If f(x)= (2x +5)and g(x) = (2x2−5x+3), find f(x) · g(x) (please help)
A. 4x3 − 31x + 154x3 − 31x + 15
B.4x3 − 20x2 +19x + 154x3 − 20x2 +19x + 15
C.4x3 − 19x + 154x3 − 19x + 15
D.4x3 + 20x2 − 19x +15
Answer: 4x³-19x+15
Step-by-step explanation:
We are given f(x) and g(x). Since we need to find f(x)·g(x), we multiply f(x) and g(x).
[tex](2x+5)(2x^2-5x+3)[/tex] [distribute by FOIL]
[tex]4x^3-10x^2+6x+10x^2-25x+15[/tex] [combine like terms]
[tex]4x^3-19x+15[/tex]
Now we know [tex]4x^3-19x+15[/tex] is the correct answer.
What is the equation to a line with a slope of -3 and a y-intercept of 8?
Answer:
y=-3x+8
Step-by-step explanation:
y=mx+b
(m=slope and b=y-intercept)
Answer:
Step-by-step explanation:
let’s use this equation y = mx + b
where m = slope
and b = y intercept
since slope is -3, m = -3
and since y intercept is 8, b = 8
so the equation is
y = -3x +8
Which ratio is equivalent to 5:9?
9:45
25:81
27:15
30:54
Answer:
The Answer is D 30:54
Step-by-step explanation:
5 times 6 is 30 and 6 times 9 is 54
Ten(10) adults and 3 children attend a local concert for $59. Four(4) adults and 3
children attend the same concert for $29. How much does it cost for each to attend?
Answer:
$5 per adult and $3 per kid
Step-by-step explanation:
5x10=50
3x3=9
50+9=59
4x5=20
3x3=9
20+9=29
transversals angles
what isvequivalent to y=23x−6?
Answer:
Slope = 46.000/2.000 = 23.000
x-intercept = 6/23 = 0.26087
y-intercept = -6/1 = -6.00000
The temperature dropped from 67 degrees to 34 degrees. What is the change in temperature?
Answer:
A 33 degree change
Step-by-step explanation:
67-34=33
Micah who is not yet 15 years old, is two years older than DeMonte.
How old is DeMonte?
x = the age of Micah
y = the age of DeMonte
Answer:
DeMonte is 12
Step-by-step explanation:
If Micah is not yet 15 than he is 14 so 14 - 2 is 12 since DeMonte is two years younger than Micah.
Considerando las siguientes variables a = ancho y l = longitud, determina su valor, si se sabe que se cuenta con un rectángulo que tiene como perímetro 35 metros, y se sabe que el doble de su ancho es igual a 3 veces su longitud.
Answer:
La longitud = 7 metros
La anchor = 10.5 metros
Step-by-step explanation:
La fórmula para el perímetro de un rectángulo es
P = 2L + 2W
L = longitud
A = ancho
P = 35 metros
se sabe que el doble de su ancho es igual a 3 veces su largo.
2A = 3L
Ancho = 3L / 2 = 1.5L
Sustituimos 1.5L por W
35 = 2 L + 2 (1.5 L)
35 = 2L + 3L
35 = 5 litros
L = 35/5
L = 7 metros
Por lo tanto, la longitud = 7 metros
Recuerda
A = 1.5 L
A = 1.5 × 7
A = 10.5 metros
La anchor = 10.5 metros
The graph of f (x) = x + 5 is a vertical translation 5 units
up of the graph of f(x) = x. How can you obtain the graph of
f(x) = x + 5 from the graph of f (x) = x using a horizontal
translation?
Answer:
A horizontal translation of 5 units to the left.
Step-by-step explanation:
Given the parent linear function:
[tex]\displaystyle f(x)=x[/tex]
To shift vertically n units, we can simply add n to our function. Hence:
[tex]f(x)=x+n[/tex]
So, a vertical shift of 5 units up implies that n=5. So:
[tex]f(x)=x+5[/tex]
As given.
However, to shift a linear function horizontally, we substitute our x for (x-n), where n is the horizontal shift. So:
[tex]f(x-n)=(x-n)[/tex]
Where n is the horizontal shift.
For example, if we shift our parent linear function 1 unit to the right, this means that n=1. Therefore, our new function will be:
[tex]f(x-1)=(x-1)[/tex]
Or:
[tex]f(x)=x-1[/tex]
We notice that this is also a vertical shift of 1 unit downwards.
Therefore, we want a number n such that -n=5.
So, n=-5.
Therefore, it we shift our function 5 units to the left, then n=-5.
Then, our function will be:
[tex]f(x-(-5))=(x+5)\text{ or } f(x)=x+5[/tex]
Hence, we can achieve f(x)=x+5 from f(x)=x using a horizontal translation by translating our function 5 units to the left.
BBBBBBBVVVVVBBBBBBBBBBVV
Answer:
A. 8(4+2)
Step-by-step explanation:
have a nice day
What is the slope of the line whose equation is: y = 2/5x - 5?
It takes Andre 4 minutes to swim 5 laps.
How many laps PER MINUTE is that? (round to two decimal places if needed)
can someone also show there work?
what's b ? plz help
58 i think
58*2+64=180
Mr. M has a recipe for sourdough bread. He uses 8/3 cups of flour to make 2 loaves of sourdough bread. If you were to follow the same recipe, which equation would work for making y loaves of bread with x cups of flour?
Answer:
2y=8/3x
Step-by-step explanation:
[tex] - 20x - 5[/tex]
what does equal
[tex]x[/tex]
help please i’ll give brainlest and lots of points
Answer:
1+1=2 so that's the answer
can someone help me. Arithmetic Sequences
Your bucket of Halloween candy has 125 pieces of candy in it. You decide that to ration yourself, you’re going to only eat 5 pieces per day.
What is the common difference?
Answer:
-5
Step-by-step explanation:
when you eat 5 pieces of candy per day then the sequence will be
125, 120, 115, 110, 105......
And Then, the common difference will be -5
If you ask a question will the points given ne deducted from your points
Answer:
I think so yeah. not sure though
Answer:
I think I kinda get this question but can you be a little more...Specific?
Step-by-step explanation:
hello can anyone help me ? here the question
Answer:
A. 1/5k - 2/3j and -2/3j +1/5k
Step-by-step explanation:
A. 1/5k - 2/3j and -2/3j +1/5k
B. 1/5k - 2/3j and -1/5k +2/3j
There is a change in the signs of each term
1/5k changed to -1/5k
-2/3j changed to +2/3j
Not equivalent
C. 1/5k - 2/3j and 1/5j - 2/3k
There is a change in the variables
1/5k changed to 1/5j
-2/3j changed to -2/3k
D. 1/5k - 2/3j and 2/3j - 1/5k
The is a change in the signs of each term
1/5k changed to -1/5k
-2/3j changed to +2/3j
The only equivalent expression is
A. 1/5k - 2/3j and -2/3j +1/5k
The equation f = V + at represents the final velocity of an object, f, with an initial velocity, w, and an acceleration rate,
a, over time, t. Which is an equivalent equation solved for a?
Of-v=a
Of-vra
1
Of+V = a
o+v=a
Answer:
hey
Step-by-step explanation:
the answer is 5
PLEASE HELP FAST I WILL GVIE BRAINLIST AND EXTRA MARKS FOR CORRECT ANSWER! THANKS
Answer:
f(-2) = 2
Step-by-step explanation:
Look at the graph and find -2 on the x-axis and see what the y-coordinate is on the line where x is -2. When you do this, you can see that where x is -2, y is 2.
So basically it wants the y-value :)
Answer:
1.25
Step-by-step explanation:
the answer is 1.25. To get that, I found the slope, wrote the equation in point slope form, and then I calculated when the f(x) function hits the line
A rectangle has an area of 135 ft 2 . What is the length, if the width is 9 ft?
Answer:
15 ft
Step-by-step explanation:
A=LxW
135 ft2 =m X 9ft
Divide 135 by 9
& that equals 15ft.
To check your answer, you multiply 15X9 and that equals 135. So the length of the rectangle is 15ft.
What number is 25% of 160? (worth lots of points because why not lol) help me-
Answer:
40
Step-by-step explanation:
This can be solved by changing the percentage to a decimal number, then multiplying by 160.
0.25×160=40
What is the quotation (-3)^0/(-3)^2
Hey there!
(-3)^0 / (-3)^2
(-3)^0 = 1 ⬅️ Numerator
(-3)^2 = (-3)(-3) = 9 ⬅️ Denominator
Answer: 1/9 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
A ranch hand herded his cattle to some grazing land. Then he began riding back to the ranch, which is due west, at 7 kilometers per hour. Simultaneously, the cows began moving away from him, too, headed due east at 2 kilometers per hour. How long did it take for the herd and the ranch hand to be 4 kilometers apart?
Answer:
4 kilometrs
Step-by-step explanation:
if you add the 2 to another 2 you get four
Answer:
4 kilometres
Hope this helped!
NEED HELP ASAP PLEASE!
Answer:-2
Step-by-step explanation:
-y+2x=-1 needs to be changed to y=-2x-1 so that you can set the two equation equal to each other in order to solve for x. That makes it -2x-1=1/2x+4
-4= -4
-2x-5 = 1/2x
+2x = +2x
-5 = 2.5x
div. 2.5 div. 2.5
X= -2
Check: y= -2(-2)-1 Y=3
y=1/2(-2)+4 Y=3
what does x equal and what are the angle measures?? help Asap
all triangles are 180 always. make a equation 2x+x+x+8 then combine like terms so it will be 4x+8 then divide by 4 on bith sides x=2
HELP ILL GIVE BRAINLIEST
Answer:
The bottom right table
Step-by-step explanation:
The sum of two numbers is 1633 and their difference is 35. Find the 2 numbers using simultaneous equation.
Please show working out
Answer:
Please Mark As Brainliest!!
834 and 799
Step-by-step explanation:
x+y=1633
x-y=35
2x= 1668
x=834
y=799
Answer:
((819.458,813.542)
Step-by-step explanation:
sum of two numbers=1633
x+y=1633----equation (i)
their difference=35
(x-y)^2=35----equation (ii)
solve simultaneous equation by using substitution method
x+y=1633
make x the subject of the formula
x=1633-y---(i)
substitute equation (i)into (ii)
(x-y)^2=3
(1633-y-y)^2=35
(1633-2y)^2=35
apply square root both sides
√(1633-2y)^2=√35
1633-2y=√35
-2y=√35-1633
-2y=-1627.08392
divide both sides by -2
y=813.5419601
substitute the value of y in equation (i
x=1633-y
x=1633-813.5419601
x=819.4580399
therefore the two numbers are (819.458, 813.542)