Answers
9514 1404 393
Answer:
(c) factoring and the zero-product principle
Step-by-step explanation:
Factoring is always an efficient method of solving a quadratic, if it has nice integer factors that can be easily identified. Here, the two prime factors of 35 have a sum of 12, so the factored form is easily found to be ...
(x +5)(x +7) = 0
This basically shows you the solutions are x=-5 and x=-7 "by inspection" in one step.
By contrast, the quadratic formula has 4 multiplications, a division, a square root, and 3 additions. That's a significant amount of arithmetic to get to the answers.
Factoring is the most efficient way to solve this quadratic.
Related Questions
Use the drop-down menus to choose steps in order to correctly solve
4k−6=−2k−16−2 for k.
Answers
Answer:
down menus to choose steps in order to correctly solve
down menus to choose steps in order to correctly solve4k−6=−2k−16−2 for k.
Anw.
-2
ep.
4k - 6 = -2k - 16 -2
4k - 6 = -2k - 18
4k - 6 + 2k = -18
4k - 2k = -18 + 6
6k = -18 + 6
6k = -12
k = -2
Chalondra buys a dress that costs $28.00. She pays 5% sales tax. How much does she pay for the dress, with tax? A. $1.40 O B. $26.60 O C. $33.00 D. $29.40
Answers
Answer:
29.40
Step-by-step explanation:
5% of 28.00 is 1.40, so 28.00 + 1.40 =29.40
Answer:
D
Step-by-step explanation:
Find a10, for the geometric sequence an = 3(4)^n-1.
A. 262,144
B. 786,432
C. 1,048,579
D. 3,145,728
Answers
less than a number
Х
A, 12-x
B. 12x
C. X + 12
D. X-12
Answers
Answer:
D) X-12
Step-by-step explanation:
imagine that X = 2 or any number less than 12
A) 12 - X = 12 - 2 = 10
B) 12X = 12 ×2 = 24
C) X + 12 = 2 + 12 = 14
D) X - 12 = 2 - 12 = -10
So, the smallest number is (D)
Hope it's help.
PLZZZZZ HELP THIS IS DUE BY 8:00.Fred is trying to earn $35 to buy a basketball. He has saved $11.25. He earns $2.25 per hour doing yard work for his neighbor, and he earns $7.25 per hour selling sunglasses at the mall. Will Fred have enough to buy the basketball if he works in the yard for 2 hours and at the mall for 3 hours? Use the inequality 2.25y + 7.25z + 11.25 ≥ 35.
No, because the total will be $58.75.
No, because the total will be $21.25.
Yes, because the total will be $37.50.
Yes, because the total will be $26.25.
Answers
Answer:
the answer is d (the last one)
Step-by-step explanation:
2.25 * 2 = 4.5
+
7.25 * 3 = 21.75
= 26.25
he needs 35, so it's not enough
Graph the number on the number line. Then use your number line to find the
absolute value.
-3
10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3
O
-3
4 5 6 7 8 9 10
?
The absolute value of -3 is
Answers
Answer:
3
Step-by-step explanation:
The opposite of -3 is 3.
The figure shows a utility pole with an electrical line and a telephone line.
The angled wire is a tension wire.
Complete the table: for each angle pair given, identify the transversal and classify the angle pair. (Hint: Think of the utility pole as a line for these problems.)
Note: I’ll give you a lot of points for this
Answers
Answer:
Step-by-step explanation:
The heights of male seniors in high school closely follow a normal distribution N(µ,σ) = N(70.5,2.6) , where the units are inches. a) If we randomly sample the heights of five male seniors, what distribution should the sample mean follow? Give your answers to two decimal places.
Answers
The sample will also be normally distributed, with same mean as the population, so µ = 70.5, but the standard deviation would be divided by the square root of the sample size, so σ = 2.6/√5 ≈ 1.16.
N(70.5, 1.16)
The sample will also be normally distributed, with the same mean as the population(µ = 70.5) and the standard deviation of 1.16 inches.
What is a normal distribution?A normal distribution is a probability distribution that is used to represent events with a default behaviour and accumulated potential departures from it.
As it is given that the heights of male seniors in high school closely follow a normal distribution N(µ,σ) = N(70.5,2.6), where the units are inches.
Therefore, the mean will be the same (µ = 70.5), but the standard deviation for the sample size of the heights of five male seniors, can be written as,
[tex]s=\dfrac{\sigma}{\sqrt n} = \dfrac{2.6}{\sqrt5} = 1.16[/tex]
Hence, The sample will also be normally distributed, with the same mean as the population(µ = 70.5) and the standard deviation of 1.16 inches.
Learn more about Normal Distribution:
https://brainly.com/question/12421652
1/5(x + 0.5) + 5.24 = 3/2x + 7/10(x + 2.2)
Solve for x
Answers
Answer:
x=19/10
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
1/5(x+0.5)+5.24=3/2x +x+7/10(x+2.2)
(1/5)(x)+(1/5)(0.5)+5.24=3/2x+(7/10)(x)+(7/10)(2.2)(Distribute)
1/5x+0.1+5.24=3/2x+7/10x+1.54
(1/5x)+(0.1+5.24)=(3/2x+7/10x)+(1.54)(Combine Like Terms)
1/5x+5.34=11/5x+1.54
Step 2: Subtract 11/5x from both sides.
1/5x+5.34−11/5x=11/5x+1.54−11/5x
−2x+5.34=1.54
Step 3: Subtract 5.34 from both sides.
−2x+5.34−5.34=1.54−5.34
−2x=
−19/5
Step 4: Divide both sides by -2.
−2x=−19/5
x= 19/10
Answer:
x= 19/10
What is the value of the expression g . (g + 1)^2 for g= 2 ?
Answers
Hello!
Answer:
g = 9
Step-by-step explanation:
(g+1)^2
Plug in 2 for g: (2+1)^2
Add 2 and 1: (3)^2
Simplify: (3 x 3)= 9
Hope this helps.
The population P of a small town, measured in hundreds, is modeled by the inverse of the function P−1(t) = 10ln(50t − 1000), where t is measured in years. Find the equation to model the population and determine its initial value.
P = 5t +100 where P(0) = 100
P = 1/50 In(0.1t)+20
P = 1/500e^t + 20
P = 1/50e^0.1t + 20
Answers
Using the inverse function, it is found that the equation is:
[tex]P(t) = \frac{e^{0.1t}}{50} + 20[/tex]
It's initial value is 20.
---------------------------
We want to find the inverse of:
[tex]y = P^{-1}(t) = 10\ln{50t - 1000}[/tex]
To do this, we exchange y and t, and isolate y.
Then:
[tex]10\ln{50y - 1000} = t[/tex]
[tex]\ln{50y - 1000} = \frac{t}{10}[/tex]
[tex]e^{\ln{50y - 1000}} = e^{0.1t}[/tex]
[tex]50y - 1000 = e^{0.1t}[/tex]
[tex]50y = e^{0.1t} + 1000[/tex]
[tex]y = \frac{e^{0.1t} + 1000}{50}[/tex]
[tex]y = \frac{e^{0.1t}}{50} + \frac{1000}{50}[/tex]
[tex]P(t) = \frac{e^{0.1t}}{50} + 20[/tex]
It's initial value is:
[tex]P(0) = \frac{e^{0.1(0)}}{50} + 20 = 0.02 + 20 = 20.02[/tex]
Rounding, 20.
A similar problem is given at https://brainly.com/question/23950969
Answer:
P = 1/50e^0.1t + 20
Step-by-step explanation:
Oscar and Julie Ashton are celebrating their 15th anniversary by having a reception at a local reception hall. They have budgeted $5,000 for their reception. If the
reception hall charges a $80 cleanup fee plus $33 per person, find the greatest number of people that they may invite and still stay within their budget.
Answers
33p ≤4920
p ≤ 148
The greatest number they can invite is 148 people
am i right???? Please explain even if I am???
