Answer:
[tex]y=\frac{1}{2}x-6[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
1) Determine the slope (m)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where two points that fall on the line are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points (2,-5) and (8,-2)
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\=\frac{-2-(-5)}{8-2}\\=\frac{-2+5}{8-2}\\=\frac{3}{6}\\=\frac{1}{2}[/tex]
Therefore, the slope of the line is [tex]\frac{1}{2}[/tex]. Plug this into [tex]y=mx+b[/tex]:
[tex]y=\frac{1}{2}x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=\frac{1}{2}x+b[/tex]
Plug in one of the given points and solve for b
[tex]-5=\frac{1}{2}(2)+b\\-5=1+b[/tex]
Subtract 1 from both sides to isolate b
[tex]-5-1=1+b-1\\-6=b[/tex]
Therefore, the y-intercept of the line is -6. Plug this back into [tex]y=\frac{1}{2}x+b[/tex]:
[tex]y=\frac{1}{2}x+(-6)\\y=\frac{1}{2}x-6[/tex]
I hope this helps!
Which 3 of the following numbers are irrational?
PLEASE ONLY ANSWER IF YOU KNOW THE ANSWER.
[tex]13 + \sqrt{25} [/tex]
[tex]17\pi[/tex]
[tex].21475467...[/tex]
[tex] \sqrt{ \frac{9 }{16} } [/tex]
[tex] - \frac{4}{5} + \sqrt{ \frac{6}{9} } [/tex]
Answer:
The irrational numbers from the given options are :-
[tex]17\pi[/tex][tex]0.21475467.....[/tex][tex]-\frac{4}{5} + \sqrt{\frac{6}{9} }[/tex]Step-by-step explanation:
Analyse each option carefully.
1) [tex]13 + \sqrt{25}[/tex] is a rational number because :-
[tex]\sqrt{25} = 5[/tex][tex]13 + \sqrt{25} = 13 + 5 = 18[/tex] , which is a rational number.2) [tex]17\pi[/tex] is irrational because :-
Value of π has a non-terminating & non-recurring decimal value. So it is irrational number.If π is irrational , then 17π is also irrational because product of any number and an irrational number is always irrational.3) [tex]0.21475467....[/tex] is irrational because :-
It is a non-terminating & non-recurring decimal.Any non terminating & non-recurring decimal is an irrational number.4) [tex]\sqrt{\frac{9}{16} }[/tex] is rational because :-
[tex]\sqrt{\frac{9}{16} } = \frac{\sqrt{9} }{\sqrt{16} } = \frac{3}{4}[/tex].[tex]\frac{3}{4}[/tex] is a rational number.5) [tex]-\frac{4}{5} + \sqrt{\frac{6}{9} }[/tex] is irrational because :-
[tex]\sqrt{\frac{6}{9} } = \frac{\sqrt{6} }{\sqrt{9} } = \frac{\sqrt{6} }{3}[/tex] , which is irrational.If [tex]\frac{\sqrt{6} }{3}[/tex] is irrational , then [tex]-\frac{4}{5} + \sqrt{\frac{6}{9} }[/tex] is also irrational because sum of any number and an irrational number is always an irrational number.What is the volume of this retangular prism
Answer:
27
Step-by-step explanation:
3 times 3 times 3
length times width times height
I hope this helped!
Answer:
27
Step-by-step explanation:
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.
Answer:
B
Step-by-step explanation:
According to Order of Operations, you always do exponents first
Evaluate the expression for the given value of x. 8x + 7 for x = 4
Answer:
39
Step-by-step explanation:
First, we change 8x +7 to 8(4) + 7
Then, 8 x 4 = 32
Lastly, 32 + 7 = 39
What is the volume of the following sphere? Use 3.14 for x.
18 mm
3,052.08 mm 3
24.416.64 mm 3
113.04 mm
3
226.08 mm 3
Answer: 3,052.08
Step-by-step explanation: 4/3 * pi * 18/2
There is a photo please help quick.
Answer:
B
Step-by-step explanation:
1/4 + 2/3
(3+8)/12
11/12
What is an example of Data and statistics
For all values of x, f(x)=x-1 and g(x)=2x^2+3. Solve fg(x)=gf(x)
Answer:
x=3/4
Step-by-step explanation:
Given:
f(x) = x-1
g(x) = 2x²+3
Evaluate composite functions:
f(g(x)) = f(2x²+3) = (2x²+3)-1 = 2x²+2
g(f(x)) = g(x-1) = 2(x-1)²+3 = 2(x²-2x+1)+3 = 2x²-4x+2+3 = 2x²-4x+5
Set expressions equal to each other and solve for x:
2x²+2 = 2x²-4x+5
2 = -4x+5
-3 = -4x
3/4 = x
x = 3/4
Therefore, the value of x=3/4 satisfies both composite functions
A local sandwich shop
received an order for
35 turkey sandwiches,
30 chicken sandwiches,
And 35 vegetarian
sandwiches. If each of the
four cooks made an equal
number of sandwiches, how
many did each cook make?
A bakery uses 6 cups of flour for each batch of bread and spread another cup of flour on the counter write an algebraic expression using C to represent the cups of flour that are used.
Answer:
6c = b
Step-by-step explanation:
6 cups of flour for each batch of bread, so 6c;
b is the batch of bread.
So basically,
6c = b
This circle is centered at the origin, and the length of its radius is 8. What is the circle's equation?
The choose (D)
x²+y²=64
Factor
x
3
+
6
x
2
+
2
x
+
12
Answer:
♿⚠️⛔☢☣⬆️↗️➡️↘️⬇️↙️⤵️⤴️↪↩↔️↕️↖️⬅️
show that 2.373737... =2.37 canbe expressed in the form p/q where pand q are integers and q≠0
Answer:
[tex] 2.373737....=\frac{235}{99}[/tex]
Step-by-step explanation:
[tex] 2.373737....=2.\overline{37}[/tex]
[tex] Let\: x=2.\overline{37}...(1)[/tex]
[tex] \therefore 100x=237.\overline{37}...(2)[/tex]
Subtracting equation (1) from equation (2), we find:
[tex] \therefore 100x-x=237.\overline{37}-2.\overline{37}[/tex]
[tex] \therefore 99x=237+0.\overline{37}-2-0.\overline{37}[/tex]
[tex] \therefore 99x=235[/tex]
[tex] \therefore x=\frac{235}{99}[/tex]
[tex] \implies 2.373737....=\frac{235}{99}[/tex]
PLZ HELP ME I BEG UU!! NEED ASAP
Answer:
perimeter of triangle=20+20+24=64mm
height of triangle =16mm
length of rectangle=23mm
breadth of rectangle=24mm
we have
Total surface area=perimeter of triangle *length + 2*area of rectangle
=64*23+2*23*24=2576mm²
Surface area=2576mm²
Answer:
1856
Step-by-step explanation
A = bh + 2ls + lb
Using the formula we get 1856
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
What units would you use to describe the volume of a box measured in
centimeters?
A. Cubed centimeters
B. Inches
C. Square feet
D. Cubed Inches
Answer:
A
Step-by-step explanation:
The stem-and-leaf plot shows the number of broken crayons in each crayon box at a preschool. What is the greatest number of broken crayons in a box?
A 7 crayons
B 47 crayons
c 477 crayons
d 1469 crayons
Ms. Barnsley separates her class into two groups. She gives each student the same 25-question math quiz. Group A uses a calculator, while Group B does not. The table shows the completion times, in minutes, of students in each group.
Which statement is true about the distributions of completion times?
The students in Group A tended to complete the quiz in less time.
The median of Group A is greater than the median of Group B.
The means of both groups are about the same.
The standard deviation of Group B is less than the standard deviation of Group A.
Answer:
The median of Group A is greater than the median of Group B.
Step-by-step explanation:
Given
[tex]\begin{array}{cccccccccc}{Group\ A} & 4.5 & 4.8 & 4.6 & 5.0 & 4.8 & 4.4 & 4.7 & 5.2 & 3.9 \ \\ {Group\ B} & 5.5 & 4.9 & 4.0 & 4.2 & 4.8 & 4.1 & 3.5 & 4.6 & 4.3 \ \end{array}[/tex]
Required
Which of the options is true
(a) Group A complete in less time
To do this, we calculate the average of both using:
[tex]\bar x = \frac{\sum x}{n}[/tex]
Where
[tex]n = 9[/tex]
So, we have:
[tex]\bar x_A = \frac{4.5 + 4.8 + 4.6 + 5.0 + 4.8 + 4.4 + 4.7 + 5.2 + 3.9}{9}[/tex]
[tex]\bar x_A = \frac{41.9}{9}[/tex]
[tex]\bar x_A = 4.66[/tex]
[tex]\bar x_B =\frac{5.5 + 4.9 + 4.0 + 4.2 + 4.8 + 4.1 + 3.5 + 4.6 + 4.3}{9}[/tex]
[tex]\bar x_B =\frac{39.9}{9}[/tex]
[tex]\bar x_B =4.43[/tex]
The average time of Group A is higher than that of B, this means that Group A spend more time, on average.
(b) Group A has a greater median
First, we sort the given data in ascending order
[tex]\begin{array}{cccccccccc}{Group\ A} & 3.9 & 4.4 & 4.5 & 4.6 & 4.7 & 4.8 & 4.8 & 5.0 & 5.2 \ \\ {Group\ B} & 3.5 & 4.0 & 4.1 & 4.2 & 4.3 & 4.6 & 4.8 & 4.9 & 5.5 \ \end{array}[/tex]
The median is then calculated using:
[tex]Median = \frac{n + 1}{2}th[/tex]
This gives:
[tex]Median = \frac{9 + 1}{2}th[/tex]
[tex]Median = \frac{10}{2}th[/tex]
[tex]Median = 5th[/tex]
The median is the fifth item for both groups.
So, we have:
[tex]A =4.7[/tex]
[tex]B =4.3[/tex]
4.7 is greater than 4.3
Hence, (b) is true
Since (b) is true and only one option is correct, then (c) and (d) are incorrect
Answer:
b
Step-by-step explanation:
A new motorcycle has a value of $8,000. Every year its value decreases by $500. Which function can be used to find y, the value of the motorcycle in x years?
A. y = 500x + 8,000
B. y = -500x - 8,000
C. y = -500x + 8,000
D. y = 500x - 8,000
PLEASE HELP ME :)
Answer:
d
Step-by-step explanation:
A function is a relationship between inputs where each input is related to exactly one output.
The function for the value of the motorcycle after x years.
y = 8000 - 500x
y = -500x + 8000
Option C is the correct answer.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
A new motorcycle has a value of $8,000.
Every year its value decreases by $500.
Now,
y = amount of the motorcycle
x = number of years
The function for the value of the motorcycle after x years.
y = 8000 - 500x
y = -500x + 8000
Thus,
The function for the value of the motorcycle after x years.
y = 8000 - 500x
y = -500x + 8000
Option C is the correct answer.
Learn more about functions here:
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A 2-liter bottle of soda pop contains 2,000 milliliters.
True
False
Answer:
TRUE!
Step-by-step explanation:
1 liter (L) = 1000 milliliters (mL)
If you have 2 Liters, then you would DOUBLE the milliliters (2000)
50 POINTS!!! HELP ME PLEASE!!!!
Step-by-step explanation:
1. 3.6 x 10^-1
2. 3.1 x 10^6
3. 5.3 x 10^-6
4. 4.2 x 10^-1
What evidence shows that the uprisings at Treblinka and Sobibor were not a complete failure?
Both camps were closed after the uprising.
Prisoners attacked and killed SS men and guards.
Thousands of prisoners escaped and were never captured.
All gas chambers in camps were shut down.
Answer:
both camlps
Step-by-step explanation:
Answer:
B.) Prisoners attacked and killed SS men and guards.
Step-by-step explanation:
edge
Re-write the quadratic function below in Standard Form
y = -9(x - 1)(x + 2)
Answer:
-9x^2 - 9x + 18
Step-by-step explanation:
-9 • (x - 1) • (x + 2)
-9x + 9 • (x + 2)
-9x^2 -18x + 9x + 18
-9x^2 - 9x + 18
Answer:
y = - 9x² - 9x + 18
Step-by-step explanation:
y = - 9(x - 1)(x + 2) ← expand factors using FOIL
= - 9(x² + x - 2) ← distribute parenthesis by - 9
y = - 9x² - 9x + 18 ← in standard form
Can somebody help me with writing a real-life problem on this subject Finding angle measures of a right or isosceles triangle given angles with variables thank you?
Answer:
See Explanation
Step-by-step explanation:
See attachment for illustration
(a) Right triangle
The sum of [tex]angles[/tex] in a [tex]right[/tex] [tex]triangle[/tex]is:
[tex]x + y + 90 = 180[/tex]
Subtract 90 from bot sides
[tex]x + y = 90[/tex]
Make x the subject
[tex]x = 90 - y[/tex]
Make y the subject
[tex]y = 90 - x[/tex]
This implies that, subtract the known angle from 90 to get the unknown angle.
Assume [tex]x = 40[/tex]
We make use of: [tex]y = 90 - x[/tex]
[tex]y = 90 - 40 = 50[/tex]
(b) Isosceles triangle
The sum of angles in an isosceles triangle is:
[tex]x + y + y = 180[/tex] ---- y appear twice because the base angles are equal
[tex]x + 2y = 180[/tex]
Make x the subject
[tex]x = 180 - 2y[/tex]
Make y the subject
[tex]y = \frac{180 - x}{2}[/tex]
Assume [tex]x = 40[/tex], we make use of:
[tex]y = \frac{180 - x}{2}[/tex]
[tex]y = \frac{180 - 40}{2}[/tex]
[tex]y = \frac{140}{2}[/tex]
[tex]y = 70[/tex]
Assume [tex]y = 70[/tex], we make use of:
[tex]x = 180 - 2y[/tex]
[tex]x = 180 - 2 * 70[/tex]
[tex]x = 180 - 140[/tex]
[tex]x = 40[/tex]
Can someone please help me!
Answer:
A)
Step-by-step explanation:
it is clearly reduced so you can eliminate the middle two options as answers;
reduction is always going to be a value less than 1 because a value greater than 1 would not be a reduction
(x-7) (-9) + (x-7) ( 4x+5)
Answer:
4x^2−32x+28
Step-by-step explanation:
The correct answer will be [tex]4x^{2} - 32x + 28[/tex]
Let's simplify step-by-step.
(x−7)(−9)+(x−7)(4x+5)
Distribute:
= (x)(−9)+(−7)(−9)+(x)(4x)+(x)(5)+(−7)(4x)+(−7)(5)
= −9x+63+4x2+5x+−28x+−35
Combine Like Terms:
= −9x+63+4x2+5x+−28x+−35
= (4x2)+(−9x+5x+−28x)+(63+−35)
= 4x2+−32x+28
Which number is less than 0.4???
A. 0.57
B.0.09
C. 0.7
D.0.90
E.0.5
As an inequality, the number that is less than 0.4 is 0.09
How to determine the number?The number is given as:
0.4
Let the number be represented as x.
So, we have:
x < 0.4
From the list of given options, the possible value of x is 0.09.
This means that 0.09 is less than 0.4
i.e 0.09 < 0.4
Hence, the number that is less than 0.4 is 0.09
Read more about inequality at:
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A clothing store donated a percent of every sale to charity. The total sales were $8850, so the store donated $531 what percent of $8850 was donated to charity?
Answer:
6%
Step-by-step explanation:
[tex]\frac{531}{8850} *\frac{x}{100} \\531*100= 5310053100/8850= 6%[/tex]
What is the combined area of the two bases of the following cylinder
The diameter is 12cm and the height is 15cm
A. 452.16cm^2
B. 904.32cm^2
C. 113.04cm^2
D. 226.08cm^2
A rectangular prism has a volume of 154 in3 . Which set of dimensions below could be the dimensions of the prism?
Answer:
2 by 7 by 11
Step-by-step explanation:
A rectangular prism has a volume of 154 in3
. Which set of dimensions below could be the dimensions of the prism?
6 by 8 by 3
5 by 6 by 7
2 by 7 by 11
Volume of a rectangular prism = base area x height
Base area = length x width
6 x 8 x 3 = 144 this is not equal to 154. This is not the correct dimension
5 x 6 x 7 = 210 this is not equal to 154. This is not the correct dimension
2 x 7 x 11 = 154 this is the correct dimension
The diameter of a circle is 46 yards. What is the circle's circumference? d=46 yd Use 3.14 for it.
Please helppppppp
Answer:
144.44 yd
Step-by-step explanation: