Solve x2 + 13x + 22 = 0 using the quadratic formula.
Answers
x^2 + 13x + 22 = 0
( x + 11 )( x + 2 ) = 0
x = - 11 Or x = - 2
Related Questions
How did the temperature change if: at first it decreased by 10 % and then decreased by 30% ?
Answers
Answer: -37%
Step by Step Sol: 100=x
10% of 100 equals 10
100-10 = 90
30% of 90 equals 27
90-27 = 63
63-100 equals -37
The temperature decreased by 37% if the temperature changed if; at first it decreased by 10%.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
We have:
The temperature change if; at first, it decreased by 10 % and then decreased by 30%
Let x be the initial temperature
= (100 - 10) = 90% (first it decreased by 10%)
= 90% of x
= 0.90x
Then decrease by 30 percent,
= 100 - 30 = 70%
= (0 .90x)× 0.70
= 0.63x
The original percentage left 63%
= 100 - 63 = 37
Thus, the temperature decreased by 37% if the temperature changed if; at first it decreased by 10%.
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(d) Find the domain of function R. Choose the correct domain below.
Answers
Answer:
d
Step-by-step explanation:
The number of years must be non-negative.
This eliminates all of the options except for d.
need assistance on This question I’ll give you brainliest
Answers
Answer:
16 % points
Step-by-step explanation:
From the table 1963-1972 is 58 %
2003 - 2013 is 42%
58 - 42 = 16 percentage points
Out of 50 students taking a midterm psychology exam, 26 answered the first of two bonus questions, 33 answered the second bonus question, and 2 didn't bother with either
Answers
Answer:
This has no answer. Whats the question? Please tell me so I can help you
Is it probability ???
How to make 10.74 in two different ways?
Answers
Answer:
Step-by-step explanation:
1074/100
1.074*10
0.1074*10
107.4/10
10740/1000
The next model of a sports car will cost 4.4% more than the current model. The current model costs $52,000. How much
will the price increase in dollars? What will be the price of the next model?
Answers
Answer:
54,288
Step-by-step explanation:
Current model cost is $52,000
The next model is current cost plus 4.4%
4.4% of 52000 equals 2,288
52000+2,288=54,288
Saw the system of equations using matrices. Use the Gaussian elimination method with back substitution
Answers
From the system of equation, we construct the matrix of coefficients:
\(\begin{bmatrix}{5} & {4} & {-4} & {|13} \\ {1} & {1} & {5} & {|2} \\ {1} & {-4} & {0} & {|17} \\ & & & \end{bmatrix}\)Now, we subtract the second row from the third row:
\(\begin{bmatrix}{5} & {4} & {-4} & {|13} \\ {1} & {1} & {5} & {|2} \\ {0} & {-5} & {-5} & {|15} \\ & & & \end{bmatrix}\)We exchange the first and the second row:
\(\begin{bmatrix}{1} & {1} & {5} & {|2} \\ {5} & {4} & {-4} & {|13} \\ {0} & {-5} & {-5} & {|15} \\ & & & \end{bmatrix}\)Subtracting 5 times the first row from the second row:
\(\begin{bmatrix}{1} & {1} & {5} & {|2} \\ {0} & {-1} & {-29} & {|3} \\ {0} & {-5} & {-5} & {|15} \\ & & & \end{bmatrix}\)Finally, we subtract 5 times the second row from the third row:
\(\begin{bmatrix}{1} & {1} & {5} & {|2} \\ {0} & {-1} & {-29} & {|3} \\ {0} & {0} & {140} & {|0} \\ & & & \end{bmatrix}\)Now, using back substitution:
\(\begin{gathered} 140z=0 \\ \Rightarrow z=0 \end{gathered}\)\(\begin{gathered} -y-29z=3 \\ -y=3 \\ \Rightarrow y=-3 \end{gathered}\)\(\begin{gathered} x+y+5z=2 \\ x-3=2 \\ \Rightarrow x=5 \end{gathered}\)The solution set is:
\(\lbrace(5,-3,0)\rbrace\)Find the principal needed now to get the given amount; that is, find the present value.
To get $600 after 4 years at 7% compounded monthly
Answers
The required present value needed now to get $700 after 4 years at 11% compounded monthly is $451.73.
To find the present value of $600 after 4 years at 7% compounded monthly, we can use the formula for compound interest:
Compound Interest =P(1+r/n)^rt
Substituting the given values, we get:
Compound Interest =600 (1+7/n)^4
Simplifying this equation, we get
P = 600 / 1.487
P = 451.73
Therefore, the present value needed now to get $600 after 4 years at 7% compounded monthly is $451.73.
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A poll of 1,000 randomly selected registered voters was taken and 680 responded that they favor candidate X for mayor (p 1 = 0.6800). Just before the election, another poll of 900 registered voters was taken and 598 individuals responded that they favor candidate X (p 2 = 0.6644). A 90% two-proportion z confidence interval for the true difference between p 1 and p 2was found to be (-0.0199, 0.0510). What is the meaning of the interval in the context of the problem?
a)There has been no change in support for the candidate.
b)There has been a substantial drop in support for the candidate.
c)There has been a substantial gain in support for the candidate.
d)It is probable for the candidate to get most of the votes because the confidence interval includes zero.
e)It is not probable for the candidate to get most of the votes because support has dropped below 50%.
Answers
The meaning of the interval is "there has been no change in support for the candidate". Thus, option (a) is correct.
The 90% two-proportion z-confidence interval (-0.0199, 0.0510) represents the likely range of the genuine difference between the two polls in support of candidate X.
Because the interval comprises 0, the difference in support between the two polls is unlikely to be statistically significant. In other words, there is no compelling evidence that there has been a significant shift in support for the candidate.
Options b), c), d), and e) imply a substantial change in support for the candidate, either positive or negative.
Thus, option (a) is correct.
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The length of a sandwich is 36.2 inches. Skyler cut the sandwich into 4 equal-sized pieces for him and his friends to eat for lunch.
Which expression represents the length of each piece of the sandwiches?
Answers
Answer:
36.2/4=length of each sandwich piece
How many centimeters are in 862km
Answers
1 km = 1000 m and 1m = 100cm
1 km is the same as 1000 m = 1000 x 100 = 100000 cm
There are 862 kilometres so there is 862 x 100000 = 86200000 cm in 862 km.
Answer:
86200000
Step-by-step explanation:
According to the property , which choice is equivalent to the quotient below?3577 35 A.5B.C.D.-5E.25
Answers
Answer:
Option A is the right answer mate...
Which of the following is equivalent to 17g2 – 2g2?
Answers
Answer:
whichever equation equals =15g2
Step-by-step explanation:
Answer:
(17 – 2)g ^2
Step-by-step explanation:
Use the histogram to answer the following questions.
Frequency
The frequency of the class 90-93 is
The frequency of the class 94-97 is
This means that a total of
5.5
5
4.5
Your answers should be exact numerical values.
The frequency of the class 86-89 is
86
94
90
Duration of Dormancy (minutes)
dormancy periods were recorded.
Answers
The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.
The total number of periods is given as follows:
5 + 6 + 4 = 15.
The frequency of each class is given as follows:
86 - 89: 5/15 = 1/3.90 - 93: 6/15 = 2/5.94 - 97: 4/15.Learn more about the concept of probability at https://brainly.com/question/24756209
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what is the most effluence first step to isolate the variable term on one side of this equation -9x=-4x+5
Answers
PLEASE HELP MEEE IM SO STRESSED!
Answers
Answer:
(a) -2-(-9)=-2+9
=7
(b) -2-9=-11
(c) -2-(-9)-(-2)=-2+9+2
=9
Sketch the graph of the given function. Then state the function’s domain and range. y = 4(4)x
Answers
To sketch the graph of the function y = 4(4)^x, we can start by plotting a few points to get an idea of the shape of the graph.
Let's choose some x-values and calculate the corresponding y-values:
For x = -2, y = 4(4)^(-2) = 4(1/16) = 1/4
For x = -1, y = 4(4)^(-1) = 4(1/4) = 1
For x = 0, y = 4(4)^0 = 4(1) = 4
For x = 1, y = 4(4)^1 = 4(4) = 16
For x = 2, y = 4(4)^2 = 4(16) = 64
Now we can plot these points on a coordinate plane and connect them to form the graph of the function.
The graph of y = 4(4)^x will start at the point (0, 4) and increase rapidly as x increases. It is an exponential growth function where the base is 4.
The domain of the function is all real numbers since there are no restrictions on the values of x.
The range of the function is the set of positive real numbers greater than zero. As x increases, y grows without bound, approaching positive infinity but never reaching zero or becoming negative.
Find the area of the triangle below. Be sure to include the correct unit in your answer.
Answers
Answer:
54 cm
Step-by-step explanation: 1/2b x h
1/2(18) x 6
9 x 6=54
The sum of two numbers is 25 and their difference is 13. Find their product.
Answers
Step-by-step explanation:
x + y = 25
x - y = 13
x.y = ?
x + y = 25
y = 25 - x
x - y = 13
x - 25 + x = 13
2x = 13 + 25
2x = 38
x = 38/2
x = 19
y = 25 - x
y = 25 - 19
y = 6
(x, y) = (19,6)
So, find their product!!
= x.y
= 19 × 6
= 114
Pls I need help with this ASAP
Answers
Answer:
x=13
y=25.666...
<DME=25°
<BMQ=25°
<EMQ=155°
Step-by-step explanation:
3x-14=x+12
3x-x=12+14
2x=26
x=13
<DME=3x-14=3(13)-14=39-14=25
<BMQ=x+12=13+12=25
If DME and BMQ each equal 25, EMQ=180-25=155
6y+x-12=155 PLEASE CHECK - I think the picture says 6y+x-12, but if it doesn't, then this last part needs to be redone.
6y+13-12=155
6y+1=155
6y=155-1
6y=154
y=25.66666...
StartFraction 27 Over 9 EndFraction = StartFraction 18 Over x EndFraction
a.
x = 9
c.
x = 6
b.
x = 18
d.
x = 3
Answers
Answer:
Justification of step A: common denominator
Justification of step B: multliplication property of equality
Step-by-step explanation: i got it right
Omar has a classic car valued at $24275. It has been appreciating in value at the rate of 4.05% per
year. How much can he expect the car to be worth in 10 years?
Answers
The computation of the future value is $92,691.08
How to calculate the future value?As we know that
Future value = Present value × (1 + interest rate)^number of years
where, the Present value is $24275
The Interest rate is 4.05%
And, the number of the year is 10 years
Now placing these values to the above formula;
So, the future value is;
Future value = Present value × (1 + interest rate)^number of years
= $24275× (1 + 0.0405)^10
= $24275× 1.448298166
= $92,691.08
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What is an equation of the line that passes through the points (-4, 2) and (-8, -3)?
Please help!!!
Answers
The find the y intercept by using the formula y-y1= m(x-x1)
Using these formulas the answer is
Y=1.25 or 5/4x+5
estimate the value of
\( \sqrt{22} \)
Answers
An oil company purchased an option on land in Alaska. Preliminary geologic studies assigned the following prior probabilities.
P(high-quality oil)=0.45
p(medium-quality oil)=0.15
p(no oil)=0.40
a. What is the probability of finding oil (to 2 decimals)?
b. After 200 feet of drilling on the first well, a soil test is taken. The probabilities of finding the particular type of soil identified by the test are given below.
p(soil | high-quality oil)=0.15
p(soil | medium-quality oil)= 0.75
P(soil | no oil)=0.15
Given the soil found in the test, use Bayes' theorem to compute the following revised probabilities (to 4 decimals).
What is the new probability of finding oil (to 4 decimals)?
According to the revised probabilities, what is the quality of oil that is most likely to be found?
Answers
The total probability of filling oil is 0.60
a. P(oil) = 1 - P(no oil) = 1 - 0.40 = 0.60
b.P(soil ∩ high quality oil) = (0.45)(0.15) = 0.067
P(soil ∩ medium quality oil) = (0.15)(0.15) = 0.022
P(soil ∩ no oil) = (0.40)(0.40) = 0.16
New probabilities,
P(high quality oil | soil) = 0.067 / (0.067+0.022+0.16) = 0.067/0.269 = 0.269
P(medium quality oil | soil) = 0.022 / (0.067+0.022+0.16) = 0.022/0.269 = 0.088
P(no oil | soil) = 0.09 / (0.067+0.022+0.16) = 0.09/0.269 = 0.361
New probability of finding oil,
P(oil|soil)= 1 - P(no oil | soil) = 1 - 0.361 = 0.639
So the company has a lower chance of finding oil given that they find the particular soil.
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The weight of 100 identical samples of a substance is 0.01 pounds.
What is the weight of 10,000 samples?
Answers
0.01/100 = 0.0001 x 1000 = 0.1lb
12+16q-q and q=2 evaluate
Answers
Answer:q=0,\:q=-16
Step-by-step explanation:
Which choice is a solution to this system of equations? -x=y-4 y=4x+9
Answers
The solution to the system of equations is x = 5.4 and y = -1.4
How to determine the solution to the system of equations?From the question, we have the following parameters that can be used in our computation:
-x=y-4 y=4x+9
So, we have
-x = y - 4
y = 4x + 9
Rewrite the equation as
x = -y + 4
y = 4x + 9
So, we have
y = 4(-y + 4) + 9
Open the bracket and evaluate
5y = 9 - 16
So, we have
y = -1.4
Recall that
x = -y + 4
So, we have
x = 1.4 + 4
Evaluate
x = 5.4
Hence, the solution is x = 5.4 and y = -1.4
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NO LINKS!! URGENT HELP PLEASE!!!
Express the statement as an inequality
d. d is between 2 and 1
1. d < 1 < 2
2. 1 < d < 2
3. 1 < 2 < d
4. 2 ≥ d ≥ 1
5. 1 ≤ d ≤ 2
e. t is not less than 5
1. t > 5
2. t < 5
3. t = 5
4. t ≥ 5
5. t ≤ 5
f. The negative of z is not greater than 4
1. -z < 4
2. z ≤ -4
3. z ≤ 4
4. z < 4
5. -z ≤ 4
Answers
Answer:
d. 1 < d < 2
e. t ≥ 5
f. -z ≤ 4
Step-by-step explanation:
Answer:
d. 5. 1 ≤ d ≤ 2
e. 4. t ≥ 5
f. 1. -z < 4
Step-by-step explanation:
d. d is between 2 and 1
The statement "d is between 2 and 1" means that d is greater than 1 and less than 2. We can represent this using the inequality 1 < d < 2. However, the answer choices do not match this exact form of inequality. To rephrase the inequality in a way that matches the answer choices, we can use the logical "and" operator to combine two inequalities: d is greater than or equal to 1, and d is less than or equal to 2. This gives us the inequality 1 ≤ d ≤ 2, which is answer choice 5.
e. t is not less than 5
The statement "t is not less than 5" means that t is greater than or equal to 5. This can be represented using the inequality t ≥ 5, which is answer choice 4.
f. The negative of z is not greater than 4
The statement "the negative of z is not greater than 4" means that -z is less than or equal to 4. We can represent this using the inequality -z ≤ 4, which is answer choice 2. However, the question does not include an answer choice for -z < 4, which is also true based on the statement.
distributive property
-(6x + 4)
Answers
Answer:
Step-by-step explanation:
-2(3x + 2)