Answer:
44
Step-by-step explanation:
4×(2)×4-2×(7)×2+40=?
8×4-14×2+40=?
32-28+40=
=44
Part A Which features describe the graph? Select all that apply. A domain: (-3, 4] B. range: (-3, 3] o C. increasing: (-3. -1) D. decreasing: (-1, 4) E positive: (-2, 2) F. negative: (-3.-2). (2, 4] Part B What is the average rate of change over the interval [-2. O for the graph in Part A? average rate of change =
Answer:
C, F
Step-by-step explanation:
The fifty people at a library are only allowed to sit in groups of 3,4, or 5 people. If all 50 people are seated, the greatest possible number of groups is
Answer:
16
Step-by-step explanation:
50÷3=16R2
Second largest multiple of 3 that is smaller than 50=45
45÷3=15 groups of 3 people each
50-45=5
=1 group of 5 people
Greatest possible number of groups=15+1
=16
A packet of flour and a bag of onions have a total mass of 3.25kg.
3 similar packets of flour and 2 similar bags of onions weigh 9kg in all.
What is the total mass of 5 such packets of flour?
Set flour =x and onions=y
We have
{ x + y = 3.25
{ 3x + 2y = 9
x= [tex]\frac{5}{2}[/tex]
y=[tex]\frac{3}{4}[/tex]
Good Luck
A company that makes barber scissors has found that the sales volume for barber scissors is directly proportional to the size of the sales force and inversely proportional to the price of the scissors. If 19440 pairs were sold in 2003, when there were 54 salespeople and the price was $20 a pair, what is the sales forecast for the upcoming year with 50 salespeople and a price of $18 a pair?
Answer:
20,000 pairs of barber scissors.
Step-by-step explanation:
The sales volume V for barber scissors is directly proportional to the size S of the sales force and inversely proportional to the price P of the scissors.
In other words, we can write that:
[tex]\displaystyle V = \frac{kS}{P}[/tex]
Where k is the constant of proportionality.
19,440 pairs were sold in 2013, when there was 54 salespeople and the price was $20 a pair. Hence, V = 19440 when S = 54 and P = 20. Substitute and determine the value of k:
[tex]\displaystyle \begin{aligned} (19440) &= \frac{k(54)}{(20)} \\ \\ 19440 &= \frac{27}{10}k \\ \\ k &=\frac{10}{27}(19440) = 7200 \end{aligned}[/tex]
Hence, our equation is:
[tex]\displaystyle V = \frac{7200S}{P}[/tex]
We want to determine the sales forecast with 50 salespeople and a price of $18 a pair. Hence, S = 50 and P = 18:
[tex]\displaystyle \begin{aligned} V&= \frac{7200(50)}{(18)} \\ \\ &= 20000\end{aligned}[/tex]
In conclusion, 20,000 pairs of barber scissors can be expected to be sold.
Find a polynomial $f(x)$ of degree $5$ such that both of these properties hold: $\bullet$ $f(x)$ is divisible by $x^3$. $\bullet$ $f(x) 2$ is divisible by $(x 1)^3$. Write your answer in expanded form (that is, do not factor $f(x)$).
There seems to be one character missing. But I gather that f(x) needs to satisfy
• [tex]x^3[/tex] divides [tex]f(x)[/tex]
• [tex](x-1)^3[/tex] divides [tex]f(x)^2[/tex]
I'll also assume f(x) is monic, meaning the coefficient of the leading term is 1, or
[tex]f(x) = x^5 + \cdots[/tex]
Since [tex]x^3[/tex] divides [tex]f(x)[/tex], and
[tex]f(x) = x^3 p(x)[/tex]
where [tex]p(x)[/tex] is degree-2, and we can write it as
[tex]f(x)=x^3 (x^2+ax+b)[/tex]
Now, we have
[tex]f(x)^2 = \left(x^3p(x)\right)^2 = x^6 p(x)^2[/tex]
so if [tex](x - 1)^3[/tex] divides [tex]f(x)^2[/tex], then [tex]p(x)[/tex] is degree-2, so [tex]p(x)^2[/tex] is degree-4, and we can write
[tex]p(x)^2 = (x-1)^3 q(x)[/tex]
where [tex]q(x)[/tex] is degree-1.
Expanding the left side gives
[tex]p(x)^2 = x^4 + 2ax^3 + (a^2+2b)x^2 + 2abx + b^2[/tex]
and dividing by [tex](x-1)^3[/tex] leaves no remainder. If we actually compute the quotient, we wind up with
[tex]\dfrac{p(x)^2}{(x-1)^3} = \underbrace{x + 2a + 3}_{q(x)} + \dfrac{(a^2+6a+2b+6)x^2 + (2ab-6a-8)x +2a+b^2+3}{(x-1)^3}[/tex]
If the remainder is supposed to be zero, then
[tex]\begin{cases}a^2+6a+2b+6 = 0 \\ 2ab-6a-8 = 0 \\ 2a+b^2+3 = 0\end{cases}[/tex]
Adding these equations together and grouping terms, we get
[tex](a^2+2ab+b^2) + (2a+2b) + (6-8+3) = 0 \\\\ (a+b)^2 + 2(a+b) + 1 = 0 \\\\ (a+b+1)^2 = 0 \implies a+b = -1[/tex]
Then [tex]b=-1-a[/tex], and you can solve for a and b by substituting this into any of the three equations above. For instance,
[tex]2a+(-1-a)^2 + 3 = 0 \\\\ a^2 + 4a + 4 = 0 \\\\ (a+2)^2 = 0 \implies a=-2 \implies b=1[/tex]
So, we end up with
[tex]p(x) = x^2 - 2x + 1 \\\\ \implies f(x) = x^3 (x^2 - 2x + 1) = \boxed{x^5-2x^4+x^3}[/tex]
HELP ASAP!! THIS IS SLOPE INTERCEPT FORM AND I HAVE NO IDEA HOW TO TO DO PLEASE EXPLAIN
help!! this is math.
Answer:
2,78,31,64,4-2,10-6,54,-97,-38,-8-7,-4-5,-11-1,-16janessa is playing a board game with two friends. using a single die, one friend rolled a four, and the other friend rolled a three. janessa needs to roll a number higher than both friends in order to win the game, and she wants to calculate her probability of winning. Is the probability of Janessa winning an independent event or dependent event
Answer:
It is a dependent event, because it depends of the number she'll get rolling the die
What is the slope of the line represented by the equation y = -1/2x+ 1/4
Answer:
y = mx+ b
m=slope
-1/2
Step-by-step explanation:
Answer:
-1/2
Step-by-step explanation:
Slope-intercept form: y = mx + b
m = slopeb = y-interceptBy comparing the formula to the equation given, it is clear the slope of the line is -1/2.
What does x equal?
2x + 5x – 4= 17
Answer:
x = 3
Step-by-step explanation:
2x + 5x - 4 = 17 (Given)
7x - 4 = 17 (Simplify)
7x - 4 + 4 = 17 + 4 (Add 4 on both sides)
7x = 21 (Simplify)
7x/7 = 21/7 (Divide 7 on both sides)
x = 3 (Simplify)
WILL GIVE BRAINLIEST TO WHOEVER CAN EXPLAIN:
True or False-in scientific notation when you move the decimal point left is it positive.
Answer:
false.
Step-by-step explanation:
just cause you move a decimal point to the left dosent mean its positive.
m−4=2m what does m= Please help
Answer:
-4
Step-by-step explanation:
you would subtract m from both sides to get -4=m
A man is paid $1500 salary. He spends 20% of the salary for his kids education, 35% for food, 15% for miscellaneous and he saves the rest. How much money does he save?
Answer:
450
Step-by-step explanation:
The total is 100 %
20% + 35% +15% = 70%
100-70 = 30
He saves 30%
1500 * 30%
1500 *.30
450
A man is paid $1500 salary. He spends 20% of the salary for his kids education, 35% for food, 15% for miscellaneous and he saves the rest. How much money does he save?
