rewarding 20 points pls help.
Which ordered pair is a solution of y = x+4
A.(0,0)
B.(5,54)
C.(7,28)
D.(9,13)
f(x) = 5x^2 + 9x – 4
g(x) = – 8x^2 – 3x – 4
Find (f + g)(x).
Answer:
(f + g)(x) = – 3x^2 + 5x - 8
Step-by-step explanation:
(f + g)(x) = f(x) + g(x)
= 5x^2 + 9x – 4 + (– 8x^2 – 3x – 4)
= 5x^2 + 9x – 4 – 8x^2 – 3x – 4
Combine
= – 3x^2 + 5x - 8
The sum of the given functions is defined as the expression (f + g)(x) which is equal to -3x² + 6x – 8.
Use the concept of quadratic function defined as:
The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:
ax² + bx + c = 0
The given functions are:
f(x) = 5x² + 9x – 4
g(x) = – 8x² – 3x – 4
Since (f + g)(x) = f(x) + g(x)
Then put the functions,
(f + g)(x) = (5x² + 9x – 4) + ( – 8x² – 3x – 4)
Rearranging like terms,
(f + g)(x) = 5x²– 8x² + 9x – 3x – 4 – 4
Simplifying it,
(f + g)(x) = -3x² + 6x – 8
Hence,
The expression for (f + g)(x) is -3x² + 6x – 8.
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Solve the expression using absolute value.
|−16|+|−12|
Answer:
16 + 12 = 28
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
Hello!
Remember that any negative number inside of the absolute value brackets turns positive, and any positive number stays positive.
Simplify|-16| + |-12|16 + 1228
The simplified expression is 28.
which expression is equivalent to 7/12 - 2/12
Answer:
5/12
Step-by-step explanation:
7/12-2/12=5/12=0.416
Abeer sat a French test and a German test.
In the French test she scored 34 out of 50.
In the German test she scored 14 out of 20.
In which test did she do better?
You must show your working.
Answer:
German Test
Step-by-step explanation:
Find common denominator:
34/50=68/100
14/20=70/100
Therefore, Abeer did better on the German test as 14/20>34/50
Hurry and answer i need a real answer
Answer:
C
Step-by-step explanation:
Spinner B has 4/12ths of yellow and spinner a has 2/6ths. 2/6 is equivalent to 4/12ths
Answer:
C :>
Step-by-step explanation:
The sum of ten and the quotient of a number x and 6 please help !
Answer:
10 + x/6
Step-by-step explanation:
10 + x/6 represents this phrase
Tamara invested $15,000 in an account that pays 4% annual simple interest. Tamara will not
make any additional deposits or withdrawals. How much Interest will Tamara earn on her
Investment at the end of 3 years?
F $1,800
G $600
H $450
J $1.873
Answer:
F $1800
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year,
then, solving our equation
I = 15000 × 0.04 × 3 = 1800
I = $ 1,800.00
The simple interest accumulated
on a principal of $ 15,000.00
at a rate of 4% per year
for 3 years is $ 1,800.00.
Answer:
F. $1800
Step-by-step explanation:
Simple interest means that a percent of the initial amount will be paid back each year, this amount will not change from year to year. To calculate the simple interest over a given unit of time, multiply the amount by the interest rate in decimal form, then multiply that value by the time span that this was taken over. The result will be the amount earned.
The following formula can be used to describe this scenario,
[tex]simple\ interest=(time)((amount)(interest\ rate))[/tex]
Substitute,
[tex]=(3)((15000)(4))[/tex]
To convert a percent to decimal form, divide the percent by (100)
[tex]=(3)((15000)(0.04))[/tex]
[tex]=(3)(600)\\\\=1800[/tex]
If u want to know what students think is the best season of the school year from school 76, what is the best way sample the students?
Answer:
B
Step-by-step explanation:
this will include all people and not just a specific group like all in a certain grade/s or all in the same class
Answer: break them up into parts
Step-by-step explanation:
Olivia will deposit $1,530 in an account that earns 6% simple interest every year. Her sister
Melinda will deposit $1,500 in an account that earns 8% interest compounded annually. The
deposits will be made on the same day, and no additional money will be deposited or
withdrawn from the accounts. Which statement about the balances of Olivia's account and
Melinda's account at the end of 3 years is true?
A Olivia's account will have about $5.40 more than Melinda's account.
B Olivia's account will have about $84.17 more than Melinda's account.
