Answers
Answer:2x^2 + 7x - 30
Step-by-step explanation:
1. x(2x-3)(x+3)^2
2. x(2x-3)(x+10)
3. 2x^2+10x-3x-30
4. 2x^2+7x-30
Related Questions
Reese read twice as many pages Saturday than she read Sunday. If she read a total of 78 pages over the weekend, how many pages did Reese read Sunday?
Answers
Given:
Reese read twice as many pages Saturday than she read Sunday.
She read a total of 78 pages over the weekend.
To find:
The number of pages she read on Sunday.
Solution:
Let x be the number of pages she read on Sunday.
Reese read twice as many pages Saturday than she read Sunday. So, the number of pager she read on Saturday is 2x.
Total number of page she read over the weekend is:
[tex]Total=x+2x[/tex]
[tex]Total=3x[/tex]
She read a total of 78 pages over the weekend.
[tex]3x=78[/tex]
[tex]x=\dfrac{78}{3}[/tex]
[tex]x=26[/tex]
Therefore, Reese read 26 pages on Sunday.
What is the square root of 538?
Answers
Answer:
23.1948270095
Step-by-step explanation:
Dr. Comeaux decides to conduct a survey of her class to determine whether the number of breaks is sufficient for a three-hour class period. She assigns each of her 40 students a number and arbitrarily selects 20 using a computer program. Using the language of research methodology, Dr. Comeaux's sample is both a representative and a(n) _____ sample.
Answers
Answer:
Random and Representative.
Step-by-step explanation:
According to the Question,
Given That, Dr. Comeaux decides to conduct a survey of her class to determine whether the number of breaks is sufficient for a three-hour class period. She assigns each of her 40 students a number and arbitrarily selects 20 using a computer program. Using the language of research methodology, Dr. Comeaux's sample is both a Representative and Random sample.A(3,4) and B(-3,2) are pointd on a coordinate plane. find the coordinate of a points C on the x axis such that AC=BC
Answers
Answer:
Step-by-step explanation:
Here's the game plan. In order to find a point on the x-axis that makes AC = BC, we need to find the midpoint of AB and the slope of AB. From there, we can find the equation of the line that is perpendicular to AB so we can then fit a 0 in for y and solve for x. This final coordinate will be the answer you're looking for. First and foremost, the midpoint of AB:
and
Now for the slope of AB:
and
So if the slope of AB is 1/3, then the slope of a line perpendicular to that line is -3. What we are finding now is the equation of the line perpendicular to AB and going through (0, 3):
and filling in:
y - 3 = -3(x - 0) and
y - 3 = -3x + 0 and
y - 3 = -3x so
y = -3x + 3. Filling in a 0 for y will give us the coordinate we want for the x-intercept (the point where this line goes through the x-axis):
0 = -3x + 3 and
-3 = -3x so
x = 1
The coordinate on the x-axis such that AC = BC is (1, 0)
Question 9 of 10 What is the slope of the line shown below? A. 4 B.-1/4 C.1/4 D.-4
Answers
Answer:
c = 1/4
-1-1 = -2
-3-5 = -8
Step-by-step explanation:
solve for x. Round to the nearest tenth, if necessary.
Answers
Answer:
7.1
Step-by-step explanation:
We used SOHCAHTOA because it's a right angle triangle
So because we have an angle with an adjacent of 6.3 and hypotenuse of x
We will use
Cos=adjacent /hypotenuse
Which is equivalent to 2^5?
Answers
Answer:
Are there certain options?
Step-by-step explanation:
2^5 is in other words 2x2x2x2x2
the answer to this is 32
Hope I helped?
Answer:
32
Step-by-step explanation:
write additive inverse of a) 21/18 b) -2/8
Answers
Answer:
a) [tex]-\frac{21}{18}[/tex], b) [tex]\frac{2}{8}[/tex].
Step-by-step explanation:
Let be [tex]u[/tex] a real number, its additive inverse is a real number [tex]v[/tex] so that:
[tex]u+v = 0[/tex]
That is,
[tex]v = - u[/tex] (1)
Then, the additive inverses of [tex]\frac{21}{18}[/tex] and [tex]-\frac{2}{8}[/tex] are, respectively:
a) [tex]-\frac{21}{18}[/tex], b) [tex]\frac{2}{8}[/tex].
PLEASE ANSWER ASAPPP
Answers
Answer:
the answer is 2035.75 cm³
Step-by-step explanation:
comment if you want explanation
what is 3 to the power of -2
Answers
Answer:
Step-by-step explanation:
To make a negative exponent positive, you have to put the term the exponent is on under a 1.
