Answer:
The slope (m = rate of growth) for this function is 3/5. So, m= 3/5.
The y-intercept (b) for this function is located at (0,3). So, b=3.
Therefore, h(x) = 3/5x + 3
Step-by-step explanation:
Let the independent variable be x and dependent variable be y
y=h(x)
h is a linear function so it is represented in the general form of y=mx+c where
m is slope and c is the y-intercept.
Given "the dependent variable decreases 3 units for every 5 units the independent variable increases."
When x increases by 5, y decreases by 3
So the slope = rate of change of y / rate of change of x = -3/5
Given h(0)=3, h(0)=m(0)+c=3
c=3
Combining slope and y-intercept, y=-3/5*x+3
x-intercept is when y=0
0=-3/5*x+3
3/5*x=3
x=3*5/3=5
x-intercept=5
The slope of the linear function 3/5.
The y - intercept of the linear function - 3.
The x - intercept of the linear function - 5.
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 linear function g models a relationship in which the dependent variable decreases 3 units for every 5 units the independent variable increases.
And, g(0) = - 3
Now,
Since, A linear function g models a relationship in which the dependent variable decreases 3 units for every 5 units the independent variable increases.
So, Slope = Rate of growth
= - 3 / 5
Thus, The slope of the linear function - 3/5.
Hence, The general form of equation of line is,
⇒ y = mx + c
⇒ g (x) = - 3/5x + c
Since, g (0) = - 3
⇒ g (0) = - 3/5 × 0 + c
⇒ - 3 = c
Thus, The y - intercept of the linear function - 3.
Hence, We get the general form of equation of line as;
⇒ g (x) = - 3/5x - 3
For x - intercept put g (x) = 0, we get;
⇒ 0 = - 3/5x - 3
⇒ - 3/5x = 3
⇒ x = - 5
Thus, The x - intercept of the linear function - 5.
Therefore, The slope of the linear function 3/5.
The y - intercept of the linear function - 3.
The x - intercept of the linear function - 5.
Learn more about the equation of line visit:
https://brainly.com/question/18831322
#SPJ2
State what additional information is required in order to know that the triangles are congruent for the reason given. If possible, write the triangle congruence statement.
refer to attachment
ASA stands for "angle, side, angle" and means that we have two triangles where we know two angles and the included side are equal. If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
solve pls brainliest
Answer:
b
Step-by-step explanation:
I Think B is the right answer
What is an equation of the line that passes through the points (-4, 2) and (-8, -3)
Answer:
a line through (-4,2) and (-8,-3) has slope = (2+3)/(-4+8) = 5/4 = (y-2)/(x+4)
cross multiply
5x +20 = 4y-8
5x -4y =-28
Step-by-step explanation:
In a muncipality ,Two of the most well-known activities for teenagers are biking and motorcycling riding.Out of 100 teenagers,58 in biking,42 like motorcycling and 18 like both
a.create a veen diagram represent the problem
Answer:
See belowStep-by-step explanation:
Given:
Total number is 100Biking = 58Motorcycling = 42Both = 18Biking only:
58 - 18 = 40Motorcycling only:
42 - 18 = 24Neither:
100 - (40 + 18 + 24) = 18Venn diagram consists of:
Biking | Both (Intersection) | Motorcycling | Neither (outside of circles)
40 18 24 18
Consider the line y=3x-3 .
Find the equation of the line that is parallel to this line and passes through the point(7, 4) .
Find the equation of the line that is perpendicular to this line and passes through the point (7, 4).
Answer:
4.7
Step-by-step explanation:
(Pythagorean theorem) do the following lengths form a right triangle? (Show steps)
Answer:
yes
Step-by-step explanation:
Pythagorean theorem equation is a²+b²=c²
c is the longest side which is 5. a and b dont matter in this case
3²+4²=5²
9+ 16 = 25..........simply
25 = 25...............true, these numbers form a right triangle
Sweet Treats Bakery sells gourmet cookies. If three gourmet cookies cost $7.95, then
how much will it cost to buy 10 cookies?
Answer:
$26.50
Step-by-step explanation:
7.95/3=2.65
2.65*10=26.5
Answer:
$26.50
Step-by-step explanation:
If 3 cookies are 7.95, we can do 7.95/3 to find the cost of 1 cookie.
1 cookie is 7.95/3 = 2.65.
Now, we can find the cost of 10 cookies by simply multiplying 10 to the cost of 1 cookie, which is 2.65*10 = 26.5.
10 cookies will cost $26.50.
Grogg draws triangle ABC. Side BC is 4 inches shorter than side AB. and side AC is 6 inches longer than side BC. The perimeter of the triangle is 31 inches. What is the length of side AB?
