Answer:
x³ + 5x² + 2x - 8
Step-by-step explanation:
1) Distribute
(x + 4) (x² + x - 2)
x(x² + x - 2) + 4 ( x² + x - 2)
2) Distribute
x(x² + x - 2) + 4 (x² + x - 2)
x³ + x² - 2x + 4 (x² + x - 2)
3) Distribute
x³ + x² - 2x + 4 (x² + x - 2)
x³ + x² - 2x + 4x² + 4x - 8
4) Combine like terms
x³ + x² - 2x + 4x² + 4x - 8
x³ + 5x² - 2x + 4x - 8
5) Combine like terms
x³ + 5x² - 2x + 4x - 8
x³ + 5x² + 2x - 8
lisa rides her bike 15.25 miles to and from her job each week. How many miles does she bike in all to and from work in 19.5 weeks?
Answer:
297.375 miles
Step-by-step explanation:
Since lisa rides 15.25 miles in 1 week and we are looking for how many miles she rides in 19.5 weeks, we must multiple 15.25 miles by 19.5 because she rides 15.25 miles, 19.5 times.
15.25*19.5=297.375
a
It takes 15 minutes to drain a pool containing
45 gallons of water. If a similar pool takes 35
minutes to drain at the same rate, how many
gallons of water are in the similar pool?
Answer:
there is 92.25
Step-by-step explanation:
15x2=30
then you have to find out 5% out of 45 because you need to get 35 not 30.
rewrite each equation in exponential form. log 100=2
Answer:
10x^{2} = 100Step-by-step explanation:
Use the definition of a logarithm, logb(x)=y ⟹ by=x, to convert from the logarithmic form to the exponential form.
Hopefully this helps you
- Matthew
A 2-cup bottle of glass cleaner costs $9.12. What is the price per fluid ounce
Answer:
$0.57
Step-by-step explanation:
In one cup there are eight fluid ounces
To find the cost per fluid ounce all you have to do is divide the price by how many ounces]
To find ounces= 2x8=16
To find price per ounce 9.12/16= .57
urgent help please! ^^ <3
Answer:
Lower quartile = 6
Median = 8
Upper quartile = 9
Step-by-step explanation:
If you take away a number from each end of the number set one by one, you will end up with 7 and 9 in the middle. To find the median between two numbers, add them together then divide them by 2.
7 + 9 = 16
16 ÷ 2 = 8
_________________
To find the lower and upper quartiles, split the number set into two where the median is, then, find the median of those two sections.
Lower quartile: 4, 5, 6, 6, 7
Median = 6
-
Upper quartile: 9, 9, 9, 9, 9
Median = 9
So, the median of the whole set is 8, the lower quartile is 6, and the upper quartile is 9.
hope this helps!
PLS HELP ME I NEED AN A I GIVE 50 POINTS
Answer:
The one on the left shows a proportional relationship between x and y.
Step-by-step explanation:
equation your going to use = y ÷ x or y/x (both mean divide)
2÷4 = 0.5
5÷10 = 0.5
6÷12= 0.5
All have the same answers so that makes it a proportional relationship.
Factor the binomial.
4z2 − 25
4z2 − 25 =
[tex]4z^2-25\\\\=(2z)^2-5^2\\\\=(2z+5)(2z-5)[/tex]
Which is the correct option, I’m very confused by this question?
sin2x=
Answer:
The answer is definitely Option A
Rewrite as a single logarithm: 3 log b x+4 log b y
Answer:
log_b x^3y^4
Step-by-step explanation:
see image
what is the product of mixed number 2 x 2 7/8?
Answer:
[tex]5\frac{3}{4}[/tex]
----------------------------------------------------------------------------------------------------------
Since we have to convert mixed numbers to fractions, [tex]2\frac{7}{8}[/tex] becomes [tex]\frac{23}{8}[/tex]
And for whole number, add a 1 as the denominator.
[tex]\frac{2}{1}[/tex]
Now, the equation becomes...
[tex]\frac{2~*~23}{1~*~8}[/tex]
[tex]2 * 23 = 46[/tex]
[tex]1 * 8 = 8[/tex]
Convert these two numbers to a fraction.
[tex]46~and~8~-- > ~\frac{46}{8}[/tex]
Simplify 46 over 8 and make it a mixed number.
[tex]\frac{46}{8} -- > 5\frac{3}{4}[/tex]
why is the denominator 4? we had to simplify 8 using its GCF along with 46
the GCF is 2, so simplify using 2. to simplify, divide the number by its GCF.
[tex]\frac{46}{2} = 23\\\\\frac{8}{2} = 4[/tex]
now you have [tex]\frac{23}{4}[/tex]
and that, in mixed number, translates to [tex]5\frac{3}{4}[/tex]
________________________________________________________
Questions?Ask in comments.
Ezekiel manages a clothing store. In May, sales were $129,800. In June, sales were $131,975. What was the rate of change?
The rate of change of the sles of the clothing store that Ezekiel manages from May to June is $2,175
What is the rate of change?
Subtraction is the mathematical operation that involves determining the difference between two or more numbers.
Rate of change = sales in June - sales in May
$131,975 - $129,800 = $2,175
To learn more about subtraction, please check: https://brainly.com/question/854115
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Patricia was having fun playing a card game. To win the game, she
needed the next two cards dealt to be yellow cards. There are 12
cards left in the deck, and three are[yellow.
What is the probability that the two cards dealt to Patricia will both
be yellow?
Answer:
25
%
Step-by-step explanation:
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The probability that the two cards dealt to Patricia will both be yellow
is 1/4.
What is the probability?In mathematics, probability refers to the likelihood of an occurrence occurring. Simply put, how frequently the incidence occurs over a certain period of time.
Given, there are 12 cards left in the deck, and three are yellow.
To find the probability:
The probability= number of yellow cards in the deck / total number of cards in the deck.
= 3/12
= 1/4
Therefore, the probability is 1/4.
To learn more about the probability;
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one day a store sells 14 pairs of jeans . The 14 jeans represents 20% of total number of items sold that day. How many items did the store sell in one day
Answer:
items sold in 1 day = 140
Step-by-step explanation:
14 pairs of jeans = 28 jeans total
the 14 "pair of jeans" repesents 20% of the total = x
28 = 20x/100
2800/20 = x
x = 140
Find the surface area of the cylinder. Round your answer to the nearest tenth.
. If you have a cube measuring 1 unit on
each side, how many of those cubes
would fit into a space 5 units by 5 units
by 5 units?
Answer:
cubes = (5)(5)(5)
number of cubes =125
to fit
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
227
Step-by-step explanation:
Since they give you the hypotenuse length of 290in and they ask you to find the length os the adjacent angle, use the cosine to find side b.
So you do tan38=b/290 then calculate.
The true answer is 226.5728 but they ask you to round.
Find the volume of the sphere. Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
Remark
All you need do is find the radius and put it into the formula V = (4/3) pi r^3.
Givens
d = 12 yards
r = d/2
Solution
r = 12 yds/2 = 6 yds
V = 4/3 pi r^3
V = 4/3 * 3.14 * 6*6*6
V = 904.32
Answer 904.4 yd^3
Help me with this math problem please
Answer:
First Option (-4,-3)
Step-by-step explanation:
x+2y=-10
-y=3x+15
-4+2(-3)=-10
-10=-10
-3=3(-4)+15
-3=-3
please help me it's urgent
Answer: go to the website
Step-by-step explanation:
Line /has a what slope.
1.negative
2.0
3.positive
4.undefined
What is the value of x
Answer:
your answer is 20.
Step-by-step explanation:
x^2+4^2=(2+x)^2
Efficiently solve
A. 30x70+37x70
B. 335x11-135x11
C. 223x87-123x87
D. 3.2x120+16.8x120
E. 555x0.08-545x0.08
F. 3.45x17-1.45x17
G. 0.7x0.7x85
Thanks so Much if you Help me!
Answer:
Step-by-step explanation:
A. 2100+2590= 4,690
B. 3685-1485=2,200
C. 19,401-10,701= 8,700
D. 384+2,016=2,400
E. 44.4-43.6=0.8
F. 58.65-24.65=34
G. 41.65
23) A movie theatre has 900 seats of which 15% are in the balcony. How many seats are NOT in the balcony?
A.
765
B.
90
C.
785
D.
875
Answer:
A.765 seats are not in the balcony
Step-by-step explanation:
if 15% are in the balcony then 85% are not in the balcony so..
900 * 0.85 = 765
Answer:
765
Step-by-step explanation:
900*.15=135
900-135 = 765
In the equation 4x4=16, 4 is a:
Answer:
4 is a factor
Step-by-step explanation:
thats what a number being multiplied is called
A standard number cube is tossed. Find P( greater than 3 or odd).
Answer:
Step-by-step explanation:
P= probablity
P (>3 or odd)
assuming this std. number cube is 1 to 6, then,
greater than 3 is 50%
so we've accounted for 1, 3, 4, 5, 6 on the dice what's left 2 :D
so P( >3 or odd) = 5/6 or 83.3333333333333%
Answergrater than 3
Step-by-step explanation:
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
e
is congruent with x f is congruent with x and g is congruent with y Step-by-step explanation:
angle E = angle X
angle F = angle Y
angle G = angle Z
hope it helps...!!!
Sophia invest money in an account paying simple interest. She invest 100$ and no money is added or removed from the investment. After one year, she has 108. What is the simple percent interest per year ?
Answer:
8%
Step-by-step explanation:
She earned 8 dollars on a 100 dollar investment
8/100 = 8%
The answer is 8%
What Is Simple Interest?Simple interest is an interest charge that borrowers pay lenders for a loan. It is calculated using the principal only and does not include compounding interest. Simple interest relates not just to certain loans. It's also the type of interest that banks pay customers on their savings accounts.
Given here: Principal as $100 and return as $108 and t=1
Thus 8=100×1×r /100
r=8%
Hence, The rate of interest is 8%
Learn more about simple interest here:
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If a marble is randomly chosen from a bag thay contains exactly 8 red marbles, 6 blue marbles, and 6 white marbles, what is the probability that the marble will not be white?
Answer: 7/10
Step-by-step explanation:
The probability of an event can be calculated as:
[tex]P(E)=\frac{n(F)}{n(T)}[/tex]
Where n(F) is favorable outcomes and n(T) is total possible outcomes.
The total number of marbles can be obtained as,
8 + 6 + 6 = 20
The probability of marble being white can be calculated as,
[tex]P(W)=\underline{\frac{6}{20}}[/tex]
Now, the probability of the marble not being white can be evaluated as,
[tex]\begin{aligned}P^{\prime}(W) &=1-\frac{6}{20} \\&=\frac{20-6}{20} \\&=\frac{14}{20} \\&=\frac{7}{10}\end{aligned}[/tex]
Therefore, the probability of the marble not being white is 7/10
What is the probability of landing on an odd number and then landing on a number greater than 7?
Answer:
72%
Step-by-step explanation:
Please see attached photo for problem from my homework set.
Answer: (x - 1)(x - 23)
Step-by-step explanation:
First, we can factor the x² part:
(x)(x)
Next, we will look at the -24x and +23
-> We need two numbers that multiply to 23 and add to -24
-> 23 is a prime number, so we will use 1 and 23
For -24, 1 and 23 must be added together. Since a negative times a negative is a positive, and a negative plus a negative is a positive, we will turn them into -1 and -23.
This gives us a final answer of:
(x - 1)(x - 23)
Answer: (x - 1)(x - 23)
Step-by-step explanation:
attached the picture below of the working...
hope that helps...