[tex]3^{-2}=\frac{1}{3^2}=\frac{1}{9}[/tex]
Intercept Form
Point (-3,4)
Slope 5/3
m= b=
Answers
Answer:
y = 5/3x + 9
Step-by-step explanation:
y = 5/3x + b
4 = 5/3(-3) + b
4 = -5 + b
9 = b
Pls help, I will give 50 points
Answers
Tess rolls 2 fair dice.
What is the probability of obtaining two 4's?
Answers
Answer:
1/36
Step-by-step explanation:
Since Tess rolled 2 different dices, there are 36 different possibilities. Rolling two 4's is 1 of them.
Therefore, the probability of Tess rolling 2 fair dice is 1/36
Hope this helped have a great rest of your day!
Answer:
1 out of 36 chance because add what a dice equals to then divide
What is the area of this figure
Answers
Answer:
247 yd²
Step-by-step explanation:
this figure can be "split" into 3 sub-figures.
2 rectangles and one triangle "at the top".
these 3 areas can be easily calculated, and the we simply sum them all up, and that is the total area.
my approach is to pick the first rectangle to be the one extruding one to the right.
R1 = 11×5 = 55 yd²
the second rectangle is then the rest of the"straight" area up to the beginning of the triangle top
R2 = 8 × (13+5) = 8×18 = 144 yd²
and the area of a triangle is
baseline × height / 2
we can clearly see in our example, it is a right-angled triangle, so the left side is also the height, which is the remainder of the long side of the original figure, when we deduct all the other parts we used for the rectangles.
so, we have
T = 8 × (30 - 5 - 13) / 2 = 8×12/2 = 8×6 = 48 yd²
so, in total we have
F = 55 + 144 + 48 = 247 yd²
The length of a rectangle is twice its width the perimiter is 60 ft find its area
Answers
Hello,
let's assume a=the length and b the width.
[tex]\left\{\begin{array}{ccc}a&=&2*b\\2(a+b)&=&60\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}a&=&2*b\\a+b&=&30\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}a&=&2*b\\3b&=&30\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}b&=&10\\a&=&20\\\end{array}\right.\\\\\\Area=10*20=200\ (ft^2)\\[/tex]
David is now 4 years more than twice the age of Henry. If Henry will be 18 in 3 years, how old was David 2 years ago?
Answers
Answer:
i think its 10.5
Step-by-step explanation:
Answer:
David was 32 two years ago
Step-by-step explanation:
D = 2H + 4
H = 15
D = 30+4
D = 34
David was 32 two years ago
Draw graph for equation 0.25x+0.50y<3
Answers
I have a lot of algebra problems. Someone help me even with this one please!
Answers
Answer: Choice A
L = 65 - 15d; discrete
===============================================
Explanation:
He starts with 65 cm of bread. After the first day he has 65-15 = 50 cm left over. After the second day he has 65-15*2 = 35 cm left over, and so on.
In general, he has 65-15d centimeters left over after d number of days have elapsed. For example, if d = 3 days pass by, then he has 65-15d = 65-15*3 = 65-45 = 20 cm left over.
So that's why the equation we're after is L = 65-15d where d is the number of days, and L is the amount left over in cm.
The number of days is discrete because we're dealing with the set of nonnegative numbers {0,1,2,3,4,...}. We can't have d = 2.5 for instance.
Because the input variable d is discrete, this automatically means L is discrete as well. Consider a finite domain such as {0,1,2,3}. This finite domain would map to the finite range {65,50,35,20}. These two finite sets are sufficient to say we have a discrete function.
A discrete function leads to a discrete graph which is simply a set of points. You would not connect the dots to form a straight line (simply leave the points as separate islands).
3,369,090 divided by 56
Answers
Answer:
60162.3214286
Step-by-step explanation:
that's just what my calculator said
Tegan is checking her tax bill for the last year.
The tax rates were as follows:
• No tax on the first £11 000 of earnings
• Earnings in excess of £11 000 and up to £43 000 taxed at a rate of 20%
• Earnings in excess of £43000 and up to £150 000 taxed at a rate of 40%
• Earnings over £150 000 taxed at a rate of 45%
Last year, Tegan earned £48 300 before tax.
How much tax did she pay in total?
