Which of the following are solutions to the equation below?
Check all that apply
4x2+ 32x+60 = 0
A. 5
B. -5
C. -32
D. - 3
E. 3
Answers
Answer:
B and D
Step-by-step explanation:
Given
4x² + 32x + 60 = 0 ( divide all terms by 4 )
x² + 8x + 15 = 0
Consider the factors of the constant term (+ 15) which sum to give the coefficient of the x- term (+ 8)
The factors are + 5 and + 3 , since
5 × 3 = 15 and 5 + 3 = 8 , thus
(x + 5)(x + 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5 → B
x + 3 = 0 ⇒ x = - 3 → D
The solution of the equation are,
x = - 5
x = - 3
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
Now, We can simplify as;
4x² + 32x + 60 = 0
divide all terms by 4;
x² + 8x + 15 = 0
x² + 5x + 3x + 15 = 0
(x + 5)(x + 3) = 0
x = - 5
x = - 3
Thus, The solution of the equation are,
x = - 5
x = - 3
Learn more about the quadratic equation visit:
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Related Questions
A. Simplify: -12/2 =
2. -8/ -2 =
3. ( -3)(2)(-4) =
4. (4)(-3)(-6)(2)=
5. (1/2)(-6)(1/4)(-8) =
B. On your Own
a. Make 10 multiplication of integers with 3 terms each
b. Make 20 divisions of integers.
C. Use a calculator
Answers
#2- -4
#3- 24
#4- 144
#5- 6
Don’t know the rest sorry
-4
24
144
6
I only have time for those ): I hope this helps you pass!
Which list orders the numbers from least to greatest?
Negative 2.4, negative 1.5, negative 2 and one-fourth, negative 3, negative 1 and one-eighth
A number line going from negative 4 to positive 4.
Negative 1 and one-eighth, negative 1.5, negative 2 and one-fourth, negative 2.4, negative 3
Negative 3, negative 2.4, negative 2 and one-fourth, negative 1.5, negative 1 and one-eighth
Negative 3, negative 2 and one-fourth, negative 2.4, negative 1 and one-eighth, negative 1.5
Negative 1.5, negative 1 and one-eighth, negative 2.4, negative 2 and one-fourth, negative 3
Answers
Negative 3, negative 2.4, negative 1.5, negative 2 and one-fourth, negative 1 and one-eighth
Hope my answer helps you✌️
What is the absolute value of –6? Use the number line to help answer the question. A number line going from negative 7 to positive 7. Points are at negative 6 and 0. –7 –6 6 7 PLS ANSWER
Answers
Mark the locations -6 and 0 on the number line. Note that going from -6 to 0, or vice versa, will take exactly 6 steps. Put another way, the distance between 0 and -6 is 6 units. Absolute value represents distance, so it is never negative.
We say \(|-6| = 6\)
Effectively, all we're doing is removing the negative sign.
Answer
6its6666666666666666666666
Step-by-step explanation:
It's the image that's attached
Answers
Answer:
it has infinitely solution's
Jim bought 5 packs of red bouncy balls, 2 packs of yellow bouncy balls, and 7 packs of green bouncy balls. There were 7 bouncy balls in each package. How many bouncy balls did Jim buy in all?
Answers
Answer:
108 bouncy balls
Step-by-step explanation:
2*7=14
5*7=35
7*7=49
14+35+49+108
HELP PLEASE! 15 POINTS! I'LL GIVE BRAINLIEST
Answers
Answer:
Step-by-step explanation:
Dog: 40
Cat: 50
Other: 110
Cat 50
Other 110
You have a pizza with diameter 12
2
3 in., and a square box that is 12.65 in. across. Write 12
2
3 as a decimal. Can you fit the pizza inside the box?
What is the decimal expansion for 12
2
3?
A.12.6
B.12.65
C.12.6
D.12.66
pls help me
Answers
Answer:
D is the right choice and no you cannot fit the pizza inside the box.
Step-by-step explanation:
D is the answer because to turn 2/3 into a decimal you would divide 2 by 3 and the answer you would get would be 0.66666666666...You would then add 12 to the answer and get 12.6666... Once you get this answer you would round it to the hundredths to get 12.67 but since that is not an option you could use D, 12.66 inches.
Answer:
I believe the answer is D.
Step-by-step explanation:
Please answer the pictures
Answers
Answer:
X = -55
Step-by-step explanation:
(ANswer quickly please!) giving brainliest !!!
Last summer, a sports club had 380 members. This summer, due to some renovations, it has 30% more members. How many members are there now?
Answers
Answer:
494
Step-by-step explanation:
380 * 1.3 = 494
"Find the missing side. Round to the nearest tenth when necessary.
Answers
root 18^2-9^2 = 15.58 ~ 15.6
Answer:
15.6
Step-by-step explanation:
I NEAD HELP ASAP The Lewis family dined at a restaurant. Their bill came to $52, and they plan on leaving a 19% gratuity. This means that the total amount they will pay is 119% of the bill. Which calculation results in the best estimate of the total amount they will pay in dollars? Assume there is no tax. (50) (110 percent) = (50) (100 percent + 10 percent) = (50) (100 percent) + (50) (10 percent) = (50) (1.0) + (50) (0.1) = 50 + 5 = 55 (50) (120 percent) = (50) (100 percent + 20 percent) = (50) (100 percent) + (50) (20 percent) = (50) (1.0) + (50) (0.2) = 50 + 10 = 60 (60) (110 percent) = (60) (100 percent + 10 percent) = (60) (100 percent) + (60) (10 percent) = (60) (1.0) + (60) (0.1) = 60 + 6 = 66 (60) (120 percent) = (60) (100 percent + 20 percent) = (60) (100 percent) + (60) (20 percent) = (60) (1.0) + (60) (0.2) = 60 + 12 = 72
Answers
Answer:
Step-by-step explanation:
multiply 52 times 90% +52
Answer:
Option B is the correct answer.
Explanation:
The image below is the correct answer.
Someone help mee please
Answers
Answer:
Step-by-step explanation:
If triangle ABC is translated 2 units up and 2 units right, that means that all the vertices of the triangle are translated by the same units 2 up and 2 right.
The angle sum property of a triangle;
80 + 26 + B = 180
B = 180 - 106
B = 74
So, the answer is 74 degrees.
154/2=77
The answer is 77 degrees
Hope this helps
Find the volume of the triangular prism; do not round.
Answers
Answer:
\(\boxed{\mathtt{Volume=33.55m^{3}}}\)
Step-by-step explanation:
\(\textsf{For this problem, we are asked to find the Volume of a Triangular Prism.}\)
\(\large\underline{\textsf{What is Volume?}}\)
\(\textsf{Volume is the amount of space a figure occupies. Volume is measured in Cubic units.}\)
\(\large\underline{\textsf{We are Given;}}\)
\(\textsf{The Height is 6.1m. Keep in mind that the Height is the Perpendicular Distance}\)
\(\textsf{between 2 bases.}\)
\(\textsf{The base is; (4.4 x 2.5).}\)
\(\textsf{The Height of the Triangle is 2.5m.}\)
\(\large\underline{\textsf{Necessary Formulas;}}\)
\(\mathtt{Volume=(Base) \times Height}\)
\(\mathtt{Area = \frac{1}{2} (Base \times Height)}\)
\(\large\underline{\textsf{For this Problem;}}\)
\(\mathtt{Volume=(Triangles' \ Area) \times Height}\)
\(\large\underline{\textsf{The area of a Triangle is;}}\)
\(\mathtt{Area = \frac{1}{2} (Base \times Height)}\)
\(\textsf{Find the area of the base first.}\)
\(\large\underline{\textsf{Substitute;}}\)
\(\mathtt{Area = \frac{1}{2} (4.4 \times 2.5)}\)
\(\boxed{\mathtt{Area = 5.5m^{2}.}}\)
\(\textsf{We know the Base, now let's find the volume of the figure.}\)
\(\large\underline{\textsf{Substitute;}}\)
\(\mathtt{Volume=5.5 \times 6.1}\)
\(\boxed{\mathtt{Volume=33.55m^{3}}}\)
\(\huge\text{Hey there!}\)
\(\huge\textsf{Find the \boxed{\bf volume} of a triangular prism is:}\)
\(\mathsf{\dfrac{1}{2}(\boxed{\bf b}ase\times\boxed{\bf h}eight\times\boxed{\bf l}ength) = \boxed{\bf v}olume}\)
\(\huge\textsf{Your \boxed{\bf equation} should look like:}\)
\(\mathsf{volume = \dfrac{1}{2}(4.4\ m \times 2.5\ m\times 6.1\ m)}\)
\(\huge\textsf{\boxed{\bf Step-by-step} explanation can be:}\)
\(\mathsf{volume = \dfrac{1}{2}(4.4\ m \times 2.5\ m\times 6.1\ m)}\)
\(\mathsf{volume = \dfrac{1}{2}\times 4.4\ m \times 2.5\ m\times 6.1\ m}\)
\(\mathsf{volume = 0.5\times 4.4\ m \times 2.5\ m\times 6.1\ m}\)
\(\mathsf{volume = 2.2\ m\times 15.25\ m}\)
\(\mathsf{volume = 33.55}\)
\(\huge\textsf{Therefore your \boxed{\bf answer} should be:}\)
\(\huge\boxed{\mathsf{volume = 33.55m^2}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
Which table shows a proportional relationship between weight and price?
PLS HELP MEE!! I'LL MARK IF RIGHT!!
Answers
2 oz - $4
4 oz - $8
In this pattern the next numbers would be:
6 oz - $12
8 oz - $16
PLS ANSWER!!!
How did the temperature change if:
at first it increased by 5% then increased by 20?
It increased by (increased or decreased) By ( what)%?
Answers
Answer: 25%
Step-by-step explanation: 5 + 20 = 25
why? If the tempture starts off by increasing by 5 that means you start with 5% then you add 20% to that since it increases, which leads you to 25%!
YOU BE THE TEACHER Your friend finds the slope of the line shown. Student work is shown. A line graphed on a coordinate plane. The line passes through the points at ordered pair 2 comma 3 and ordered pair 4 comma 1. A calculation is shown for the slope of the line. The first line reads, m equals start fraction 3 minus 1 over 4 minus 2 end fraction. The second line reads, equals start fraction 2 over 2 end fraction. The third line reads, equals 1.
Answers
Answer:
The slope of the line is -1
help me and i will friend u
Answers
Bryan was given the equation y = -5x + 3. He says the rate of change is 3 and the initial value is -5. Is Bryan correct?
Answers
Answer:
No, he is not correct. The initial value is 3, and the rate of change, or in graphing, the slope, is -5.
Step-by-step explanation:
so basically you can just tell me where the boxes go and bam you get 20 points
Answers
Step-by-step explanation:
(2/3)(-4)(9) = -24
(5/16)(-2)(-4)(-4/5)= -2
(-3/4)(7/8)=-21/32
(2 3/5) (7/9)=91/45
(5/6) x (-2)(-4) x (-4/5) -> -2
(-3/4) x (7/8) -> -21/32
(2 3/5) x (7/9) -> 91/45
I NEED HELP ASAP with a science experiment give me ideas what experiments (mini-labs) I could do based on the task! READ THE SCREENSHOT
Answers
Answer: You should do a representation of how the heat and light waves reach humans on earth and keep us warm.
Step-by-step explanation:
all your answers are already in the task introduction.
1. Make earth out of styrofoam ball (buy at a dollar store) and paint. (blue and green). (If you want to make humans out of popsicle sticks)
2. Use velvet pipe cleaners (blue for cold air and red for hot air) to represent convection and conduction.
3. Use yellow pipe cleaners for solar energy to represent radiation.
4. Rest is up to you for how you want it to look.
The bottem half is the answers help pls for big brainnnnnn
Answers
Answer:
C
Step-by-step explanation:
11 times 4 is 44 plus 5 is 49
Please solve y3 + y3 +z3 = k
solve for k
Answers
Answer:
k = 2y^3 + z^3
Step-by-step explanation:
answer found by simplifying both sides of the equation, then isolating the variable.
help asap please due today
i need to know where it will be placed on the grid ( picture is attached )
not the actual number higher
Tomas is planning out a rail trail using a map with a marked grid. The head of the trail, which has an information kiosk, is located at (3, 0). He moves 1 unit east and 3 units north and places a pin at (4, 3) to represent the location of another information kiosk. He continues to move 1 unit east and 3 units north twelve more times, placing a pin each time. Where will the last pin be placed?
picture attached
Answers
Answer: its (6,5)
Step-by-step explanation:
Answer:
(6,9)
Step-by-step explanation:
You move the pin once to the left and three to the top, and at the end, it will reach (6,9) since there is no more grid to move it to.
HELP LIKE ASAP!!!!!!!!!!!!!!!!
Answers
Answer: A C and D
Step-by-step explanation:
What I did was look at point A, we see it starts at (-8, 6) this means that if it were to be shifted right 9 and down 4 we would get (1, 2). so, all the answers claiming that the points were shifted right 9 and down 4, or x+9 y-4 are correct.
your answer would be the first option the 3rd and the last option
Jacob has driven 204 miles in three hours. If his speed remains constant, what will be the total number of miles covered in 4 1/2 hours?
Responses
306 miles
102 miles
918 miles
272 miles
Answers
Explanation:
We can work this out easier with simpler numbers. To get these we can do 204 divided by 3. We do this to find the miles he travels in just one hour. Then, we can multiply this (68) by 4 and 1/2. 68 X 4 1/2 = 306
Robin wants to buy a membership at a carwash this summer so that she can keep her car clean. She compared deals from Speedy Clean Carwash and Sudsy Bubbles Carwash to decide which membership to get. Robin arranged the information in the tables below.
How many times will Robin need to wash her car to spend the same amount at both carwashes?
P.S.: I attached the table below:)
Answers
Ann starts to use the standard algorithm to solve 592 *7. Her work is shown below. What number should Ann replace h with?
Answers
Answer:
she should replace h with 6
2.35 divided by 12 and to the nearest whole number. please explain how you got your answer.
Answers
Answer:
0
Step-by-step explanation:
If you divide 2,35 by 12 you get 0.1958333333, which rounds to 0.
Answer:
0
Step-by-step explanation:
2.35 / 12 = 0.1958333...
2.35 = 47 / 20
47 / 20 ÷ 12 / 1
47 / 20 x 1 / 12 = 47 / 240
47 / 240 = 0.1958333....
0.1958333... rounded to the nearest whole number is ZERO. Because 1 is smaller than 4, which means that you would not round up.
If a stretch of mountain road covers a horizontal distance of 0.5 mile and has a vertical drop of 200 feet, find the percent grade of the road and the length of the actual stretch of road.
Answers
Answer:
3x-x+2=4
Step-by-step explanation:
The % grade is: rise/run = 20/2640 = 0.76%
sqrt(20^2+2640^2) = sqrt(6970000) = 2640.1 feet is the length of the actual stretch of road, or 0.5 miles
Pls help me in math, I need this tomorrow, thx :)
Answers
Answer: Range and mean = 8 of both
variance of Set X= 4.7
variance of Set Y= 4.6
Step-by-step explanation:
Two sets of data, set X and set Y are given
a.) Range is the difference of the highest value and the lowest value,
Therefore, Range of set X = 12-4=8
Range of set Y = 12-4=8
Now, Mean of a given data set is the average of all the terms present in the given data set
Mean of set X= Σxif/n = (4+5+6+7+16+18+24)/10 = 8
Mean of set Y= (4+5+7+32+20+12)/10= 8
Therefore, both the data sets has same range and mean.
b.) Standard deviation tells about the variability of the date and is given by,
S.D= σ = √∑ ( X − μ )^2/n
S.D of set X= √(16+9+4+1+0+1+16)/10= √4.7
S.D of set Y= √(16+9+1+0+4+16)/10= √4.6
Variance is the square of S.D, that is, σ^2
Therefore, variance of set X=4.6
variance of set Y= 4.7
c.) The calculated variances of set X and set Y are 4.7 and 4.6 respectively. It implies that the data is more distributed or varied in set X than in set Y. In the other words, data in set Y is more consistent data than of set X.
To learn more about S.D and variance,
https://brainly.com/question/15858152
https://brainly.com/question/12402189
Answer: Range and mean = 8 of both
variance of Set X= 4.7
variance of Set Y= 4.6
Step-by-step explanation:
We know
a.) Range is the difference of the highest value and the lowest value,
Therefore, Range of set X = 12-4=8
Range of set Y = 12-4=8
Now, Mean of a given data set is the average of all the terms present in the given data set
Mean of set X= Σxif/n = (4+5+6+7+16+18+24)/10 = 8
Mean of set Y= (4+5+7+32+20+12)/10= 8
also
b.) Standard deviation tells about the variability of the date and is given by,
S.D= σ = √∑ ( X − μ )^2/n
S.D of set X= √(16+9+4+1+0+1+16)/10= √4.7
S.D of set Y= √(16+9+1+0+4+16)/10= √4.6
Variance is the square of S.D, that is, σ^2
Therefore, variance of set X=4.6
variance of set Y= 4.7
c.) The calculated variances of set X and set Y are 4.7 and 4.6 respectively. It implies that the data is more distributed or varied in set X than in set Y. In the other words, data in set Y is more consistent data than of set X.