C Melinda's account will have about $5.40 more than Olivia's account.
D Melinda's account will have about $84.17 more than Olivia's account.
D. Melinda's account will have about $84.17 more than Olivia's account.
Answer:
Olivia 275.4 and Melinda 360
Step-by-step explanation:
Olivia 1,530 x .06 = 91.8
91.8 x 3 = 275.4
Melinda 1,500 x .08 = 120
120 x 3 = 360
plz mark brainleist
In Springfield, a specific town in the US, 6 women and 25 men earned bachelor degrees in 2000. In 2010, however, 391 women and 410 men in that town earned bachelor degrees. Assume that the rate of change was constant between 2000 and 2010.
a. Without using regression, write a system of equations that model the number of bachelor degrees earned by men and women in Springfield as a function of x, the number of years since 2000. Show your work.
Equation for Springfield’s men:
Equation for Springfield’s women:
Answer:
See belowStep-by-step explanation:
For women, the initial number is 6, constant rate of change is w, number of years is x.
Find the rate of change and work out the required formula:
10w + 6 = 391 ⇒ 10w = 385 ⇒ w = 38.5Formula:
W(x) = 38.5x + 6Similarly for men, we get:
10m + 25 = 410 ⇒ 10m = 385 ⇒ m = 38.5Formula:
M(x) = 38.5x + 25Answer:
Women = 44.5
Men = 63.5
Step-by-step explanation:
A carnival attraction tests your strength by how far in the air you can drive a weight with a hammer. If the weight reaches 15 feet, you win a prize. The equation h = -16t 2+ 31t + 2 gives the height, in feet, and time, in seconds of the weight after it is hit.
a. How long is the weight in the air?
b. What was the weight’s maximum height?
c. Did you win a prize? Why or why not?
Answer:
a. 2 secondsb. ~17 feetc. yesStep-by-step explanation:
Given function:
h(t) = -16t² + 31t + 2a.h(t) = 0 will give us the y-intercept of the graph. The greater value of t is the time the weight in the air
-16t² + 31t + 2 = 016t² - 31t - 2 = 0t = [31 + √(31²+4*16*2)]/32t = (31 + 33)/32t = 2 secondsb.Maximum height is reached at vertex.
The x coordinate of the vertex is determined as x = -b/(2a), considering the standard form of a quadratic function f(x) = ax² + bx + c
t = -31/(-16*2) = 31/32 = 0.96875h(0.96875) = -16(0.96875)² + 31*0.96875 + 2 = 17.015625 ftc.You win the prize as the maximum height is greater than 15 feetUse the graph to write a linear function that relates y to x
y=
1 plus 1 please help!!1!!!1
Answer:
1 plus 1 equals window........
Answer:
I think the answer is orange
Step-by-step explanation:
#Eleventeen
Can anyone explain this question to me? My teacher solved it but I didn’t understand how she did it
Step-by-step explanation:
To find the space a figure takes, we need to find the volume. Volume of a rectangular prism can be found by multiplying the length, width, and height of the figure.
We can start with the green block. The dimensions of this figure are 6cm, 3cm, and 3cm. The 5cm at the bottom is not a dimension of the green figure. Instead, it shows the total width of both blocks. We will use this later.
Back to the first block, we will find its volume by multiplying its dimensions together.
3 · 3 · 6 = 54
So, the volume of the first block is 54 cm³.
To this, we will add the volume of the blue block. We can find its dimensions with some simple deduction.
The picture shows that the height of the figure is 4cm less than the height of the green one, 6cm.
6 - 4 = 2
The height, then, is 2cm.
The width can be found by subtracting the width of the green block from the total width of both figures, 5cm.
5 - 3 = 2
So, the width is also 2cm.
We can see that the length of the blue block is equal to that of the green one, so we know that the length is 3cm.
Now, multiply all the dimensions we have found together.
2 · 2 · 3 = 12
The volume of the blue block is 12cm³.
We have found the volumes of both figures, so now we can add them both together to find the total.
54 + 12 = 66
So, the total volume is 66cm³.
I hope this was a satisfactory explanation ^^ Good luck, mate
What is the value of the function f(x)= 1/4 x-3 when x=12
Answer:
0
Step-by-step explanation:
f(x)=1/4x-3
f(12)=(1/4 times 12) -3
f(12)=(3)-3
0
Evaluate the expression when d= 75
2d + –45d = 0
Answer:
- 3225
Step-by-step explanation:
d = 75
2d + ( - 45 d )
= 2 ( 75 ) - 45 ( 75 )
= 150 - 3375
= - 3225
y = x + 45
What is the y-intercept of the relationship?
A. 45
B. x + 45
C. x
D. y - 45
Answer:
A. 45
Step-by-step explanation:
Answer: A. 45
Step-by-step explanation:
In the y=mX+b formula the number by itself with no variable or b is the y-intercept.
Anyone know the answer to this question?
help please
........
9514 1404 393
Answer:
noyesStep-by-step explanation:
Put the values of x and y in the equation and see if it is true.
1. 2 = 2×0 . . . . False (not a solution)
2. 12 = 6×2 . . . True (is a solution)
Find ? (inscribed angle)
9514 1404 393
Answer:
107°
Step-by-step explanation:
Opposite angles of an inscribed quadrilateral are supplementary.
X = 180° -Q
X = 180° -73° = 107°
2mn – 5z + 7
PLEASE HELP!!
Answer:
it's already simplified
what do you want me to do? tell me what kind of equation it is?
it's a linear trinomial
Step-by-step explanation:
Find the center and the radius of the circle with the equation:
x^2 - 2x + y^2 + 4y + 1 = 0
Answer:
center: (1, -2)
radius: 2
Help me PLEASEEE NO LINKS AND PLEASE DO NOT ANSWER FOR POINTS YOU WILL BE REPORTED IF YOU DO AND THANK YOU TO THOSE WHO ARE GOING TO HELP ME
Answer:
160 the total area
Step-by-step explanation:
10×10=100=area of square
5×12=60=area of triangle
Which of the following graphs is the graph of a linear function?
Answer:
C
Step-by-step explanation:
A and B are not straight lines, so they are not linear functions.
C and D are straight lines, so they are linear. However, D fails the vertical line test, so it is not a function.
C and D are straight lines, they are linear. Then the linear graphs are represented by options C and D.
What is a graph?
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
A linear equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
A and B are not straight lines, they are not linear functions. Therefore,
C and D are straight lines, they are linear. Then the linear graphs are represented by options C and D.
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witch function defines (g . f)(x)
f(x)=log(5x)
g(x)=5x+4
a.) (g . f) (x)=5x log(5x) + 4log(5x)
b.) (g . f) (x)=5x log(5x)+ 4
c.) (g . f) (x)=5x + 4 +log(5x)
d.) (g . f) (x)=5x - 4 - log(5x)
Answer:its A
Step-by-step explanation:
I ask my teacher so its A
Use the cumulative normal distribution table to find the z-scores thqt bound the middle of 68% of theje area under the stanrard normal curve
Answer:
Z scores between -0.995 and 0.995 bound the middle 68% of the area under the stanrard normal curve
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Middle 68%
Between the 50 - (68/2) = 16th percentile and the 50 + (68/2) = 84th percentile.
16th percentile:
X when Z has a pvalue of 0.16. So X when Z = -0.995
84th percentile:
X when Z has a pvalue of 0.84. So X when Z = 0.995.
Z scores between -0.995 and 0.995 bound the middle 68% of the area under the stanrard normal curve
The range of the numbers 34 32 12 65 and 45 is
Answer:
53
Step-by-step explanation:
Range is found by subtracting the largest number in a set by the smallest number.
Set: {12, 32, 34, 45, 65}
Largest number: 65
Smallest number: 12
65 - 12 = 53
hope this helps and is right :)
2t + t =68
a. find t
b. fint 2t
Answer:
t = 22[tex]\frac{2}{3}[/tex]
2t = 45[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
3t = 68
t = 68/3
A game show is offering a prize of 1 cent on the first day , 3 cents on the second day 9 cents on the third day , etc. What is the total amount of money earned from this prize in two weeks ?
Answer:
$15943.23
Step-by-step explanation:
each day the total of the day before is multiplied by 3 so if you do that for 14 days you will get the answer
Answer:
2,391,4.84 dollars
Step-by-step explanation:
1, 3 , 9...
on the 1st day, 3^0
on the 2nd day, 3^1
on the 3rd day, 3²
:
one the 14th day, 3^(14-1)
=> 3^13
=> 1,594,323
"Total about of money" => have to add up the money from the 1st day to the 14th day:
1 + 3 + 9 + 27 + 81 + 243 + 729 + 2187 + 6561 + 19683 + 59049 + 177147 + 531441 + 1594323 = 2,391,484