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:
Answer:
1.(2,-1)
2.[tex]y=(x+1)^{2} +2[/tex]
3.[tex]y=(x-3)^{2} +1[/tex]
Step-by-step explanation:
Related Questions
10/2
20/2
50/2
100/2
Answers
Answer:
10/2 =5
20/2=10
50/2=25
100/2=50
Pls help me with the question in the pic
Answers
Answer:
9/16
Step-by-step explanation:
What is the value of n^-4 w^0 for n=-2 and w=5?
Answers
Answer:
1/16
Step-by-step explanation:
-2^-4 = 1/(-2)^4
5^0 = 1
1/(-2)^4 = 1/16
pls help me answer this (multiple choice)
Answers
Answer:
Option 3, 18.0
Step-by-step explanation:
To find the Hypotenuse of a right triangle, use the Pythagoras theorem:
[tex]a^{2} +b^{2} =c^{2}[/tex]
(see image below)
(the longest side of any right △ is always C)
In this equation, we know A is 10 and B is 15, so plug in these numbers and solve for C
[tex]10^{2} +15^{2} =c^{2}[/tex]
[tex]100 + 225 =c^{2}[/tex]
[tex]325 = c^{2}[/tex]
Now that the equation is simplified, we find the square root of 325 to solve for C.
[tex]\sqrt{325 = c^{2}}[/tex]
[tex]18.0 = c[/tex]
The final answer is C = 18.0
Hope this helps you understand :)
Solve the equation 7^{2x}+7^{x+1}+4=0. Correct to 4 decimal places.
Answers
Answer:
Step-by-step explanation:
Here is the exact form and decimal form!
Help Please :)
I'm not sure if I'm correct.
Answers
Answer:
You are correct!
(emoji) + 3 = -6 { find the value of the emoji }
Answers
Answer:
-9
Step-by-step explanation:
x+3= -6
×= -6-3
x= -9
mark me branliest
Answer:
emojissss
Step-by-step explanation:
:3 =.= XD :7
The diameter of a spherical basketball is 10 inches. What is the volume of the basketball? Give the exact solution.
Answers
Step-by-step explanation:
Volume of sphere =4/3pir3
=4/3 X pie X rXrXr
R=diameter /2=10/2=5 inches
V=4/3 X 22/7 X 5 X 5 X 5
= 11000/21=523.8in3
how do I solve for x?
Answers
Step-by-step explanation:
(5x + 1 ) + 14x + (4x + 5)= 180 [ sum of all angles of a triangle is 180]
Write an algebraic expression for each situation.
a. 7 more than a number
b. Twice a number
Answers
Step-by-step explanation:
a- 7 + X
b- 2x is the equation for these terms I think so
A bag contains 14 blue, 6 red, 12 green, and 8 purple buttons. 25 buttons are removed from the bag randomly. How many of the removed buttons were red if the chance of drawing a red button from the bag is now 1/3?
Answers
Answer:
1 button.
Step-by-step explanation:
Total buttons = 40
Total red buttons = 6
Total Buttons removed =25
Buttons left = 40–25 = 15
Let the red buttons left = x
1.)Then, the probability of red buttons after removing 25 buttons = x/15 outcome / Total outcome)
2.)Probability of red buttons in the bag after removing 25 buttons is 1/3 (As given in the question)
Comparing Statement 1.) & 2.) , We get
x/15 = 1/3
x = 5
So the red buttons left = 5
Total red buttons= 6
Red buttons removed = 6–5= 1
Hence, only 1 button was red in the 25 removed buttons
There is only one red button in the removed buttons if it has a chance of drawing a red button from the bag after removing 25 buttons from the bag with 14 blue, 6 red, 12 green, and 8 purple buttons is 1/3. This is obtained by equating the probability of getting red buttons from the bag after removing 25 buttons with the given probability of red buttons.
What is probability?Probability is the measure of the likelihood of an event occurring.
Probability is given by the ratio of the number of favorable outcomes with respect to an event to the total number of possible outcomes.
[tex]p(A) = \frac{n(A)}{n(S)}[/tex]
p(A) is the probability of event A
n(A) is the number of outcomes with respect to A
n(S) is the total number of possible outcomes
Calculating the number of red buttons:Given that a bag contains 14 blue, 6 red, 12 green, and 8 purple buttons.
So the total number of buttons in the bag = 40
It is given that 25 buttons are removed from the bag randomly
thus, the remaining buttons in the bag = 40 - 25 = 15
It is given that the probability of drawing a red button from the bag after removing 25 buttons is 1/3
So, for finding the number of red buttons in the bag after removing we can write,
n(A) = p(A) × n(S)
here, A is the event of drawing the number of red buttons and p(A) = 1/3 and n(s) = 15 (after removing)
Thus, the number of red buttons in the bag after removing = [tex]\frac{1}{3}[/tex] × 15 = 5
So, the number of red buttons left in the bag = 5
then, the red buttons removed from the bag = 6 - 5 = 1
Therefore, only 1 red button is removed from the bag.
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Answer pls. question in photo
Answers
• %15 percent raise to 2,000 is 2,300
• 943 is %41 percent of 2,300
The ratio of two supplementary angle is 3:1. Find the measures of both angles.
Answers
Answer:
The sum of two angle is 180 (supplementary)
given angle = 3:1
first angle =3x
2 nd angle=1x
3x+1x =180
4x =180
x = 180/ 4
x = 45
so first angle =3x x = 45
= 3×45
= 135 degree
2nd angle = 1x
=45 degree
ans
Both angles are 135 and 45
Step-by-step explanation:
Solve for x. (3x + 17) (8x - 46)
Answers
Answer:-15
Step-by-step explanation:
The value of x in the given expression (3x + 17) (8x - 46) is -17/3 or 23/4
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given is an expression, (3x + 17)(8x - 46), we need to find the value of x,
(3x + 17)(8x - 46)
To find the value of x, equate the expression to 0,
(3x + 17)(8x - 46) = 0
3x+17 = 0
x = -17/3
or
8x-46 = 0
8x = 46
x = 23/4
Hence, the value of x is -17/3 or 23/4
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Please solve this problem for me.
Answers
Answer:
It is 63 or 63/1. Billy used change in x over change in y, and the correct formula for slope is the change in y over the change in x.
He might have done it backwards.
1/63
and could be 63 miles in 1 hour
63/1.
Because the graph looks good. (i think)
Plz need an answer fast
Answers
Answer:
Not a function becuase one input value corresponds with multiple output values.
Step-by-step explanation:
Hope it helps
In ΔEFG, the measure of ∠G=90°, EF = 38 feet, and GE = 21 feet. Find the measure of ∠E to the nearest degree.
Answers
Answer:
56
Step-by-step explanation:
Answer:
56
Step-by-step explanation:
Please help, math isn’t my strong suit.
Answers
sin 54 ° = 0.80901699
I’m not sure what the [?] is cause I see no number beneath it either but I hope this somehow helps
Which value is greater 3/8 or 25%
Answers
Answer:
3/8 because 3/8 as a percent is 37.5 percent
Step-by-step explanation:
Answer:
3/8 is greater
Step-by-step explanation:
3/8 as a percent is 37.5
37.5% > 25%
Therefore 3/8 is greater
Tip:
Covent one to the other unit
like 3/8 to a percent or 25% as a fraction.
But if you are looking for which is greater in fraction form then 25%
A pound of popcorn is popped for a class party. The popped corn is put into small popcorn boxes that each holds 120 popped kernels. There are 1,600 kernels in a pound of unpopped popcorn. If all the boxes are filled except for the last box, how many boxes are needed, and how many popped kernels are in the last partially filled box?
Answers
Answer:
14 ; 40
Step-by-step explanation:
Number of unpopped popcorn = 1600 kernels
Kernel per popped corn = 120
Number of boxes needed :
Number of unpopped / kernel per popped corn
1600 / 120
= 13.3333
Hence, number of boxes needed = 14
Number of popped kernel. In partially filled box :
1600 - (120 * 13)
1600 - 1560
= 40
Deion finds that the world's population is 7.048 billion and is increasing at a rate of 1.1% per year. Which function
would Deion use to model the growing population in billions, P(t), based on the number of years, t, after this year?
Answers
Answer:
Step-by-step explanation:
I think it’s a
Houa's family took a road trip to the Grand Canyon. Houa fell asleep 29% of the way
through the trip. If the total length of the trip was 800 miles, how many miles had
they travelled when Houa fell asleep?
Answers
Answer:
232 miles had travelled when Houa fell asleep.
Step-by-step explanation:
1. .29 x 800 = 232
If the total length of the trip was 800 miles then 232 miles had they travelled when Houa fell asleep.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Houa's family took a road trip to the Grand Canyon.
Houa fell asleep 29% of the way through the trip.
If the total length of the trip was 800 mile we need to find the number of miles they travelled when Houa fell asleep.
29% can be converted to decimal by dividing with 100
29/100=0.29
Now multiply 0.29 with 800
0.29×800
232 miles
Hence, 232 miles had they travelled when Houa fell asleep.
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what is the slope of the line that passes through (3, 2) and (4, 11)?
Answers
Answer:
9
Step-by-step explanation:
2-11 = -9
3-4 = -1
-9/-1 = 9
The end points of cd are given.find the coordinates of the midpoint M. C(-8,-6) and D(-4,10)
Answers
Answer:
i dont know this is ut of my slybos
Step-by-step explanation:
The end points of cd are given.find the coordinates of the midpoint M. C(-8,-6) and D(-4,10)
One afternoon, a student who is 5 feet 4 inches tall measured shadows to find the height of a telephone pole. The student's shadow was 5 feet long. At the same time, the shadow of the telephone pole was 18 feet 9 inches long. How tall is the telephone pole?
