Answer: 4x³+29x²+40x-48
Step-by-step explanation:
To solve f(x)·g(x), you multiply them together.
(4x²+13x-12)(x+4) [distribute by FOIL]
4x³+16x²+13x²+52x-12x-48 [combine like terms]
4x³+29x²+40x-48
Now, we know that f(x)·g(x)=4x³+29x²+40x-48.
Answer: 4x³+29x²+40x-48
Step-by-step explanation:
The product of two functions=f(x)·g(x)=fg(x)
Use FOIL method to simplify expression.
FirstOuterInner Laterf(x)·g(x)
=(4x²+13x-12)·(x+4)
=4x³+16x²+13x²+52x-12x-48
=4x³+29x²+40x-48
How do you evaluate functions in a real-world context?
Answer:
To evaluate a function is to: Replace its variable with a given number or expression.
Step-by-step explanation:
9
Find the value of a*
(1 Point)
If the line y = 2ax + 3 is parallel to the line y = 4 - 6
Answer:
u can use desmos
Step-by-step explanation:
Can you help me with this one ?
Answer:
y = 2x-3
Step-by-step explanation:
We can use those 2 points given to solve for the slope (m) and for the y-intercept (b) in the equation y = mx+b
Slope:
(3,3) and (4,5)
m = [tex]\frac{y2-y1}{x2-x1}[/tex]
m = [tex]\frac{5-3}{4-3}[/tex]
m = 2
Y-intercept:
y = 2x+b
3 = 2(3) +b
3 = 6+b
b = -3
equation: y = 2x-3
(PLEASE ANSWER THESE ASAP)
(1) K-Mart is offering a 15% discount on children's clothing. Susan sees a jumper she likes for $30. How much does she pay for the jumper?
(2) Michael has $35 to divide between his two daughters, Paula and Mathilda, in the ratio of 3:2 How much money does each daughter receive?
Answer:
easy
Step-by-step explanation:
easy..................
7x + 2x - 3x idk it give me a hand
Answer:1x
Step-by-step explanation:
Answer:
the answer is 6x
Please help me!! Thank you
Answer:
The next fraction in the pattern is 243/324
Step-by-step explanation:
Every number in the pattern is x3 of the previous number
The intersection of two streets forms a parallelogram. One street is 40 feet wide. The height of the parallelogram formed is 25 ft. What is the area of the intersection?
Answer:
1000 feet²
Step-by-step explanation:
Given that,
Width of a parallelogram is 40 feet
Height of the parallelogram is 25 feet
We need to find the area of the intersection that forms a parallelogram. The formula for the area of a parallelogram is given by :
A = base × height
A = 40 × 25
A = 1000 feet²
So, the area of the parallelogram is 1000 feet²
PLEASE HELP URGENT! 25 POINTS
Find x:
(If you can please explain how I can figure this out on my own
Answer:
56°
Step-by-step explanation:
a straight line is 180° and 124° subtracted from 180° is 56°
Find the slope “m” and the y-intercept “b”. a. y = 3x − 4 b. 4x − 5y = 15
Step-by-step explanation:
Equation of a line is y = mx + b
where
m is the slope
b is the y intercept
First question
a.)y = 3x - 4
Comparing with the general equation above
Slope / m = 3
The y intercept / b = - 4
Second question
b).4x - 5y = 15
First we must write the equation in the general equation above by making y the subject
That's
5y = 4x - 15
Divide both sides by 5
That's
[tex] \frac{5y}{5} = \frac{4}{5} x - \frac{15}{5} [/tex]
We have
[tex]y = \frac{4}{5} x - 3[/tex]
Comparing with the general equation above
Slope = 4/5
Y intercept = - 3
Hope this helps you
which shows the image of rectangle ABCD after rotation (x,y) (-y,x)
Answer:
The first one
Step-by-step explanation:
the C y value is 4 and the first one's C' x value is -4
proving x=>-y
Answer: The correct answer is A
Step-by-step explanation:
-4(4x + 4) + 7(1 + 9x)
Answer:
47x - 9
Step-by-step explanation:
-4(4x + 4) + 7(1 + 9x)
-16x -16 + 7 + 63x
47x -9
You can find what x = because there is no = sign. This is in simplest form.