S O L U T I O N :Total Income = $ 1500
According to the question,
He spends 20% to his kids education
He spends 35% for food
He spends 15% for miscellaneous
Out of total income he spends 20% on kids education
So, amount spent on kids education = 20% of $1500
Amount = 20/100 × $1500
Amount = $300
Hence, money spent on his kids education is $300
35% is spent on food
Money spent on food = 35% of $1500
Money spent = 35/100 × $1500
Money spent = $525
Hence, money spent on food is $525
15% is spent on miscellaneous
Money spent on miscellaneous = 15% of $1500
Money spent = 15/100 × $1500
Money spent = $225
Hence, money spent on miscellaneous is $225
Now, adding all the three we get
$300 + $525 + $225
$825 + $225
$1050
Total money spent = $1050
Remaining money = $1500 - $1050 = $450
Remaining amount left with him is $450determine the coordinates of x-intercepts and y-intercepts
Answer:
Xin is when y=0
and
yin is when x=0
BRAINLIEST FOR THE RIGHT ANSWER! THANKS! Indicate in standard form the equation of the line through the given points, writing the answer in the equation box below.
P (0, -4), Q (5, 1)
Answer:
- X + Y = -4 is the standard form
Y =1X -4 is the slope intercept form
Step-by-step explanation:
x1 y1 x2 y2
0 -4 5 1
(Y2-Y1) (1)-(-4)= 5 ΔY 5
(X2-X1) (5)-(0)= 5 ΔX 5
slope= 1
B= -4
Y =1X -4
“Angle 7 and angle 8 are complementary. Angle 5 ≅ angle 8 and the measure of angle 6 = 29. Show your work to find the measure of angle 7 and 5.”
Based on the definition of complementary angles:
Measure of angle 7 = 29°
Measure of angle 5 = 61°
What are Complementary Angles?Complementary angles have a sum that is equal to 90 degrees. If two angles are complementary, then their sum = 90 degrees.
Angle 7 and angle 8 are complementary [given]
Angle 5 and angle 6 will also be complementary
Angle 5 ≅ angle 8 [given]
Angle 7 will also be congruent to angle 6
Measure of angle 6 = 29° [given]
Measure of angle 7 = 29°
Measure of angle 5 + measure of angle 6 = 90 degrees
Substitute
Measure of angle 5 + 29° = 90°
Measure of angle 5 = 90° - 29°
Measure of angle 5 = 61°
Therefore, based on the definition of complementary angles:
Measure of angle 7 = 29°
Measure of angle 5 = 61°
Learn more about complementary angles on:
https://brainly.com/question/16281260
#SPJ1
(03.03)
How does the graph of f(x) = (x – 9)^4-3 compare to the parent function g(x) =x^4?
Answer:
Step-by-step explanation:
The child graph is shifted 9 units to the right. That's what the nine does. The graph also shifts 3 units down when compared to g(x).
I have put a graph in so that you can see the shifts for yourself.
The red line is g(x) = x^4
The blue line is f(x) = (x - 9)^4 - 3
simplify each expression
Answer:
[tex] {x}^{ \frac{1}{2} } \times {x}^{ \frac{2}{3} } [/tex]
[tex] {x}^{ \frac{3 + 4}{6} } [/tex]
[tex] {x}^{ \frac{7}{6} } [/tex]
Solve for p.
8 − 4(2p − 2) = 7 + p + 9
p =
p = 0
Step-by-step explanation:[tex]8 - 4(2p - 2) = 7 + p + 9[/tex]
➡️ [tex]8 - 8p + 8 = 16 + p[/tex]
➡️ [tex]16 - 8p = 16 + p[/tex]
➡️ [tex] - 8p = p[/tex]
➡️ [tex] - 8p - p = 0[/tex]
➡️ [tex] - 9p = 0[/tex]
➡️ [tex]p = 0[/tex]
3/5 of the T-shirts and a T-shirt shop are blue 5/8 of those T-shirts are on sale 1/3 of the blue T-shirts that are on sale or size medium what fraction of the shops T-shirts are blue T-shirts that are on sale and are size medium
Answer:
yes their size is medium
Which of the following is the inverse of f (x) = 3 - 14x
In 2004 a certain oil company spent sh 1740000 on crude oil import .This was a 20%increase 0ver the money on crude oil import in 2003.
a) How much did the company spend on crude oil import in 2003.
b)What was the difference in the money spent on crude oil import in the two years?
Answer:
a = 1,450,000
b = 290,000
Step-by-step explanation:
A: 1,740,000 = x*1.20
1,740,000/1.2 = x1.20/1.20
1,450,000 = x
B: 1,740,000 - 1,450,000 = 290,000
Find a polynomial f(x) of degree 4 that has the following zeros. 2, 5, 0, -7
Answer:
Step-by-step explanation:
f(x) = (x - 2)(x - 5)x(x+ 7)
f(x) = (x^2 - 7x + 10)*x * (x + 7)
f(x) = x(x^3 - 39x + 70)
f(x) = x^4 - 39x^2 + 70x
To show that this is correct, I've made a graph with these points labeled. The graph is just around the x axis. The local maximums and minimums are just too large a value.
What is the answer to the problem
3+(-11)+8
Answer:
0
Step-by-step explanation:
3 + (-11) + 8
3 - 11 + 8
-8 + 8
0
Answer:
0
Step-by-step explanation:
As I write this Reiner is standing at my side. He knows this is a love letter but he’s still sneaking glances. Honestly it’s no wonder the creep is still single.
That said, he did give me his word that he’d deliver this letter to you. He says he owes me for the time I doubled back to save him.
I’m sorry about that. I never would have imagined myself choosing those two over you.
I’m gonna die soon,
but I’ll die without regrets.
Or that’s what I’d like to say.
Truth is, I do have one.
It's that I never got to marry you...
With love, Ymir.
8w-2=12w+6 both answers
Answer:
your answer is -2
I hope it's helps you
Answer:
[tex]8w - 2 = 12w + 6 \\ 8w - 12w = 6 + 2 \\ - 4w = 8 \\ w = \frac{8}{ - 4} \\ w = - 2[/tex]
I hope it helped U
stay safe stay happy
2f - 3(4f - 5g) + 5g + 7fg
Help pls how to solve it?
Step-by-step explanation:
2f - 3(4f - 5g) + 5g +7fg
multiply the 3 in
2f - 12f - 15g + 5g + 7fg
add or subtract common terms
-10f -10g +7fg will be your final answer
Answer:
Step-by-step explanation:
As the question did not say how to 'solve the question', I would assume it will be to simplify the equation, as there is no way of solving an expression without an answer.
Simplify:
2f - 3(4f-5g) + 5g +7fg
Get rid of the parentheses
2f - 12f - 15g + 5g +7fg
Simplify similar expressions
-10f - 10g + 7fg
Therefore, 2f - 3(4f-5g) + 5g +7fg simplified is equal to -10f - 10g + 7fg.
why are there three zeros in the product of 6 times 103
Answer:
There’s not
Step-by-step explanation:
It’s 618
(b+a)^2 ÷4 ; use a=-2, and b=4
Answer:
1
Step-by-step explanation:
(b + a)² ÷ 4 when a = -2 and b = 4
~Substitute
(4 + (-2))² ÷ 4
~Simplify
2² ÷ 4
4 ÷ 4
1
Best of Luck!
Answer:
1
Step-by-step explanation:
it is above in the photo.
6.55743... is an irrational number because it is an
a terminating decimal
a repeating decimal
a non-terminating and non-repeating decimal
a non-repeating decimal
a non-terminating decimal
Answer:
#3. a non-terminating and non-repeating
Step-by-step explanation:
6.55743... never ends and it never repeats either
Answer:
Not terminating but doesn't repeat either
Step-by-step explanation:
how I do this plzz help
Answer:
I also don't know because I did not read this chapter
Answer:
yes how can we do this i am also confusing
