The answer is -13 and -15.
b) If f(2x - 3) = 4x + 5, then find f(x) and f(-2).
c) If f(x) = 7* then prove that
f(m + n + p) = f(m) . f(n) f(p)
pls solve at least 1 only if u know
f(2x-3)=4x+5
Let, 2x-3=g
x=(g+3)/2
So,f(2{g+3}/2 -3)=4(g+3)/2 + 5
f(g)=2g+11
So,f(x)=2x+11
f(-2)=7 ##
Answer:
f(2x - 3) = 4x + 5
f(2x-3)=2(2x-3)+11
f(x)=2x+11
f(-2)=2×-2+11=-4+11=7
PLEASE HELP SHDHSJS :D
Answer:
ok ask your self what is 4x20+4 done pss its 84...
Step-by-step explanation:
ok
Answer:
84x
Step-by-step explanation:
Equation:
X(4+20)
=24x
X(24+60)
=84x
The sum of three numbers is 212 .If the ratio of the first to the second is 13:16 and that of the second to the third is 2:3 then find the numbers.`
Given:
The sum of three numbers is 212 .
The ratio of the first to the second is 13:16 and that of the second to the third is 2:3.
To find:
The unknown numbers.
Solution:
We have,
First : Second = 13:16
Second: Third = 2:3
We need to combine these ratios, to get a single ratio for all three numbers.
Second: Third = 2×8:3×8 = 16:24
Now,
First: Second: Third = 13:16:24
Let the first, second and third numbers are 13x, 16x and 24x respectively.
[tex]13x+16x+24x=212[/tex]
[tex]53x=212[/tex]
[tex]x=\dfrac{212}{53}[/tex]
[tex]x=4[/tex]
So, the numbers are,
[tex]First=13x[/tex]
[tex]First=13(4)[/tex]
[tex]First=52[/tex]
Similarly,
[tex]Second=16x[/tex]
[tex]Second=16(4)[/tex]
[tex]Second=64[/tex]
And,
[tex]Third=24x[/tex]
[tex]Third=24(4)[/tex]
[tex]Third=96[/tex]
Therefore, the three unknown numbers are 52, 64, 96.
6th grade math help me pleaseee
Answer:
0
Step-by-step explanation:
7c =
7(0) = 0
hope you understand
Answer:
since the c is 0.. then substitute c as 0 in 7c...
hence the equation will be 7(0)...
equals to 7×0
the answer is 0
Which inequality matches the graph?
A) x < -1
B) x > -1
C) × = 1
D) x < -1
Answer:
D) x < -1
Step-by-step explanation:
The open circle means it is <
The hypotenuse of a right triangle measures 18 cm and one of its legs measures 16 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer: 8.25cm
Step-by-step explanation:
Use Pythagorean's Theorem for a right triangle:
[tex]a^2+b^2=c^2[/tex]
'A' and 'B' being the legs and 'C' being the hypotenuse.
[tex]16^2+b^2=18^2\\256+b^2=324\\b^2=68\\b=\sqrt{68}=8.25cm[/tex]
Based on the graph, what is the initial value of the linear relationship? (4 points)
6-
5-
2-
-5
3
2
3
4 5
-4
-3
Answer:
the answer is 5 hope this could help
1. What is the slope of the following Table?
х
у
0
1
1
3
2
5
3
7
The slope of the table is 2
What is slope?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
here, we have,
to determine the slope:
From the table, we have the following points:
(x,y) = (0, 4) and (1,7)
The slope is then calculated as:
m = (y2 - y1)/(x2 - x1)
Substitute known values
m = (7 - 4)/(1 - 0)
Evaluate the differences
m = 3/1
Divide
m = 2
Hence, the slope of the table is 2
Read more about slopes at:
brainly.com/question/3493733
#SPJ7
Find three consecutive even integers such that the product of the first and second is 8 more than 38 times the third.
Answer:
40, 42 and 44
Step-by-step explanation:
Mark these even consecutive integers as (2n-2), 2n and (2n+2)
Note that since they are integers, n > 0 and 2n is always even
Writing the equation
(2n-2) * 2n = 38 * (2n+2) + 8
// divide both sides by 2
(2n-2) * n = 19 * (2n+2) + 4
[tex]2n^{2}[/tex] - 2n = 38n + 38 + 4
[tex]2n^{2}[/tex] - 2n - 38n - 38 - 4 = 0
[tex]2n^{2}[/tex] - 40n - 42 = 0
// divide both sides by 2
[tex]n^{2}[/tex] - 20n - 21 = 0
// rewrite the equation
[tex]n^{2}[/tex] + n - 21n - 21 = 0
n * (n+1) - 21n - 21 = 0
n * (n+1) - 21 * (n+1) = 0
(n+1) * (n-21) = 0
// separate the two possible cases
n + 1 = 0 and n - 21 = 0
n = -1 n = 21
Note that here n has to be an integer, so case n = -1 can't be a solution. Therefore we use n = 21
Calculating the consecutive even integers
2n - 2 = 2 * 21 - 2 = 40
2n = 2 * 21 = 42
2n + 2 = 2 * 21 + 2 = 44
Solve the following system of linear equations using elimination.
