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.
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Choose the graph of the inequality's solution. -4x + 8 > 12
Answer:
[tex]x < - 1[/tex]
You should have a circle on -1 with the arrow going left
Step-by-step explanation:
Subtract 8 from both sides.
[tex] - 4x + 8 > 12 \\ - 8 \: \: \: \: - 8[/tex]
[tex] - 4x > 4[/tex]
Divide by -4
[tex] \frac{ - 4x}{ - 4} > \frac{4}{ - 4} [/tex]
Since you are dividing by a negative, you need to flip the inequality.
[tex]x < - 1[/tex]
[tex] \frac{8}{ax} - 5 = - 3[/tex]
Solve for x. Assume a doesn't equal 0.
Answer:
x=4/a
Step-by-step explanation:
8/ax - 5= -3
+5 +5
8/ax=2
* ax *ax
8=2ax
/2a /2a
8/2a=x
simplify
4/a=x
Find the perimeter. Simplify your answer.
Answer:
The perimeter of the Parallelogram is 20z + 16
Step-by-step explanation:
For a Parallelogram
Perimeter = sum of all sides
P = (7z + 3) + (7z + 3) + (3z + 5) + (3z + 5)
P = 7z + 7z + 3z + 3z + 3 + 3 + 5 + 5
P = 20z + 16
Thus, The perimeter of the Parallelogram is 20z + 16
-TheUnknownScientist 72
1. Which of the following situations could be represented by the equation y = - 2x + 88
a) Trey has traveled 2 miles and continues to travel ala speed of 88 miles per a hour b) Greg bas $88 in a short term savings account, and he deposits $2 each day. c) The temperature in Williamsburg Is 88° and increases about 2° each houn d) Priscilla is grading her homework and has an 88 so far. She will lose 2 points
Answer:
Y = -44 (hope this helps :)
Step-by-step explanation:
=2Y+88
We move all terms to the left:
-(2Y+88)=0
We get rid of parentheses
-2Y-88=0
We move all terms containing Y to the left, all other terms to the right
-2Y=88
Y=88/-2
Y=-44
Answer:
its D
Step-by-step explanation:
I got this correct in schoology
Simplify the following expression.
5/6 x 3/5
Answer:
1/2
Step-by-step explanation:
5/6 • 3/5
15/30 = 1/2
Answer:
1/2
Step-by-step explanation:
For fraction multiplication, multiply the numerators and then multiply the denominators to get
5 × 3/ 6 × 5 = 15/30
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 15 and 30 using
GCF(15,30) = 15
15 ÷ 15/30 ÷ 15 = 1/2
Therefore:
5/6 × 3/5 = 1/2
Solve 1.25 x 4 + 3 x 2 divided by (1/2) to the 3rd power
The required solution to the given numerical expressions is 88.
What is a numerical expression?A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.
We have to determine the solution of 1.25 × 4 + 3 × 2 divided by (1/2) to the 3rd power
According to the given question,
⇒ (1.25 × 4 + 3 × 2) / (1/2)³
Apply the multiplication operation in the terms of the numerator,
⇒ (5 + 6) / (1/2)³
Apply the addition operation in the terms and expand the power of the denominator,
⇒ (11) / (1/8)
Reciprocal the term of denominator,
⇒ (11) × 8
⇒ 88
Therefore, the required solution to the given numerical expressions is 88.
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Help please anyone!!!!!!
Answer:
[tex]\huge\boxed{D)\frac{3p}{p-3} }[/tex]
Step-by-step explanation:
The first thing that can help you here is factoring every term.
[tex]p^2-4p-12[/tex]
Factor.
[tex](p-6)(p+2)[/tex]
[tex]6p+12[/tex]
Factor.
[tex]6(p+2)[/tex]
18p
Factor, keeping in mind the denominator of the other term.
[tex]6(3p)[/tex]
[tex]p^2-9p+18[/tex]
Factor.
[tex](p-6)(p-3)[/tex]
Now you have simplified your original problem:
[tex]\frac{p^2-4p-12}{6p+12} *\frac{18p}{p^2-9p+18}[/tex]
into:
[tex]\frac{(p-6)(p+2)}{6(p+2)} *\frac{6(3p)}{(p-6)(p-3)}[/tex]
Now, after multiplying the numerator and denominator of the fractions:
[tex]\frac{(p-6)(p+2)(6)(3p)}{(6)(p+2)(p-6)(p-3)}[/tex]
Then, you can simplify the fraction by cancelling terms:
[tex]\frac{3p}{p-3}[/tex]
Hope it helps :) and let me know if you want me to elaborate.
the decimal equivalent of 14/26
Step-by-step explanation:
14/26
Cancel numerator and denominator with 2 ,
7/13 = 0.5384
Answer:
0.538
Step-by-step explanation:
14/26 is basically 14 into 26
Can you help me on this ?
Answer:
what one?
Step-by-step explanation:
Mr. discrete told his students if everyone in the class did at least 35 of the 40 homework assignments for second nine weeks he would add 4% to their final test if he determines the score by doubling the number of correct problems out of 50 and then adding the bonus which inequality would determine the fewest problems a student could answer correctly and still have a A?
A student must answer at least 35 of the 40 homework assignments correctly to get an A.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
To determine the fewest number of problems a student could answer correctly and still get an A, we need to set up an inequality that represents the condition for getting an A.
If Mr. Discrete determines the score by doubling the number of correct problems out of 50 and then adding the bonus, then the score for each student can be represented by the equation:
2x + 4% × 50 = 100, where x is the number of correct problems.
