Answers
Answer:
1. factored form is - 5/2, 3, 2 solutions 2. - 1/2 , -5 2 solutions 3. -2, 3 2 solutions 4. -2 , 5, 2 solutions
Step-by-step explanation:
Question 1:
[tex]2x^{2} -x-15=0\\(2x+5)(x-3)=0[/tex]
Solutions are x = -5/2 and 3
Question 2:
[tex]2x^2+11x =-5\\2x^2 + 11x +5 = 0\\(2x+1)(x+5)= 0[/tex]
Solutions are x = -1/2 and x =-5
Question 3:
[tex]x^2-x-6=0\\(x-3)(x+2)=0[/tex]
Solutions are x = 3 and -2
Question 4
[tex]x^{2} -3x-10 = 0\\(x-5)(x+2)=0[/tex]
Solutions are x = 5 and x = -2
Related Questions
The circumference of the Earth model at the Globe Arena is 56.52 centimeters. What is
the volume of the Earth model?
A. 9156.24 cubic cm
B. 339.12 cubic cm
C. 3052.08 cubic cm
D. 1017.36 cubic cm
Answers
Answer:
3052 cm^3 (Answer C)
Step-by-step explanation:
The formula for the circumference of a circle of radius r is C = 2(pi)(r). We know that C = 56.52 cm and want to find the model's radius:
C 56.52 cm
Solving for r, we get ---------- so that in this case r = ------------------ or
2(pi) 6.28
r = 9 cm.
The formula for the volume of a sphere of radius r is V = (4/3)(pi)(r^3), which here comes out to:
V = (4/3)(3.14)(9 cm)^3 = 3052 cm^3 (Answer C)
The principal at miller street school has 12 packs of new pencils
Answers
Answer: 4
Step-by-step explanation:
Simply divide 12 by 3 because it states she will give 3 to every class,
12/3=4!
Leia wants to buy a jacket that is $45.00. It's on
sale for 22% off. How much will Leia be paying for
the jacket?
Answers
Answer:
$35.10
Step-by-step explanation:
The discount amount is subtracted from the original price to find the discounted price. That math can be done a couple of different ways.
discount = discount rate × original price
sale price = original price - discount
Or, these equations can be combined:
sale price = original amount × (1 - discount rate)
__
Using the latter equation, we get ...
sale price = $45.00 × (1 - 0.22) = $45.00 × 0.78 = $35.10
Leia will be paying $35.10 for the jacket.
A catering company provides packages for weddings and for showers. The cost per person for small groups
is approximately Normally distributed for both weddings and showers. The mean cost for weddings is $82.30
with a standard deviation of $18.20, while the mean cost for showers is $65 with a standard deviation of
$17.73. If 9 weddings and 6 showers are randomly selected, what is the probability the mean cost of the
weddings is more than the mean cost of the showers?
O 0.0022
O 0.0335
O 0.9665
O 0.9978
Answers
Using the normal distribution and the central limit theorem, it is found that the probability the mean cost of the weddings is more than the mean cost of the showers is of 0.9665.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].When two variables are subtracted, the mean is the subtraction of the means, while the standard error is the square root of the sum of the variances.What is the mean and the standard error of the distribution of differences?For each sample, they are given by:
[tex]\mu_W = 82.3, s_W = \frac{18.2}{\sqrt{9}} = 6.0667[/tex]
[tex]\mu_S = 65, s_S = \frac{17.73}{\sqrt{6}} = 7.2382[/tex]
For the distribution of differences, we have that:
[tex]\mu = \mu_W - \mu_S = 82.3 - 65 = 17.3[/tex]
[tex]s = \sqrt{s_W^2 + s_S^2} = \sqrt{6.0667^2 + 7.2382^2} = 9.4444[/tex]
The probability the mean cost of the weddings is more than the mean cost of the showers is P(X > 0), that is, one subtracted by the p-value of Z when X = 0, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0 - 17.3}{9.4444}[/tex]
[tex]Z = -1.83[/tex]
[tex]Z = -1.83[/tex] has a p-value of 0.0335.
1 - 0.0335 = 0.9665.
More can be learned about the normal distribution and the central limit theorem at https://brainly.com/question/24663213
Rewrite each algebraic expression with as few terms as possible using the Commutative and Associative Properties. (2x - 2y) + (5x + 7y)
Answers
Answer:
probably 7x + 5y
Step-by-step explanation:
Answer: 7x + 5y
Step-by-step explanation: You combine the like terms so you would add 2x and 5x to get 7x-2+7y. Then you combine the other like terms so subtract -2y and 7y (You are subtracting because a negative and a positive is a negative).
I hope this helps :)
Tommy has 5 jars of marble. Each Jar is filled 2/3 with marbles. How many full Jars does tommy have? Make a model and shade in the model and complete the calculation.
Calculation: 5x 2/3= Blank/3 =______
Answers
5 / ( 2 / 3 ) = 7.5
7 full jars
hey everyone can you help me sort out this problem, answer is 10°
Answers
(Combine like terms)
8a+10=90
-10 -10
8a = 80
8a/8 = 80/8
A=10
Answer:
So here we have 3 adjacent angles, and add them all up they would equal a right angle as shown in the diagram.
POT is the right angle which can be seen by the square
POQ is the first angle
QOS is the second
SOT is the third
Now solve it.
We know that it has to be equal to 90 since thats the final reasoning.
4a + 20 + 3a - 10 + a = 90
Solve.
So you’d get 10.
If you want to elaborate then just say all adjacent angles has to add put o 90 since
Decide which of the following is a reasonable answer for
Answers
Answer:
[tex]9 \frac{4}{5} [/tex]
Step-by-step explanation:
[tex] \frac{7}{5} \times 7 = \frac{7}{5} \times \frac{7}{1} [/tex]
[tex] \frac{7}{5} \times \frac{7}{1} = \frac{49}{5} = 9 \frac{4}{5} [/tex]
The houses in a row are numbered consecutively from 1 to 49. Show that there exists a value of x such that the sum of numbers of houses preceding the house numbered x is equal to sum of the number of houses following x.
Don't Spam
Answers
Answer:
Number of the houses as x =35
Step-by-step explanation:
The number of houses is 1, 2, 3, ..., 49
By observation, the numbers of houses are in an A.P.
Hence
First-term, a = 1
Common difference, d = 1
Let us assume that the number of xth house can be expressed as below:
We know that sum of n terms in an A.P. is given by the formula Sₙ = n/2 [2a + (n - 1) d]
Sum of number of houses preceding xth house = Sₓ ₋ ₁
Sₓ ₋ ₁ = (x - 1) / 2 [2a + ((x - 1) - 1)d]
= (x - 1) / 2 [2 × 1 + ( x - 2) × 1]
= (x - 1) / 2 [2 + x - 2]
= [x (x - 1)] / 2 ---------- (1)
By the given information we know that, sum of number of houses following xth house = S₄₉ - Sₓ
S₄₉ - Sₓ = 49 / 2 [2 × 1 + (49 - 1) × 1] - x / 2 [2 × 1 + (x - 1) × 1]
= 49 / 2 [2 + 48] - x / 2 (2 + x - 1)
= (49 / 2) × 50 - (x / 2) (x + 1)
= 1225 - [x (x + 1)] / 2 ---------- (2)
It is given that these sums are equal, that is equation (1) = equation(2)
x (x - 1) / 2 = 1225 - x (x + 1) / 2
x² / 2 - x / 2 = 1225 - x² / 2 - x / 2
On solving further we get,
x² = 1225
x = ± 35
As the number of houses cannot be a negative number, we consider the number of houses as x = 35
35 is the correct answer
Step-by-step explanation:
Given that the houses in a row are numbered consecutively from 1 to 49. We need to show that there exists a value of x such that the sum of numbers of houses preceding the house numbered x is equal to sum of the number of houses following x. Making it more simple for you; sum of (1, 2, 3, 4.... upto x - 1) is equal to sum of (x + 1), (x + 2), (x + 3).... upto 49.
→ Sum of (x - 1) terms = Sum of (49 - x) terms
"x" is the number of houses required. The sum of houses are in AP where the value of a is 1 and d is also 1; where 'a' is first term and 'd' is common difference. We know that sum of nth term of an AP is given by: T(n) = a + (n - 1)d and upto nth term by S(n) = n/2 (2a + (n - 1)d). And also by T(n) = S(n) - S(n - 1).
As per given problem:
→ (x - 1)/2 (Sum of first and last term) = (49 - x)/2 (Sum of first and last term)
→ (x - 1)(Sum of first and last term) = (49 - x) (Sum of first and last term)
Where first term and last term in LHS is 1 and (x - 1) & in RHS is (x + 1) and 49. Substitute them.
→ (x - 1) (1 + (x - 1)) = (49 - x) ((x + 1) + 49)
→ (x - 1) (1 + x - 1) = (49 - x) (x + 1 + 49)
→ (x - 1) (x) = (49 - x) (x + 50)
→ x² - x = 49x + 2450 - x² - 50x
On solving we get,
→ 2x² - 2450 = 0
→ 2x² = 2450
→ x² = 1225
→ x = ± 35
The number of houses is a positive integer. So negative value neglected. We left with x = 35. Therefore, the value of x is 35.
The area of a rectangular field is 6916 m² if the length of the field is 91 m what is it width?
Answers
Answer:
76 m^2
Step-by-step explanation:
Area of a rectangle is width*height. So to find width we will do area/height.
What is the product? startfraction 4 n over 4 n minus 4 endfraction times startfraction n minus 1 over n 1 endfraction startfraction 4 n over n 1 endfraction startfraction n over n 1 endfraction startfraction 1 over n 1 endfraction startfraction 4 over n 1 endfraction
Answers
The product of the two terms [tex]\dfrac{4n}{(4n-4)} \times \dfrac{(n-1)}{(n+1)}[/tex] is [tex]\dfrac{n}{(n+1)}[/tex].
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25.
The product of the two fractions can be written as,
[tex]\dfrac{4n}{(4n-4)} \times \dfrac{(n-1)}{(n+1)}[/tex]
Taking 4 as the common term from both numerator and denominator of the first fraction, therefore,
[tex]\dfrac{4n}{4(n-1)} \times \dfrac{(n-1)}{(n+1)}\\\\=\dfrac{n}{(n-1)} \times \dfrac{(n-1)}{(n+1)}\\\\[/tex]
Now, cancelling the common factor from the numerator and the denominator, we will get,
[tex]=\dfrac{n}{(n-1)} \times \dfrac{(n-1)}{(n+1)}\\\\\\=\dfrac{n}{(n+1)}[/tex]
Hence, the product of the two terms [tex]\dfrac{4n}{(4n-4)} \times \dfrac{(n-1)}{(n+1)}[/tex] is [tex]\dfrac{n}{(n+1)}[/tex].
Learn more about Fraction:
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THIS IS NOT A QUESTION! THE PPL THAT ANSWERED THIS QUESTION WAS WRONG!!
SO THESE ARE THE CORRECT ANSWERS. I GOT 100%
Line segment L N is tangent to circle O at point M and QM is a diameter.
Circle O is shown. Line segment Q M is a diameter. Line segments P M and Q R are secants. Line segment N L is a tangent and intersects the circle at point M. Angle P M O is 27 degrees and angle M Q R is 42 degrees.
Determine the measure of the following angles.
The measure of ∠QML is degrees.
The measure of ∠PMN is degrees.
Answers:
1. 90
2. 24
Answers
Ok, good job for posting the answer
Answer:
For me it says pmn is 63 degrees
Step-by-step explanation:
[Statistics] Which of the following statements about power are true?
