![[tex]5x ^{2} + 29x + 20 = 0[/tex]what Are The Real Solutions Of The Equation](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/seRrFyijK3V2ePk3gY8Vfm3yy6V9RQyq.png)
Answers
1) Considering that the equation is:
\(5x^2+29x+20=0\)2) Let's solve it, then making use of the quadratic formula:
\(\begin{gathered} x=\frac{-b\pm\sqrt[]{\Delta}}{2a} \\ x=\frac{-29\pm\sqrt[]{(29)^2-4(5)(20)}}{2(5)} \\ x=\frac{-29\pm\sqrt[]{441}}{10}=\frac{29\pm21}{10} \\ x_1=-\frac{4}{5} \\ x_2=-5 \end{gathered}\)3) Hence, the Solution Set is S= { -5,-4/5}
Related Questions
please answer the question.
Answers
Hey guys please help me with my quiz its about finding the values of letters in angles!!
Answers
The value of x is given as follows:
x = 24.
The measure of angle DFE is given as follows:
<DFE = 62º.
How to obtain the measures?To obtain the measures, we consider that the sum of the measures of the internal angles of a triangle is of 180º.
The internal angle measures for this problem are given as follows:
180 - (5x - 14) -> each angle is supplementary with it's external.44º.3x - 10.Hence the value of x is obtained as follows:
180 - 5x + 14 + 44 + 3x - 10 = 180
228 - 2x = 180
2x = 48
x = 24.
The measure of angle DFE is obtained as follows:
<DFE = 3(24) - 10
<DFE = 72 - 10
<DFE = 62º.
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find the three dimensional shape
Answers
Answer:
Pentagonal Pyrimid
Step-by-step explanation:
A pile of cards has 3 black cards and 5 red cards. Alex picks 6 cards out of the pile, without replacement. Which of the following are possible outcomes?
1)Alex picks all red cards
2)Alex picks all black cards
3)Alex picks more black cards than red cards
4)Alex picks more red cards than black cards
5)Alex picks an equal number of red and black cards.
Select all that apply.
Answers
Answer:
)Alex picks more red cards than black cards,
Step-by-step explanation:
what are the x-intercepts of the graph of the function f(x)=x^2+5x-36?
Answers
Answer:
-9 and 4
Step-by-step explanation:
Answer:
(4,0) and (-9,0)
Step-by-step explanation:
Given that P(x) = 2W/W+1 + W-4/2W-3 , evaluate p(0)
Answers
Answer:
5
Step-by-step explanation:
jnjknmnj
A researcher randomly selected 500 students from the total of 8000 students that attended a private college in California in order to investigate the average number of hours spent studying per day at this private college. The researcher found that these 500 students studied an average of 5.75 hours a day.In the previous question, the 5.75 hours a day would be an example of a
Answers
Answer:
Statistic
Step-by-step explanation:
We are given four options
Parameter
Statistic
Sample
Population
In the given question the total number of students represents the population i.e population and the population size would be= N= 8000
The number of students selected represent a sample the sample size would ben= 500
A statistic is used for a given sample e.g in the given question the mean of the sample represents the statistic.
A parameter is used for a population e.g in the given question the mean of the population would be a parameter. A parameter is computed from the entire population
The correct option is statistic.
The Griffins bought a $292,000 house. They made a down payment of $48,000 and took out a mortgage for the rest. Over the course of 30 years they
monthly payments of $1462.91 on their mortgage until it was paid off.
Question 13
(a) What was the total amount they ended up paying for the house (including
the down payment and monthly payments)?
$
(b) How much interest did they pay on the mortgage?
$
Answers
The Griffins ended up paying a total of $575,647.60 for the house. The Griffins paid a total of $331,647.60 in interest over the 30-year period
What is interest rate?Interest rate refers to the percentage of the principal amount charged by a lender to a borrower for the use of money over a certain period of time.
According to question:(a) The total amount they ended up paying for the house can be calculated by adding the down payment to the total amount paid in monthly mortgage payments over the 30-year period:
Total amount paid = down payment + (monthly payment x number of payments)
Number of payments = 30 years x 12 months/year
= 360
Total amount paid = $48,000 + ($1462.91 x 360)
= $48,000 + $527,647.60
= $575,647.60
Therefore, the Griffins ended up paying a total of $575,647.60 for the house.
(b) The total amount of interest paid on the mortgage can be calculated by subtracting the amount borrowed (i.e., the purchase price minus the down payment) from the total amount paid over the 30-year period:
Total interest paid = total amount paid - amount borrowed
Amount borrowed = $292,000 - $48,000 = $244,000
Total interest paid = $575,647.60 - $244,000 = $331,647.60
Therefore, the Griffins paid a total of $331,647.60 in interest over the 30-year period.
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Find the value of x in the triangle shown.
Answers
X2 = 25 +144
X2= 169
Take square root
X = 13
Find a function that models the profit you can expect, based on your projections, for each business. You can round your values to the nearest thousandth, as needed.
Month (t) 1 2 3 4 5 6
Dog Walker (D) $5 $12 $23 $50 $62 $80
House Sitter (H) $11 $19 $29 $38 $50 $73
Lawn Care (L) $142 $150 $165 $141 $120 $91
Answers
Answer:
d dog walker
Step-by-step explanation:
i just had that question and got it
right
Andy has $310 in his account. Each week, w, he withdraws $30 for his expenses. Which expression could be used if he wanted to find out how much money he had left after 8 weeks?
1) 310-8w
2) 280+30(w-1)
3) 310w-30
4) 280-30(w-1)
Answers
Hey you man what are you doing here go to there
EXPLANATION - we read the questions and create 310-30w as an equation, but we have to find another way that is equivalent to A B C or D. If you take D-280-30(w-1) and distribute to get 280-30w+30 then you have to combine like terms to get 310-30w.
Quadrilateral ABCD is a rhombus.DA АC СBMatch the reasons that justifies the given statements.
Answers
A rhombus is a quadrilateral with 4 congruent sides.
For the Rhombus ABCD given
\(\begin{gathered} AB\mleft\Vert DC\text{ }\mright? \\ \\ \text{Opposite sides of a rho}mbus\text{ are parallel} \end{gathered}\)Also,
\(\begin{gathered} DA\cong CB \\ \text{Opposite sides of a rhombus are congruent} \end{gathered}\)Also,
\(\begin{gathered} <\text{ADC}\cong<\text{ABC} \\ \text{Opposite angles of a rhombus are congruent} \end{gathered}\)100 POINTS PLEASE HELP ME ALGEBRA
Answers
The range of the graph of the exponential function is (b) {y | y > 0}
Calculating the range of the graphFrom the question, we have the following parameters that can be used in our computation:
The graph of the exponential function
The rule of an exponential function is that
The domain is the set of all real numbers
This means that the input value can take all real values
However, the range is always greater than the constant term
From the graph, the constant term is 0
So, the range is y > 0
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What is the definition of cause and effect structure?
A. Describes a problem as well as its causes and suggests solutions
B. Shows how two or more things are alike andlor different
C. Shows relationship between events, explains how one thing happens as a result of another
D. Describes a topic, idea, person, place or thing
Answers
Answer:
Method of paragraph or essay development in which a writer analyzes the reason for - and / or the consequences of - an action , event, or decision
Answer:
C. Shows relationship between events, explains how one thing happens as a result of another
Step-by-step explanation:
the phone company charges $33 for having a smartphone plus $9.95 a month for 2gb. IF mark has only $146.43 to spend on a phone, how many months can he have the phone? inequalities
Answers
The number of months Mark can have the phone is given by the equation
A = 11.4 months
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 number of months be represented as = A
Now , the equation is
Now , the total amount with Mark = $ 146.43
The initial amount for the smartphone = $ 33
The amount per month for 2GB is = $ 9.95
So , the amount for A months = $ 9.95 ( A )
So , the equation will be
Initial amount for the smartphone + the amount for A months = total amount with Mark
Substituting the values in the equation , we get
33 + 9.95 ( A ) = 146.43 be equation (1)
On simplifying the equation , we get
Subtracting 33 on both sides of the equation , we get
9.95 ( A ) = 113.43
Divide by 9.95 on both sides of the equation , we get
A = 11.4 months
Therefore , the value of A is 11.4 months
Hence , the number of months is 11.4 months
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Solve ARST.
R
S
72°
7
T
15
r
S
Answers
Answer:
r = 14.3s = 4.6S = 18°Step-by-step explanation:
You want the solution to right triangle RST with RS = 15, R = 72°, T = 90°.
Trig relationsThe mnemonic SOH CAH TOA reminds you ...
Sin = Opposite/Hypotenuse ⇒ r = 15·sin(72°) ≈ 14.3
Cos = Adjacent/Hypotenuse ⇒ s = 15·cos(72°) ≈ 4.6
The acute angles in a right triangle are complementary, so ...
S = 90° -R = 90° -72° = 18°
Janice brought a set of 8 classic paperbacks to a secondhand store to sell. She was paid cash
for the entire set. Before she left, Janice used $4 of her earnings to purchase a used board
game. She had $10 remaining.
Which equation can you use to find p, the value of each paperback in the set?
4p - 8 = 10
8p - 4 = 10
8(p-4)= 10
4(p-8)= 10
Answers
Answer:
By setting up the equation 8p - 4 = 10
Step-by-step explanation:
To find the value of each paperback in the set, we can use the equation:8p - 4 = 10In this equation, p represents the value of each paperback in dollars.Explanation:The equation 8p represents the total value of the 8 paperbacks before Janice used $4 to purchase the board game.Subtracting $4 from the total value gives us the remaining amount of money Janice had after the purchase, which is $10.By setting up the equation 8p - 4 = 10, we can solve for p, the value of each paperback in the set.
3. Estimate the value of -V 150 by plotting it ona number line.• BetweenDecimal estimate: 2
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The first thing is to calculate the value of the root.
\(-\sqrt{150}=-12.247\)therefore, is between -12 and -13
decimal estimate: 0.24
Which equation represents the sentence:
Amanda's age is four less than three times Jacob's age.
A.a=3c−4
B.a−4=3c
C.4a=3+c
D.a=4−3c
Answers
Answer:
a.) 1/2n 4=3−5/n b.) 1/2(n 4)=5/n−3 c.) 1/2(n 4)=3−5/n d.) 1/2n 4=5/n−3
Let's assume the number be n.
So, sum of number and four can be written as n+4.
Now one-half of n+4 will be .
Quotient of five and the number can be written as .
Now three less \frac{5}{n} can be written as \frac{5}{n} -3.
So, one-half the sum of a number and four is three less than the quotient of five and the number can be converted into equation as follows:
So, b is the correct choice.
Step-by-step explanation:
Can you mark brainliest
The last time it placed an order for ingredients, Sweet Treats Bakery ordered 9,390 kilograms of sugar. This time, the bakery is ordering 7,512 kilograms. What is the percent of decrease in the size of the sugar order?
Answers
Answer:A decrease of 20%.
First we must subtract out new total from our old total.
9390 - 7512 is 1878. This means that there is a difference of 1878. Next we must divided both 7512 and 1878 into 9390.
7512/9390 is 0.8 & 1878/9390 is 0.2
As a percentage that is 80% and 20%.
This means that the new amount of sugar only makes up 80% of the old amount. That means that there was a decrease of 20% of kilograms of sugar.
I hope this helped & Good Luck <3 !!!
Find the distance between the two points rounding to the nearest tenth
(-4, 2) and (3, 5)
Answers
Answer:
-8.66666666666666666666666666666666666
-9
Step-by-step explanation:
5 > Chapter 2: Modeling with Quadratic Functions > Secti
Write an equation of the parabola in intercept form.
IN AY
х
-2.
(-1,0)
(2,0)
(1, -2)
-4
4
An equation of the parabola is y=0
Answers
Answer:
the awnser is 2,0
Step-by-step explanation:
Answer:
(1,-2) is the correct answer
PLEASE ANSWER THIS ASAP. PLEASE INCLUDE STEP BY STEP EXPLANATION!!!
Last night, troy spent 1 2/5 hours doing his math homework, then 45 minutes on his science homework. what was the total time spent on doing homework?
Answers
Answer: 129 minutes in total
Step-by-step explanation:
1 2/5 hours in decimal form 1.4 hours
1.4 hours = 84 minutes
84 + 45 = 129 minutes
A simple random sample of 100 observations was taken from a large population. The sample mean and the standard deviation were determined to be 80 and 14 respectively. The standard error of the mean is
Answers
Answer:
1.4Step-by-step explanation:
The formula for calculating the standard error of the mean is expressed as shown below;
Standard error = \(\frac{\sigma}{\sqrt{n} }\)
\(\sigma\) is the standard deviation and n is the sample size.
Given \(\sigma\) = 14 and n = 100
Substituting this values into the formula fr calculating the standard error of the mean;
\(SE = \frac{14}{\sqrt{100} } \\\\SE = \frac{14}{10} \\\\SE = 1.4\)
Hence, standard error of the mean is 1.4
120 millones en notación científica
Answers
Answer:
120000000
Step-by-step explanation:
Your friend says that 1/2 + 1/7 is equal to 2/14 . Is this correct ? not , what mistake did your friend make?
Answers
1/2 + 1/7 = 9/14
1 x 7 / 2 x 7 + 1 x 2 / 7 x2
= =
7/14 + 2/14
7 + 2 = 9 so it’s 9/14
Don’t need to change the denominators now that they are the same.
Your friend didn’t change it so that the denominators were the same on each fraction and multiplied the two numerators and denominators before changing it that’s where they made the mistake.
Deidre bought a car in California. The price of the car was $32,000. California has an 8% sales tax. How much did Deidre pay for the car including sales tax?
Answers
Given:
Price of car = $32,000
Sales tax = 8%
To find:
The price of car including sales tax.
Solution:
We have,
Price of car = $32,000
Salas tax = 8%
Amount of sales tax = 8% of price of car
\(\text{ Sales Tax}=\dfrac{8}{100}\times 32000\)
\(\text{Sales Tax}=2560\)
Now,
Total price of car including tax = Price of car + Sales tax
\(\text{Total price of car including tax}=32000+2560\)
\(\text{Total price of car including tax}=34560\)
Therefore, the price of car including tax is $34560.
Please help find the range
Answers
Answer:
Any Nber between 0-58 or 1-59
Step-by-step explanation:
Well you are already given the range which is 58. The question is asking for two number that are in the range. The range 58 means it can't be greater than 59. The range is how far apart the great y vaule is from the lowest y vaule.
Hope this helps!
Have any questions? Feel free to ask
HELP ASAP i need help with this math
Answers
Answer:
The solution is in the attached file
Step-by-step explanation:
I dont get this question equation
y=0.5 (6) - 4
I know that 0.5 is equivalent to 1/2 but I just don’t get this question
Answers
To solve the equation, you first need to simplify 0.5(6) to get 3, since 0.5 is equivalent to 1/2 and multiplying 6 by 1/2 gives you 3. So the equation becomes:
y = 3 - 4
Next, you need to subtract 4 from 3 to get -1. So the solution to the equation is:
y = -1
Therefore, when the value of the independent variable is 6, the value of the dependent variable is -1.
Answer
\(\pink\sf{y=-1}\)
Step-by-step explanation
I'm assuming that this exercise is asking us to simplify the equation \(\sf{y=0.5(6)-4}\).
We know that 0.5 (6) means 0.5 multiplied by 6. That is the same as 6 divided by 2, which is 3:
\(\sf{y=3-4}\)
And now we just simplify the last part:
\(\sf{y=-1}\)
∴ answer: y = -1