many cameras will be necessary to cover the entire store? 6, 9, 12, 18
She would need 18 cameras
Answer:
18
Step-by-step explanation:
PLEASE HELP
a company designs a new logo to be painted on a wall in the lobby of its office building. the dimensions are shown below what is the area of the logo.
The answer is 15 square ft
Answer:
15 square feet
Step-by-step explanation:
A ramp with a one-meter distance from edge to edge reaches a height of 0.643 meters. What is the value of the acute angle?
a. 300
C. 600
b. 400
d. none of the above
Answer:
The value of the acute angle is 40°Step-by-step explanation:
Given a ramp with a one-meter distance from edge to edge and reaches a height of 0.643 meters, the equivalent set up will form a right angled triangle where the length of the ramp will be the hypotenuse of the triangle and its height will be the opposite side of the triangle facing the acute angle directly.
To get the value of the acute angle, we will use the trigonometry ratio known as SOH, CAH, TOA.
Given length of ramp = hypotenuse = 1m
Height =Opposite side = 0.643m
Using SOH;
sin[tex]\theta\\[/tex] = [tex]\frac{opp}{hyp}[/tex]
sin[tex]\theta[/tex] = 0.643/1
sin[tex]\theta[/tex] = 0.643
[tex]\theta[/tex] =sin⁻¹0.643
[tex]\theta[/tex] = 40°
The value of the acute angle is 40°
The set of points in a plane that are equidistant from a given point from a ————
Answer:
The set of points in a plane that are equidistant from a given point create a circle.
Hope this helps!
:)
Hanah's necklace is 10 1/5 inches long.Erin's necklace is 2 2/3 times as long. About how long erin's necklace
Answer:
I think it's 2.7 but I'm not sure
What term should be added to y2-14y to make it a perfect square
trinomial?
Answer:
49
Step-by-step explanation:
Given the monomial y²-14y, in order to make the binomial a perfect square, we need to add a constant to the function using completing the square method.
To get the constant, we will multiply the coefficient of y by 1/2 and then square the resulting value.
- The coefficient of y is -14.
multiplying the coefficient of y by 1/2 will give -14/2 = -7
- squaring -7 will result in (-7)²
= 49
The constant that will be added to the binomial to make it a perfect square trinomial is 49
please help me with this question. "line segment AB is drawb on the grid with endpoints A(0,8) and B(6,0). Using only a straightedge and the grid itself divide AB into 4 congruent segments. Explain how you did this and why it works" please explain too
Answer:
10/4
Step-by-step explanation:
We can use the pythagorem theorem to solve for what is AB
6^2+8^2= c^2
36+64= c^2
100=c^2
c= 10= AB
Since we know that AB is 10 then we can divide it by 4
10/4
In right triangle abc shown below what is the degree measure /_C
Solve S= 2ab + 2bc + 2ac for b.
A) s-4a/c
B) s/2(a+c)
C) s/a+b+c
D) s-2ac/2a+2c
Answer:
D) s-2ac/2a+2c
Step-by-step explanation:
[tex]s = 2ab + 2bc + 2ac \\ s - 2ac = b(2a + 2c) \\ \huge \red{ \boxed{ b = \frac{s - 2ac}{2a + 2c} }}[/tex]
Directions: Simplify each expression by combining like terms
1.) -y+9z-16y-25z
2.) 6x +3y-y+2+2
3.) 9b + 5(b - 4) + 15
4.) -4(3x + 5) + 10x + 1
5.) 0.5(y + 4) + 18y - 9
6.) -0.7r+9(-r-15)
Answers:
1.) -y+9z-16y-25z = -17y-16z
2.) 6x +3y-y+2+2 = 6x+2y+4
3.) 9b + 5(b - 4) + 15 = 14b-5
4.) -4(3x + 5) + 10x + 1 = -2x-19
5.) 0.5(y + 4) + 18y - 9 = 18.5y-7
6.) -0.7r+9(-r-15) = -9.7r-135
onsider the graph of the line of best fit, y = 0.5x + 1, and the given data points. A graph shows the horizontal axis numbered negative 4 to positive 4 and the vertical axis numbered negative 4 to positive 4. Points show an upward trend. Which is the residual value when x = 2? –2 –1 1 2
Answer:
x = 2
Step-by-step explanation:
The residual value represents the vertical distance between an actual data point and the predicted value on the line of best fit. To find the residual value when x = 2, we need to substitute x = 2 into the equation of the line of best fit and calculate the corresponding y-value.
The equation of the line of best fit is y = 0.5x + 1.
Substituting x = 2 into the equation, we get:
y = 0.5(2) + 1
y = 1 + 1
y = 2
So, when x = 2, the predicted y-value on the line of best fit is 2.
To find the residual value, we need to compare this predicted value with the actual data point. However, the given data points are not provided in the question, so we cannot calculate the exact residual value.
Therefore, without the actual data points, we cannot determine the specific residual value when x = 2.
Final answer:
To determine the residual value for x = 2, we need the actual y value from the data points. The residual is the difference between this actual y value and the predicted value from the line y = 0.5x + 1. Without the actual y value, the residual cannot be calculated.
Explanation:
The subject of this question is residual value in the context of linear regression, which is a part of high school Mathematics. The residual is the difference between the actual y value of a data point and the y value predicted by the line of best fit. When x = 2, we first calculate the predicted value using the equation y = 0.5x + 1, which gives us y = 2. To find the residual value, we need the actual y value from the given data points. If there is no actual y value given specifically for x = 2, we cannot calculate the residual value. Without that actual data point, we cannot compare it to the predicted value of 2. Please provide the actual y value for x = 2 to determine the residual.
What is the answer to the file attached
Answer:
(2x)^4 - (3y)4
Step-by-step explanation:
using this identity a^2 - b^2 = (a + b )(a - b)
=(4x^2)^2 - (9y^2)^2
=(2x)^4 - (3y)4