Solve the following quadratic equation by factoring.
x^2 - 5x = 14
(Answers are in photo)
10 points!!!
Please explain how you got your answer.
Answers
Answer:
x = 7, -2
Step-by-step explanation:
Factor and set each factor equal to 0==========================================
Work Shown:
x^2 - 5x = 14
x^2 - 5x - 14 = 0
(x-7)(x+2) = 0 .... this step is further explained below
x-7 = 0 or x+2 = 0
x = 7 or x = -2
The order of the solutions does not matter.
-------------------------
To factor x^2-5x-14, we need to find two numbers that multiply to -14 and add to -5. This is done through trial and error. I recommend making a table to help organize everything. See the diagram below.
After a bit of guess work, you should find that -7 and 2 are the two values we're after
-7 + 2 = -5
-7 * 2 = -14
This is why x^2-5x-14 = (x-7)(x+2)
Related Questions
find the number.round to the nearest tenth if possible.95%of40
Answers
Answer:
40
Step-by-step explanation:
95 percent of 40 is 38
round to the nethest tenth and you got 40
have a wonderful day
P(5. - 5), y=3x+3
Write an equation for the line in point-slope form
Answers
Answer:
M= 3
Step-by-step explanation:
l2ecdnienofnweucon fuovnewdionsdv wqueijncqodi
Answer:
y+5 =3(x-5)
Step-by-step explanation:
The point slope form of an equation is : y-y₁ = m(x-x₁)
Given in the question ;
x₁= 5
y₁ = -5
y= 3x+3 where m=3
The equation is :
y-y₁ = m(x-x₁)
y--5 =3(x-5)
y+5 =3(x-5) ----equation of the line in point-slope form.
A ticket to see your favorite baseball team costs $45.65. That price decreases by $0.25 for every game lost during the regular season. What equation could you use to find the cost of a ticket after L losses? Represent the total change in the cost of a ticket after the team loses 42 games. What is the price of a ticket after the team loses 42 games?
Answers
Answer:
Cost = $45.65 - $0.25L
after 42 losses:
45.65 - 0.25(42) = $35.15
hi I've been having problems with this question. I need to get it done by tonight.
320÷b∙20 and 320÷(b∙20) for b=4
Answers
Answer:
First one equals 16, second equals 4
Step-by-step explanation:
b*20=20b
320/20=16
Second
320/(b*20)
Replace b with 4 so it would be 320/(4*20)
4*20=80, 320/80=4
6. What is the equation in point-slope form of the line that passes through the points (-2, 18) and
(1, -3)?
A. y +3 = -7(x - 1)
B. y -3 = -7(x + 1)
C. y+3 = 7(x + 1)
D. y - 3 = 7(x - 1)
PLEASE HURRY ITS A TIMED TEST!!!!!
Answers
Answer:
B) y-3= -7(x+1)
Step-by-step explanation:
2. What is the volume of this object?
1 m
2 m
4 m
3 m
3 m
6 m
Answers
Answer:
19
Step-by-step explanation:
Oil is spilled onto a kitchen floor. The area covered by the oil at time t is given by the function A, where A(t) is measured in square centimeters and t
is measured in seconds. Which of the following gives the rate at which the area covered by the oil is changing at time t=10?
Answers
Answer:
did you ever fine out the answer to this lol
Step-by-step explanation:
Oil is spilled onto a kitchen floor. The area covered by the oil at time t is given by the function A, where A(t) is measured in square centimeters and t
is measured in seconds. The rate at which the area covered by the oil is changing at time t = 10 is A'(10).
Given that:
The area covered by the oil at time t = A(t)To determine the rate at which the area covered by the oil is changing with time, we need to differentiate A(t) with respect to time t.
∴
By differentiation:
[tex]\mathbf{\dfrac{dA}{dt} =A'(t)}[/tex]
The rate at which the area covered with oil is changing is t = 10∴
[tex]\mathbf{\dfrac{dA}{dt} \Big| _{t=10}=A'(t)\Big|_{t=10}}[/tex]
[tex]\mathbf{\dfrac{dA}{dt} =A'(10)}[/tex]
Therefore, we can conclude that the rate at which the area covered by the oil is changing at time t=10 is A'(10).
Learn more about differentiation here:
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PLZ HELP! PART OF A UNIT TEST IN K12! MARKING BRAINLIEST FOR CORRECT ANSWER! simplify: (√−27) * (√−32)
Answers
(I don’t have that sign on my phone but I tried to make it accurate)
If I’m wrong then sorry
A volleyball team has 30 players: 12 freshman, 4 sophomores, 6 juniors, and 8 seniors. If two players are chosen to be captains for the next game, what is the probability that both players chosen are freshman?
