Answer:
The other solution is -0.56
Step-by-step explanation:
Quadratic equation :[tex]4x^2 + 45x + 24 = 0[/tex]
General quadratic equation : [tex]ax^2+bx+c=0[/tex]
Om comparing :
a=4
b = 45
c=24
Formula : [tex]x =\frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]
Substitute the values in the formula :
[tex]x=\frac{-45 \pm \sqrt{45^2-4(4)(24)}}{2(4)}\\x=\frac{-45 + \sqrt{45^2-4(4)(24)}}{2(4)},\frac{-45 - \sqrt{45^2-4(4)(24)}}{2(4)}\\x=-0.5613,-10.688[/tex]
So, One solution is −10.69.
So, Other solution is −0.56
Hence the other solution is -0.56
The second solution to this equation is −0.56.
Explanation:In the given quadratic equation 4x2 + 45x + 24 = 0, the quadratic formula is used to find the solutions, or roots, of the equation.
This formula is x = [-b ± sqrt(b² - 4ac)] / (2a).
For this specific equation, a is 4, b is 45, and c is 24.
Since it's already given that one root is -10.69, the other root should be obtained by substituting the values into the formula and choosing the alternative sign:
x = [-45 - sqrt(45² - 4*4*24)] / (2*4) this calculation would give −0.56, which is the other solution to the equation.
Learn more about Quadratic formula here:https://brainly.com/question/32591097
#SPJ3
Help Plzzzz
A section in a stained glass window is shaped like a trapezoid. The top base is 1 centimeter and the bottom base is 1.5 centimeters long. If the area of the section of glass is 4.5 square centimeters, how tall is the section?
Answer:
3.6 cm
Step-by-step explanation:
The area of a trapezoid is found by
A = 1/2 (b1+b2)*h
We know the area of 4.5 and the top is 1 and the bottom is 1.5
4.5 = 1/2 (1+1.5) h
4.5 = 1/2 (2.5) h
4.5 =1.25h
Divide each side by 1.25
4.5/1.25 = 1.25h/1.25
3.6 =h
Answer:
[tex]3.6 \: \: cm[/tex]
Step-by-step explanation:
[tex]area \\ 4.5 = \frac{1}{2}(a + b ) \times h \\ 4.5 = \frac{1}{2} (1 + 1.5) \times h \\ 4.5 = \frac{1}{2} \times 2.5 \times h \\ 4.5 = \frac{2.5h}{2} \\ 4.5 = 1.25h \\ \frac{4.5}{1.25} = \frac{1.25h}{1.25} \\ h = 3.6 \: cm[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
PLEASE HELP?!
Polygon LMNOP ~ Polygon QRSTU What is TU?
Answer:
The answer is B.
Step-by-step explanation:
9 : 12 = 3 : 4
12 : 16 = 3 : 4
Known :
LMNOP ~ QRSTU
OP = 12
LM = 9
QR = 12
Asked :
TU = ...?
Answer :
[tex] \frac{op}{tu} = \frac{lm}{qr} \\ \frac{12}{tu} = \frac{9}{12} \\ tu = \frac{12 \times 12}{9} \\ tu = \frac{12 \times 12}{3 \times 3} \\ tu = 4 \times 4 \\ tu = 16[/tex]
So, the side of TU is 16 (B)
Hope it helpful and useful :)
Super easy math I don’t feel like doing
Answer:
138 m
Step-by-step explanation:
True or False: All statements of equality below are correct. Please help!!
Answer:
True?
Step-by-step explanation:
i need help will give brainliest!!!
Answer:
B for the first one
Step-by-step explanation:
Answer: B.
Step-by-step explanation:
Order each set of numbers from least to greatest (10, -5, 3 16, -1, 0, 1)
Answer:
( -5,-1, 0, 1, 3, 10,16)
Step-by-step explanation:
Order of number from least to greatest is thus
( -5,-1, 0, 1, 3, 10,16).
idk if my answer is right pls help will give like and brainliest
Answer:
Yes that would be correct!
Step-by-step explanation:
You need 5a and 34 are needed in the equation and so is the x symbol
Answer:
Step-by-step explanation:
AB=(8/-4). BC=(6/4)
a) express AC as a column vector
Answer a) AC = (?/?)
if you ran a 26 mile marathon at an average speed of 10 mi/hr, how long would it take you to run the marathon?
Quincy folds a piece of cardboard to make the three sides of a triangular prism open at top
and bottom. The triangular prism and the piece of cardboard that he used are shown below.
What is the area of the piece of cardboard?
Answer:
500 cm2
Step-by-step explanation:
The dimensions of the prism are 7 cm, 9 cm and 20 cm.
So the three areas we want to find are three rectangles, with the sides:
7 cm and 20 cm, 9 cm and 20 cm, 9 cm and 20 cm
The area of each rectangle is:
rectangle_1 = 7 * 20 = 140 cm2
rectangle_2 = 9 * 20 = 180 cm2
rectangle_3 = 9 * 20 = 180 cm2
Summing all these three areas, we have:
Total area = 140 + 180 + 180 = 500 cm2
Answer:
500 Square Centimeters
1) Who in your class has the most pets?
2)How many times did you eat a peanut butter and jelly sandwich last week?
3) How many siblings do you have?
4) How many siblings does the average 6th-grade student have?
Which are the statistical questions? The correct answer gets brainliest
Answer:
How many siblings does the average 6th-grade student have?
Step-by-step explanation:
In order to know the average, you need to collect all the amounts of siblings 6th grade students have and then you need to add them all together and divide by how much numbers there are and you'll get your average.
Factor the polynomial by it’s greatest common monomial factor.
12k^3 - 30k^4
Answer:
6k^3(2 - 5k)
Step-by-step explanation:
12k^3 - 30k^4
Factor out 6k^3
6k^3(2 - 5k)
Answer:
[tex]6k^3(2-5k)[/tex]
Step-by-step explanation:
Find the GCF, 6.
Factor out [tex]6k^3[/tex]:
[tex]12k^3-30k^4\\6k^3(2-5k)[/tex]
Finito.
Evelyn planes to go to the fair with three of her friends. she needs to earn at least $60 yo attend the fair . if Evelyn earns $7.50 per hour babystting , how many hours Will she need to work in order to have enough Money to go to the fair with her friends?
Answer: 8 hours
Step-by-step explanation:
60$/7.5$ = 8
Answer:
8 hours
Step-by-step explanation:
60/7.5 = 8
Angle A and Angle B are
supplementary. ', angle A is 37
degrees, what is the measure of
angle B?
Answer:
143°
Step-by-step explanation:
supplementary = add to 180°
180°-37°=143°
Hope this helps :)
Kylie went on a road trip with her family. They traveled at an average speed of 50 miles per hour for 2.5 hours and then traveled at an average speed of 65 miles per hour for 3 hours. What was the total distance in miles that Kylie’s family traveled during this time?
Answer: 320 miles
Step-by-step explanation:
First, we need to make an equation. However, we can’t fight to label the variables:
t = total number of miles
h = number of hours
Now let’s set up our equation:
t = 50h + 65h
The good thing is that we know how many hours each speed was held for, so we can substitute it in the equation.
t = 50(2.5) + 65(3)
t = 125 + 195
t = 320
Therefore, the total number of miles traveled is 320.
The total distance in miles that Kylie’s family traveled during this time is 320 miles.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that Kylie traveled at an average speed of 50 miles per hour for 2.5 hours and then traveled at an average speed of 65 miles per hour for 3 hours.
First, we need to make an equation thus we have;
t = total number of miles
h = number of hours
Now let’s set up our equation as;
t = 50h + 65h
Now we can substitute it in the equation.
t = 50(2.5) + 65(3)
t = 125 + 195
t = 320
Therefore, the total number of miles traveled is; 320 miles.
Learn more about equations here;
https://brainly.com/question/25180086
#SPJ6
13 BRAINY POINTS + WILL MARK BRAINIST + 5 STARS + THANKS!!!!!!!!!
Answer: He is correct , equal to, equal to
Step-by-step explanation:
I think
mZRTU = 53
OmZQUR = 74
mZOST= 106
mZROS = 106
Answer:
Use a protractor
Step-by-step explanation:
Im still working on it give me a sec.
PLEASE HELP (WILL NAME BRAINLYEST)
The area of Australia/Oceania is approximately 7.69 × 106 square kilometers. Its population is approximately 3.11 × 107 people. What is the approximate population density (people per square kilometer) of Australia/Oceania? Write your answer in standard form. If necessary, round your answer to the nearest hundredth.
Answer: 3.11*10^7/7.69*10^63110/769 Answer:4.04
will I still get brainliest?
The population density of Australia/Oceania is calculated by dividing the total population (3.11 × 107 people) by the total area (7.69 × 106 square kilometers), which results in a density of approximately 4.04 people per square kilometer.
Explanation:To calculate the population density of Australia/Oceania, we need to divide the total population by the total area. The area of Australia/Oceania is approximately 7.69 × 106 square kilometers, and the population is approximately 3.11 × 107 people.
The calculation for population density is:
Population Density = Total Population / Total Area
So:
Population Density = 3.11 × 107 people / 7.69 × 106 square kilometers
This results in a population density of
Population Density = 4.04363 people per square kilometer (unrounded)
Rounded to the nearest hundredth, the population density is approximately 4.04 people per square kilometer.
Luis drank 12 gallons of juice from the carton how many quarts of juice did Luis drink
Luis drank 48 quarts of juice. This is calculated by multiplying the known quantity of 12 gallons by the conversion factor of 4 quarts per gallon.
Explanation:This question involves a unit conversion from gallons to quarts. In the US customary measurement system, we know that 1 gallon is equal to 4 quarts. Since Luis drank 12 gallons of juice, to find out how many quarts Luis drank we would perform the following multiplication:
12 gallons x 4 quarts/gallon = 48 quarts
Therefore, Luis drank 48 quarts of juice.
Learn more about Unit Conversion here:https://brainly.com/question/32030244
#SPJ2
Please help!!! Will give Brainly to the best answer!!!
Find the volume of a right circular cone that has a height of 7.6 in and a base with a
radius of 11.1 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
980.6
Step-by-step explanation:
V=πr2h
3=π·11.12·7.6
3≈980.5916
Answer:
980.6 in³
Step-by-step explanation:
V=[tex]\frac{1}{3} \pi r^{2} h\\[/tex]
H=7.6 R=11.1
V=[tex]\frac{1}{3} \pi r^{2} h[/tex]
V=[tex]\frac{1}{3} \pi (11.1)^{2} (7.6)[/tex]
V=980.59159815
V=980.6 in³
Answer quick please.
5/2 = 2.5
4/16 = 0.25
2.5/0.25 = 10
Your answer would be 10
hope it helps!
Can you please help me solve
1/2(4a+8b+2)
Answer:
hey try photomath
Step-by-step explanation:
.
Answer:
Step-by-step explanation:
[tex]\frac{1}{2}(4a+2b+2)=\frac{1}{2}*2*(2a+b+1)\\\\=2a+b+1[/tex]
I found $3200 in an envelope near my
house. I turned it into the police because it
seemed very suspicious! They said that if
no one claimed it in three years, then I
would get all of the money plus interest.
They put the money into an account that
pays 7.5% interest compounded monthly.
If no one claims the money, how much
would I get at the end of the three years?
A.6379.80
B.12,396
C.4328.53
D.4004.63
Answer:
The answer is C
Step-by-step explanation:
I did the math
What is the solution set for
X=-24 and x=-8
X=-24 and x = 24
X=-8 and X=8
X=-8 and x = 24
Answer:
i'm pretty sure it's B. X=-24 and x=24
Step-by-step explanation:
You spin the spinner, flip, a coin, then spin the spinner again. Find the probability of the compound event. The probability of spinning an odd number, not flipping heads, then not spinning six is?
Answer:
20/81.
Step-by-step explanation:
There are 5 odd numbers in 1 to 9 and 4 even ones.
Prob(Odd number on first spin) = 5/9
Prob(Not flipping heads on second) = 1/2
Prob(Not spinning a 6 on third ) = 8/9
The compound probability is found by multiplying the above ( because each trial is independent of the others):
Answer = 5/9 * 1/2 * 8/9
= 40/162
= 20/81.
Find the surface area of the following composite shape.
Answer:
130.3 ft²
Step-by-step explanation:
Surface area is the sum of areas of outer faces
2 rectangles + 2 triangles + curved surface area of the cylinder
2(4×6) + 2(½×6×5) + 2×3.14×(2/2)×4
48 + 30 + 25.12
103.12 ft²
HA
Jin recorded the ages (in years) for a sample of 4 zebras from a wildlife preserve. Here are the ages:
2,9, 14, 15
The mean of these ages is 7 = 10 years.
What is the standard deviation?
Round your answer to two decimal places.
8,
years
Answer:
5.94
Step-by-step explanation:
Given the following information:
Ages of 4 zebras from a wildlife
2,9, 14, 15=> the sample mean of this date is
= [tex]\bar X = \frac{\sum_{i=1}^n X_i}{n}[/tex]
=[tex]\bar X = \frac{2+9+14+15}{4}= 10[/tex]
The standard deviation can be determined by using this formula:
[tex]s = \sqrt{\frac{\sum_{i=1}^n (X_i-\bar X)^2}{n-1}}[/tex]
<=> [tex]s = \sqrt{\frac{(2-10)^2 +(9-10)^2 +(14-10)^2 +(15-10)^2}{4-1}} =5.94[/tex]
What is the equation of the quadratic function with a vertex at (2,-25) and an x-intercept at (7,0)?
f(x) = (x - 2)(x-7)
f(x) = (x + 2)(x + 7)
f(x) = (x – 3)(x + 7)
f(x) = (x + 3)(x – 7)
Answer: f(x) = (x + 3)(x – 7)
Step-by-step explanation: Use "standard form" of the function and insert values given: vertex (2,-25) intercept point (7,0)
f(x) = a(x-h)² + k from vertex, h is 2 y is -25 from intercept, x is 7 f(x) is 0
to find a, 0 = a(7-2)² +(-25) 0 = a(7-2)² -25 add 25 to both sides
25 = a(5)² 25 = 25a 25/25 = a 1=a (seems useless but verifies implied "a"coefficient is 1)
f(x) = a(x-h)² + k solve to get the quadratic form
f(x) = (x-2)² -25 (x - 2)² is x² -4x +4
f(x) = x² -4x +4 -25 simplify
f(x) = x² -4x - 21 then factor
f(x) = (x + 3)(x - 7)
Answer:
f(x) = (x + 3)(x - 7)
Below is the graph of a trigonometric función. It has a maximum point at (-pi, 6.8) and a minimum point at(pi,1.2)
What is the midline equation of the function?
Answer:
4
Step-by-step explanation:
trust me bro