Answers
Similar triangles have the same angle measures, but different side lengths. Generally, similar triangles are proportional.
So, we can say that AB / DE = BC / EC.
16 / DE = 12 / 9
12(DE) = 144
DE = 12
Hope this helps!! :)
Directions: Use the information in the charts to answer the questions. Type of Fruit Cost Estimated Cost apple $1.75/pound 8.75 orange $2.35/pound 9.40 banana $1.50/pound 4.50 Annie bought 5 pounds of apples, 4 pounds of oranges, and three pounds of bananas. a. Round the prices to the nearest whole dollar to estimate how much money she spent. b. How much money did Annie actually spend? Write a numerical expression to represent the amount of money that Annie spent. Was your estimation an overestimation or underestimation? Why do you think that might be?
Answers
Estimates are used to make prediction about an actual value
Annie estimated spending $52Annie actually spent $48.25Your estimation is an overestimationThe chart is given as:
Fruit Cost Estimated
Apple $1.75/pound 8.75
Orange $2.35/pound 9.40
Banana $1.50/pound 4.50
The number of pounds of each fruit Annie bought are:
[tex]Apples= 5[/tex]
[tex]Orange = 4[/tex]
[tex]Banana = 3[/tex]
(a) The estimated amount
To do this, we make use of the estimated column.
So, we have:
[tex]Estimated = \sum Cost \times Pounds[/tex]
[tex]Estimated =1.75*5+8.75*4+1.50*3[/tex]
Approximate the prices
[tex]Estimated =2*5+9*4+2*3[/tex]
[tex]Estimated =52[/tex]
Hence, Annie estimated spending $52
(b) The actual amount spent
To do this, we make use of the cost column.
So, we have:
[tex]Actual = \sum Cost \times Pounds[/tex]
[tex]Actual =1.75*5+8.75*4+1.50*3[/tex]
[tex]Actual =48.25[/tex]
Hence, Annie actually spent $48.25
(c) The decision
By comparison, the estimated spending is greater than the actual amount spent.
Hence, your estimation is an overestimation
Read more about estimation at:
https://brainly.com/question/6768038
Hello someone help me please
Answers
Answer:
b
Step-by-step explanation:
The sum of two numbers is 45. The difference of the 2 numbers is 3. What is the product?
Answers
Answer:
Setting up problems like this requires a "system of equations." We'll call the two numbers "A" and "B." Make an equation out of the first sentence. "Sum" means the answer to an addition problem.
A + B = 45
After that, make an equation out of the second sentence. "Difference" means subtraction.
A - B = 3
There are two ways to solve this problem. The two ways are called "elimination" and "substitution." I don't know which way you usually do it, but for this case, elimination is more efficient, so I'll teach you how to do that. Look how "B" is positive in the first equation, but negative in the second equation. If these two equations get added together, the B-terms will cancel.
A + B = 45
A - B = 3
-------------
2A = 48
A = 24
Perfect, we got one of the numbers, which is 24. Plug in A = 24 into any of the equations to find B.
A + B = 45
24 + B = 45
B = 21
This means that our two magic numbers are 24 and 21. The product of these numbers can be found by multiplying them to get 504 (C). I hope this helps, and good luck with the rest of your math class!
Step-by-step explanation:
please mark me as brainlest
Multiply. (−6/35)⋅14/27 What is the product? Enter your answer as a fraction, in simplified form, in the box.
Answers
Answer:
-4/45
Step-by-step explanation:
[tex]\dfrac{-6}{35}*\dfrac{14}{27}=\dfrac{-6}{5}*\dfrac{2}{27}[/tex]
14 and 35 are given by 7th table.
[tex]= \dfrac{-2}{5}*\dfrac{2}{9}[/tex]
Now , 6 and 27 are given by 3rd table
[tex]=\dfrac{-4}{45}[/tex]
Answer:
-4/45
Step-by-step explanation:
2.03 Quiz: Multiply Signed Fractions
simplify the expression 8xy-(x+2xy)+3x
Answers
Answer:
6xy + 2x
Step-by-step explanation:
Simplify the expression.8xy-(x+2xy)+3x
simplify 2√2-3/√2+4/√8
Answers
Answer:
This is SURD, but the question is not well imputed (isn't well formed) some should be in bracket and left with one outside. check it well
Add 2/5 + 3/6 + 1/4 0 1 11/60 O 13/20 o 17/20 1 13/60
Answers
Answer:
Step-by-step explanation:
-(8/11)/(-3/5) = -(8/11)*(-5/3)
-(8/11)*(-5/3) = 40/33 [ or 1 7/33]
I can't interpret the rest of the question. I see:
"Add 2/5 + 3/6 + 1/4 0 1 11/60 O 13/20 o 17/20 1 13/60"
if u have a fun raiser and u need to make 100,000 but u have 63,482 what more do u need to add to get 100,00
Answers
Answer:
36,518
Step-by-step explanation:
You can subtract 63,482 from 100,000 to get your answer.
100,000-63,482 = 36,518
Nolan’s car used 2 gallons to travel 50 miles. How far can he travel on 3 gallons?
Answers
Answer:
75 miles
Step-by-step explanation:
because half of 50 is 25 so 25x2 is 50 and 50 plus 25 is 75
Answer:
75
Step-by-step explanation:
count by 25's
25+25=50
50+25=75
What are the steps to solving this following equation? Put answer and steps.
(5) * (-9) * (-2)
Answers
Answer:
90
Step-by-step explanation:
you can multiply anything here in any order.
you could first do 5 times -9
5 * -9 = -45
and then multiply the -2 to the -45
-2 * -45 = 90
4. Jason drove 200 miles in 8 hours. How many miles did Jason drive per
hour? (answer with just a number)
Answers
Answer:
25
Step-by-step explanation:
someone please solve this for me i swear i will give you a brainliest i really need help on this
Answers
Answer:
1) Yes, it is rational.
2) Yes, it is rational.
3) There are three repeating digits.
Step-by-step explanation:
Lets solve them in order.
1) First lets see what the characteristics of a rational number are. We know that, to be a rational number, a number must either:
Can be expressed as a fractionRepeatAre integersAnd terminateAn irrational number is a number that never repeats or ends. They are also not integers, but we will focus on the never repeats or ends part.
So, lets look at it. Does 0.147 repeat, terminate, be expressed as a fraction, and is it an integer? Well, its not an integer, it doesn't repeat, and it isn't a fraction. However, it does terminate, which means it is rational.
2) Is 0.147 repeating a rational or irrational number. Remember, we need to see if it terminates, repeats, is an integer, or is a fraction. Well, it doesn't terminate, it is not a fraction, and it is not an integer. However, it does repeat. That means that it is a rational number.
3) Now, to figure out how many repeating digits there are. In math, we know that the line above the numbers in the decimal place means that they repeat. So simply find out how many digits are below that line. Well, we see that 1, 4, and 7 are under the line. In total that is three digits. So the answer is 3.
45 is what percent of 80?
Answers
36
h(x)=17, x=?
H(x)=5x+2
I don't know how to find x?
Answers
Answer:
• If h(x) is 17, equate the whole function to 17
[tex]{ \tt{5x + 2 = 17}} \\ \\ { \tt{5x = 17 - 2}} \\ \\ { \tt{5x = 15}} \\ \\ { \boxed{ \tt{x = 3}}}[/tex]
Enter the correct answer in the box
Simplify the expression (62)4
Answers
Answer:
62•4=248
[tex]63^{4} =2^{24}[/tex]
Step-by-step explanation:
I didn't know which one you needed so here's both.
How many solutions are there for this equation? Why?
Answers
Answer:
d
Step-by-step explanation:
Which type of rock is shown in each of these photographs?
Answers
Answer:
igneous
Step-by-step explanation:
igneous rocks are made out of molten lava or magma
Answer:
sedimentary rock/igneous rock and Metamorphic rock
Step-by-step explanation: