Answers
Answer:
x = 7.5, x = -5
Step-by-step explanation:
1. Plug a(2), b(-5), and c(-75) into the qudratic formula:
[tex]x_{1,2} =\frac{-(-5)+-\sqrt{(-5)^{2}-4(2)(-75) } }{2(2)}[/tex]
2. Find the square:
[tex]x_{1,2} =\frac{-(-5)+-\sqrt{25-4(2)(-75) } }{2(2)}[/tex]
[tex]x_{1,2} =\frac{-(-5)+-\sqrt{25+600} }{2(2)}[/tex]
[tex]x_{1,2} =\frac{-(-5)+-25 }{4}[/tex]
3. Separate the solutions:
[tex]x_{1} = \frac{-(-5)+25}{4} , x_{2} =\frac{-(-5)-25}{4}[/tex]
4. Solve for both:
[tex]x_{1} =\frac{5+25}{4} \\\\x_{1} =\frac{30}{4} \\\\x_{1} =\frac{15}{2}\\\\x_{1} =7.5[/tex]
--------------------
[tex]x_{2} =\frac{5-25}{4} \\\\x_{2} =\frac{-20}{4} \\\\x_{2} =-5[/tex]
In conclusion, the solutions are x = 7.5 and -5.
hope this helps!
Related Questions
mr.spencer has 7 1/5 liters of juice he wants to pour equal amounts of juice into 3 punch bowls how many liters of juice should he pour in each bowl?
Answers
Answer:
2.4
Step-by-step explanation:
1/5=0.2
7.2/3=2.4
for 30 POINTS
pls help me rn
this is very urgent
thx in advance
Answers
2- observation
3- observation
4- questionnaire
5- experimentation
6- interview
7- census
8- questionnaire
9- questionnaire
10- experimentation
My apologies if any are wrong! ;-;
Which of the following does not have a value that is greater than 0?
|-11|
-11
|11|
11
Answers
Answer:
-11
Step-by-step explanation:
The | | around a number means the absolute value of that number. The absolute value is the positive value of the number given.
true or false if two half planes never intersect, then their system of inqeualities has no solution
Answers
Answer:
True
Step-by-step explanation:
If two of the half planes never intersect, there is no way for the lines to reach each other hence giving no soultion
Answer:
its false
Step-by-step explanation:
A consumer charges a $2,530.16 purchase on a credit card. the card has a daily interest rate of 0.042%. if the balance is paid off at the end of 30 days, how much interest will the consumer pay? a. $0.32 b. $3.19 c. $31.88 d. $318.78
Answers
The total interest consumer pay on the credit card which has a daily interest rate of 0.042% is $32.08.
What is compound interest?Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.
The formula for the final amount with the compound interest formula can be given as,
[tex]A=P\times\left(1+\dfrac{r}{100}\right)^{t}\\[/tex]
Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.
In the given problem,
A consumer charges a P, $2,530.16 purchase on a credit card. The card has a daily interest rate r of 0.042%. The balance is paid off at the end of 30 days. Thus the time t is 30.Put these values in the above formula as,
[tex]A=2530.16\times\left(1+\dfrac{0.042}{100}\right)^{30}\\\\A=2562.24[/tex]
The interest amount paid is,
[tex]I=A-P\\I=2562.24-2530.16\\I=32.08[/tex]
Thus, the total interest consumer pay on the credit card which has a daily interest rate of 0.042% is $32.08.
Learn more about the compound interest here;
https://brainly.com/question/24274034
Answer:
The correct answer is C
Step-by-step explanation:
Which equation is true for x = –6 and x = 2? 2x2 – 16x 12 = 0 2x2 8x – 24 = 0 3x2 – 4x – 12 = 0 3x2 12x 36 = 0
Answers
The equation that is true for x = -6 and x= 2 is given by: Option B: 2x^2 +8x -24 = 0
What are those values of the variables called for which an equation is true?Suppose there is an equation given, involving some variables.
Then, those values of the involved variable, for which the equation is true, are called solution of the equation.
For single variable equations, specially for polynomials, these solutions are called the roots of the equation.
How to find the roots of a quadratic equation?Suppose that the given quadratic equation is
[tex]ax^2 + bx + c = 0[/tex]
Then its roots are given as:
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
For this case, the options are all quadratic equations, so we can check all the options to find the roots to see if they match to x = -6 and = 2
Option 1: [tex]2x^2 -16x + 12 = 0[/tex]Then its roots are given as:
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} = \dfrac{-(-16) \pm \sqrt{(-16)^2 - 4(2)(12)}}{2(2)}\\\\x = \dfrac{16 \pm \sqrt{196 - 96}}{4} = \dfrac{16 \pm 10}{4}\\\\x = 26/4, x = 6/4[/tex]
Thus, this equation isn't true for both x = -6 and x= 2
Option 2: [tex]2x^2 +8x -24 = 0[/tex]Then its roots are given as:
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} = \dfrac{-8 \pm \sqrt{(8)^2 - 4(2)(-24)}}{2(2)}\\\\x = \dfrac{-8 \pm \sqrt{64 +192}}{4} = \dfrac{-8 \pm 16}{4}\\\\x = -6, x = 2[/tex]
Thus, this equation is true for both x = -6 and x= 2
Since the question says "Which equation is true", so that means only one option is true.
Thus, the equation that is true for x = -6 and x= 2 is given by: Option B: [tex]2x^2 +8x -24 = 0[/tex]
Learn more about finding the solutions of a quadratic equation here:
https://brainly.com/question/3358603
Answer:
b
Step-by-step explanation:
edge
Let's say you want to know how many pages your 10 favorite books have. After checking
your bookshelf, you could simply write down the numbers in a list. But when data is written
as a list of numbers, it can be difficult to make sense of the information. Which book is the
longest, and which is the shortest? Which book is right in the middle?
Showing data visually can help you understand the information you collected. You could
make a bar graph, which would make it easy to see the smallest and largest values of the
data set. But a box plot, often called a box and whisker plot, gives you even more
information than a bar graph. With a box and whisker plot, you can clearly see the smallest
value, the largest value and the median, or the middle value of all the data. You can also see
the interquartile range, or the middle 50 percent of the data.
RDS
ME
According to the passage, why might one choose to use a box and whisker plot instead
of a bar graph?
A
A box and whisker plot shows less information than a bar graph.
B
A box and whisker plot shows more information than a bar graph.
с
Box and whisker plots show data visually, but bar graphs do not.
D
Box and whisker plots have nothing in common with bar graphs.
Answers
Considering that we want to find a measure of center of the number of pages in the books, the correct option is:
B A box and whisker plot shows more information than a bar graph.
When to use a bar graph and a box and whisker plot?It we are interest in the extremes of the distribution, that is, the smallest and largest amounts, we use a bar graph.If we are interested in the central measures of the distribution, we use a box and whisker plot, as it contains more information.In this problem, we want to find the average number of pages in the books, which is a measure of center, hence option B is correct.
More can be learned about a box and whisker plot at https://brainly.com/question/12343132
Gary is using 96 1 cm cubes to build a rectangular prism he wants the rectangular prisms have a height of 6 cm which of these shows dimensions Garrett cannot you
Answers
The dimension Garet must not use to construct the rectangular prism is 10 cm × 2 cm × 6 cm.
He is using 96 1cm cubes to build a rectangular prism . He wants the rectangular prism to have a height of 6 cm.
Volume of a cube?volume of a cube = l³
where
l = side lengthTherefore, each volume of the cube is as follows:
volume of cube = 1³ = 1 cm³
The total volume of the whole 96 cubes = 96 cm³
Therefore, the volume of the rectangular prism should be the same with the volume of the whole cubes. But must have a height of 6cm.
Hence, the dimension that Garret must not use is 10 cm × 2 cm × 6 cm.
learn more on rectangular prism here: https://brainly.com/question/12481486
Solve by factoring
3v^2-10v+3=
Answers
[tex]3v^2-10v+3=0\\\\\implies 3v^2 - 9v-v +3=0\\ \\\implies 3v(v-3)-(v-3)=0\\\\\implies (v-3)(3v-1)=0\\\\\implies v = 3,~~v=\dfrac 13[/tex]
What is the distance between -4 and -14?
Answers
Answer:
the distance between -4 and -14 is 10
Step-by-step explanation:
they both as negative numbers
Distance = 10
Step-by-step explanation:⇒ Distance = Larger integer - Smaller integer
In this case, the larger integer is -4 and the smaller integer is -14. Keep in mind that if two integers are negative, the integer that is closest to 0 is greater than the other integer.
⇒ Distance = (-4) - (-14)
Simplify the expression on the R.H.S:
⇒ Distance = -4 + 14 [-1 x -1 = 1]
⇒ Distance = 10
Monica made this object from snap cubes. Monica made 9 more objects just like this one. she laid them one next to the other to form a square. Monica said she could use the square to write a percent and a decimal for 6/10 and for 4/10. is she correct?
Answers
The fraction 6/10 and 4/10 can be represented by using the objects laid together to form a square.
What is an equation?
An equation is an expression that shows the relationship between two or more variables and numbers.
The fraction 6/10 and 4/10 can be represented by using the objects laid together to form a square.
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Solve for the unknown value.
x = _____ degrees
Answers
Answer:
x= 89°
Step-by-step explanation:
Let's use the rule of corresponding angles.
x+ 32°= 121° (corr. ∠s)
x= 121° -32°
x= 89°
The area of a triangle is 115 in2. If the height of the triangle is 7.5 inches, what is the length of its base? Round to the nearest hundredth, if necessary.
Answers
Answer:
30.67 inches
Step-by-step explanation:
Area of a triangle: 1/2 x b x h
115 = 1/2 x b x 7.5
115 = 3.75b
115/3.75 = b
30.66666 = b
30.67 = b
constant term of this
Answers
Pls help !!!
No links pls and ty<3
Answers
Answer:
that would be 700ft^2
Step-by-step explanation:
The rectangle on top has area of 23 × 14 = 322ft^2
the rectangle on bottom has area of 23 × 12 = 276ft^2
Two triangles make 1 rectangle with area 17 × 12 = 102ft^2
Add them all up 700ft^2
Answer:
that would be 700ft^2
Step-by-step explanation:
The rectangle on top has area of 23 × 14 = 322ft^2
the rectangle on bottom has area of 23 × 12 = 276ft^2
Two triangles make 1 rectangle with area 17 × 12 = 102ft^2
Add them all up 700ft^2
help A S A P IM STUCK
Answers
Answer:
this is the unit area of: 24
Step-by-step explanation: hope this helps
What’s the surface area of this tent? length:10.5.
Width:8
height:7
Answers
Answer:
427
Step-by-step explanation:
i could be wrong i used surface area calculator
A password is 4 characters long, consisting of 2 letters and 2 numbers. the password must begin and end with a letter. if numbers can be repeated but letters cannot, how many possibilities are there? a. 65,000 b. 60,840 c. 58,500 d. 52,650 please select the best answer from the choices provided. a b c d
Answers
The question is an illustration of arrangements, and the number of possibilities of the password is 65000
How to determine the number of possibilities?The length of the password is:
Length = 4
If the password begins and ends with a letter and cannot be repeated, then the possibilities are:
First = 26
Last = 25
If the password contains numbers that can be repeated, then the possibilities are:
Number 1 = 10
Number 2 = 10
So, the number of possibilities is:
Possibilities = 26 * 10 * 10 * 25
Evaluate the product
Possibilities = 65000
Hence, there are 65000 possibilities of a 4 character password
Read more about arrangements at:
brainly.com/question/6032811
Find the slope of the line through the points (4, -1) and (-2, -1).
The slope is
Answers
Answer:
0
Step-by-step explanation:
use a slope calculator
(4,-1) right 4 down 1
and (-2,-1) left 2 down 1
and draw a line through those two points you end up with a flat line.
The slope of a flat line is 0
I hope this helps and is the BRAINLIEST!
Good Luck with your studies!
For the function f(x) = −3x + 1, what is the value of f −1(x) for x = 4?
Answers
Answer:
-1
Step-by-step explanation:
inverse is -(x-1)/3
-(4-1)/3 is -1
if the area of a circle is 154 cm square then find the diameter and circumference
Answers
Answer:
Diameter = 14 cm
Circumference = 44 cm
Step-by-step explanation:
Area of circle = πr²Diameter = 2rCircumference = 2πr = πdπ ≈ 3.142[tex]\pi {r}^{2} = 154 \\ {r}^{2} = \frac{154}{\pi} \\ r = \sqrt{ \frac{154}{\pi} } \: cm[/tex]
[tex]Diameter = 2r \\ = 2 \sqrt{ \frac{154}{3.142} } \\ ≈ 14 \: cm[/tex]
[tex]Circumference = πd \\ = 14\pi \\ = 14 \times 3.142 \\ = 43.988 \\ ≈ 44 \: cm[/tex]
The base of a merry-go-round spans an area of about 153.88 square meters What is the radius of
the merry-go-round?
Nysean says the radius of the merry-go-round is 14 meters. Do you agree or disagree? Explain.
Answers
Answer:
Disagree
radius = 7 m
diameter = 14 m
Step-by-step explanation:
Formula
[tex]\sf Area\:of\:a\:circle=\pi r^2[/tex]
Given:
area = 153.88 m²Substitute given value into the formula and solve for r:
[tex]\sf \implies \pi r^2=153.88[/tex]
[tex]\sf \implies r^2=\dfrac{153.88}{\pi}[/tex]
[tex]\sf \implies r=\sqrt{\dfrac{153.88}{\pi}}[/tex]
[tex]\sf \implies r=6.998680253[/tex]
Therefore r ≈ 7 m
So I disagree with Nysean, as from my calculations, the approximate radius of the merry-go-round is 7 m.
Diameter = 2r
⇒ diameter of merry-go-round = 2 x 7 = 14m
So Nysean has actually given the approximate measure of the diameter rather than the radius.
Please hurry!!! Thank you to whoever answers this!! Love yaaa
Answers
Answer: The dimensions of the builder's scale drawing is 40 x 32 inches.
Step-by-step explanation:
The scale factor of Karl = 1:12
Dimensions = 10 x 8 inches
Area = 80 square inches
1:12 = 1/12
1/12 = 80/a
a = 80 x 12
a = 960 square inches
So dimensions are 120 x 96 inches
Builders scale factor = 1:3
Actual Length = 120inches
Actual width = 96 inches
Builders drawing length = 120/3
= 40 inches
Builders drawing width = 96/3
= 32 inches
A credit card company is collecting data for their end of the year review. The chart below shows the interest change for the year that they will use to market to new customers.
What is the mean interest change for the year? Group of answer choices
A. 20%
B. 5%
C. 2%
D. 4%
Answers
the answer of the year is 20%
Choose one answer: A: 13+t=17
B:13t=17
Find the value of t that makes the equation true
Answers
Answer:
a: 13 + t = 17
Step-by-step explanation:
the top is equal to the bottom
the top is 13 and t together but you are not multiplying
thus the answer is 13 + t = 17
Answer:
A, 13+t=17
Step-by-step explanation:
Since you are trying to find the missing part of the diagram and both rows add up to 17, the answer would be A. This is the case because you aren't multiplying 13 over and over to get 17, rather instead you are adding a number to get 17.
If 30% of a number equals to 25 what is 60% of that number
Answers
Answer:
50
Step-by-step explanation:
25*2
60% is double 30% so 60% of the number would be 50
What’s this answer please?
Answers
answer:
157.08 square cm (when rounded to hundredths)
unrounded - 157.0796327
Write the equation of the line that passes through (9, 5) and (7, 6) in slope-intercept form.
Answers
Answer:
y = -1/2x + 19/2
Step-by-step explanation:
Hi there!
We are given the points (9,5) and (7,6)
We want to write an equation of the line that contains these two points, in slope-intercept form
Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept
First, let's find the slope of the line
The formula for the slope (m) calculated from 2 points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We have everything we need to find the slope, but let's label the values of the points to avoid any confusion.
[tex]x_1=9\\y_1=5\\x_2=7\\y_2=6[/tex]
Now substitute these values into the formula to find the slope
m= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{6-5}{7-9}[/tex]
Subtract
m=[tex]\frac{1}{-2}[/tex]
m=-1/2
The slope of the line is -1/2
We can substitute this as m into the formula for slope-intercept form:
y = -1/2x + b
Now we need to find b
As the equation passes through (9, 5) and (7, 6), we can use either one to solve for b
Taking (7, 6) for example:
Substitute 7 as x and 6 as y into the equation
6 = -1/2(7) + b
Multiply
6 = -7/2 + b
Add 7/2 to both sides
19/2 = b
substitute 19/2 as b:
y = -1/2x + 19/2
Hope this helps!
See more on this topic here: https://brainly.com/question/27417375
(please help me)
Amelie spins the following spinner, which has 10 equally sized spaces numbered 1 through 10. The numbers 1 and 7 are colored blue; the numbers 2, 4, and 6 are red; and the numbers 3, 5, 8, 9, and 10 are green.
A spinner as described in the text.
What is the probability that Amelie spins either an odd number or a red number?
Enter your answer as a reduced fraction, like this: 3/14
Answers
The probability Amelie spins either an odd number or a red number is:
P = 4/5
How to find the probability?
We want to find the probability of spinning a red or odd number, this is equal to the quotient between the number of odd numbers + the number of red numbers and the total number of numbers in the spinner.
We know that there are 10 numbers in the spinner.2, 4, and 6 are red, so we have 3 red numbers.1, 3, 5, 7, and 9, are odd, so we have 5 odd numbers.Then there are 5 + 3 = 8 numbers that are either red or odd, and a total of 10 numbers, this means that the probability of spinning an odd number or a red number is:
P = 8/10 = 4/5
If you want to learn more about probability, you can read:
https://brainly.com/question/251701
what is the percent change from 18 to 26
Answers
Answer:
44.44%
Step-by-step explanation: