The next four consecutive even numbers would be A+8, B+8, C+8, & D+8. Consequently their sum would be 180+4*8 = 212.
help me pls
Question 4 Part B (2 points): In part A you factored f(x) = 9m2 + 3m - 2. What are the x intercepts of this function? SELECT ALL THAT APPLY.
A.
m = -1/3
B.
m = 1/3
C.
m = -2/3
D.
m = 2/3
E.
m = 3
F.
m = -3
G.
m = 6
H.
m = -6
x intercepts means the roots of the function .Let's find out
[tex]\\ \rm\Rrightarrow 9m^2+3m-2=0[/tex]
[tex]\\ \rm\Rrightarrow 9m^2-3m+6m-2=0[/tex]
[tex]\\ \rm\Rrightarrow 3m(3m-1)-2(3m-1)=0[/tex]
[tex]\\ \rm\Rrightarrow (3m-2)(3m-1)=0[/tex]
m=2/3m=1/3The x-intercepts are -(2/3) and (1/3).
The correct options are (B) and (C)
What is a Quadratic Equation?An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax² + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term. The fact that the coefficient of x² is a non-zero term (a 0) is a necessary need for an equation to be a quadratic equation.
As per the given data:
f(x) = 9m² + 3m - 2
To find the x-intercept of this function:
The roots of f(x) will be the x-intercepts of the given function.
f(x) = 9m² + 3m - 2
9m² + 3m - 2 = 0
9m² - 3m + 6m - 2 = 0
3m(3m - 1) + 2(3m - 1) = 0
(3m + 2)(3m - 1) = 0
The roots are m = -(2/3) and m = (1/3)
Hence, the x-intercepts are -(2/3) and (1/3).
The correct options are (B) and (C)
To learn more on quadratic equation, click:
brainly.com/question/30098550
#SPJ3
20 points!! pls help
The radii of two similar cones are 1.0 and 2.5. What is the ratio of
-their lateral areas?
-their volumes?
Answer:
Assuming the cones are the same height, then
V1 = pi * r^2 * h/3 = 3.14159*1^2*h/3
V2 = 3.14159*2.5^2*h/3 = 3.14159*6.25*h/3
V1/V2=(3.14159*h/3)/(3.14159*6.25)*h/3
V1/V2 = 1/6.25 = .16
V2/V1=(3.14159*6.25)*h/3/(3.14159*h/3)
V2/V1=6.25/1 = 6.25
The graph of y= ax^2 + c contains the point (2,14). Which point lies on the graph of y=a(x-2)^2 + c?
Answer:
(4, 14)
Step-by-step explanation:
We are given;
Graph of: y = ax² + c
That it contains point (2, 14)
Now,we want to find which point lies on the graph: y = a(x - 2)² + c.
Now, symbol "a" means the value of horizontal shift because the constants are grouped with x.
If the value of "a" is greater than 0,then it means that the graph shifted to the left by "a" units while if the value of "a" is less than 0,it means the graph shifted to the right by "a" units.
Now, from the 2 graph equations given, and from the principle of graph shifts, we can say that the first graph has shift by 2 units to the right because "a" equals -2.
What this implies is that every point on the graph y = ax² + c shifts by 2 units right.
Thus, the points that lie on the graph y = a(x - 2)² + c are: (x + 2, y)
Thus, points are: (2 + 2, 14) = (4, 14)
5. Which graph represents a function?
Answer:
bottom left, the one that looks like a v
Step-by-step explanation:
You can test if something is a function by looking to see if there is a place where an x has 2 ys. if there are 2 ys for an x it is not a function.
Answer:
bottom left
Step-by-step explanation:
Bottom right is not a function because you would get an infinite number of results. It does not exactly map one output of this function.
The top two graphs are incorrect because they have more than 1 output. You can do the Vertical Line test and see that the top two graphs do have more that one output.
In order for it to be a function it has to have one output.
Select the correct answer. The supply and demand curves for a line of purses are shown. Approximately where is the equilibrium point? у. 500 supply 400 +300 Quantity (purses) -200 100 demand 100 200 300 400 500 600 700 800 900 1,000 Price (dollars) O A. (50,320) B. (200,105) C. (325,185) D. (560,360)
Answer:
c
Step-by-step explanation:
Which words have vertical symmetry for all of the letters in the word? Check all that apply.
MOM
DIZZY
НІТ
SEAT
WAXY
Answer:
MOM
HIT
WAXY
I just did this on edge
Answer:
1 3 6
Step-by-step explanation:
Question 1 Solve 18>12+x. Graph the solution. The solution is .
Answer:
6 greater than x
Step-by-step explanation:
I did the math on paper
Sergio found 4 pennies on the ground his sister said that she found 2times as many pennies Sergio figured out that his sister found 6 pennies .what did Sergio do wrong
Answer:
Sergio found 4 pennies on the ground and her sister said that she found twice as many as him
When his sister said that she found twice as many, sergio added 2 to his number of pennies instead of multiplying by 2
That's where Sergio made a mistake and got the answer wrong
H lo help math math math please ASAP
Answer:
5x & -1
Step-by-step explanation:
2x+3=5x
-x = -1x
maybe...
The dimensions of this figure are changed so that the new surface area is exactly 12 what it was originally.
What is the new surface area?
Enter your answer as a decimal in the box.
yd²
Complex solid composed of rectangular prisms in an L shape. The height of the taller side of the L shape is labeled 8.4 yd. The height of the shorter side of the L shape is labeled 3.8 yd. The width of the of the shorter section of the L shape is labeled 4.3 yd. The length of the taller section of the L shape is labeled 10.1 yd and the width is labeled 2 yd.
The surface of the figure is the amount of space on the figure
The new surface area would be half of the original figure
How to determine the surface area?The question is incomplete, so I will give a general explanation.
Assume the surface area of the original figure is A.
Then the area of the new figure would be:
A2 = A * k
Where k is the scale of dilation.
From the question, we have:
k = 1/2
So, the equation becomes
A2 = A * 1/2
This gives
A2 = 1/2A
The above means that the new surface area would be half of the original figure
Read more about surface areas at:
https://brainly.com/question/6613758
Answer:
The answer is 181.61
Step-by-step explanation:
I took the k-12 quiz - Hope this helps!
a cyclist travels at 10 km/h for 3.5 hours. Calculate the distance traveled by the cyclist
d=vt
d=10 km/h x 3.5 h
d = 35 km
write the decimals in two forms 5.5
Answer: 55% and 11 over 2
Step-by-step explanation:
55 is the percent form and 11 over 2 is a fraction form
btw your in collage and you van’t figure that out?
PLEASE HELP! ASAP!
Find the hypotenuse (X) of the right triangle.
ROUND THE ANSWER TO THE NEAREST HUNDRED.
help. I cant seem to figure this out.I'll give brainliiest.
Supposed i recieved $10 dollars rom my grandmother for my birthday. And I spent $4 on snacks. using addition how would I write an equation to represent this situation?
. Suppose you received $ from your grandmother for your birthday. You spent $ on snacks. Using
addition, how would you write an equation to represent this situation?
+ (−) =
b. How would you model your equation on a number line to show your answer?
Real-world situations can be modeled with equations and represented on a real number line. In this exercise, positive
ten represents the $10 given as a birthday gift because it is a gain. Negative four represents the $4 spent on snacks
because it is a loss. Gaining $10 and then taking away $4 leaves you with $6.
How can I fing the volume of a fish tank?
Answer:
You can measure from the inside of the tank or measure the outside and subtract the width of the tank walls to find the inside measurement. Next multiply the length width and depth measurements to find the cubic volume in cubic inches
Step-by-step explanation:
I spent 3/4 of my money and then I spent 1/5 of what was left. What part of all my money did I spend? (10 points)
Answer: 80% or 4/5
Step-by-step explanation:
Look at this as a percentage:
3/4=75%
1/5=20%
Lets say you have 100$
75% of $100 leaves you with $25
20% of the remaining $25 gives you $20
$100-$20=80% or 4/5
Four friends
shared a pizza. The table
below shows how much pizza each
friend ate. Which two friends ate the
same amount of pizza? Amount of pizza
Felix 1/12
Lucy 1/4
Ned 1/3
Penny 4/12
Answer:
Ned and Penny
Step-by-step explanation:
Ned: [tex]\frac{1}{3}[/tex]
Penny: [tex]\frac{4}{12}[/tex] --> simplying it makes it [tex]\frac{1}{3}[/tex]
Hence, Ned and Penny ate the same amount of pizza.
The friends who ate the same amount of pizza are Ned and Penny
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Four friends shared a pizza
Now , Felix 1/12
Lucy 1/4
Ned 1/3
Penny 4/12
So , the pizza shared by Penny = 4/12
On simplifying the equation , we get
P = 1/3
Hence , Penny and Ned shares the same amount of Pizza = 1/3
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
Solve the equation 1/2 - 1/6= 4/3x^2
Answer:
x=2
Step-by-step explanation:
1/2‒1/6=4/3x^2
3/6‒1/6=4/3x^2
2/6=4/3x^2
1/3=4/3x^2
1(3x^2)=4(3)
3x^2=12
x^2=4
x=√4
x=√2*2
x=2
A survey conducted by a research team was to investigate how the education level, tenure in current employment, and age are related to annual income. A sample of 20 employees is selected and the data are given below. Education (No. of years) Length of tenure in current employment (No. of years) Age (No. of years) Annual income ($) 17 8 40 124,000 12 12 41 30,000 20 9 44 193,000 14 4 42 88,000 12 1 19 27,000 14 9 28 43,000 12 8 43 96,000 18 10 37 110,000 16 12 36 88,000 11 7 39 36,000 16 14 36 81,000 12 4 22 38,000 16 17 45 140,000 13 7 42 11,000 11 6 18 21,000 20 4 40 151,000 19 7 35 124,000 16 12 38 48,000 12 2 19 26,000 10 6 44 124,000 a. Determine the estimated multiple linear regression equation that can be used to predict the annual income given number of years school completed (Education), length of tenure in current employment, and age.
Answer:
y = - 143481.1924 + 10011.9212x1 - 2193.8838x2 + 2689.2405x3
Step-by-step explanation:
Given the data below:
Education (No. of years) Length of tenure in current employment (No. of years) Age (No. of years) Annual income ($) 17 8 40 124,000 12 12 41 30,000 20 9 44 193,000 14 4 42 88,000 12 1 19 27,000 14 9 28 43,000 12 8 43 96,000 18 10 37 110,000 16 12 36 88,000 11 7 39 36,000 16 14 36 81,000 12 4 22 38,000 16 17 45 140,000 13 7 42 11,000 11 6 18 21,000 20 4 40 151,000 19 7 35 124,000 16 12 38 48,000 12 2 19 26,000 10 6 44 124,000
The estimated multiple linear regression equation that can be used to predict the annual income using number of years school completed (Education), length of tenure in current employment, and age using an online multiple regression calculator is :
y = - 143481.1924 + 10011.9212x1 - 2193.8838x2 + 2689.2405x3
According to the general form of a multiple linear regression model:
-143481.1924 = intercept(c) ; where regression line crosses the origin
10011.9212x1 - 2193.8838x2 + 2689.2405x3 are weight coefficients of the three predictor variables ; x1, x2, and x3
y = predicted variable
Where the regression line crosses the origin 10011.92x₁ – 2193.88x₂ + 2689.24x₃ are weight coefficients of the three predictor variables x₁, x₂, and x₃. Then y is the predicted variable.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more two variables.
A survey conducted by a research team was to investigate how the education level, tenure in current employment, and age are related to annual income.
A sample of 20 employees is selected.
The estimated multiple linear regression equation that can be used to predict the annual income using the number of years of school completed (Education), length of tenure in current employment, and age using an online multiple regression calculator will be
[tex]\rm y=-143481.19 + 10011.92x_1-2193.88x_2+2689.24x_3\\[/tex]
According to the general form of a multiple linear regression model will be
[tex]\rm -143481.19 = intercept (C)[/tex]
Where the regression line crosses the origin 10011.92x₁ – 2193.88x₂ + 2689.24x₃ are weight coefficients of the three predictor variables x₁, x₂, and x₃.
y = predicted variable.