Answer:
47x -9
Step-by-step explanation:
[tex]-4(4x + 4) + 7(1 + 9x)\\\\\mathrm{Expand}\:-4\left(4x+4\right):\quad -16x-16\\=-16x-16+7\left(1+9x\right)\\\\\mathrm{Expand}\:7\left(1+9x\right):\quad 7+63x\\=-16x-16+7+63x\\\\\mathrm{Simplify}\:-16x-16+7+63x:\\\quad 47x-9[/tex]
plz solve this problem of trigonometry
i am an aakashian
Step-by-step explanation:
[tex]\bf L.H.S = \tt \dfrac{sec\: \theta + tan \: \theta - 1}{tan \: \theta - sec \: \theta + 1} \\ \\ [/tex]
[tex]: \implies \tt \dfrac{\frac{1}{cos \: \theta} + \frac{sin \: \theta}{cos \: \theta} - 1}{ \frac{sin \: \theta}{cos \: \theta} - \frac{1}{cos \: \theta} + 1 } \: = \dfrac{1 + sin \: \theta - cos \: \theta}{sin \: \theta + cos \: \theta} \\ \\ [/tex]
[tex]: \implies \tt\dfrac{ sin \: \theta - (cos \: \theta - 1)}{sin \: \theta + (cos \: \theta - 1)} \: \times \: \dfrac{ sin \: \theta - (cos \: \theta - 1)}{sin \: \theta - (cos \: \theta - 1)} \\ \\ [/tex]
[tex]: \implies \tt\dfrac{ sin^{2} \: \theta + cos^{2} \: \theta + 1 - 2 \: cos \: \theta - 2 \: sin \: \theta \: (cos \: \theta - 1)}{sin^{2} \: \theta - (cos \: \theta - 1)^{2} } \\ \\ [/tex]
[tex]: \implies \tt\dfrac{1 + 1 - 2 \: cos \: \theta - 2 \: sin \: \theta \: cos \: \theta + 2 \: sin \: \theta}{sin^{2} \: \theta + cos^{2} \: \theta - 1 + 2 \: cos \: \theta } \\ \\ [/tex]
[tex]: \implies \tt\dfrac{2 - 2 \: cos \: \theta - 2 \: sin \: \theta \: cos \: \theta + 2 \: sin \: \theta}{sin^{2} \: \theta + cos^{2} \: \theta - sin^{2} \: \theta - cos^{2} \: \theta + 2 \: cos \: \theta } \\ \\ [/tex]
[tex]: \implies \tt\dfrac{2 (1 - \: cos \: \theta )- 2 \: sin \: \theta (1 - \: cos \: \theta)}{ 2 \: cos \: \theta - 2 \: cos^{2} \: \theta} \\ \\[/tex]
[tex]: \implies \tt\dfrac{(2 + 2 \: sin \: \theta) \: \cancel{(1 - cos\: \theta)}}{2 \: cos \: \theta \: \cancel{(1 - cos \: \theta)}} \: = \: \dfrac{1 + sin \: \theta}{cos \: \theta} \\ \\[/tex]
[tex]: \implies\tt\dfrac{1 + sin \: \theta}{cos \: \theta} \: \times \: \dfrac{1 - sin \: \theta}{1 - sin \: \theta} \\ \\ [/tex]
[tex]: \implies\tt\dfrac{1 + sin^{2} \: \theta}{cos \: (1 - sin \: \theta)} \\ \\ [/tex]
[tex]: \implies\tt\dfrac{cos^{2} \: \theta}{cos \: \theta (1 - sin \: \theta)} \\ \\ [/tex]
[tex]: \implies\tt\dfrac{cos \: \theta}{1 - sin \: \theta} \: = \: \bf{ R.H.S}\\ \\ [/tex]
[tex]\huge\bigstar \:\underline{\red{\sf Hence, Proved}} \: \bigstar \\ [/tex]
PLeaseeeeee helpp read this At the beginning of this month, the balance of Esmeralda's checking account was $1023.49. So far this month, she has received a paycheck via direct deposit of $778.98, been charged a monthly service fee from her bank of $18, used a debit card linked to her account to make a purchase of $51.27, written a check for $388.63 that has already been deposited, and deposited a check written to her for $102.76, all in that order. Esmeralda wants to know the current balance of her account.
