9514 1404 393
Answer:
f(g(x)) = 50x² +140x +93
Step-by-step explanation:
Put the function argument in place of x and simplify.
f(g(x)) = f(5x+7) = 2(5x+7)² -5
= 2(25x² +70x +49) -5
f(g(x)) = 50x² +140x +93
_____
We took advantage of the knowledge that ...
(a + b)² = a² +2ab +b² . . . . . where a=5x and b=7
x + y > -3
how do I find the ordered pair and a solution to this inequality
Answer:
x>-3-y
Step-by-step explanation:
subtract y from both sides
What is 36.6 – 24 x 2² ÷ 3
Answer:
36.6 - 24 × 4 ÷ 3 =
= 36.6 -96 ÷3 =
= 36.6 - 32 =
= 4.6
100 points! Will mark brainliest! Only answer if u know it!
Answer:
y = - 2x - 10
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{2}[/tex] x - 8 ← is in slope- intercept form
with slope m = [tex]\frac{1}{2}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{2} }[/tex] = - 2, then
y = - 2x + c ← is the partial equation
To find c substitute (- 3, - 4) into the partial equation
- 4 = 6 + c ⇒ c = - 4 - 6 = - 10
y = - 2x - 10 ← equation of perpendicular line
Step-by-step explanation:
Hey there!
The 1st equation is;
y= 1/2 x-8.............(i)
Comparing the equation y= mx+c. We get;
Slope (m1) = 1/2
The equation of point which moves through point (-3,-4).
(y-y1) = m2 (x-x1). {Use one-point formula to find out the equation}
(y+4) = m2 (x+3)..………(ii)
Now, we need to find m2.
So, the condition of perpendicular lines: m1*m2= -1.
[tex] \frac{1}{2} \times m2 = - 1[/tex]
[tex]m2 = - 2[/tex]
Therefore, m2 = -2.
So, let's keep value of m2 in eqaution (ii).
y+4 = -2(X+3)
y+4 = -2x-6
y = -2x -10.
Therefore, the eqaution is y= -2x-10.
Hope it helps......
Which decimal is less than 0.47?
0.5, 0.64, 0.38, 0.9
Answer:
0.38
Step-by-step explanation:
I hope this helps you with your test :)
Answer:
0.38
Step-by-step explanation:
.38 is before .47
Jane babysits for $8 per hour. She earned $240 last week. This equation represents the number of hours, h, Jane babysat last week.
Answer: the equation would be 8h=240
h=30
Step-by-step explanation:
4. A rectangle with area 1,600 m2 is 4 times as long as it is wide. What is the sum of the diagonals?
We need to write out algebraic equations to describe the information we have, then solve them using substitution.
We will define length as a and width as b.
we know that a x b = 1600 cm3 (area = length x width)
and a=4b
So, we can substitute the vaule 4b for a in the first equation:
4b x b = 1600
we can simplify to 4b2 = 1600
divide both sides by 4:
b2 = 400
take the square root of each side:
b = √400
b=20
So we know the width = 20
length = 4 x width = 80
please answer this question i will give brainliest!
Answer:
b is the right answer bc all the others r wrong
Jose found 14 shells in the beach. He lost the same amount as he has left. Write the doubles addition fact Jose can use to find the number of shells Jose has left.
Answer:
7
Step-by-step explanation:
Number of shells found = 14
Number of shells lost equals number of shells left :
Let Number of shells lost = x
Using the relation:
Number of shells lost = Number of shells left
x =number of shells found - number of shells lost
x = 14 - x
x + x = 14
2x = 14
x = 14 / 2
x = 7
Number of shells left = 14 - x = 14 - 7 = 7
Jamie spent 1 ½ hours swimming in the pool on Monday. On Tuesday, she swam for 2 ¼ hours. How many hours did Jamie swim in all?
Answer:
3 3/4
Step-by-step explanation:
the area of a 12-cm- wide rectangle is 180cm. what is its length?