Please help
Answers
Answer:
19.9875 feet
Step-by-step explanation:
The formula is given as:
Shadow of the student/Height of the student = Shadow of the telephone pole/Height of the telephone pole.
1 inch = 0.0833 feet
Shadow of the student = 5ft
Height of the student = 5 feet 4 inches
4 inches to feet
= 4 × 0.0833 feet
= 0.33 feet
Hence: Height of the student = 5 + 0.33 = 5.33 feet
Shadow of the telephone pole = 18 feet 9 inches long
9 inches to feet
= 9 × 0.0833 feet
= 0.75 feet
Hence: Shadow of the telephone pole = 18 + 0.75 = 18.75 feet
Height of the telephone pole= x
Therefore:
5/5.33 = 18.75/x
Cross Multiply
5x = 5.33 × 18.75
x = 5.33 × 18.75/5
x = 19.9875 feet
The height of the telephone pole = 19.9875 feet
Thom is saving up his money to buy a laptop that costs $719.95. Right now he has $178.95, and can save
$79.00 each week. How many weeks will it take for Thom to have enough money to buy the laptop?
Answers
Answer:
6.84 weeks
Step-by-step explanation:
$719.95 - $178.95 = 541$
541/79 = 6.84 weeks
What are the four things
that make up
galaxy ? I need a answer quickly and I need it to be correct! I need a answer ASAP! Thanks
Answers
Please help out with this geometry homework I was assigned. And what formula do I use?
Answers
Answer:
[tex] V_{cone} \approx 1,178.97 \: {in}^{3} [/tex]
Step-by-step explanation:
Diameter of cone = 16 in
Radius of cone r = 16/2 = 8 in
Height of cone h = 17.6 in
[tex]V_{cone} = \frac{1}{3} \pi {r}^{2}h \\ \\ V_{cone} = \frac{1}{3} \times 3.14 \times {(8)}^{2} \times 17.6 \\ \\ V_{cone} = \frac{1}{3} \times 3,536.896 \\ \\ V_{cone} = 1,178.96533 \\ \\ V_{cone} \approx 1,178.97 \: {in}^{3} \\[/tex]
For the triangle it is given that AE2 + EB2 = 9 and BE2 + EC2 = 16
Find AC =
Answers
Answer:
Step-by-step explanation:Given : right triangle ABC , AE^2 + EB^2 =9 and BE^2 + EC^2 = 16
To find : AC
Solution:
BE ⊥ AC
∠AEB = 90°
=> ΔAEB is right angled
=> AB² = AE² + EB²
=> AB² = 9
∠BEC = 90°
=> ΔBEC is right angled
=> BC² = BE² + EC²
=> BC² = 16
∠ABC = 90°
=> AC² = AB² + BC²
=> AC² = 9 + 16
=> AC² = 25
=> AC = 5
AC = 5
The length of AC is 5 units.
What is a Triangle?Any three-sided polygon having three edges and three vertices is referred to as a triangle in geometry. The most important attribute of a triangle is that its internal angles sum to 180 degrees. The triangle's angle sum attribute is what is known as.
As per the given data:
We are given the diagram of ΔABC which is right-angled.
BE is perpendicular to AC.
AE² + EB² = 9 ...(i)
BE² + EC² = 16 ..(ii)
By using the Pythagoras theorem in ΔABE:
AE² + EB² = AB²
From comparing with eq (i)
AB² = 9
AB = √9 = 3 units
By using the Pythagoras theorem in ΔCBE:
BE² + EC² = BC²
From comparing with eq (ii)
BC² = 16
BC = √16 = 4 units
By using the Pythagoras theorem in ΔABC:
AB² + BC² = AC²
AC² = 3² + 4²
AC² = 9 + 16 = 25
AC = 5 units.
The length of AC is 5 units.
Hence, The length of AC is 5 units.
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A boy arrived at school at 8:15am if he stayed in the school for 4 hours 20 minutes when did he leave
Answers
Answer:
12:35
Step-by-step explanation:
The boy left school at time 12:15 pm.
What is unit conversion?It is the conversion of one unit to another unit with its standard conversion.
Examples:
1 hour = 60 minutes
1 minute = 60 seconds
1 km = 1000 m
We have,
To find out when the boy left school, we need to add 4 hours and 20 minutes to the time he arrived at school.
To add minutes, we need to make sure both times are in the same format. Let's convert the arrival time of 8:15 am to minutes:
So,
8:15am = 8 x 60 + 15 = 495 minutes
Now we can add 4 hours and 20 minutes:
495 + 4 x 60 + 20 = 735 minutes
So the boy left school at 735 minutes after midnight.
To convert this back to a time, we can divide by 60 to get the number of hours and minutes:
735 minutes / 60
= 12 hours (with 15 minutes remaining)
Therefore,
The boy left school at time 12:15 pm.
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