Answer:
Subtract 24 from both sides.
Step-by-step explanation:
x2+8x=24
Step 1: Subtract 24 from both sides.
x2+8x−24=24−24
x2+8x−24=0
For this equation: a=1, b=8, c=-24
1x2+8x+−24=0
Step 2: Use quadratic formula with a=1, b=8, c=-24.
x=
−b±√b2−4ac
2a
x=
−(8)±√(8)2−4(1)(−24)
2(1)
x=
−8±√160
2
x=−4+2√10 or x=−4−2√10
Answer:
x=−4+2√10 or x=−4−2√10
Answer:
+ 16
Step-by-step explanation:
x² + 8x = 24
to complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(4)x + 16 = 24 + 16
help me please on this question
Answer: 50
Step-by-step explanation:
equation is 5x-40+150=360
combine like terms = 5x+110=360
Subtract 110 from both sides = 5x=250
x=50
A rectangular bathroom mirror is 2 feet tall and 10 feet wide. What is its perimeter?
The perimeter is the all the side's lengths added up together
-- so: Perimeter = 2 + 10 + 2 + 10 = 24 feet
Hope that heped!
What is 1 1/5 as a decimal
Answer:
1.2
Step-by-step explanation:
1/5 = 0.20
1.2
Hope this helped!
Answer:
Step-by-step explanation:
2.2
name a pair of angles that are a linear pair.
Answer:
D: PUR and SUR
Step-by-step explanation:
A linear par is made of two angle's whoes measure add to 180, or it forms a line. PUR and SUR form a line so therefore they are a linear pair.
The answer is D) <PUR and <SUR
A linear pair is when a pair of angles add up to 180 degrees. The angles must share 2 points and should be next to each other. They are adjacent angles formed by two intersecting lines.
A banker earns a $75,000 annual salary, a 2.35% commission on any approved loans for the bank's business customers, and a fee of $3.75 for each application processed. If the banker has a total of $2.8 million in approved business loans and processes 2,750 applications this year, what are the banker's earnings rounded to the nearest dollar?
Answer:
$15,1113Step-by-step explanation:
Given that the banker base annual salary $75,000
1. a 2.35% commission on $2.8 million is
=(2.35/100)*2,800,000
=0.0235*2,800,000
=$65800
2. a fee of $3.75 for each 2,750 applications processed
=3.75*2,750
=$10312.5
the banker's earning is $75,000+$65800+$10312.5
=$151112.5
to the nearest dollar
=$15,1113
Write the converse of the following statement and determine its truth value.
"If a class has 3 left-handed people and 24 right-handed people, then the ratio of lefties to righties is 1:8"
Answer:
1) The convers of the conditional statement is;
If the ratio of lefties to righties is 1:8, then a class has 3 left-handed people and 24 right-handed people
2) The convers of the conditional statement is true
Step-by-step explanation:
1) The given statement is presented as follows;
"If a class has 3 left-handed people and 24 right-handed people, then the ratio of lefties to righties is 1:8"
The hypothesis = A class has 3 left-handed people and 24 right-handed people = p
The conclusion = The ratio of lefties to righties is 1:8 = q
We have;
If p, then q which is p → q
The converse statement = If q, then p which is q → p
Then the converse of the conditional statement can be written as follows;
If the ratio of lefties to righties is 1:8, then a class has 3 left-handed people and 24 right-handed people
2) Given that the ratio of 3:24 = 1:8, we have that both the hypothesis and the conclusion are true, therefore, the converse of the conditional statement is true.
What percent of 72 is 9?
18%
114%
1212%
125%
Answer:
125%
Step-by-step explanation:
i have an answer of that
Help help help help help help please
Answer:
1. 21z² - 35nz + 56n²
2. 18y + 8
3. 12z³ - 24z² + 28z
4. 56c³ + 14c²g + 21cg²
5. 21p⁵ + 42p⁴- 63p³
6. 35g⁴ + 14g³ + 21g²
7. 54c² - 27cz
8. 24n² + 15n + 18
9. 40k⁴ + 16k³p + 24k²p²
10. 45z⁵ - 36z⁴h - 63z³h²
Plz mark brainliest :)
A scientist who studies sleep has developed a new technique to help people sleep each night. He
is conducting a study of 100 people and wants to determine if there is a significant difference in
people's amount of sleep before using the technique compared to after using the technique.
Which of the following describes the scientist's null and alternative hypotheses?
O null hypothesis: Hp = 0; alternative hypothesis: 4p=0
Onull hypothesis: 4y= 0; alternative hypothesis: 4p = 0
O null hypothesis: 44- = 0; alternative hypothesis: 4-430
O null hypothesis: 4-4370; alternative hypothesis: 4-12 = 0
Considering the situation described, the scientist's null and alternative hypothesis are described by:
Null hypothesis [tex]H_0: \mu = 0[/tex]; Alternative hypothesis [tex]H_1: \mu \neq 0[/tex].
What are the hypothesis tested?At the null hypothesis, it is tested if there is no difference, that is, the difference of the means represented by [tex]\mu[/tex] is of 0, hence:
[tex]H_0: \mu = 0[/tex]
At the alternative hypothesis, it is tested if there is a difference, hence:
[tex]H_1: \mu \neq 0[/tex]
More can be learned about an hypothesis test at https://brainly.com/question/26454209
help, please see picture, and explain: no decimals please,
[tex] - \sqrt{72} = - \sqrt{2 {}^{3} \times 3 {}^{2} } = - 2 \times 3 \sqrt{2} = - 6 \sqrt{2} [/tex]
[tex] - 4 \sqrt{8} = - 4 \sqrt{2 {}^{3} } = - 4 \times 2 \sqrt{2} = - 8 \sqrt{2} [/tex]
[tex] - \sqrt{72} - 4 \sqrt{8} = - 6 \sqrt{2} - 8 \sqrt{2} = - 14 \sqrt{2} [/tex]
A pet store is advertising that everything is 20% off the entire weekend. You also have a coupon for an additional 10% off your entire purchase after any store discounts. If the total bill is $56 before any discounts are applied, what will you pay after the discounts are applied?
What is the amount of the 20% discount? $______
What is the bill after the 20% discount? $______
What is the amount of the additional discount of 10%? $_______
What is the final cost after the additional discount? $_______
Answer:
The 20% discount is $11.2, the total after the discount is $44.8, the 10% discount is $4.48, the total after that discount is $40.32
Rational Expressions Multiplying I need to know how to do it
Answer:
(x -3)/4
Step-by-step explanation:
You multiply rational expressions the same way you multiply fractions. The numerator is the product of the numerators; the denominator is the product of the denominators. Same factors in numerator and denominator cancel to reduce the product to lowest terms.
[tex]\dfrac{3(x-3)}{3}\cdot\dfrac{x-7}{4(x-7}=\dfrac{x-3}{1}\cdot\dfrac{1}{4}=\boxed{\dfrac{x-3}{4}}[/tex]
We cancelled the factors of 3 from the first expression, and the factors of (x-7) from the second expression. The final product is the product of the reduced rational expressions.
Write the equation of the line in fully simplified slope-intercept form.
Answer:
y = mx + b is slope interform but you didn't supply a problem to put into it
PLEASE PLEASE HELP
Given <triangle> ABC is congruent to <triangle> XYZ, and m< A is 50°, m<Z is 40°, what is the m<B
90°
80°
70°
60°
Answer:
A triangle measures 180° , so you do 50°+40° =90° then you do 180°- 90° = 90° , Therefore your answer is A. Hope this helps bye:)
Answer:
90
180-40-50=90
the triangle have 180 angle so 180 minus with 40 and 50 and you will get the m<B angle
What is the overlap of Team 1 and Team 2? high medium low none.
The overlap of team 1 and team 2 whose data area expressed in the form of dot plot representation is high.
What is dot plot?The dot plot is the way of representation of the data. This data is plotted in the form of points or dots over an x-y axes. The dot plot is also known as the strip plot.
Figure of the dot plot of the team 1 and team 2 is attached below. The overlap of the team 1 and the team 2 has to be found out.
The overlaps mean in the dot plot is height, which both the graphs of dot plot have in same.
In the attached image, it seen that the overlap of the team one and team 2 is higher.
Hence, the overlap of team 1 and team 2 whose data area expressed in the form of dot plot representation is high.
Learn more about the dot plot here;
https://brainly.com/question/15853311
sioban scores 4 out of 10 marks in a science test
what is her score as a percentage
Answer:
40%
Step-by-step explanation:
4/10 = 40/100 = 40%
If you need further explanation, let me know!
- profparis
The sides of a river are parallel. Elizabeth is located at point E, and Jacoby is located at point J. They know that they are the same distance from the ends of the bridge B1B2. Kevin is located at point K. Which of the following can be used to prove that the two triangles are congruent and that Kevin is standing at the middle of the bridge? Select all that apply.
Answer: ASA, AAS
Step-by-step explanation:
Read the sentence. The person on trial for theft was found guilty by a jury, and once a jury announces a verdict, that decision is final. Which word in the sentence is the best clue to defining the word verdict?
A. theft
B. guilty
C. jury
D. decision
Answer:
The answer that yoy are looking for is D
Step-by-step explanation:
HOPE THIS HELPS :)
Answer:
D
Step-by-step explanation:
I did the quiz on edge
For rhis problem you will have to simplify correctly .
Answer:
Step-by-step explanation:
Answer:
The mistake was -9, the answer is 1x -6
Step-by-step explanation:
3 (x - 6) + (4x + 12) - 6x =
3x - 18 + 4x + 12 - 6x = (use distributive property for this step)
3x + 4x - 6x - 18 + 12 = (rearrange so like terms are easy to find)
1x - 6 (use addition and subtraction to get the final answer)
I hope this helps you :)
PLZ HELP!!!
A bag has 10 marbles-3 red, t blue, and 2 violet. One marble is drawn and then replaced, and this action is repeated 10 times. The results are recorded in the table.
Which of the given statements is true?
A.) The experimental probability of drawing blue is 1/2
B.) The experimental probability of drawing red is 1
C.) The experimental probability of drawing red is 1/10
D.) The experimental probability of drawing violet is 0
The experimental probability of drawing blue is 1/2. Then, option A is correct.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of sample
It is given that a bag has 10 marbles-3 red, t blue, and 2 violets. The blue marbles will be 5. One marble is drawn and then replaced, and this action is repeated 10 times.
The probability is calculated as:-
P = 5 / 10 = 1 / 2
To know more about probability follow
https://brainly.com/question/24756209
#SPJ2
Find the area of the polygon
pls help
area: 36 units²
area of parallelogram = base * height[tex]\hookrightarrow \sf 9 \ * \ 4[/tex]
[tex]\hookrightarrow \sf 36 \ units^2[/tex]
Area:-
Base×Height9(4)36units^2PLEASE ANSWER! WILL MARK BRAINLIEST!!
A student is running a 10-kilometer race. He runs 1 kilometer every 4 minutes. Select the function that describes his distance from the finish line after x minutes.
Answer:
|(x/4) - 10| or (x/4) - 10
hope this helps!!!
Answer:
Hope this help you!!
Have a good day
What is the total price of a $5 book with a 10% sales tax?
In the function f(3) = 9 the input is
Answer:
Your answer is 3
Step-by-step explanation:
3 x 3 = 9
Answer:
The answer is 3 like so take 9÷3=3 or 3x3=9.
coffe beans are packaged in 50 kg cartons with an allowable error of 0.7 percent what is the acceptable weight range for a carton of coffee beans?
Answer:
0.35
Step-by-step explanation:
you mutiply 50 times 0.7%
Answer:
It is 50.35 kg
Step-by-step explanation:
50 x 0.007 = 0.35 (I used 0.007 because you still have to move the decimal point two places even if it is already a decimal)
0.35 + 50 = 50.35 kg
I hope my answer helps :)
Evaluate x+y
when x=−4/5
and y=1/3
. Write your answer as a fraction or mixed number in simplest form.
Answer:
4/5+1/3=1 2/15
Step-by-step explanation:
1. 4x + 5
2.8x - 3
3. 1/2x - 4
4. 0.5x +3.5
4x + 5: m = 4
8x - 3: m = 8
1/2x - 4 = x/2 = -4
0.5x + 3.5: m = 0.5
solve pls brainliest
I believe the answer is 21/32
4. You put $420 into a savings account with an interest rate of 8% compounded annually which earns $33.60 over a period of time. How long was the period of time?
(how to find compound interest time)
Answer: 1 year
Step-by-step explanation:
[tex]\mathrm{Compound \ Interest \ Formula}\\$$\begin{aligned}&A=p\left(1+\frac{r}{n}\right)^{n t} \\&A=420+33.60=\$ 453.60 \\&p=\$ 420 \\&r=8 \% \\&n=1\end{aligned}$$[/tex]
[tex]\mathrm{Solving \ for \ t:}[/tex]
[tex]$$\begin{gathered}453.60=420\left(1+\frac{8}{100}\right)^{1 . t} \\453.60=420\left(\frac{108}{100}\right)^{t} \\\frac{453.60}{420}=\left(\frac{108}{100}\right)^{t} \\1.08=(1.08)^{t}\end{gathered}[/tex]
[tex]\mathrm{Taking \ log \ of \ both \ sides}\\\log 1.08=\log (1.08)^{t}$ \\\log 1.28=t \log (1.08)$ \\1=t$ \\$t=1$\\[/tex]
Therefore, the period of time taken to earn $33.60 was 1 year
can someone pls solve 8 < 4r < 12
8 < 4r < 12
Solve for r by dividing all terms by 4:
2 < r < 3