Part 1: What was the balance of Esmeralda's checking account after she received her paycheck via direct deposit?
Part II: What was the balance of Esmeralda's checking account after she was charged a monthly service fee from her bank?
Part III: What was the balance of Esmeralda's checking account after she used a debit card linked to her account to make a purchase?
Part IV: What was the balance of Esmeralda's checking account after the check she wrote was deposited?
Part V: What was the balance of Esmeralda's checking account after she deposited the check written to her? This is the current balance of Esmeralda's account.
Answer:
$1802.47; $1784.47; $1733.20; $2121.83; $2224.59
Step-by-step explanation:
Variable x = answer
Part 1:
1023.49 + 778.98 = x
$1802.47 = x
Part 2:
1023.49 + 778.98 - 18.00 = x
1802.47 - 18.00 = x
$1784.47 = x
Part 3:
1023.49 + 778.98 - 18.00 - 51.27 = x
1802.47 - 18.00 - 51.27 = x
1784.47 - 51.27 = x
$1733.20 = x
Part 4:
1023.49 + 778.98 - 18.00 - 51.27 + 388.63 = x
1802.47 - 18.00 - 51.27 + 388.63 = x
1784.47 - 51.27 + 388.63 = x
1733.20 + 388.63 = x
$2121.83 = x
Part 5:
1023.49 + 777.98 - 18.00 - 51.27 + 388.63 + 102.76 = x
1802.47 - 18.00 - 51.27 + 388.63 + 102.76 = x
1784.47 - 51.27 + 388.63 + 102.76 = x
1733.20 + 388.63 + 102.76 = x
2121.83 + 102.76 = x
$2224.59 = x
A simpler way to do this is by using the last number and adding or subtracting to that. I showed it this way to give you a better understanding.
The temperature at 2:00 pm is 27 degrees at 2 :00 the temperature has fallen to -4 degrees what is the difference in temperature from 2:00 pm to 2:00 am ?
Answer:
31 degrees
Step-by-step explanation:
Difference in temperature from 2:00 pm to 2:00 am = 27 - (-4) = 27 + 4 = 31 degrees
Find the lowest common multiple (LCM) of 30 and 42
Answer:
2-30,42
3-15,21
5-5,7
7-1,7
-1,1
LCM of 30 and 42 is 210
Answer:
210
Step-by-step explanation:
30*42 by HCF of 30,42
1260 by 6 =210
What is this 8=a+3+4
[tex]\bf Step-by-step~explanation:[/tex]
If we were to solve for a, we will need to isolate the variable.
[tex]\bf Step~1:[/tex]
Add the like terms on the right side of the equation together.
[tex]\bf 8=a+3+4\\8=a+7[/tex]
[tex]\bf Step~2:[/tex]
Subtract 7 from both sides to move 7 to the other side.
[tex]\bf 8(-7)=a+7(-7)\\1=a[/tex]
[tex]\bf Step~3:[/tex]
Rewrite the equation so that the variable is at the beginning. This is the format most teachers prefer.
[tex]\bf 1=a\\a=1[/tex]
[tex]\large\boxed{\bf Our~final~answer:~a=1}[/tex]
There are 60 inches in 5 feet. How many inches are in 8 feet?