Answer:
AB = 11
Step-by-step explanation:
AB = x
BC = x - 4
AC = 6 + BC Substitute BC
AC = 6 + (x - 4)
AC = 2 + x
The perimeter of the triangle is 31
Perimeter = AB + BC + AC perimeter is the sum of the sides
31 = (x )+ (x - 4 ) + (2 + x)
31 = 3x - 2
33 = 3x
11 = x
AB = x = 11 inches
Check:
AB = x ; AB = 11
BC = x - 4; BC = 11 - 4; BC = 7
AC = 2 + x; AC = 2 + 11; AC = 13
P = 11 + 7 + 13
= 31
GHOST FACE CULT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! help me
Answer:
it would be A
Step-by-step explanation:
because 4x-7=1
x=2
4(2)-7=1
8-7=1
I hope this helps you
(2x-1) (x+3)
Expand
Answer:
2x^2+5x-3
Step-by-step explanation:
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Solve for a
a + 4/5 = 1 1/2
Enter your answer as a fraction in simplest form in the box.
Answer:
a=47/10
Step-by-step explanation:
help pls <_> my sister needs it
Answer:
1. 2025
2. 737
3. 1365
4. 866
5. 923
6. 1662
7. 2013
8. 1562
9. 2400
Step-by-step explanation:
These are the answer
plz help me fast Simplify t12/t6
Answer:
t^6
Step-by-step explanation:
when dividing exponents, you subtract (refer to exponent rule)
t^12 - t^6 = t^6
suppose a traveler is selected from this sample at random. Let event A = home sharing and event B = fly. Are events A and B independent? No, P(A) = P(A|B). No, P(A) ≠ P(B|A). Yes, P(A) = P(A|B). Yes, P(A) ≠ P(B|A).
Answer:
Yes, P(A) = P(A|B)
Step-by-step explanation:
The context of the question is incomplete but I've assumed logically what it might be;
Whether a traveller flies or doesn't fly to their destination is unrelated to whether they home share or not;
Therefore, they are independent;
Independent events are events where the outcome of one event has no effect on the probabilities of the outcomes from a second event;
This can be represented mathematically as: P(A) = P(A|B);
The corollary of this is P(B) = P(B|A);
A common example easily understood would be if you flip a coin, there is a 50% chance of heads and 50% chance of tails;
If I flip and gets a heads first, the probability of getting a heads or tails on the second, third or tenth flip is going to be unchanged, i.e. 50% chance of heads and 50% chance of tails
12x+3=6 4x+1=2
what is happening in this step of the equation solving process?
Step-by-step explanation:
12x=6-3
12x=3
12x/12=3/12
x=1/4
4x+1=2
4x=2-1
4x=1
4x/4=14
x=1/4
I you have great day
Simplify the expression: 5+2a - (9+a)
Answer:
a - 4
Step-by-step explanation:
[tex]5+2a-(9+a)\\5+2a-9-a\\a-4[/tex]
what multiplication fact can you double to find 4 x 7?
Answer:
2 x 7
Step-by-step explanation:
4 x 7 = 28
Since you want doubled, we have to half to find start.
28/2 = 14
Only solid equation that equals 14 is 2 x 7
And since 4 is a double of 2, the answer checks out
The multiplication fact that can be doubled to find 4 x 7 is
2 x 7.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
4 x 7 = 28
Now,
The multiplication of 2 x 7 = 14.
If 2 x 7 is double we get,
2 x (2 x 7) = 2 x 14 = 28
Thus,
The multiplication fact is 2 x 7.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ5
Give the simplified radical form for each side length requested.
Pls answer only if you can explain and if your sure it’s the right answer.
I need help in understanding how to work it myself so please make sure you explain well.
Answer:
See belowStep-by-step explanation:
30×60×90 right triangle has side ratios as:
s : l : h = 1 : √3 : 2, where s- short leg, l - long leg, h - hypotenuse45×45×90 right triangle has side ratios as:
l : l : h = 1 : 1 : √2, where l- legs, h- hypotenuseIf you know one of the sides its easy to find the missing ones.
a) 30×60×90 right triangle
Given l = 12s : 12 : h = 1 : √3 : 2CB = s = 12 / √3 = 12√3/3 = 4√3 AB = h = 2s = 2*4√3 = 8√3b) 45×45×90 right triangle
Given l = √22BC = l = √22AB = l√2 = √22×√2= √44 = 2√11c) 30×60×90 right triangle
Given h = 20√6s : l : 20√6 = 1 : √3 : 2BC = s = h/2 = 20√6/2 = 10√6AC = l = s√3 = 10√6×√3 = 10√18 = 10×3√2 = 30√2someone help me pls
i need it now
just simply choose the letter of the correct answer
Answer:
Step-by-step explanation:
1. D
2. A
3. A
4. B
5. B
dont know the rest sorry
How many decimals in multiplication.
Answer:
In multiplication of a decimal by a decimal number we will learn how to find the product of a decimal by another decimal.
To multiply a decimal number by a decimal number, we first multiply the two numbers ignoring the decimal points and then place the decimal point in the product in such a way that decimal places in the product is equal to the sum of the decimal places in the given numbers.
If Rebecca Picked 20 apples and gave away 10 and got 30 more back. How many does she have now?
40
If she picked 20 apples and gave away 10, she would have 10 apples. But if she got 30 more apples, she would have 40 apples
Hope this helps!!! If so please give brainliest
Maki~
Answer:
40 apples
Step-by-step explanation:
20 apples-10 apples+30 apples=
10 apples+30 apples=40 apples
Solve.
1/3(x+3/5)=3
x=36/5
x=42/5
x=48/5
Answer:
x = 42/5 is the answer to this question
Option B is correct, the solution to the equation is x = 42/5.
The given equation is 1/3(x + 3/5) = 3.
We have to solve for x:
x is the variable in the equation.
Multiply both sides by 3 to get rid of the fraction:
1/3(x + 3/5) × 3 = 3 × 3
(x + 3/5) = 9
Subtract 3/5 from both sides to isolate the x term:
(x + 3/5) - 3/5 = 9 - 3/5
x = 9 - 3/5
Now, to combine the terms on the right side:
x = 45/5 - 3/5
x = 42/5
Therefore, the solution to the equation is x = 42/5.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ6
PLEASE HELP!!!!! I NEED THE ANSWER SOON
Two systems of equations are shown:
System A System B
3x + 2y = 3 −x − 14y = 1
−2x − 8y = −1 −2x − 8y = −1
Which of the following statements is correct about the two systems of equations?
A.)The value of x for System B will be one-third of the value of x for System A because the coefficient of x in the first equation of System B is one third times the coefficient of x in the first equation of System A.
B.) The value of x for System A will be equal to the value of y for System B because the first equation of System B is obtained by adding −4 to the first equation of System A and the second equations are identical.
C.) They will have the same solution because they represent the same lines when plotted on the coordinate axes.
D.)They will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 2 times the second equation of System A.
help asap for brainlist
Given g(x)=−6x+3, find g(−4). To earn full credit, show your work using a method explained in the Orientation.
Answer:
g(-4) = 24 + 3 = 27
Step-by-step explanation:
We find the value of g(-4) by substituting -4 for x in g(x)= −6x + 3:
g(-4) = -6(-4) + 3, or
g(-4) = 24 + 3 = 27
Answer:
27
Step-by-step explanation:
substitute -4 for x
-6(-4) + 3
24 + 3
27
hope it helps :)
mark brainliest!!
7. E(5, 4), F(8, 1) what is the slope of the line
Answer:
-1
Step-by-step explanation:
m = y2 - y1 / x2 - x1
= 1 - 4 / 8 - 5
= -3 / 3
= -1
Evaluate the equation. d - 4.12 = 12.8
A) d = 8.58
B) d = 8.68
C) d = 16.92
D) d = 17.02
Answer: i think its D
Step-by-step explanation:
Ryan made a $3000 down payment on a car. The total cost of the car was $7500. He made 36 equal monthly payments to pay the car in full. How much did Ryan pay per month?
Answer:
$125 per month
Step-by-step explanation:
. You want to buy a book worth Php 220.50. You can buy it only by making a sacrifice of not buying a soft drink every day. If soft drinks in your school cost Php15.75, how many days do you need to save before you can buy the book? * A. 13 B. 14 C. 15 D. 16
Answer:
B-14
Step-by-step explanation:
Divide 220.50 by 15.75 and you will get 14
Hope it can help you lovelots
Marguerite is selling space in an advertisement book for a community fund-raising event. Each (1/5) page in the book costs $13.5. What is the cost for (3/5) page.
Answer:
$40.5.
Step-by-step explanation:
if 1/5 of the book costs $13.5. then to find 3/5 you just have to times the answer by 3.
Thirty-six of 80 marbles are blue. What percent of the marbles are blue?
Answer:
45%
Step-by-step explanation:
The fraction of marbles that are blue is 36/80 = 9/20. To make that a percentage, multiply it by 100%.
9/20 × 100% = 45%
45% of the 80 marbles are blue.