−2x+7y=16
8x−6y=24
Answer:
mark brainlist please
Step-by-step explanation
-2x+7y=16 x=-8,0 y=0,16/7
8x-6y=24 y=(3,0) x=(0,-4)
What was the price of Caleb's groceries, before tax?
Answer:
Caleb bought groceries and paid \$1.60$1.60dollar sign, 1, point, 60 in sales tax. The sales tax rate is 2.5\%2.5%2, point, 5, percent. What was the price of Caleb's groceries, before tax
Step-by-step explanation:
This is all I know~
Hope it helps!
Good luck with your work!!~
If a coin is tossed 2 times, and then a standard six-sided die is rolled 2 times, and finally a group of two cards are drawn from a standard deck of 52 cards without replacement, how many different outcomes are possible?
Answer:
190,944 possibilities
Step-by-step explanation:
2 x 6 x 52 x 51
What is the vertex of the parabola to the below?
Answer:
(1,-3)
Step-by-step explanation:
Write an equation to represent the following statement. j is 25 more than 3 Solve for j
Answer:
j = 25+3
im pretty sure :)
Step-by-step explanation:
Answer:
j=25+3 which means j=28
Segment AB is being dilated with the center at the origin. The image of A, point A prime, has coordinates of (3.2, 6.4). What is the scale factor of the dilation and the coordinates of point B prime?
Step-by-step explanation:
The location of A is 3.2
The location of A' is 6.4
A represent pre image A' represent the new image.
The scale factor of A to A' is 2 since 3.2 x 2 =6.4
Since you didnt provide B coordinates, just multiply 2 by the B coordinate to find the B prime coordinate.
Answer: A.)The scale factor is 0.8 and the coordinates of point B prime are (–3.2, –4.8).
Step-by-step explanation: i hope this helps im sorry if this didnt help
last question please help me !!!! please :(
Answer:
Step-by-step explanation:
I think x=39°
Answer:
i dunno
Step-by-step explanation:
Elizabeth has $10, $5, and $1 bills worth $101. she has five more five dollar bills than ten dollar bills and 4 times more 1 dollar bills than 10 dollar bills. How many of each kind of bills does Elizabeth have?
Let x be number of $10 dollar bills
Let y be number of $5 dollar bills
Let z be number of $1 dollar bills
From the question, we can come up with three equations (so we can find the values of x, y & z) :
10x + 5y + z = 101 y - x = 5z = 4xThe first equation comes from finding the total money Elizabeth has, which is $101.
The second equation comes from value of y (number of $5 bills) is more than value of x (number of $10 bills) by 5 dollars.
The third equation comes from the value of z (number of $1 bills) being 4 times more than the value of x (number of $10 bills).
Now, we will begin to find the value of x, y & z.
From the first equation,
10x + 5y + z = 101
Substitute the third equation (z = 4x) into z:
10x + 5y + 4x = 101
Simplify this and you get,
14x + 5y = 101
Now, we use the second equation. The second equation is y - x = 5. If we try to make y as the subject, it becomes y = 5 + x.
Now, substitute this into the value of y of the last working we did:
14x + 5(5+x) = 101
Simplify that and it becomes:
x = 4
Then, substitute this value of x into the second and third equations to find y and z.
y - x = 5
y - 4 = 5
y = 9
z = 4x
z = 4(4)
z = 16
Finally, let's check these answers by substituting them into the first equation to try and see if the total value is really $101.
10x + 5y + z = 10(4) + 5(9) + 16
10x + 5y + z = 40 + 45 + 16
10x + 5y + z = 101
Thus, our answers are correct. Elizabeth has FOUR $10 bills, NINE $5 bills and SIXTEEN $1 bills.
Answer:
Thus, our answers are correct. Elizabeth has FOUR $10 bills, NINE $5 bills and SIXTEEN $1 bills.
Step-by-step explanation:
;)
Plz guyss helpp;(
The question is above
Answer:
40
Step-by-step explanation:
The frequency column gives the number of houses in the sample, then
number of houses = 5 + 11 + 23 + 1 = 40
Help with this please !!!!!!!!
8x+3y= 70; y=2 Solve for x.
Answer:
8
Step-by-step explanation:
x is 8
[tex]8x + 3y = 70[/tex]
with given condition where y = 2.
Therefore, substitute the value of y in the equation.
[tex]8x + 3(2) = 70 \\ 8x + 6 = 70[/tex]
Solve the equation for x-term.[tex]8x = 70 - 6 \\ 8x = 64 \\ x = \frac{64}{8} \longrightarrow \frac{8}{1} \\ x = 8[/tex]
Answer Check by substituting the value of y and x in the equation.[tex]8x + 3y = 70 \\ 8(8) + 3(2) = 70 \\ 64 + 6 = 70 \\ 70 = 70[/tex]
Hence, the equation is true for x = 8 and y = 2.
Answer[tex] \large{x = 8}[/tex]
Which equation has a slope of -2 and passes through the point (1, -6)?
A. y = -23 – 4
B. Y = -22 that
c. y = –2x – 8
D. Y = -2x + 8
Answer:
C. y= -2x-8 is the answer
Answer:
y = -2x - 4
Step-by-step explanation:
y = mx + b(we substitute the "x" and "y" points into this general formula)
-6 = -2 (1) + b ( multiply "-2" by "1" and obtain the answer itself "-2")
(+ 2) -6 = -2 + b (+ 2)( then we add "2" on both side so the right side will be left with only "b". and "-6 + 2 = -4")
-4 = b( we substitute this answer in the general formula we've written )
y= -2x -4
I need help im not sure how to do this
Answer:
59.5 feet
Step-by-step explanation:
Set up a proportion
Tree 1
17 feet tall
10 feet shadow
Tree 2
35 feet tall
x feet shadow
17/10= 35/x
(17)(35)= (10)(x)
595= 10x
/10 /10
59.5= x
The cast shadow of the second tree is 59.5 feet
Pls help I forgot how to solve this kind of problem
Answer:
72.1110255093 cm
Step-by-step explanation:
round it if you have to
Answer:
75 cm
Step-by-step explanation:
The diagonal d divides the rectangle into 2 right triangles with d as the hypotenuse.
Using the right triangle formed on the left and using Pythagoras' identity.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
d² = 45² + 60² = 2025 + 3600 = 5625 ( take square root of both sides )
d = 75
The diagonal is 75 cm
Roberto bought a new shirt that was 25% off. The original price was 60$. How much did he save?
Answer:
$15
Step-by-step explanation:
First you move the decimal in the percent 2 times to the left and get .25. And then you multiply that by 60 and get 15.
Have you noticed that the tip smells like saliva after playing the flute I like the smell of saliva at the end of the flute does anyone else like this smell like me and have you ever smelled saliva at the end after playing the flute
Answer:
no never have and never will sorry
Answer:
ewwww.
Step-by-step explanation:
PLS help!!! PLS help!!! PLS help!!!
Answer:
c. sin 8x + sin 2x
Step-by-step explanation:
1. Convert the product into sum or differences: 2 sin 5x cos 3x
Solution:
2 sin 5x cos 3x = sin (5x + 3x) + sin (5x -3x), [Since 2 sin A cos B = sin (A + B) + sin (A - B)]
= sin 8x + sin 2x
SOMEONE HELP THIS IS TIMED AND A GRADE?!?!?!?
Answer:
120 in^2
Step-by-step explanation:
The period of a pendulum is the time the pendulum takes to swing back and forth. The function L=0.81t^2 relates the length L in feet of a pendulum to the time t in seconds that it takes to swing back and forth. A convention center has a pendulum that is 50 feet long. Find the period.
Answer:
7.86seconds
Step-by-step explanation:
Given the expression used to model the length of the pendulum as
L=0.81t^2 where t is the period
IF the pendulum is 50 feet long, then L = 50 feet
Substitute
50 = 0.81t^2
t² = 50/0.81
t² = 61.7283
t = 7.86 seconds
Hence the period is 7.86seconds
7/9 x 5 2/5 what is the answer?
If ABCD is a parallelogram, find the measure of angle C
Answer:
47
Step-by-step explanation:
Angles B and D are equal.
Angles A and C are equal.
Anges in parallelogram add up to 360°
5x+38=8x-19
57=3x
x=19
B=(5×19)+38=133°
D=(8×19)-19=133°
A+C=360-133-133
A+C=94
A and C are the same so you can do 94/2=
Therefore, both angles A and C are 47 :D
The measure of angle c in the parallelogram is 47°.
What is a parallelogram?A parallelogram is a quadrilateral (has four sides and four angles) in which opposite sides are parallel and equal. Also, opposite angles are equal and the shape has equal diagonals.
∠B = ∠D (opposite angles are equal)
8x - 19 = 5x + 38
x = 19
∠B = 5(19) + 38 = 133°
∠C + ∠B = 180° (base angles of parallelogram_
∠C + 133 = 180
∠C = 47°
The measure of angle c in the parallelogram is 47°.
Find out more on parallelogram at: https://brainly.com/question/970600