63 inches
72 inches
96 inches
80 inches
Answer:
96
Step-by-step explanation:
multiply by 12 because thats how many inches are in a foot
There are 96 inches in 8 feet.
feet to inches:1 foot = 12 inchesThere are 60 inches in 5 feet. Therefore,
5 feet = 60 inches
8 feet = ?
cross multiply
length in inches = 60 × 8 / 5
length in inches = 480 / 5
length in inches = 96 inches.
Therefore, there are 96 inches in 8 feet.
learn more on length here: https://brainly.com/question/23044923?referrer=searchResults
Help mehhhhh. ❗️The number of tickets sold on Friday at a movie theater was 2,000 more than the number of tickets sold on Tuesday. 1,250 tickets were sold on Tuesday. Which integer represents the number of tickets sold on Friday?
Answer:
3,250
Step-by-step explanation:
1,250 + 2,000 = 3,250I hope this helps!
Answer:
The integer number is
3,250
Step-by-step explanation:
Tuesday ticket solds : 1,250
Friday ticket solds = 2000 + 1250 = 3250
i’m confused. someone pls help (＋_＋)
2. d - 2.5
4. 2n
6. 4(x + 1/2)
8. 2k + (s - 2)
10. 5(m / 2)
The 2-minute-and-43-second song “You’re Welcome” from the movie Moana has been used in more than 3,000 videos. What percent of the song can be used in a 30-second TikTok?
Answer:
18.4%
Step-by-step explanation:
18.4
alliknowinmybrainly
I NEED HELP ASAP PLEASEEEE
Evaluate the expression for w = 9.
2w − 2 =
Answer:
2w-2=16
Step-by-step explanation:
w=9
2w-2
2(9)-2
18-2
16
Answer:
16
Step-by-step explanation:
When we have an expression and we are given the value of the variable, we can substitute inside the expression and find it’s value.
[tex]2w-2[/tex], we know [tex]w=9[/tex] so:
[tex](2\cdot 9) - 2[/tex]
[tex]2\cdot9=18[/tex]
[tex]18-2\\\\16[/tex]
Hope this helped!
does the number 15/3 belong to the set of natural/counting numbers?
If a recipe calls for three-quarters of a
cup of sugar but Kate only wants to
make half of the recipe, how much sugar
will she need?
Kate will need 3/8 cup of sugar.
What is a fraction?Fractions represent the parts of a whole or collection of objects.
A fraction has two parts. The number on the top of the line is called the numerator and the number on the top of the line is called the denominator.
Now it is given that,
Cups of sugar needed for a recipe= 3/4
Now Kate only wants to make half of the recipe
Cups of sugar needed for a half of the recipe = Cups of sugar needed for a recipe / 2
⇒ Cups of sugar needed for a half of the recipe = 3/4 ÷ 2
⇒ Cups of sugar needed for a half of the recipe = 3/8
Thus, Kate will need 3/8 cup of sugar.
To learn more about fractions:
brainly.com/question/445498
#SPJ2
A group of experimenters has 60 wasps in a large container and needs to assign 15 to each of four groups labeled A, B, C, and D for an experiment. They can capture the wasps one at a time when the wasps enter a side chamber in the container that is baited with food. Which of the following methods is most likely to result in four comparable groups of 15 wasps each? (4 points) a- Place each wasp in its own numbered container (numbered from 1−60) in the order that it was caught. Write the numbers from 1 to 60 on slips of paper, put the slips in a jar, and mix them well. Pick 15 numbers out of the jar. Assign the wasps in the containers with those numbers to group A. Pick 15 more numbers for group B. Pick 15 more numbers for group C. Assign the remaining 15 wasps to group D. b- Label the first 15 wasps caught as group A, the second 15 caught as group B, the third 15 caught as group C, and the fourth 15 caught as group D. c- Write the letters A, B, C, and D on separate slips of paper. Pick one of the slips of paper randomly and assign the first 15 wasps caught to that group. Pick another slip and assign the next 15 wasps caught to that group. Pick another slip and assign the next 15 wasps caught to that group. Assign the remaining wasps to the remaining group. d- When each wasp is caught, roll a die. If the die shows an even number, the wasp is labeled A. If the die shows an odd number, the wasp is labeled B. When 15 wasps have been labeled A and 15 have been labeled B, split the remaining 30 wasps into groups C and D. e- When each wasp is caught, roll a die. If the die shows a 1 or 2, the wasp is labeled A. If the die shows a 3 or 4, the wasp is labeled B. If the die shows a 5 or 6, the wasp is labeled C. Repeat this process for 45 wasps. Assign the remaining 15 wasps to group D.
Answer:
The correct answer is:
a-
Place each wasp in its own numbered container (numbered from 160) in the order that it was caught. Write the numbers from 1 to 60 on slips of paper, put the slips in a jar, and mix them well. Pick 15 numbers out of the jar. Assign the wasps in the containers with those numbers to group A. Pick 15 more numbers for group B. Pick 15 more numbers for group C. Assign the remaining 15 wasps to group D.
Step-by-step explanation:
Each other answer is affected by the order in which wasps were caught, which may be due to a confounding variable.
(I also got this question right on my test :) Please rate this answer to help others. If you believe I am incorrect please rate 1 star so that others will know).
this is integrated math2, help plzzzz. i’m so lost idk what this is:/
I remember doing the last question.
If you recall, x = 29
Just plug 29 into x for each angle
A = 3(29) = 87
B = 2(29) + 1 = 59
C = 29 + 5 = 34
Answer:
The value of angle C is 34°
Step-by-step explanation:
2x+1°+x+5°+3x° = 180° { the sum of angle of triangle is 180°}
or, 6x + 6° = 180°
or, 6x = 180° - 6°
or, x = 174°/6
or, x = 29°
now,
value of angle C = x+5°
= 29°+5°
= 34°
For a field trip 12 students rode in cars and the rest filled 8 buses.
How many students were in each bus if 324 students were on the
trip?
Help plzzzz
a line has a slope of 9 and includes the points (2,a) and (4,9.) What is the value of a?
Answer:
my guess would have to be a= -9 (negative nine)
Step-by-step explanation:
sorry, i tried solving the problem otherwise and couldn't get an answer, good luck
Write an explicit formula for the n^th term a n 13, 17, 21, 25, ...
The first term in our arithmetic sequence = 13
The common difference of our arithmetic sequence = 17 - 13 = 4
The formula for finding an equation for any arithmetic sequence is a(n) = A + B(n - 1)
A = the first term
B = the common difference.
Let's plug our numbers in.
a(n) = 13 + 4(n - 1)
Let's check to make sure we're correct.
a(1) = 13 + 4(1 - 1) = 13 + 4(0) = 13 + 0 = 13
a(2) = 13 + 4(2 - 1) = 13 + 4(1) = 13 + 4 = 17
That verifies that our formula is correct.
In conclusion,
a(n) = 13 + 4(n - 1)
Graph the linear function g(x)=−4+7x.
20 points
5. Convert the following standard equation to slope-intercept form (y =
mx + b) and identify the slope: 8x + 2y = 20 *
Answer:
y = -4x +10
Slope = -4
Step-by-step explanation:
[tex]8x + 2y = 20[/tex]
Slope intercept form =
[tex]y = mx + b[/tex]
[tex]2y = - 8x + 20[/tex]
Divide both sides of the equation by 2
[tex] \frac{2y}{2} = \frac{ - 8x}{2} + \frac{20}{2} [/tex]
Simplify
[tex]y = - 4x + 10[/tex]
In y= mx+b , m is the slope and the coefficient of x
[tex]m = - 4[/tex]