Answer:
Slope = 3
Step-by-step explanation:
Slope formula
(y2 - y1) / ( x2 - x1)
Where the x and y values are derived from the coordinates
Choose any two given ordered pairs and plug them into the formula
The points chosen may vary but the points I chose were (1,3) and (2,6)
( Note that ordered pairs are written as (x,y))
Next we want to define the variables
x1 = 1
x2 = 2
y1 = 3
y2 = 6
Finally we plug in the values into the slope formula
(6-3) / (2-1)
Subtract top values
3/(2-1)
Subtract bottom values
3/1
Simplify
slope = 3
The domain of the function is the set of all real numbers, and the range of the function is the set of all real numbers greater than or equal to
Answer:
Step-by-step explanation:
PLEASE SOMEONE HELP ME I WILL GIVE BRAINLIEST
Find the percent change and tell whether it is a percent decrease or
increase.
Original amount: 30
End amount: 45
If f(x) = 3x + 2, what is f(5)?
Answer:
17
Step-by-step explanation:
f(x) = 3x + 2
Let x=5
f(5) = 3*5 + 2
Multiply first
= 15+2
Then add
= 17
Write and equation for a line that is parallel to the line 4y + 3x = 12
Answer:
y = -3/4 x + B
Step-by-step explanation:
B is the translation of the line across y-axis
The incomplete Venn diagram below shows the number of students in a class of 28 who play football and tennis. U F x T U = {all students in the class} F = {students who play football} T= {students who play tennis} Additional information about the class is that 12 students play tennis 15 students play football 8 students play ncither football nor tennis r students play BOTH football and tennis. (1) Complete the Venn diagram above to represent the information, showing the number of students in EACH subset. (3 marks) Calculate the value of x.
Answer:
28=12+15+8+x
28=35+x
35-28=x
x=7
what is the simplify answer to 4 3/5 + 15 ÷ 1/5 =
Answer:
79.6
Step-by-step explanation:
4 3/5+15÷1/5
23/5+15÷1/5
4.6+15÷0.2
4.6+75
79.6
Plot the coordinates of the point:
(a) whose co-ordinate is -5 and which lies on y axis.
(b) Which lies on x and y-axis both.
(c) whose abscissa is 3 and which lies on x-axis in cartasian plance.
Answer:
First, a regular point is written as a coordinate pair (x, y).
If the point lies on the x-axis, then we have y = 0
if the point lies on the y-axis, then x = 0
And x is the abscissa, y is the ordinate.
The points will be graphed at the end.
a)
Ordinate = -5, then y = -5
and it ies on the y-axis, then x = 0
So this point is represented by A = (0, -5)
b)
Lies on the y-axis and in the x-axis, then x = 0 and y = 0, so the point is represented by B = (0, 0)
c)
The abscissa is 3, so x = 3, and the point lies on the x-axis, so y = 0
Then this point is represented by C = (3, 0)
The graph with the 3 points are:
f(x) =2x+1 and g(x)=x²-7, find (f-g) (x)
help!!
Answer:
(f-g)(x)=2x+1-x^2+7
=2x-x^2+8
=-(x^2-2x-8)
=-(x^2-4x+2x-8)
=-{x(x-4)+2(x-4)}
=-(x+2)(x-4)
CAN SOMEONE HELP ME WITH THIS
Answer:
8 [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Find the LCD of the two fractions, which is six
3[tex]\frac{1}{2}[/tex] = 3 [tex]\frac{3}{6}[/tex]
---------------------------------------------------------------------------------------------------------------
5[tex]\frac{1}{6}[/tex] + 3 [tex]\frac{3}{6}[/tex] = 8[tex]\frac{4}{6}[/tex]
The next step is to reduce:
8[tex]\frac{4}{6}[/tex] = 8[tex]\frac{2}{3}[/tex]
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Have a great summer :)
Answer:
Step-by-step explanation:
[tex]5\frac{1}{6} +3\frac{1}{2} =\frac{31}{6} +\frac{7}{2} \\=\frac{31+21}{6}\\=\frac{52}{6} \\=\frac{26}{3} \\=8\frac{2}{3}[/tex]
Hunter is 9 years older than 3 times the age of his nephew.
Hunter is 33 years old. How old is his nephew?
Answer:
Hunter's nephew is 8 years old.
Step-by-step explanation:
We could set up an expression to represent the situation, then solve for the nephew's age. The age of the nephew should be represented by X.
3x + 9 = 33
To get 3x by itself, subtract 9 from both sides.
3x + 9 - 9 = 33 - 9
3x = 24
To get X alone, divide by 3 on both sides.
24 divided by 3 is 8. Hunter's nephew is 8 years old.
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Answer:
Umm lol I don't know why this person and said a weird message
Step-by-step explanation:
okay the answer is ufldnduejndhsjdnshsidmdjdhsoomsbdhdjdjdnd oof lol
what is the area of this rectangle?
Answer:
24 tiles^2
Step-by-step explanation:
Length = 6
width = 4
Area = Length x width
= 6 x 4
= 24 tiles^2
PLEASE HELP! Math (recursive sequences)
Answer:
a₄ = 123
Step-by-step explanation:
a₁ = 1
a₂ = (1)² + 2
a₂ = 3
a₃ = (3)² + 2
a₃ = 11
a₄ = (11)² + 2
a₄ = 123
Out of 113 students, it was found that 18 drink neither tea nor coffee, 67 drink tea and 37 drink coffee.Find:
i) How many students drink coffee only?
ii) How many students like tea only?
Also show in the Venn diagram?
Answer:
Step-by-step explanation:
Write an equation of the line that passes through the point (4,5) and has a slope of -2.
Answer:
y = - 2x + 13
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 2 , then
y = - 2x + c ← is the partial equation
To find c substitute (4, 5) into the partial equation
5 = - 8 + c ⇒ c = 5 + 8 = 13
y = - 2x + 13 ← equation of line
Answer:
Step-by-step explanation:
slope=-2
now using slope intercet formof equation of straight line,we get
y=mx+b
or, y=-2x + b
y + 2x =b
2x + y=b ...................... eq(i)
since the line passes through the point (4,5) it satisfies the equation (i)
y=5 and x=4 so,
equation is 2x +y =b
2*4 + 5=b
8+5=b
13=b
substituting the value of b in eq(i)
2x + y=b
2x + y=13
2x + y-13=0 is the required equation of the line.
Which one is it?
a) <
b) =
c) >
Answer:
B) =
Step-by-step explanation:
When you calculate the equation on the left (32 + 4 = 36) then the one on the right (6 × 6 = 36), and they will be both be equal.
---------------------------------------------------------------------------------------------------------------
Have a great summer :)
1 Find the slope of a line which passes through the points P(-3, 2) and Q(1, 5)
Answer:
3/4
Step-by-step explanation:
We can use the slope formula when given two points
m = ( y2-y1)/(x2-x1)
= ( 5-2)/(1 - -3)
= (5-2)/(1+3)
= 3/4
ok pls pls help !!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
everything can be found in the picture
Please help me i would give more points but i dont have much (Giving brainlest)
Answer:
Step-by-step explanation:
First, put them in order.
5.3x+3.6x+9.8-8.14
Add 5.3x and 3.6x
8.9x
Subtract 8.14 from 9.8
1.66
Find the volume of the sphere.
Either enter an exact answer in terms of 1 or use 3.14 for and round your final answer to the nearest
hundredth.5
Answer:
The volume of the sphere is 523.60
Step-by-step explanation:
The formula for volume of a sphere is :
V = [tex]\frac{4}{3} \pi r^{3}[/tex]
The radius of this sphere is 5, so let's plug that into our equation.
V = [tex]\frac{4}{3}[/tex] · [tex]\pi[/tex] · [tex]5^{3}[/tex]
≈ 523. 59878
Rounded to the nearest hundreth that is 523.60.
Help
Help
Help
Help
Help
Help
Answer:
105˚, 75˚
Step-by-step explanation:
<2 is 75˚ by same side angles of a transversal.
<1 is supplementary to <2 so 180-75 = 105˚
Please help I’ll give brainliest
Answer:
15
Step-by-step explanation:
15 cubed (15×15×15) equals 3375
Find the value of each variable
Answer:
Z = 65 Y = 115
Step-by-step explanation:
z+115 = 180
z=65
y + 65 +100+80= 360
y+245 = 360
y=115
Answer:
y = 115°
z = 65°
Step-by-step explanation:
*IMPORTANT* Straight line = 180° & Squares = 360°
1) 180° - 115° = 65°
z = 65°
2) 360° - 100° - 80° - 65° = 115°
Also, interior angles = exterior angles
A store paid $800 for a computer. To make a profit, they need to sell it for 15%
more than what they paid. What is the new price of the computer
Answer:
$920
Step-by-step explanation:
800(1.15) = 920
6
(
f
+
4
)
+
2
(
f
+
4
)
6(f+4) + 2(f+4)
Use the distributive property:
6f+24 + 2f + 8
Now combine like terms:
8f +32
The answer is 8f + 32
Answer:
8 f + 32
Step-by-step explanation:
6 ( f + 4 ) + 2 ( f + 4 )
Distribute
6 × f + 6 × 4 + 2 × f + 2 × 8
6 f + 24 + 2f + 8
Collect like terms
6 f + 2 f + 24 + 8
Add the numbers
8 f + 32
multiply the following using the vertical multiplication method: 3x^2+5x+1×x^2-2x+4
__________________________
Step 1: Combine 3x² and 1x² to get 4x²
Step 2: Combine 5x and -2x to get 3x
3x² + 5x + 1 × x² - 2x + 4
= 4x² + 5x - 2x + 4= 4x² + 3x + 4___________________________
Dada a função fx=0,15.X+900 , determine a) f(80) b) f(120) c) f(200) d) f(56)
Answer:
See answers below
Step-by-step explanation:
Given the function:
f(x) = 0.15x + 900
a) f(80) = 0.15(80) + 900
f(80) = 12 + 900
f(80) = 912
b) f(120) = 0.15(120) + 900
f(120) = 18 + 900
f(120) = 918
c) f(200) = 0.15(200) + 900
f(200) = 30 + 900
f(200) = 930
d) f(56) = 0.15(56) + 900
f(56) = 8.4 + 900
f(56) = 908.4
What is the correct ratio of each rational root of the polynomial Function
Answer:
factor of 6 and 5
Step-by-step explanation:
Write two numbers that multiply to the value on the top and add to the value on bottom
Answer:
Step-by-step explanation:
-10 and 9
-10×9=-90
-10+9=-1