Answer:
[tex]g(3) = 13[/tex]
Step-by-step explanation:
Given
[tex]g(0) = 1[/tex]
[tex]g(1) = 5[/tex]
Required
Find g(3)
Since g(x) is a linear function, then:
[tex]g(x) = mx + c[/tex]
For: [tex]g(0) = 1[/tex]
[tex]g(x) = mx + c[/tex]
[tex]g(0) = m*0 + c[/tex]
[tex]1 = 0 + c[/tex]
[tex]1 = c[/tex]
[tex]c = 1[/tex]
For: [tex]g(1) = 5[/tex]
[tex]g(x) = mx + c[/tex]
[tex]g(1) = m * 1 + c[/tex]
[tex]5 = m * 1 + c[/tex]
[tex]5 = m + c[/tex]
Substitute [tex]c = 1[/tex]
[tex]5 = m + 1[/tex]
[tex]m = 5 - 1[/tex]
[tex]m =4[/tex]
So, the function is:
[tex]g(x) = mx + c[/tex]
[tex]g(x) = 4x + 1[/tex]
Calculate g(3)
[tex]g(3) = 4*3 + 1[/tex]
[tex]g(3) = 12 + 1[/tex]
[tex]g(3) = 13[/tex]
HELPPP PLEASE ITS DUE TODAY!!!
Does the set of points represent a function? Explain.
Answer:
NO
Step-by-step explanation:
Recall: for a relation or a set of points to be a function, every x-value or input must have exactly one y-value or output.
From the given set of points, the x-value (inputs), -2, has two y-values (inputs), 1 and 3.
Therefore, the set of points does not represent a function.
PLEASE ANSWER THIS QUICK I WILL GIVE BRAINLIEST IF RIGHT AND WILL GIVE THANKS!
Answer:
4,896sq
Step-by-step explanation:
just multiply bro
Answer:
104m²
Step-by-step explanation:
[tex]Area =\frac{b_{12} + b_{2}}{2}*h=\frac{9+17}{2}*8=104m^{2}[/tex]
Help! find the area of the parallelogram
28.2
Step-by-step explanation
A=bh=6·4.7≈28.2
Find 110.9% of 133. Round to the nearest hundredth.
Answer:
147.50
Step-by-step explanation:
It is easy to set up the equation as a “butterfly”
x/133 = 110.9/100
cross multiply:
133(110.9)=100x
14749.7=100x ————-divide by 100 to get x alone
147.497 which would round to 147.50
Answer:
147.50
Step-by-step explanation:
BIG BRAIN AND MENTAL MATH
Evaluate the expression when a = 6 and x = -3.
-a+7x
Answer:
-27
Step-by-step explanation:
The equation -a+7x, when plugged in shows -6+7*(-3).
This gives us -6-21 which is -27.
By the way can you follow me on Brainly?
Thanks!
here's the question
Answer:
60
Step-by-step explanation:
perimeter (p) = 8 + 17 + 15 = 40
semi-perimeter (s) = p/2 = 20
Area = square root of s(s-a)(s-b)(s-c) where a,b,c are the sides of the triange by Herons formula.
Therefore, area = 20(20-8)(20-15)(20-17) = square root of 3600 = 60
a line is parallel to y=4x+1 and intersects the point (-2,4) what is the equation of this parallel line
Answer: y=4x+12
Step-by-step explanation:
a parallel line has the same slope, so the slope remains 4
use point slope formula to write the equation
[tex]y-y_{1} =m(x-x_{1} )\\y-4=4(x--2)\\y-4=4(x+2)\\y-4=4x+8\\y=4x+12[/tex]
Answer:
y=4x+12
Step-by-step explanation:
When two lines are parallel, their slopes are the same. In y=mx+c form, m is the slope. So the slope of our parallel line is 4:
y=4x+c
To find c, plug in (-2,4) into the equation because we know it's a point on the line:
4=4(-2)+c
4=-8+c
c=12
So our equation is y=4x+12
What is the exact mean or average number of crabs found per site? 
Answer:
just add them however many crabs their are just add all of the totals together then divide your answer by two.
to find the average result of rolling a six sided dice josh rolls a dice 100 times the table shows how many times josh rolled each number what is the mean or average of the dice rolls
Answer:
500
Step-by-step explanation:
The number of times that josh rolled each number is given so the mean or average of the dice rolls is 3.6.
What is probability?Probability is a branch of mathematics that deals with the study of random events or outcomes.
It is concerned with determining the likelihood of an event or outcome occurring in a given situation.
The probability of an event is a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain.
The average of dice roll is:
Average = 1/100 (15 x 1 + 18 x 2 + 14 x 3 + 16 x 4 + 19 x 5 +18 x 6)
Average = 1/100 (15 + 36 + 42 + 64 + 95 + 108)
Average = 1/100 x 36
Average = 3.6
Thus, the answer is 3.6.
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Your question seems incomplete, the probable complete question is:
look at pic 10 pts will mark brainilest
Answer:
120 cm squared
Step-by-step explanation:
To find this is like finding a rectangle, you can take the triangular part of it and move it over to the side to become a rectangle
we can find the rectangle side by doing
21-6=15
then multiply it
15*8=120
find the volume of the rectangular prism. geometry hw plz help
Answer:
189 cm^3
Step-by-step explanation:
7 times 9 times 3=189
Michelle and Jay both earn money by melting scrap iron. The amount of iron melted by Michelle, y cubic feet, after x hours is given by the equation y = 17/3x . The graph shows the amount of scrap iron melted by Jay after x hours. Who is spending more time scrapping iron? The picture is down below!
Pls don't put a link or I will report you!
Answer:
Jay
Step-by-step explanation:
by the graph, after 10 hours, Jay melts 95 ft³
by the equation y = 17/3x, after 10 hours, Michelle melts 0.57 ft³
2x + y =8 and 4x -2y = 6
Answer:
x=1.25 and y=-5.5
Step-by-step explanation:
2x+y=-8, 2x=-y-8 or 4x=-2y-16. Plug this value in the second equation, we have - 2y-16-2y=6, y=-5.5. Plugging this in any equation we have, x=1.25
De acuerdo con el ciclo práctico o ciclo real de funcionamiento de un motor, las válvulas de admisión y escape no se abren y cierran exactamente en los puntos muertos superior e inferior. Debido a esto se genera un instante donde están abiertas las válvula de admisión y de escape al mismo tiempo, a lo que se le conoce como traslape o cruce valvular - ¿Cómo se determina el traslape?
Answer:
no one here speaks spanish-
Step-by-step explanation:
In a class of 10, there are 5 students who play soccer.
If the teacher chooses 2 students, what is the probability that both of them play soccer?
Answer:
Step-by-step explanation: 5/10=1/2 - if one student are chosen, who plays soccer
4/9 if then the second student are chosen, who plays soccer
1/2*4/9=2/9 the probability that both students play soccer
help pleaseeeeeeeeeeeeee
Answer:
a
Step-by-step explanation:
Which image shows the position of
2
n a number line?
ОА
2
-1
0
1
OB.
th
1
-1
-3
- 2
2
3
Ос.
-2
0
-3
1
2
3
D.
+
-2
- 1
Answer:
b
Step-by-step explanation:
what is the mean of 4,5,8,3,4
Answer:
4.8
Step-by-step explanation:
4+5+8+3+4=24
24/5=4.8
A true/false test has questions. A passing grade is % or more correct answers.
a. What is the probability that a person will guess correctly on one true/false question?
Answer:
50%
Step-by-step explanation:
Suppose 12% of students surveyed said they have tried riding a zip line.
a. How many would say they have tried riding a zip line if 100 students were surveyed.
Answer:
12.
12% of 100= 12.
what does 2 x 8/10 equal?
Answer:
1.6
Step-by-step explanation:
8/10 x 2
2 divides 10
8/5
8 divided by 5=1.6
please give me branliyest
20 PTS LOOK AT PIC FOR QUESTION WILL MARK BRAINILEST clc
Answer:
295 square feet
Step-by-step explanation:
Break the figure up into 3 rectangles, and then find the area of each rectangle and add all areas together.
15*3=45
19*10=190
15*4=60
45+190+60=295
Answer:26 *15*4*5*3=23400
Step-by-step explanation: Area is measured in square units such as square inches, square feet or square meters. To find the area of a rectangle, multiply the length by the width. The formula is: A = L * W where A is the area, L is the length, W is the width, and * means multiply.
At 1am the temperature was -6°C. At 5am it was -1°C. If the temperature
continues to rise steadily, what will the temperature be at 9am?
Answer:
4 temp at 9 am
Step-by-step explanation:
At 1am temp=-6
At 5am temp=-1
5-1=4 hours and temp difference is -6+1=-5
so at 9 am temp will be -1+5=4
An artist makes triangular -shaped sculptures using steel long. There are several rods are 12,13,14,15 or 16 feet long .there are several rods of each length?
Answer:
You are having a stroke.
Step-by-step explanation:
1. Go to the hospital.
A dress that is size x in France is equaivalent to size d(x) in the United States, where d(x)x32.
(a). Find a function that will convert U.S. dress size to French dress size.
(b) Use the inverse function to find the French size of a dress if it is U.S. size .
Answer:
[tex](a)\ d'(x) = x + 32[/tex] i.e. The inverse function
[tex](b)\ d'(10) = 42[/tex] i.e. The French size of a dress if it is U.S. size 10 is 42.
Step-by-step explanation:
Given
[tex]d(x) = x - 32[/tex]
Solving (a): The inverse function
[tex]d(x) = x - 32[/tex]
Replace d(x) with y
[tex]y = x - 32[/tex]
Swap y and x
[tex]x = y - 32[/tex]
Make y the subject
[tex]y = x + 32[/tex]
Replace y with d'(x)
[tex]d'(x) = x + 32[/tex]
Hence, the inverse function is: [tex]d'(x) = x + 32[/tex]
Solving (b): US size of 10
[tex]d'(x) = x + 32[/tex]
Substitute [tex]x =10[/tex]
[tex]d'(10) = 10 + 32[/tex]
[tex]d'(10) = 42[/tex]
An engineer traveled 150 mi by car and then an additional 630 mi by plane. The rate of the plane was three times the rate of the car. The total trip took 8 h. Find the rate of the car.
Answer:
Step-by-step explanation:
150 mile by car x mph
630 mile by plane 3x mph
Total travel time equal 8 hours
150 / x mile / (mile / hour) = hour
630 / 3x mile / (mile / hour) = hour
150/x + 630/3x = 8 hours
450/3x + 630/3x = 8 hours
450 + 630 = 8(3x) = 24x
1080 = 24x
45 = x the rate of the car is 45 mph
There is a rectangular path for running in Kaylee's town. She runs around the path everyday. one side of the path is 5 1/2 kilometers long. Another sode is 3 1/2 kilometers long.
Answer:
3.45
Step-by-step explanation:
calculator
Answer:
16.8 km
Step-by-step explanation:
Perimeter is the sum of all sides.
For a rectangle , perimeter = lenght + lenght + base + base
Perimeter = 5.2 + 5.2 + 3.2 + 3.2
Perimeter = 16.8 km
A standard bathtub holds 60 gallons of water. A full tub drains 12 gallons per minute. Which of the following tables best represents the situation?
J.
x represents the minutes and y shows how many gallons over that time.
The correct table for best represents the situation is shown in Table J.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
A standard bathtub holds 60 gallons of water.
And, A full tub drains 12 gallons per minute.
Now, From table J;
Rate of change is,
⇒ (24 - 12) / (2 - 1)
⇒ 12 / 1
⇒ 12 gallons per minutes
Which is given in situation.
Thus, The correct table for best represents the situation is shown in Table J.
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Find the area of the parallelogram shown below.
6
10
11
square units?
Answer:
66 Sq. un
Step-by-step explanation:
The Intuition for why the area of a parallelogram is A=bh (area = base x height)
The formula for the area of a parallelogram is base times height, just like the formula for the area of a rectangle.
Have a great day!
A television selling for $940.00 is marked down by 15%. What is the price after the markdown?
Step-by-step explanation:
100%-> 940.00
100%-15%=85%
85%->940.00 ÷ 100 x 85
=799. 00