Answer:
multiply the legth times width
Step-by-step explanation:
I need help asap pls
Answer:
[tex]\displaystyle 36° = m∠NQS[/tex]
Step-by-step explanation:
Apply the Midsegment Theorem:
[tex]\displaystyle \frac{1}{2}[96 - 4x]° = [5x + 6]° → [48 - 2x]° = [5x + 6]° → -42 = -7x; 6 = x \\ \\ [48 - 2(6)]° = [48 - 12]° = 36° \\ \\ AND/OR \\ \\ [5(6) + 6]° = [30 + 6]° = 36°[/tex]
I am joyous to assist you at any time.
Ariel invests $3,000 in an account that pays him 5% interest, compounded annually. How much money will Ariel have in the account after 3 years if no withdrawals or additional deposits are made?
Answer:
5,120
Step-by-step explanation:
After 3 years, Ariel will have $3,472.88 in the account if no withdrawals or additional deposits are made.
How to calculate compound interest?The formula for compound interest is given:
[tex]A = P(1 +\dfrac{ r}{n})^{(nt)}[/tex]
Where:
A = the final amount,
P = the principal amount,
r = the annual interest rate (as a decimal),
n = the number of times the interest is compounded per year,
t = the number of years,
In this case, we have:
P = $3,000
r = 0.05
n = 1 (compounded annually)
t = 3
Plugging in these values, we get:
[tex]A = $3,000(1 + \dfrac{0.05}{1})^{(1\times 3)[/tex]
A = $3,000(1.05)^3
A = $3,000(1.157625)
A = $3,472.88
Therefore, after 3 years, Ariel will have $3,472.88 in the account if no withdrawals or additional deposits are made.
To know more about compound interest follow
https://brainly.com/question/28556904
#SPJ3
Dusty earns $5 for every 10 newspapers he delivers. Write and graph an equation which shows how much he earns for each delivered newspaper. How much would he earn if he delivered 320 papers?
What number is 115% of 106? (Show your work)
Answer:
121.9
Step-by-step explanation:
1% of 106 = 1.06
1.06 x 15 = 15.9
106 + 15.9 = 121.9
can someone help me and tell me how I got it wrong?
Answer:
You put i at the end.
Step-by-step explanation:
The correct answer is u^5 remove the i.
Identify the symmetry
What is the answer??
Answer:
Both 1 and 2!
Please help with the right answer 40 points
Answer:
if i remember is B
Step-by-step explanation:
11.
Ummm...how do you do this?
Provide a problem and I'll give you an answer...
What is the equation in slope-intercept form of the line that passes through the
point (2,-2) and is perpendicular to the line represented by y = x +2?
Answer:
[tex]y=-x[/tex]
Step-by-step explanation:
The slope-intercept form of a line can be written as [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope, [tex]b[/tex] is the y-intercept, and [tex](x,y)[/tex] are the coordinates of any point that this line passes through.
Perpendicular lines have negative-reciprocal slopes. Therefore a line perpendicular to [tex]y=x+2[/tex] will have a slope of [tex]-\frac{1}{1}=-1[/tex].
Now that we have a slope and coordinates of a point that the line passes through, we can solve for the y-intercept and the equation of the line:
[tex]-2=-1(2)+b, \\b=0[/tex]
Thus, the equation of this line is [tex]\fbox{$y=-x$}[/tex].
PLEASE HELP AND SHOW WORK
Answer:
14) x = 6 and y = 8
15) x = -1 and y = 1
16) x = 7 and y = 10
Step-by-step explanation:
14) From the given parallelogram, we can say that;
PT = TR and QT = QS due to the fact that the diagonals bisect each other into two equal parts.
Thus;
If PT = 2x, TR = y + 4, QT = x + 2, TS = y; then we have;
PT = TR
2x = y + 4
y = 2x - 4 - - - eq 1
Also;
QT = QS
x + 2 = y - - - eq 2
Put x + 2 for y in eq 1 to get:
x + 2 = 2x - 4
2x - x = 4 + 2
x = 6
Put 6 for x in eq 2 to get;
6 + 2 = y
y = 8
15) similarly from above;
x + 2 = y - - - eq 1
2x = y + 3
y = 2x + 3 - - - eq 2
Put 2x + 3 for y in eq 1;
x + 2 = 2x + 3
2x - x = 2 - 3
x = -1
Put -1 for x in eq 1 to gwt;
-1 + 2 = y
y = 1
16) similarly again;
y = x + 3 - - - (eq 1)
2y = 3x - 1 - - - (eq 2)
Put x + 3 for y in eq 2;
2(x + 3) = 3x - 1
2x + 6 = 3x - 1
3x - 2x = 6 + 1
x = 7
Put 7 for x in eq 1;
y = 7 + 3
y = 10
Thus, x = 7 and y = 10
Will give brainliest
Answer:
I hope someone can help you :)
Step-by-step explanation:
BTW I can't see the image its white for me :( Sorry
collect like terms 12m2,- a m, -4m2
Answer:
Step-by-step explanation:
( 3m + 2) (4m-3)
180° rotation
Pre rotation points
Answer:
whats the question???????????
Helpppppp meee please
Answer:
7.25 and 7.20
Step-by-step explanation:
I calculated and got it correct
Answer:
a) $14.45 b) 1.45x+1.2y
Step-by-step explanation:
5*1.45+6*1.2=14.45
Find the coordinates of the orthocenter of a triangle with the vertices (5,3), (8,6), (0,14) at each set of points on a coordinate plane?
Answer:
coordinates of the orthocenter = (8, 6)
Step-by-step explanation:
I have drawn a diagram showing this triangle with the vertices. I have also drawn altitude from B perpendicular to AC at point E.
I have also drawn altitude from from A perpendicular to BC at point D.
Now, we will find the slope of AC from the line slope equation; (y - y1) = m(x - x1)
m = (y - y1)/(x - x1)
Our coordinates are; A(5,3), B(8,6), C(0,14)
Thus;
Slope of AC; m = (14 - 3)/(0 - 5)
m = -11/5
Since BE is perpendicular to AC, slope of BE = -1/slope of AC = -1/(-11/5) = 5/11
Thus, equation of BE is;
(y - 6) = (5/11)(x - 8)
Multiply through by 11 to get;
11y - 66 = 5x - 40
11y - 5x = 66 - 40
11y - 5x = 26
Slope of BC is; m = (14 - 6)/(0 - 8) = 8/-6 = -1
AD is perpendicular to BC, thus slope of AD = -1/-1 = 1
Equation of AD is;
(y - 3) = 1(x - 5)
y - 3 = x - 5
y = x - 5 + 3
y = x - 2
Putting x - 2 for y in equation of BE, we have;
11(x - 2) - 5x = 26
11x - 22 - 5x = 26
6x - 22 = 26
6x = 26 + 22
6x = 48
x = 48/6
x = 8
Put 8 for x in equation AD, then y = 8 - 2 = 6
coordinates of the orthocenter = (8, 6)
Anthony downloaded 8 total items onto his phone. The games he purchased were $2.00 each and songs were $1.00. How many of each did he buy after spending $11.00?
Answer:
he downloaded 9 songs and 1 game
Step-by-step explanation (3x2= 6) (5x1= 5) (3+5= 8) $6.00 + $5.00 = $11.00
so add 3 items to the games that would be $6.00 so 5 items would remain put the rest of those items into the music that would be 5x1 =$5.00. So $6.00+$5.00= $11.00 so the answer is $11.00.
3p(p+5 ??????????????????????????????????//
Need a little help with this.
Answer:
a.) not like terms
b.) not like terms
c.) like terms ; 14 yards
Step-by-step explanation:
a new car is purchased for 17300 dollars. The value of the car depreciates at 9.25% per year what will the value of the car be, to the nearest cent, after 15 years?
please answer this question I would highly appreciate it if it was answered or looked on, please
Answer:
The correct answer would be C
Step-by-step explanation: