9514 1404 393
Answer:
y = 3x +5
Step-by-step explanation:
We are told the height increase is 3 ft in 1 year. That is the slope of the linear function representing height.
We are told that in year 1 the height was 8 ft, and that it was 3 ft less in the previous year. That is, it was 5 ft high in year 0. So, the y-intercept of the function is 5.
The slope-intercept equation is ...
y = mx + b . . . . for slope m and y-intercept b
y = 3x + 5
What is a and b pls answer ASAP I need it !!! Plsss
Answer:
The value of a = 5.
the value of b = 6.
Step-by-step explanation:
Given the points on the line
(6, 10)(a, 8)(4, b)(2, 2)Given that all of the points are on the same line and the line represents a linear function.
Thus, the slope between any two points must be the same.
First, determine the slope between (6, 10) and (2, 2)
(x₁, y₁) = (6, 10)
(x₂, y₂) = (2, 2)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [2 - 10] / [2 - 6]
= -8 / -4
= 2
Thus, the slope of the line = m = 2
Determine the value 'a'
(x₁, y₁) = (6, 10)
(x₂, y₂) = (a, 8)
Using the slope formula to determine the value of 'a'
Slope = [y₂ - y₁] / [x₂ - x₁]
As the slope between two points is 2.
now substitute slope = 2, (x₁, y₁) = (6, 10) and (x₂, y₂) = (a, 8) in the slope formula
Slope = [y₂ - y₁] / [x₂ - x₁]
2 = [8 - 10] / [a - 6]
2(a - 6) = 8 - 10
2a - 12 = -2
2a = -2 + 12
2a = 10
divide both sides by 2
a = 5
Therefore, the value of a = 5.
Determine the value 'b'
(x₁, y₁) = (2, 2)
(x₂, y₂) = (4, b)
Using the slope formula to determine the value of 'b'
Slope = [y₂ - y₁] / [x₂ - x₁]
As the slope between two points is 2.
now substitute slope = 2, (x₁, y₁) = (2, 2) and (x₂, y₂) = (4, b) in the slope formula
Slope = [y₂ - y₁] / [x₂ - x₁]
2 = [b - 2] / [4 - 2]
2(4 - 2) = b - 2
8 - 4 =b - 2
4 = b - 2
b = 6
Therefore, the value of b = 6
3.1= -5.9+x, x=?
what does this answer to
Answer:
6-2=3
Step-by-step explanation:
5234.9
Answer:
x = 9
Step-by-step explanation:
3.1= -5.9+x
x - 5.9 = 3.1
x - 5.9 + 5.9 = 3.1 + 5.9
x = 9
For each sequence, find the first 4 terms and the 10th term.
a) 3n + 4
b) 4n-5
Answer:
see explanation
Step-by-step explanation:
To find the first 4 terms substitute n = 1, 2, 3, 4 into the formula, that is
(a)
a₁ = 3(1) + 4 = 3 + 4 = 7
a₂ = 3(2) + 4 = 6 + 4 = 10
a₃ = 3(3) + 4 = 9 + 4 = 13
a₄ = 3(4) + 4 = 12 + 4 = 16
Similarly substitute n = 10 for tenth term
a₁₀ = 3(10) + 4 = 30 + 4 = 34
(b)
a₁ = 4(1) - 5 = 4 - 5 = - 1
a₂ = 4(2) - 5 = 8 - 5 = 3
a₃ = 4(3) - 5 = 12 - 5 = 7
a₄ = 4(4) - 5 = 16 - 5 = 11, and
a₁₀ = 4(10) - 5 = 40 - 5 = 35
Rewrite with positive exponents: 7^-3
Answer:
1/7^3 (One over seven thirds)
Step-by-step explanation:
Speedy Cav Company uses the following to determine ride costs:
A $5.00 flat fee for a ride.
An additional $0.75 for each mile traveled.
Which equation represents the cost of a car ride from Speedy Cab Company?
A. t = 5x + 0.75
B. t = 0.75 + 5
C. t = 0.75x + 5
D. t = 5x - 0.75
I need help please, I am weird. I know
Answer: -10x+9
Step-by-step explanation:
1. Remove parantheses:
-2x+10-8x-1
2. Simpify: -2x-8x+10-1 => -10x+9
Have a nice day! :D
3
Find the slope and y-intercept from the following graph of a linear equation.
Answer:
A. Slope = 4 and y-intercept = 3
One bike has 2 wheels.
Which shows how many wheels (y) 4 bikes have?
A. Y=2+4
B. Y=2 x 4
C. Y= 2-4
Write 2 equivalent fractions for the following fractions, use 2/2 and 3/3. 2/3
Answer:
[tex]\frac{4}{4} ,\frac{5}{5}[/tex]
Step-by-step explanation:
In order to find the answer to this question you need to remember that if the denominator and the numerator are the same they equal one or one whole.
[tex]\frac{2}{2} =1[/tex]
[tex]\frac{3}{3}=1[/tex]
[tex]\frac{4}{4}=1[/tex]
[tex]\frac{5}{5} =1[/tex]
As long as the numerator and the denominator are the same they will be equivalent to 2/2 and 3/3.
Hope this helps.
Solve 2(x - 5) = 3(x + 7)
Answer:
x = -31
Step-by-step explanation:
2(x-5) = 3(x+7) 1. Use distributive property
2x - 10 = 3x + 21 2. Add 10 on both sides
2x = 3x + 31 3. Subtract 3x on both sides
-x = 31 4. Divide by -1
x = -31
I urgently need help!!!!!!
Answer:
Step-by-step explanation:
e
Answer:
Angle KMN is 79°
Hope this helps.
What is the least common denominator of the rational expressions below?
2/7 - 7/4x^2+12x
O A. 4x^2(x + 3)
O B. x^2(x + 3)
O c. x^2(x + 3)
O D. 4x^2(x+3)
Answer:
A. 4x^2(c+3)
Step-by-step explanation:
Does y=10 true or false??
Answer:
i think no it doesnt so false
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
urgent I need help pls
Ken placed a 6. feet ladder against a wall , creating the triangle shown in the figure below at what height on the wall does the top of the ladder reach
Answer: c
Step-by-step explanation:
when solving a linear system by substitution, how do you decide which variable to solve first?
Answer: whichever one is easiest to get by itself.
Step-by-step explanation:
A popular Web site reached 7.5 million users during the week of March 7, 2011. This number represents a 33 percent increase from the week before. How many users did the Web site have the week before?
Answer:
5.7 million
Step-by-step explanation:
Let the number of users be x
x + 33% of x = 7.5 million
x + 0.33x = 7.5 million
1.33x = 7.5
x = 7.5/1.33
x = 5.7 million
11+19+12+245+1245+23567=
find the 75th term of the following arithmetic sequence 3, 7,11,15,...
Answer:
19
Step-by-step explanation:
Determine the slope and the y-intercept Y=2x-3
Answer: The slope is 2 and the y-intercept is -3.
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
In slope-intercept form the slope is always the number right in front of the X
Jonathan is in a class of 15 boys and 35 girls.40%of the students in the class take the bus to school how many students do not take the bus to school ?
Mrs Jones uses 1/4 of a packet of spaghetti each time she cooks pasta.
How many meals will 5 packets of spaghetti last for?
Please hurry need done fast!
Answer: table 1 is proportional y is 8 times x, and table 2 is not proportional
Step-by-step explanation:
5*8= 40 6*8= 48 7*8=56 so it’s8
5*1= 5 7*1 does not equal 21
A shoe store uses a 50% markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a wholesale cost of $59?
Answer:
$88.5Step-by-step explanation:
[tex]59+50\%\times59=59+0.5\times59=59+29.5=88.5[/tex]
Ms. Sanchez earns 3% commission on every car she sells. The dealership paid $20,000 for a car from an auction. The next day Ms. Sanchez sold the car for $38,000. What was Ms. Sanchez's commission from the
the difference in the car?
-hx + 4 = 2x- 1 solve this equation for x.
Answer:
x=-5/(-h-2)
Step-by-step explanation:
-hx+4=2x-1
-hx=2x-5
-hx-2x=-5
x(-h-2)=-5
x=-5/(-h-2)
Let me know if this helps!
The equation; -hx + 4 = 2x- 1 when solved for x is; x = 5/(2 +h)
Change of subject of formulaThe given equation is;
-hx + 4 = 2x- 1By collecting like terms; we have;
2x + hx = 4 + 1x(2 +h) = 5x = 5/(2+h)Read more on change of subject;
https://brainly.com/question/739085
Solve for all values of c in simplest form.
|C – 21 |= 12
Answer:
33, 9
Step-by-step explanation:
I33-21I=12
I9-21I=
I-12I=12
Every SUM of an absolute value will always be positive!!
You scored 80 points on your first math test. On the next test you scored 96 points. What is the percent increase?
Answer:
20%
Step-by-step explanation:
96-80/80 *100
16/80*100
1/5*100 =20
Solve without using a calculator:
sin²20° + sec²20°
Step-by-step explanation:
sin
2
(
20
°
)
+
sec
2
(
20
°
)
Simplify each term.
Tap for fewer steps...
Rewrite
sec
(
20
°
)
in terms of sines and cosines.
sin
2
(
20
°
)
+
(
1
cos
(
20
°
)
)
2
Apply the product rule to
1
cos
(
20
°
)
.
sin
2
(
20
°
)
+
1
2
cos
2
(
20
°
)
One to any power is one.
sin
2
(
20
°
)
+
1
cos
2
(
20
°
)
Simplify each term.
Tap for fewer steps...
Rewrite
1
as
1
2
.
sin
2
(
20
°
)
+
1
2
cos
2
(
20
°
)
Rewrite
1
2
cos
2
(
20
°
)
as
(
1
cos
(
20
°
)
)
2
.
sin
2
(
20
°
)
+
(
1
cos
(
20
°
)
)
2
Convert from
1
cos
(
20
°
)
to
sec
(
20
°
)
.
sin
2
(
20
°
)
+
sec
2
(
20
°
)
The result can be shown in multiple forms.
Exact Form:
sin
2
(
20
°
)
+
sec
2
(
20
°
)
Decimal Form:
1.24945210
I need help with geometry
Answer:
Rhombus and angle 1 = 35
Step-by-step explanation:
The parallelogram has the same marking on each of its sides, indicating that all the sides are equal in length. It is, therefore, a rhombus.
It is given that one of the angles measures 110 degrees. The other angle is 70 degrees (because 180 - 110 = 70). Since it is bisected by a line, divide the angle by 2 (70/2). You get 35 degrees. Therefore, the measure of angle 1 is 35 degrees.
I hope this helps! :)
