Step-by-step explanation:
e...
First;
g(5)=-2×5+7=-3
then
f(g(5))=3×-3-4=-9-4=-13
f...
g(2)=-2×2+7=3
now
g(g(2))=-2×3+7=1
A shop sells packs of black pens, packs of red pens and packs of green pens.
There are
2pens in each pack of black pens
5 pens in each pack of red pens
6 pens in each pack of green pens
On Monday,
number of packs
of black pens sold:
number of packs of red pens sold: number of packs of green pens sold =7:3:4
A total of 212 pens were sold.
Work out the number of green pens sold.
Answer:96 green pens
7x ,3x,4x
assume that the black pens amd red pens and green pens are sold respictely
7x.2+3x.5+4x.6=212
53x=212
x=4
number of green pens sold
4x.6=4x4x6=96
what number is the opposite of - 5/12
Answer:
5/12
Step-by-step explanation:
opposite is on the other side of the number line. 5/12 is the answer
What is the 7th term of the sequence 64, -16, 4, -1?
Answer:
0.25
Step-by-step explanation:
the pattern is dividing by -4. so divide -1 by -4 and you get 0.25.
Simplify the expression shown using Order of Operations. You must show your work to earn full credit. Perform on
operation per line in your response.
30 - [10 + (32 . 4))
Answer:
30-[10+( 128)]=
30-[138]=
-108
Step-by-step explanation:
Answer:
30-[10+( 128)]=
30-[138]=
-108
Step-by-step explanation:
What were some of their hardships in r obstacles that Martin Luther king jr had in their life?
In your own words
Answer: I would say that some of the Three challenges Martin Luther King Jr. faced in the battle for equal rights included the opposition of "good" white people to his tactics, his realization that the only way to win civil rights was to proceed nonviolently, and pushback against his plan in the late 1960s to unite Black people and white people in a war on poverty.
Step-by-step explanation:
Answer:
Martin Luther king faced many hardships and challenges in the duration of his life. His right to freedom of speech was violated constantly, resulting in him to get arrested, threatened, bombed, and even stabbed. He was targeted by people who didn’t want change. They wanted things to stay the way they were, where segregation was enforced, and the inequality of races continued. Although he was a subject to violence all his life, he never gave up and his dream impacted the world and became a reality.
Step-by-step explanation:
(7x³-11x-1)-(12x³+x²-8)
Answer:
[tex]- 5 {x}^{3} - {x}^{2} - 11x + 7 \\ [/tex]
Step-by-step explanation:
Before solving that we have to know that,
[tex]( + ) \times ( + ) = ( + ) \\ ( - ) \times (- ) = ( + ) \\ ( + ) \times ( - ) = (- )[/tex]
Let's solve now.
[tex]7 {x}^{3} - 11x - 1 - (12 {x}^{3} + {x}^{2} - 8) \\ 7 {x}^{3} - 11x - 1 - 12 {x}^{3} - {x}^{2} + 8 \\ 7 {x}^{3} - 12 {x}^{3} - {x}^{2} - 11x - 1 + 8 \\ = - 5 {x}^{3} - {x}^{2} - 11x + 7[/tex]
Hope this helps you.
Let me know if you have any other questions :-):-)
Two friends go out to eat and order the same meal. They pay a 6% sales tax and a 20% tip on their meals. The total bill, including tax and tip, is $27.72. How much did each meal cost before tax and tip? (Assume that the friends pay a tip on the cost of the meals only.) IF CORRECT I WILL GIVE BRAINLIEST!!
Sales tax and tip will increase the price of an item.
The cost of each meal is: $10.89
Let the cost of both meals be x.
A 20% tip means that, the current price is:
[tex]Price = x \times (1 + 20\%)[/tex]
A 6% sales tax on the meal means that, the current price is:
[tex]Price = x \times (1 + 20\%) \times (1 + 6\%)[/tex]
So, we have:
[tex]Price = x \times (1 + 0.20) \times (1 + 0.06)[/tex]
[tex]Price = x \times (1.20) \times (1.06)[/tex]
[tex]Price = x \times 1.272[/tex]
The amount paid is $27.72
So, the equation becomes
[tex]27.72= x \times 1.272[/tex]
Make x the subject
[tex]x = \frac{27.72}{1.272}[/tex]
[tex]x = 21.78[/tex]
So, the cost of each meal is:
[tex]Each= \frac{21.78}{2}[/tex]
[tex]Each= 10.89[/tex]
Hence, the cost of each meal is: $10.89
Read more about sales tax at:
https://brainly.com/question/19715580
In the xy-plane, a line crosses the y-axis at the point (0, 3) and passes through the point (4, 5). Which is the equation of the line? A) y = 1 2 x + 3 B) y = 2x + 3 C) y = 1 2 x − 4 D) y= 2x − 4
The equation of a line crosses the y-axis at the point (0, 3) and passes through the point (4, 5) is y=1/2 x+2. Therefore, option A is the correct answer.
What is the equation of a line?The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
Given that, in the xy-plane, a line crosses the y-axis at the point (0, 3) and passes through the point (4, 5).
We know that, the formula to find the slope of a line is m=(y2-y1)/(x2-x1)
Substitute (x1, y1)= (0, 3) and (x2, y2)= (4, 5) in slope formula, we get
= (5-3)/(4-0)
= 2/4
= 1/2
Now, substitute m=1/2 and (x, y)=(0, 3) in y=mx+c, we get
3=1/2(0)+c
c=3
Put m=1/2 and c=3 in y=mx+c, we get
y=1/2 x+2
The equation of a line crosses the y-axis at the point (0, 3) and passes through the point (4, 5) is y=1/2 x+2. Therefore, option A is the correct answer.
To learn more about the the equation of a line visit:
https://brainly.com/question/2564656.
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What is the difference in length between the shortest worm (3/4) and the longest worm (1 1/2)
Answer: 3/4 difference
Step-by-step explanation:
Turn 1 1/2 improper = 3/2
Multiply it by 2 (to make the denominator the same)
Do 6/4 minus 3/4 to get 3/4 as your answer.
Hope that helps! :))
Whoever answers I’ll mark brainliest
Answer:
Right Triangle.
Step-by-step explanation:
A right triangle always has a 90 degree angle.
Answer:Right angle
Step-by-step explanation:the box down there signals its a 90 degree angle
What is the quotient in the simplest form ? 3/5 divided by 2/7
Hey ! Can anyone help me with this problem please thank you !!
Answer:
94
Step-by-step explanation:
(x+5)+(x-13) = 180
2x -8 = 180
2x = 188
x= 94
Enter the number
10.333333333333
rounded to the nearest hundredth (two decimal places):
Answer:
Step-by-step explanation:
This decimal rounded to the nearest 1/100 is 10.33 The next 3 in the 1/1000 place, is not large enough to influence the 3 in the hundredth place.
So the answer is 10.33
The lunch check is $16.98. Estimate the tip
using a rate of 15%
Am i right on this one?
Answer:
yes
Step-by-step explanation:
brainliest please
Yes this is correct, i cant really explain since i already did this question on paper but I CAN tell you it is right
The following figures are similar. Solve for x.
Answer:
i need a picture
Step-by-step explanation:
36 workers can complete a piece of work in 12 days how many workers should be removed to complete the same work in 24 days
please explain step by step
Does anyone know this?
Answer:
8/21
Step-by-step explanation:
-1/3 + 5/7=1×7 =-7/21 +15/21
- × -
3. 7
-7/21 + 15/21= -7+15 = 8/21
-----
21
What is the inverse of the function g(x) = x^3/8 + 16 ?
Answer:
[tex] \hookrightarrow \: { \rm{f(x) = \frac{ {x}^{3} }{8} + 16}} \\ [/tex]
• let f(x) be m:
[tex]{ \rm{m = \frac{ {x}^{3} }{8} + 16}} \\ [/tex]
• make x the subject of the function:
[tex]{ \rm{8m = {x}^{3} + 128}} \\ \\ { \rm{ {x}^{3} = 8m - 128 }} \\ \\ { \rm{ {x}^{3} = 8(m - 16) }} \\ \\ { \rm{x = \sqrt[3]{8} \times \sqrt[3]{(m - 16)} }} \\ \\ { \rm{x = 2 \sqrt[3]{(m - 16)} }}[/tex]
• therefore:
[tex]{ \boxed{ \rm{ {f}^{ - 1} (x) = 2 {(m - 16)}^{ \frac{1}{3} } }} }\\ [/tex]
PLEASE HELP ITS MATH THANK YOUUUU
Answer:
5:1
Step-by-step explanation:
The ratio in this case is inches to yards so it would be 5 inches to 1 yard
I NEED HELP ON THIS SO I CAN PASS
Answer:
the answer is 1st.
because _ ✖️ _= +
Another way to write above expression is :
[tex]{ \bigg( - \dfrac{2}{3} \bigg) }^{2} [/tex]
Equivalent fractions
Answer: Like 1/3=2/6 and 2/3=4/6, 1/4=2/8 then 3/4=6/8.
Step-by-step explanation: Hope this help. hit me up if u need some more help
Answer:
1) 1/2 = 18/36 = 9/18 = 8/16 = 21/42 = 24/48
2) 5/6 = 40/48 = 10/12 = 25/30 = 15/18 = 20/24
3) 1/3 = 3/9 = 9/27 = 30/90 = 2/6 = 4/12
4) 3/4 = 18/24 = 12/16 = 6/8 = 15/20 = 27/36
5) 4/9 = 8/18 = 20/45 = 16/36 = 24/54 = 12/27
Step-by-step explanation:
The main explaination for this is to take your denominator -- your bottom number of the fraction -- and divide it by the denominator to which you're trying to compare it to. Multiply your numerator to the compared to find your full fraction.
For example, say the fraction is 1/2. You're trying to figure out it's equivalent through the pair _/100. Take your 100 and divide it by 2, your other denominator, which leaves you with 50. Take the 50 and multiply it by the compared numirator to find your full fraction, which in this case is 50/100.
Hopes this helps you!
is the product of 2 numbers always the LCM
Answer
I guess so.
To find the LCM you need to know the lowest digit as possible.
For example,
Question: What is the LCM of 8 and 6?
Answer: Table of 8: 8, 16, 24, 32, 40,48
Table of 6: 6, 12, 18, 24, 30, 36, 42, 48
Now look at the tables again and, did you see the LCM???......
If so your answer would be 24.
Step-by-step explanation:
3/5x+1/4=-1/2 standard form
Answer:
Hello there your answer is 12 x + 5 y = − 10!
CORRECT ANDWER GETS BRAINEST! CORRECT ANSWER GETS BRAINEST
Answer:
[tex] - 3 \times \frac{3}{7 } [/tex]
- What is 175% of 852
Answer:
1491
Step-by-step explanation:
1.75 times 852 equals 1491
pls help find the area of this triangle
Answer:
c
Step-by-step explanation:
h × b then Divide by 2......
Find the value of y' when x
O if
xy^8 + e^y/5 =
= e.
It looks like the given equation says
[tex]xy^8 + e^{y/5} = e[/tex]
When x = 0, you have
[tex]0\cdot y^8 + e^{y/5} = e \\\\ e^{y/5} = e^1 \\\\ \dfrac y5 = 1 \\\\ y=5[/tex]
Differentiating both sides with respect to x gives
[tex]\left(xy^8 + e^{y/5}\right)' = e' \\\\ \left(xy^8\right)' + \left(e^{y/5}\right)' = 0 \\\\ x\left(y^8\right)' + x'y^8 + e^{y/5}\left(\dfrac y5\right)' = 0 \\\\ 8xy^7y' + y^8 + \dfrac15e^{y/5}y' = 0[/tex]
That is, the derivative operator distributes over sums, and the derivative of a constant is 0; apply the product rule on the first term and chain rule on the second; then use chain rule one more time.
Now plug in x = 0 and y = 5, and solve for y' :
[tex]8\cdot0\cdot5^7y' + 5^8 + \dfrac15e^{5/5}y' = 0 \\\\ 5^8 + \dfrac15e y' = 0 \\\\ \dfrac15e y' = -5^8 \\\\ y' = \boxed{-\dfrac{5^9}e}[/tex]
3. A cookie recipe called for 3 1/2 cups of sugar for every 2 1/6 cups of flour.
a. What is the unit rate of cups of
sugar to cups of flour?
b. How many cups of sugar would
you need if you used 6 cups of
flour?
3.5 to 2.167
2.80
Step-by-step explanation:
q(x)= 1/2x - 3; q(x) =-4. Find the value of x
Answer:
[tex]q(x) =-5[/tex]
Step-by-step explanation:
I am solving this using Function Notation.
We are given:
[tex]q(x)= \frac{1}{2}x - 3[/tex]
While we are to find:
[tex]q(x) =-4[/tex]
In Function Notation, replace all the "[tex]x[/tex]" you see with the value you are given.
So, in this case,
[tex]q(x)= \frac{1}{2}x - 3\\\\=\frac{1}{2}x - 3[/tex]
Would become
[tex]q(x)= \frac{1}{2}x - 3\\\\=\frac{1}{2}(-4) - 3[/tex]
Now we can solve.
[tex]\frac{1}{2}(-4) - 3[/tex]
Use PEMDAS; Parenthesis first;
[tex]\frac{1}{2}(-\frac{4}{1})[/tex]
Cross divide: 1 cancels 1, -4 ÷ 2 = -2
Hence, we are left with
[tex](-2) - 3[/tex]
[tex]-5[/tex]
Therefore, the value of x is -5