I. Power = P(Type II Error).
II. An increase in sample size increases power
III. A test with higher power is more likely to reject false null hypothesis.
(a) I only
(b) II only
(c) I and II
(d) I and III
(e) I, II, and III
Answers
The statements about the power that is true include E. I, II, and III.
What is power?Power simply means the amount of energy that is transferred or converted per unit time.
It should be noted that an increase in sample size increases power and a test with a higher power is more likely to reject false null hypothesis.
Increasing sample size will make the hypothesis test more sensitive and thus more likely to reject the null hypothesis. Thus, it increases the power of the test.
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Please Help me out!
What is the measure of angle C?
Answers
3x/3 + 6/3 and then cancel 3x/3 and you get 2
Fuji apples cost $3.00 per pound, and Golden Delicious apples cost $2.00 per pound. A childcare center purchases 30 pounds of a combination of the two types of apples for a total of $80.
A table titled Apples showing Pounds, Cost per Pound and Total. The first row shows Fuji and has 30 minus g, 3, and x. The second row shows Golden Delicious, and has g, 2, and blank. The third row shows Total, and has 30, blank, 80.
Which value could replace x in the table?
30 – g + g
3(30 – g)
30 – g(3)
Answers
Answer:
the answer is $16
Step-by-step explanation:
Answer:
here u go the answer is $16
Step-by-step explanation:
NEED HELP ASAP EASY 10 POINTS
Answers
Answer:
2x+3
Step-by-step explanation:
factor into [tex](2x+3)^{2}[/tex]
then square root it [tex]\sqrt{(2x+3)^{2} }[/tex]
We know that,
[tex]{ \longrightarrow \bf \qquad \: {(a + b)}^{2} = {a}^{2} + 2.a.b + {b}^{2} }[/tex]
Solution :
[tex]{ \longrightarrow \sf \qquad \: {4x}^{2} + 12x + 9 }[/tex]
We can also write it as,
[tex]{ \longrightarrow \sf \qquad \: {4x}^{2} + 12x + {3}^{2} }[/tex]
Now, using the formula, we'll solve the expression.
[tex]{ \longrightarrow \sf \qquad \: {2x}^{2} + 2.2x.3 + {3}^{2} }[/tex]
[tex]{ \longrightarrow \sf \qquad \: (2x + 3)^{2} }[/tex]
Since,
Area = (side)²Therefore,
The Length of one side is (2x + 3) .Factorisation of 3p^3 + 9p^2- 15pq
Answers
Answer:
STEP 1:Equation at the end of step 1 ((3 • (p3)) + 32p2) - 210p
STEP 2 :Equation at the end of step 2: (3p3 + 32p2) - 210p
STEP 3:STEP 4:
Pulling out like terms 4.1 Pull out like factors : 3p3 + 9p2 - 210p = 3p • (p2 + 3p - 70)
Trying to factor by splitting the middle term 4.2 Factoring p2 + 3p - 70 The first term is, p2 its coefficient is 1 .The middle term is, +3p its coefficient is 3 .The last term, "the constant", is -70 Step-1 : Multiply the coefficient of the first term by the constant 1 • -70 = -70 Step-2 : Find two factors of -70 whose sum equals the coefficient of the middle term,
which is 3 . -70 + 1 = -69 -35 + 2 = -33 -14 + 5 = -9 -10 + 7 = -3 -7 + 10 = 3 That's itStep-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and 10 p2 - 7p + 10p - 70
Step-4 : Add up the first 2 terms, pulling out like factors : p • (p-7) Add up the last 2 terms, pulling out common factors : 10 • (p-7)Step-5 : Add up the four terms of step 4 : (p+10) • (p-7) Which is the desired factorization
Final result : 3p • (p + 10) • (p - 7)
Step-by-step explanation:
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O GRAPHS, FUNCTIONS, AND SEQUENCES
Finding slope given two points on the line
Find the slope of the line passing through the points (5, -8) and (4, -1).
O
Answers
(-1- -8)/(4-5) = 7/-1 = -7
-7 is the slope
Find the error in this and then solve it correctly
Answers
Answer: m<D = 30
Step-by-step explanation: In the third step of the problem, it says that E is next to itself and equals 90. However, this is not true. Angle BEA and angle CED are vertical angles and are both equal to 65°. This means that to find the measurement of angle D, subtract 65 and 85 from 180, which equals 30.
How much sales tax would you pay on a bike that costs $225 and sales tax is 5.3%?
Answers
Hope this helps
Find the equation of a circle whose center is at (2, 3) and radius is 6.
Answers
Step-by-step explanation:
2×3=6 I think it's like this
y^2-4xy-7y+28x please send the answer asap
Answers
Answer:
= (y - 4x) (y - 7)
Step-by-step explanation:
y^2-4xy-7y+28x
--
factor out y from y^2 - 4x : y(y - 4x)
factor out 7 from 28x - 7y : 7(4x - y)
= y (y - 4x) + 7(4x - y)
7 (4x - y) + 7(y - 4x)
= y (y - 4x) - 7(y - 4x)
= (y - 4x) (y - 7)
Please help me I need help
Will mark BRAINLIEST
Answers
Explanation: When expanding the units with -1 they either didn’t carry the negative or didn’t change to a positive
the radius of a circle is 7cm. Find the circumference of the circle. Use 22/7 for pi
Answers
Answer:
Hi I'm learning the same thing and I just got it I think it's C=43.98cm
Please help I don’t understand these problems
Answers
Answer:
5x +9 is the least common denominator
Step-by-step explanation:
PLEASE HELP PLEASE HELP PLEASE HELP IM BEGGING PLEASE HELP PLEASE HELP!!!
Answers
Answer:
a) 390
b) 239
c) 151
Step-by-step explanation:
a) 30 + 15 + 45 + 300 = 390
b) 160 + 30 + 9 + 40 = 239
c) 390 (income) - 249 (expenses) = 151 pounds (profit)
21 – 3x = 6
3
21 – 3(
x
) = 6?
-3x
= 6?
Answers
Answer:
x = 5
Step-by-step explanation:
21 - 3x = 6
21 - 6 = 3x
15 = 3x
5 = x
therefore x=5
At a shelter 15% of the dogs are puppies there are 60 dogs at the shelter. How many are puppies?
Answers
Explanation:
One method is to do the steps like this
15% of 60 = 0.15*60 = 9
Or you can solve like this
part/whole = percent/100
x/60 = 15/100
100x = 60*15
100x = 900
x = 900/100
x = 9
A sociologist recorded the estimated life expectancies of women born in Center City. Use the data from women born in 1970 and 2000 to create a linear model that predicts the life expectancy, in years, (y) of a female born in a given year (x). Year Born Life Expectancy (years) 1960 66. 1 1970 67. 6 1980 70. 1 1990 71. 9 2000 74. 0 2010 75. 9 Which equation represents this linear model? y = 0. 213x – 352. 7 y = 0. 213x – 358. 4 y = 4. 695x – 9181. 6 y = 4. 695x – 9322. 4.
Answers
[tex]Y=0.213x-352[/tex] will represent this linear model shown in the data table.
What will be the linear model for the given data?Put the values of the x in the all given equations and then check the value of y if the value of y matches the given values in the option
So if we put the value x=1980 in the [tex]Y=0.213x-352[/tex] then
[tex]Y=0.213(1980)-352[/tex]
[tex]Y=69.74[/tex]
These values are closest to 70.1 whereas other options do not satisfy the condition.
Thus [tex]Y=0.213x-352[/tex] will represent this linear model shown in the data table.
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Mrs. Feiner gets 80% right on a quiz with 20 questions.
How many questions does she get right?
A. 15
B. 16
c. 18
D.19
Answers
16 answer correct
80×20
_______. =16
100
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