If the student needs to get an A, then the score must be at least 90. Therefore, we can set up the inequality:
2x + 4% × 50 ≥ 90
Substituting 4% for 0.04, we get:
2x + 0.0450 ≥ 90
Solving for x, we find:
x ≥ 35
Therefore, to receive an A, a student must complete at least 35 out of the 40 homework assignments.
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what is a two way frequency table
Answer:
A two-way table is a way to display frequencies for two different categories gathered from a one group of people.
Step-by-step explanation:
Answer:
A two-way or contingency table is a statistical table that shows the observed number or frequency for two variables, the rows indicating one category and the columns indicating the other category.
Step-by-step explanation:
Which expression uses the associative property to make it easier to evaluate 143 - Ž)? 2 CAN O A. 7(a ) O B. (145) ( O C. 143.5) O D. (14.) SUBMIT
Answer:
the answer would be c brainlest if right :0
Step-by-step explanation:
Hello!
-----------------------------------------------------------------------------------------------------------------
I presume the answer is Option C.
It's much easier to evaluate this expression than the other ones.
Hope it helps!
~SparklingFlower
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angle x and angle y are complementary angles. angle x is eight times larger than angle y. what are the measurements of angle x and angle y?
Answer:
x=80
y=10
Step-by-step explanation:
HELP PLEASE ITS HARD
Answer:
the answer to your question is 9cm² for the Area
the answer is 9 cm square
types of vertical mirrors
Answer:
Rectangle.
Round.
Arched.
Novelty.
Square.
Oval.
Octagon.
Sunburst.
Hope this is what you're looking for :)
Brainliest please
2) State the area of the given triangle.
9
4
5
12
A) 24 square units
B) 36 square units
48 square units
D) 60 square units
Answer:
i'm pretty sure its 36 aka b
Step-by-step explanation:
Answer:
the answer is b
Step-by-step explanation:
took on k12
Find the perimeter. Simplify your answer.
Answer:
Step-by-step explanation:
let :
a= 8u+1
b=8u+1
c=5
perimeter=a+b+c
perimeter=8u+1+8u+1+5
perimeter=16u+7 units
Answer:
16u+7
Step-by-step explanation:
isosceles triangle has two sides equal. 2(one of the sides)+the base(5)
solve simultaneously for x and y if: x(x-3)+y(3-x)= 0
xxdrddddfffffdxfddsdddqqwedaqwwssde
Answer:
B
Step-by-step explanation:
(5x - 2)² + 35x - 14 = - 12 ( factor out 7 from each term in 35x - 14 )
(5x - 2)² + 7(5x - 2) = - 12 ( add 12 to both sides )
(5x - 2)² + 7(5x - 2) + 12 = 0
Substitute m = 5x - 2 into the equation then in terms of m, the equation is
m² + 7m + 12 = 0 → B
Sally bought 7.8 pounds of fruit for a class party. The class ate 7 pounds of the fruit. How much fruit is left?
Answer:
0.8 pounds
Step-by-step explanation:
7.8 - 7 is 0.8
help plz I need to solve this
Answer:
2,5
Step-by-step explanation:
Answer:
Slope = 2.5
This means that 2.5 mm of rain falls every 1 hour
Step-by-step explanation:
Slope if the line is y2-y1/x2-x1
so 10-5/4-2
5/2
2.5 mm/hr
HELP ASAP PLEASE!!!!!!
Answer:
B
Step-by-step explanation:
In a function, every x-coordinate must be a different number.
If the same number appears more than once as an x-coordinate, it is not a function.
Answer: B
Esitmate 242 PLEASEEEEEEEEE I NEED THIS
deffenition of polynomial function
Answer:
A polynomial function is a function such as a quadratic, a cubic,a quadratic, and so on, but to sum it up for you the answer is involving only non negative integer power of x.
Solve for b: A = 1 2 (a + b)h.
Answer:UwU
Step-by-step explanation:
A Function is defined as K(x)= 2x^2 -5x +3.The value of K(-3) is
Given that [tex]K(x)= 2x^2 -5x +3[/tex] as a function, the value of K(-3) can be found by substituting x for -3 into the function which will give us: [tex]\mathbf{K(-3) = 36}[/tex]
Given the function, [tex]K(x)= 2x^2 -5x +3[/tex], to find the value of K(-3), substitute -3 for x into [tex]K(x)= 2x^2 -5x +3[/tex].
Thus, substitute:[tex]K(-3)= 2(-3)^2 -5(-3) +3\\\\K(-3) = 18 + 15 + 3\\\\\mathbf{K(-3) = 36}[/tex]
Therefore, given that [tex]K(x)= 2x^2 -5x +3[/tex] as a function, the value of K(-3) can be found by substituting x for -3 into the function which will give us: [tex]\mathbf{K(-3) = 36}[/tex]
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CAN SOMEONE HELP ME PLEASE ASAP!
Step-by-step explanation:
the scaling factor from 15 to 45 is 3.
we need to shoot the same to the width :
14.5 × 3 = 43.5 cm
PLZZZ HELPPPP MEEEEEEE
Step-by-step explanation:
I can help you, but first make me brainliest
Please help! It's a quiz and I can't check the answer so it needs to be correct!!!
Answer:
the answer is jesus asdlkfjsfs
50 POINTS What is the greatest common factor of 4k, 18k4, and 12?
A) 2
B) 4
C) 2k
D) 4k
Answer:
The greatest common factor of 4k, 18k4, and 12 is 2.
Answer A 2
Hope this helps