More about the linear system link is given below.
https://brainly.com/question/20379472
Navid paid $50 for 10 cardio dance workout classes. He's trying
to set up an equation to help him find the cost of each class.
What should Navid put in the blank of the following equation?
c= $50 = ?
I need help
Answer: The answer is 5$
Step-by-step explanation:
50/10=5
Answer:
yes because 50 is 10 now and also yes
which of these expressions or phrases can be used to represent the model brainly choose all the correct answers. PLEASE HELP ASAP!\
Answer: 3 divided by 1/4 is the first and the second is number fourths un 3 :)
Step-by-step explanation:
3÷1/4 is the expression which can be used to represent the model
What is Fraction?A fraction represents a part of a whole.
An expression is combination of variables, numbers and operators.
In the given model there are twelve blocks.
The 12 blocks are divided to three parts.
Each part has 4 blocks.
This can be represented by the expression 3÷1/4
Three divided by one by four is the required expression.
Hence, 3÷1/4 is the expression which can be used to represent the model
To learn more on Fractions click:
https://brainly.com/question/10354322
#SPJ3
Lines M and N are parallel. Name the relationship between ∠a and ∠b.
Answer: A
Step-by-step explanation:
Helllllllllllllllllllllllllllllppppppp
Answer:
D
Step-by-step explanation:
Rotates 90 Degrees counter-clockwise then translates 3 left and 3 down.
Answer:
D
Step-by-step explanation:
Rotates 90 degrees in a counter clockwise motion, then it translates three to the left and then three down.
A bag contains 120 marbles some are red and the rest are black there are 19 red marbles for every black marble how many red marbles are in the bag
Answer:
6 black marbles
Step-by-step explanation:
19+1=20
120/20=6
6×19=114
120-114=6
Odds of an event occurring given probability 1/5
Answer:
1/4
Step-by-step explanation:
Probability = successes / all events
Odds = successes / failures
If the probability is 1/5, then there's 1 success for every 4 failures.
So the odds are 1/4.
1/2 ÷ 1/3 simplest form?
Answer:
3/2 or 1.5
Step-by-step explanation:
HELPPP 60 pts!
Kareem rented a truck for one day. There was a base fee of $19.99 , and there was an additional charge of 83 cents for each mile driven. Kareem had to pay $135.36 when he returned the truck. For how many miles did he drive the truck?
139 miles
explanation:
$1 → 100 cents
Here the base fee is fixed.
make equation:
$19.99 + 0.83m ↣ $135.36
0.83m ↣ $135.36 - $19.99
0.83m ↣ $115.37
m ↣ 139
Therefore she has ridden 139 miles.
What is the surface area of this figure?
Enter your answer in the box.
ft²
Complex solid composed of a triangular prism and a rectangular prism. The triangular prism is centered on the top of the rectangular prism. The rectangular prism bottom face is labeled 19 ft and 9 ft. The height of the rectangular prism is labeled 11 ft. The triangular base has an altitude drawn and labeled 12 ft. The sides of the triangle are labeled 13 ft, 13 ft, and 10 ft. The height of the rectangular prism is 9 ft.
The surface area of this figure will be 991 square feet.
What is Surface Area?The area of a plane region or plane field refers to the area of a shape or planar substance, whereas surface area refers to the area of an open surface or the boundary of a multi-object.
A complex solid made out of triangular and rectangular prisms. The triangular prism is centred on the top of the rectangular prism.
The surface area of the shape is given as,
SA = 2(19 x 11 + 11 x 9) + 19 x 9 + 10x 9 + 13 x 12 + 13 x 12
SA= 2(209) + 171 + 90 + 156 + 156
SA = 418 + 171 + 90 + 312
SA = 991 ft²
Learn more about surface Area here:
brainly.com/question/27683633
#SPJ3
Denise learned to sing a total of 10 pieces over the course of 10 weeks of voice lessons. After a short break, she learned 27 new pieces over the span of 27 weeks. How many vocal pieces does Denise learn per week?
1 a week
Step-by-step explanation:
in 37 weeks she learned 37(10 in 10 weeks, snd 27 in 27 weeks) so 37:37=1