Answers
Answer:
.8
Step-by-step explanation:
you would take 12 over 30 and set that equal to x over 2. then multiply 12 times 2 which is 24 then divide 24 by 30 which is .8
Translate this sentence into an equation. 52 is the sum of 22 and Malik's savings. Use the variable m to represent Malik's savings.
Answers
Answer:
Malik 22+30=M
A manufacturer contracts to supply ball bearings with diameters between 24.60 millimeters and 25.40 millimeters. Product analysis indicates that the ball bearings manufactured have diameters that are normally distributed with a mean of 25.10 millimeters and a standard deviation of 0.20 millimeters. What percentage of ball bearings fail to satisfy the contract specifications?
Answers
Answer:
7.3%
Step-by-step explanation:
to get this percentage, we need to use the z-score calculation;
z-score = (x-mean)/SD
mean = 25.10 , SD = 0.2
For diameter 24.60
z-score = (24.6-25.10)/0.2 = -0.5/0.2 = -2.5
For diameter 25.40
z-score = (25.4-25.1)/0.2 = 1.5
So the proportion that will satisfy the specifications will be;
P(-2.5 < z < 1.5)
At this point, we use the standard normal table
P(-2.5 < z < 1.5) = P (z<1.5) - P (Z < -2.5)
From standard normal table;
P(Z < 1.5) = 0.9332
P(z < -2.5) = 0.0062
P(-2.5 < z < 1.5) = 0.9332 - 0.0062 = 0.927
So the proportion that meets specification = 92.7% ( same as 0.927)
Proportion failing to meet specification = 100- 92.7% = 7.3%
Answer: The percentage of ball bearings fail to satisfy the contract specifaction is 7.3 %.
Step-by-step explanation:
First we need to find the standard score of 24.60 and 25.40. Using Standard Score formula.
[tex]\frac{24.60 - 25.10}{.20} =-2.5\\\\\frac{25.4 - 25.10}{.20}=1.5[/tex]
now we need to find the percentages of these Z scores.
-2.5 = .0062 or 00.62%
1.5 = .9332 or 93.32%
now we subtract these two to get the in between percentage.
.9332 - .0062 = .927 or 92.7% is what doesnt fail to satifsy the contract spefications! But to find what does fail to satisfy we have to subtract it by 100% or 1.
1 - .927 = 0.073
7.3%
Bus A and Bus B leave the bus depot at 9 am. Bus A takes 30 minutes to complete its route once and bus B takes 40 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:
Bus A: 10:00am Bus B:10:20
Step-by-step explanation
I think that this is correct
You are purchasing plants and have 30 dollars.A mall plant cost $2.00 and a large plant cost $6.00 Let x represent the number of small plants and y represent the number of large plants write in standard form.
A.6y=2x+30
B.2x+6y=30
C.2y+6x=30
D.-2x-6y=30
Answers
Answer:
id say C because 2 times 6= 12 and 6 times 2 is 12 and 12+12 = 24 and all the other answers are over 30
Step-by-step explanation:
id say C because 2 times 6= 12 and 6 times 2 is 12 and 12+12 = 24 and all the other answers are over 30
good luck and have fun :)
A store buys a jacket for 20:00$ and then sells it to a customer for 80% more than that. What is the selling price of the jacket
Answers
Answer:
$36
Step-by-step explanation:
20(1.80) = 36
QR=QR
Choose the definition, theorem, or postulate that justifies the statement.
A. Subtraction Property of Equality
B. Definition of Midpoint
C. Segment Addition Postulate
D. Symmetric Property (of= or≅)
E. Reflexive Property (of= or≅)
F. Transitive Property (of= or≅)
G. Definition of Congruence
H. Substitution Property
I. Addition Property of Equality
J. Multiplication Property of Equality
K. Division Property of Equality
Answers
As per the reflexive property two angles , lines or line segments are said to be congruent with themselves . Hence we say that QR = QR .
Does someone know the answers to this if not can someone do it
Answers
Answer:
in the pic below!!
Step-by-step explanation:
Answer:
thats a lot of words
Step-by-step explanation:
Charles scored 75% on a test and got six questions wrong. How many questions were on the test?
Answers
Answer:
24 question total
Step-by-step explanation:
[tex]\frac{0.25}{6}=\frac{1}{x}[/tex]
im here to help :)
Red
Answer:
24 problems were on the test
Step-by-step explanation:
6/24 =1/4 =25%
18/24=3/4=75%
If (fail) test were 25% were6 problems wrong, and 25% is 3 times less than 75%, then 18 is 3x6=18 problems correct
I really need help with this question!!
Answers
Stephanie has $250 in her account. She withdraws $50 on October 1st to pay the electric bill. Then she withdraws $125 on October 10th to pay the internet. What is the total amount of money she withdraws from her account?
Answers
In 1999 a one day adult ticket to
Disneyland was $41.00. In 2009,
that same ticket cost $72.00. Find
the percent of change.
Answers
Answer:
75.63%
Step-by-step explanation:
Of 630 students in a school, 270 went to the school dance. About what percent of the students went to the dance?
Answers
Answer:
42.9% or 43%
Step-by-step explanation:
270÷630=0.4285714286
0.4285714286 × 100 = 42.85714286
Rounded - 42.9% or 43%
Order the following list from least to greatest.
|-18|, -30, 35, -9.3
Answers
Answer:
Step-by-step explanation:
-30, -9.3, |-18|, 35.
Answer: -30, -9.3, |-18| (which is now just 18), and 35
Step-by-step explanation: The absolute value sign around |-18| makes the -18 an 18. For example, |-5| will become positive 5. |7| would stay positive even with the absolute value sign.
As negative numbers get bigger, they go left on the number line, making them smaller. Positive numbers go right on the number line, making then bigger.
find the next terms
I, II, III, IV, V, ___, ___, ___, ___, ___
whats the conjecture?
______________
Answers
If f(x) = -x +6 and the domain of f is { 3, 7 , 11}, what is the range of f(x)?
Answers
Answer:
The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. (In grammar school, you probably called the domain the replacement set and the range the solution set.
Step-by-step explanation:
hope it helps
Answer:
B
Step-by-step explanation:
Cheryl is curious how different amounts of sunlight will impact the growth of her tomatoes. She exposed some of her tomatoes to varying amounts of sunlight (in hours per day) and recorded the change in their circumferences (in centimeters) after a week. Her data is summarized in the table below.
Answers
Answer:graph B
Step-by-step explanation:
Answer:
GRAPH B
Step-by-step explanation:
True or false the square root of 100 is 50
Answers
Answer:
false
Step-by-step explanation:
the square root is 10
What is 3.4550 rounded to 1 decimal place? *
3
3.4
3.46
3.5
Answers
Answer:
3.5 (D)
Step-by-step explanation:
focusing on the right side of the decimal, 5 rounds 5 to 6. 6 rounds 4 to 5. Anything 5 or above rounds up! So the .5 rounds 4 to 5, making the answer 3.5. So sorry if this doesn't make sense, its kind of hard to explain.
Janet bought g number of packs of gum. Each pack of gum costs $0.79. Write an expression that shows how much change she will get back from paying with a $20 bill.
A. 20 - 0.79g
B. 20 - 0.079g
C. 20 + 0.79g
D. 20 - 79g
Answers
Forty Percent of the thirty students in the class are boys. How many girls are in the class? PLEASE EXPLAIN!!!
Answers
Answer:
18
Step-by-step explanation:
If forty percent of the class is boys, then sixty percent of the class is girls. So that means you must multiply .6 by 30 which will give you your answer of 18. .6 is a decimal form of 60%
The number of girls in the class is 60% or 18 girls
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total number of girls in the class be = G
Now , let the total number of boys in the class be = B
The total number of students in the class = S
The value of S = 30 students
The percentage of boys in the class = 40 %
So , the equation will be
The number of boys in the class = percentage of boys in the class x total number of students in the class
Substituting the values in the equation , we get
The number of boys in the class = ( 40/100 ) x 30
The number of boys in the class = 30 x 0.4
The number of boys in the class = 12 boys
So , the number of girls in the class = total number of students in the class - number of boys in the class
Substituting the values in the equation , we get
The number of girls in the class = 30 - 12
The number of girls in the class = 18 girls
Therefore , the value of G is 18 girls
Hence , The number of girls in the class is 60% or 18 girls
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I need help in this, the result should give 17
someone please help me
Answers
Here step by step:
X/5=4
5 X x/5=5 X 4
X=20
Answer:
X= 20
Step-by-step explanation:
x/5 + 13 = 17
x/5 + 13 =17
- 13. -13
x/5×5 4×5=20
So X=20
