Answers
Answer:
The quadratic equations and their solutions are;
9 ± √33 /4 = 2x² - 9x + 6.
4 ± √6 /2 = 2x² - 8x + 5.
9 ± √89 /4 = 2x² - 9x - 1.
4 ± √22 /2 = 2x² - 8x - 3.
Explanation:
Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.
We have to solve all of the five equations to be able to match the equations with their solutions.
2x² - 8x + 5, here a = 2, b = -8, c = 5. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4. 24 can also be written as 4 × 6 and √4 = 2. So x = 8 ± 2√6 / 2×2= 4±√6/2.
2x² - 10x + 3, here a = 2, b = -10, c = 3. x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.
2x² - 8x - 3, here a = 2, b = -8, c = -3. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4. 88 can also be written as 4 × 22 and √4 = 2. So x = 8 ± 2√22 / 2×2 = 4± √22/2.
2x² - 9x - 1, here a = 2, b = -9, c = -1. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4. x = 9 ± √89 / 4.
2x² - 9x + 6, here a = 2, b = -9, c = 6. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4. x = 9 ± √33 / 4 .
Step-by-step explanation:
Related Questions
Branden and Janna are analyzing the same conditional statement. Branden finds multiple examples that validate the conditional statement. Janna finds one example that satisfies the hypothesis of the conditional statement, but not the conclusion. Which must be true? The conditional statement is true. There are more examples that validate the statement than there are that do not. The conditional statement is true. There is at least one example that validates the statement. The conditional statement is false. There is at least one counterexample for the statement. The conditional statement is false. There must be exactly one example that validates the statement.
Answers
Answer:
C. The conditional statement is false. There is at least one counterexample for the statement.
Step-by-step explanation:
took the quiz
Five sandwiches and four drinks cost £20. Two sandwiches and five drinks cost £8. Find the cost of one sandwich.
Answers
Answer:
2.5
20 divided by 8 equals to 2.5
In Science class, students are tracking the amount of rainfall. So
far, it has rained 6 inches in 15 days. If this rate continues, how
much rain will accumulate after 40 days?
Answers
Answer:
100 inches
Step-by-step explanation:
15/6=2.5
40*2.5=100 inches
11 devided by 108?! plz
Answers
Answer:
[tex]11 \: devided \: by \: 108 = \frac{11}{108} = \boxed{0.1018518519} \\while \to \\ 108 \: devided \: by \: 11= \frac{108}{11} = \boxed{9.8181818182} \\ [/tex]
Answer: 11 divided by 108 = 0.10185185185
108 divided by 11 = 9.81818181818
Step-by-step explanation:
A milk truck is driving around town. What is the volume of the milk truck?
Length: 6
Width: 4
Height: 6
Answers
Answer:
[tex]144[/tex] cubic units
Step-by-step explanation:
We can assume that the truck is a rectangular prism since we're given its length, width, and height. To find the volume of a rectangular prism, simply multiply its length, width, and height together. As an algebraic expression, this would be [tex]l*w*h[/tex], where [tex]l[/tex], [tex]w[/tex], and [tex]h[/tex] are the prism's length, width, and height, respectively.
In this case, we are given that [tex]l=6[/tex], [tex]w=4[/tex], and [tex]h=6[/tex]. Therefore, the volume of the milk truck is [tex]6*4*6=144[/tex] cubic units. Hope this helps!
Answer: 144 feet³
Step-by-step explanation: To find the volume, mutiply the Length, Width, and Height. Or we can use the formula.
Rectangular Tank Volume Formula: L x W x H
As we see, 6 is the Length. 4 is the Width and 6 is the Height.
So, we can multiply the Length, Width, and Height to get the volume.
6 x 4 x 6 = 144 feet³
Therefore, the answer is 144 feet³
at a school 111 students play at least one sport this is 30% of the students at the school how many students are at the school
Answers
Mark as Branliest if you like the answer and want to be ansewered frequently within no time
There is a flu outbreak at your school that starts with 10 people. The number of ill students increases by 20% each hour. Write an exponential function to represent the total number of ill students, f(x), where x is the number of hours after the outbreak. How long does it take for at least 100 people to be ill with the flu?
please explain how you do the problem
thank you
Answers
Answer:
y = (10 * 0.2) ^ x
Y = (2)^x
Y = 2^x + 10
6.5 hours
Step-by-step explanation:
Y is the number of people at the school who have been infected with the flu. The 10 is the initial number of infected students which is a constant so it does not change. The 0.2 is the rate of increase, or 20%. The x exponent is the number of hours so that is a changing number. Your answer is 2 to the power of the number of hours which is x. Add ten after that to get your number. to get 100 people ill, it would take about 6.5 hours.
HEEEEEEEELLLLLLPPPPPPPPP Graph the equation using the slope and y-intercept y = 1/3x + 4
Answers
Answer:
Step-by-step explanation:
PLEASE HELP!!!!!!!A storekeeper increased the price of hats by 5%.
If the price of a hat (after the increase) is $33.60, what
is the original price?
and Explain!!!!!
Answers
Answer:
$31..92 is the original price
Step-by-step explanation:
how many inches are in a feet
Answers
Answer:
1 foot = 12 inches
Step-by-step explanation:
A boat traveled 240 miles downstream and back. The trip downstream took 12 hours. The trip back took 24 hours. What is the speed of the boat in still water? What is the speed of the current?
Answers
Answer:
rate boat = 15 mph
rate current = 5 mph
explanation:
d = r * t
t = d/r
240 / (r_boat + current) = 12 Multiply both sides by r_boat + r_current.
240 = 12(r_boat + current)
240/ (r_boat - current) = 24 Multiply both sides by r_boat - r_current
240 = 24*(r_boat - current)
Since the distances are the same in both equations, you can equate the right side of each.
12 (r_boat + current) = 24(r_boat - current) Divide by 12
r_boat + current = 2 (r_boat - current) Remove the brackets.
r_boat + current = 2*r_boat - 2* current add 2 currents to both sides
r_boat + 3currents = 2*r_boat Subtract r_boat both sides
3 currents = r_boat.
240 = 12*(r_boat + current. Divide by 12
20 = r_boat + current Put 3 currents in for r_boat
20 = 3currents + 1 current Combine
20 = 4 currents Divide by 4
5 = current
The rate of the current = 5 miles / hour
3 currents = r_boat
3*5 = rate_boat
15 = rate of the boat
The ratio of raspberries to strawberries is 1:7. If there
are 147 strawberries, how many raspberries are
there?
Answers
Answer:
21 RASBERRIESStep-by-step explanation:
THERE ARE 147 STRAWBERRIES.
THE RATIO OF RASBERRIES TO STRAWBERRIES ARE 1:7
THEN,
THE AMOUNT OF RASBERRIES ARE 1/7 TIMES OF THE STRAWBERRIES.
SO,THERE ARE (147×1/7) or,21 RASBERRIES.
SO THE ANSWER IS: THERE ARE 21 RASBERRIES...
ANSWER THIS QUESTION PLZ PLZ PLZ!!!!!
Answers
Answer:
A
Step-by-step explanation:
Add all the numbers, divide the number of seniors by the total, thats the answer.
Find the median of 19, 29, 36, 15, and 20. Show all the steps that you took to find your answer.
Answers
Answer:
15,19,20,29,36
N=5
Median =n+1/2
=6/2
=3
Terfore 3rd absorbation is meadian
:. 20 is the answer
Work out the coordinates of the midpoint of AB
Answers
Answer:
a) It is clear that point A is located at x = -2, and y = -1, therefore, the coordinates of point A are: A(-2, -1)
b) We can plot the point B (-2, 4) on the grid at x = -2 and y = 4.
Please check the attached graph.
c) The coordinates of the midpoint of AB: [tex]\left(-2,\:\frac{3}{2}\right)[/tex]
Step-by-step explanation:
Part a)
Important Tip:
The coordinates of point A can be determined by checking the location of point A.It is clear that point A is located at x = -2, and y = -1, therefore, the coordinates of point A are:
A(-2, -1)Part b)
We can plot the point B (-2, 4) on the grid at x = -2 and y = 4.
Please check the attached graph.
Part c)
We can determine the coordinates of the midpoint of AB using the formula
[tex]M.P_{AB}=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
In our case, we have:
A(x₁, y₁) = A(-2, -1)
B(x₂, y₂) = B (-2, 4)
so substituting [tex]\left(x_1,\:y_1\right)=\left(-2,\:-1\right),\:\left(x_2,\:y_2\right)=\left(-2,\:4\right)[/tex] in the formula
[tex]M.P_{AB}=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
[tex]=\left(\frac{-2-2}{2},\:\frac{4-2}{2}\right)[/tex]
Refine
[tex]=\left(-2,\:\frac{3}{2}\right)[/tex]
Therefore, the coordinates of the midpoint of AB: [tex]\left(-2,\:\frac{3}{2}\right)[/tex]
Find three consecutive even integers such that the sum of the smallest and the largest is 36.
Answers
Answer:
Step-by-step explanation:
The consecutive even integers are (2n-2), (2n), and (2n+2), where n is an integer.
(2n-2) + (2n+2) = 36
4n = 36
n = 9
(2n-2) = 16
(2n) = 18
(2n+2) = 20
What is angle m
This is geometry
Answers
Step-by-step explanation:
<HAM+<HAJ=180 LINEAR PAIR
<HAM=180-<HAJ=180-42=138IS YOURANSWER
Answer:
138°
Step-by-step explanation:
∠JAM = 180°
∠JAH = 42°
∠JAH + ∠HAM = 180° because they are supplementary
42° + ∠HAM = 180°
∠HAM = 180°-42°
∠HAM = 138°
Find the slope between each pair of points.
(5, 9) and (3, 9)
Answers
Answer:
0
Step-by-step explanation:
slope= y2-y1/x2-x1 = 9-9/3-5=0/-2 =0
Nell's mortgage is $50,150 at 10 percent for 30 years.
What is her monthly payment if she must pay $8.78 per $1,000?
Answers
Answer:
The correct option is a.
Step-by-step explanation:
It is given that Nell's mortgage is $50,150 at 10 percent for 30 years and she must pay $8.78 points per $1,000.
EMI on $1000 is $8.78, so EMI on $1 is
EMI on $1 = 8.78/1000 = 0.00878
EMI on $50150 is
EMI on $50150 = 0.00878 x 50150 = 440.317 = 440.32
Therefore the correct option is a.
Hope this help you! ^_^
Write the equation of a line that passes through the point (0, 3) and (-4, 11). *
Answers
Answer:
y = -2x + 3.
Step-by-step explanation:
The slope = (11-3)/(-4-0)
= 8/-4
= -2.
Using the point-slope form of a straight line:
y - y1 = m(x - x1)
Here m = -2 and (x1, y1) = (0,3). then
y - 3 = -2(x - 0)
y - 3 = -2x
y = -2x + 3.
PLEASE NEED DONE ASAP WHOLE THING
Answers
Answer:
it's sideways please turn it so i can read it and help.
Step-by-step explanation:
400 sayısının %43 fazlası kaç eder
Answers
Answer:
cevap =560...........
pleasee helpp answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
BDE
or
EDB
Step-by-step explanation:
Make the marked angle, D, your center point. Find the two other points of the angle, E and B. write them in order, forwards and backwards.
Match the following expression 12(x-3)+18=4(2x-3) with the number of solutions below.
A.One solution?
B.No solution ?
Or
C.All solution?
Answers
12x-36+18 = 8x-12
12x -18 = 8x-12
12x-8x = -12 + 18
4x = 6
x = 6/4 or 3/2
one solution A
Answer:
3/2, one solution.
Step-by-step explanation:
12(x-3)+18=4(2x-3)
12x-36+18=8x-12
12x-8x-18=-12
4x-18=-12
4x=-12+18
4x=6
x=6/4
simplify
x=3/2
Please help me with these questions guys
Answers
Answer:
6m
Step-by-step explanation:
You need to use trigonomtery: SOHCAHTOA
Since we are looking for the height, we should use the Sine rule:
Sine(37) = opposite/hypotenuse
We already have our hypotenuse which is 10
sine(37) = opposite/10m
Now we re-arrange to find the opposite(which is our height)
opposite = 10m x sine(37)
opposite = 6.018
Therefore height = 6 to the nearest metre
Hope this helps :)
please help me i have asked my all my friends and they don’t know
Answers
Answer:
1. Similar 6:1
2. Not Similar
3. Similar 6:5
Step-by-step explanation:
Okay
27n⁵+75n³ (Factor completely)
Answers
Answer:
3n^2 (9+25n)
Step-by-step explanation:
[tex]\tt{}27n^{5} + 75 {n}^{3} [/tex]
[tex]\tt{} {3n}^{2} \times (9 {n}^{2} + 25)[/tex]
Find the solution to the following system of equations using substitution or elimination y=-2x+7 y=3x-8
Answers
Answer:
x = 3, y = 1
Step-by-step explanation:
By substitution since y = -2x + 7, substitute that for the 2nd y so
-2x +7 = 3x - 8, so x = 3, then substitute the 3 in any of the equations, so y = -2(3) + 7 is equal to 1
If you use elimination you can subtract the two equations from each other to get rid of the y so
y = -2x + 7
-y = -3x + 8
so 0 = -5x + 15, 5x = 15, x=3
what number lies between 9.05 and 9.06 on the number line
Answers
Answer: 9.055
Step-by-step explanation:
The number between 9.05 and 9.06 will be 9.055.
What is a number system?A numeral system is a way of writing numbers; it's a way of mathematically notating a collection of numbers by utilizing a consistent set of digits or other symbols. In several numeral systems, the same set of symbols may represent various numbers.
Given numbers are 9.05 and 9.06. The number between 9.05 and 9.06 will be 9.055.
The number is also plotted on the number line between the numbers 9.05 and 9.06. The number line graph is attached with the answer below.
Therefore, the number between 9.05 and 9.06 will be 9.055.
To know more about the number system follow
https://brainly.com/question/24644930
#SPJ2
what is 2 (x + 3) = x - 4
Answers
Answer:
x= -10
Step-by-step explanation:
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