Answers
Answer:
£8520
43000-11000=32000
20/100×32000
£6400
48300-43000=5300
40/100×5300=2120
£8520
The ratio of keepers to animals in the city zoo is 2 : 7. The table shows the current numbers of animals and keepers in the zoo. If 21 more animals are added, how many total keepers are needed to maintain the ratio of keepers to animals?
City Zoo
Number of Keepers Number of Animals
12 42
Answers
Answer:
18
Step-by-step explanation:
42+12= 63
63/7=9
9*2=18
Answer:
18
Step-by-step explanation:
plato/edmentum
The third National Health and Nutrition Examination Survey collected body fat percentage (BF%) and gender data from 13,601 subjects ages 20 to 80. The average BF% for the 6,580 men in the sample was 23.9, and this value was 35.0 for the 7,021 women. The standard error for the difference between the average men and women BF%s was 0.114. Do these data provide convincing evidence that men and women have different average BF%s. You may assume that the distribution of the point estimate is nearly norma
Answers
Answer:
Yes, the data provides convincing evidence that men and women have different average BF%s
Step-by-step explanation:
The given parameters are;
The number of the subjects ages 20 to 80 = 13,601
The body fat percentage, BF%, for the 6,580 men, [tex]\overline x_1[/tex] = 23.9
The body fat percentage, BF%, for the 7,021 women, [tex]\overline x_2[/tex] = 35.0
The standard error for the difference between the average men and women = 0.144
The null hypothesis, H₀; [tex]\overline x_1[/tex] = [tex]\overline x_2[/tex]
The alternative hypothesis, Hₐ; [tex]\overline x_1[/tex] ≠ [tex]\overline x_2[/tex]
The test statistic = (35.0 - 23.9)/(0.114) = 97.368
Therefore, given that the z-test is larger than the critical-z, we reject the null hypothesis, H₀, therefore, there is convincing statistical evidence to suggest that men and women have different body average BF%
resuelve:
25+40-(6-4)+(8-9)
Answers
Answer:
la respuesta sería 62, escribo esto por que me está obligando la aplicación :v
which line has an undefined slope??
Answers
Answer:
A
Step-by-step explanation:
A vertical line has an undefined slope
Line A is a vertical line
Bus A and Bus B leave the bus depot at 7 am.
Bus A takes 30 minutes to complete its route once and bus B takes 50 minutes to complete its route once.
If both buses continue to repeat their route, at what time will they be back at the bus depot together?
Assume the buses have no breaks in between routes.
Give your answer as a 12-hour clock time.
Answers
Answer:
9:30 am
Step-by-step explanation:
We can make a chart and keep filling it in until we see the same time in both columns.
Bus A Bus B
7:00 7:00
7:30 7:50
8:00 8:40
8:30 9:30
9:00 10:20
9:30
Answer: 9:30 am
We can also use the least common multiple of 30 and 50.
We need to find the smallest number that is a multiple of both 30 and 50.
30 = 2 * 3 * 5
50 = 2 * 5^2
LCD = 2 * 3 * 5^2 = 150
The first time the buses will be at the depot together after 7:00 am is 150 minutes later. 150 minutes = 2 hours 30 minutes.
7:00 am + 2 hours and 30 minutes = 9:30 am
Answer: 9:30 am
Answer:
they never get back together bus b is always behind
Step-by-step explanation:
Ali sold some cakes at a cake sale.
The cakes are chocolate, lemon or vanilla flavoured.
The cakes are either large or small.
complete the two way table
Answers
Answer:
vanilla small= 14
lemon large= 25
Step-by-step explanation:
total= 120
120÷3= 40
each of flavoured cake have 40
lemon= 40 - 26= 14
vanilla= 40- 15= 25
What is the vertex of the parabola?
y - 3 = 1/2 (x + 5)²
( __ , __ )
Answers
Answer:
(-5,31/2)
Step-by-step explanation:
open bracket
y=1/2x^2+5x+28
compare with y=ax2+bx+c
use formula (-b/2a,4ac-b2/4a)
Ronald brought a jacket on Friday that had original price if $45. It was on sale at 10% off its original price. Which formula shows what Ronald paid after 7% sales tax was added?
A. 1.07(45-10)
B. 1.03(45)
C. 1.07(45-45(.1))
D. 1.1(45-45(.7))
Answers
Help pls. I give all points i have
Answers
Answer:
100 cm so .............qsuw
a. 12.3
b. 8.1
c. 0.1
Answers
Answer:
a
Step-by-step explanation:
tan(39⁰)= opposite ÷ adjacent
0.8097= 10 ÷ x
X = 10 ÷ 0.8097
X = 12.3
