Find the intercepts (if an answer does not exist enter DNE) be sure to graph the line as well
Answers
Question:
Solution:
x-intercept:
the x-intercept is when y= 0. Thus replacing this value into the given equation we get:
[tex]15x+10(0)\text{ = 30}[/tex]this is equivalent to:
[tex]15x+0\text{= 30}[/tex]this is equivalent to:
[tex]15x\text{ = 30}[/tex]solving for x, we get:
[tex]x\text{ = }\frac{30}{15}\text{ = 2}[/tex]so the point of x-interception is :
[tex](x,y)\text{ = (2,0)}[/tex]y-intercept:
the y-intercept is when x= 0. Thus replacing this value into the given equation we get:
[tex]15(0)+10y=30[/tex]this is equivalent to:
[tex]0\text{ + 10y = 30}[/tex]this is equivalent to:
[tex]10y\text{ = 30}[/tex]solving for y, we get:
[tex]y\text{ = }\frac{30}{10}=\text{ 3}[/tex]so the point of y-interception is :
[tex](x,y)\text{ = (0,3)}[/tex]We can conclude that the correct answer is:
x-intercept :
[tex](x,y)\text{ = (2,0)}[/tex]y-intercept is :
[tex](x,y)\text{ = (0,3)}[/tex]
Related Questions
Where ya got 12 from ?
Answers
Answer:
12 is the number that comes after 11 and before 13. 12 represents the number between 11 and 13. 12 is a composite number.
Step-by-step explanation:
12 is the number that comes after 11 and before 13.
12 represents the number between 11 and 13. 12 is a composite number.
Let f(x) = 9x - 8. Find (f o f)(1).
Answers
Let f(x) = 9x - 8. Find (f o f)(1).
we know that
(f o f)(1).=f(f(1))
step 1
find f(1)
f(1)=9(1)-8
f(1)=1
substitute
f(f(1))=f(1)=1
therefore
the answer is 1
Homework 4: Trigonometry:Finding Sides and Angle** This is a 2-page document! **x=7.3Directions: Solve for x. Round to the nearest tenth.
Answers
Using trigonometric ratio. SOHCAHTOA
[tex]\begin{gathered} \cos 63^{\circ}=\frac{adjacent}{\text{hypotenus}} \\ \cos 63^{\circ}=\frac{x}{16} \\ x=16\cos 63^{\circ} \\ x=16\times0.45399049974 \\ x=7.26384799583 \\ x\approx7.3 \end{gathered}[/tex]A parking garage charges a flat fee of $3 to enter the garage and then an additional hourly
charge to park. The cost to park in the garage can be modeled by the equation: P = 3+c.h
where c is the hourly rate to park and h is the number of hours parked in the garage.
a) Write an equation to find the number of hours a person parked if we know P and c.
b) If c=$2.25, find P if the person parks for 6 hours.
c) If P=$25.50, find how many hours the person parked if the cost per hour is $2.25.
Answers
If the cost to park in garage can be modeled by the equation P = 3+ch
Part A
The equation to find the number of hours a person parked h = (P-3) / c
Part B
If c = $2.25 and number of hours h =6 hours, then the cost to park in garage is $16.5
Part C
If P = $25.50, the person parked 10 hours if the cost per hour is $2.25
The flat fee of parking = $3
The cost to park in garage can be modeled by the equation
P = 3+ch
Where c is the hourly rate to park
h is the number of hours parked in the garage
Part A
The equation to find the number of hours a person parked is
P = 3+ch
c × h = P-3
h = (P-3) / c
Part B
c = $2.25
h = 6 hours
P = 3 + 2.25×6
= 3 + 13.5
= $16.5
Part C
P = $25.50
c = 2.25
h = (P-3)/c
= (25.50-3)/2.25
= 10 hours
Hence, if the cost to park in garage can be modeled by the equation P = 3+ch
Part A
The equation to find the number of hours a person parked h = (P-3) / c
Part B
If c = $2.25 and number of hours h =6 hours, then the cost to park in garage is $16.5
Part C
If P = $25.50, the person parked 10 hours if the cost per hour is $2.25
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can you help please this is really important
Answers
The value of x is 10 and the length of SU is 50.
Here SU is the line and T is the mid-point of the line
So from this we have
SU = ST + TU
ST = TU
SU = 2ST = 2TU
ST = 3x - 5 and TU = 2x + 5
As ST = TU
3x - 5 = 2x + 5
x = 10
SU = 2ST
= 2( 3x - 5)
= 2( 3 × 10 - 5)
= 2( 30 - 5)
= 2× 25
= 50
Therefore the value of x is 10 and the length of SU is 50.
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differentiate y = (x²-7x)^5 (3x^5-5x)
Answers
The given expression is
y = (x²-7x)^5 (3x^5-5x)
To differentiate, we would apply the product rule which is expressed as
(fg)' = f'g + fg'
Let f = (x²-7x)^5 and g = (3x^5-5x)
f' = 5(2x - 7)(x²-7x)^4
g' = 15x^4 - 5
By applying the product rule, it becomes
y' = 5(2x - 7)(3x^5-5x)(x²-7x)^4 + (15x^4 - 5)(x²-7x)^5
What are the dimensions, a, b, and c, of the net? 13 cm a = v cm b= cm cm 12 cm 15 cm 6 5 cm a с
Answers
Looking at the diagram of the triangular prism and its net, we can see that
a = width of the base = 5 cm
b = the slant height = 13 cm
c = length of the base = 15 cm
Use the drawing tool(s) to form the correct answer on the provided graph.The graph of function f is shown on the coordinate plane. Graph the line representing function g, if g is defined as shown below.g(x) = -1/2f(x + 2)
Answers
Given:
The graph of the function f is given and the function g is as:
[tex]g(x)=-\frac{1}{2}f(x+2)[/tex]Required:
To graph the function g.
Explanation:
The graph of the function f(x+2), shift the graph f(x) left 2 units by subtracting 2 from the x-coordinates of the points on the graph of f.
The graph of the function
[tex]\frac{1}{2}f(x+2)[/tex]here
[tex]a=\frac{1}{2}[/tex]So the graph of g has undergone a vertical shrinking by a factor of
[tex]\frac{1}{2}[/tex]The graph of the function
[tex]g(x)=-\frac{1}{2}f(x+2)[/tex]reflect the graph of
[tex]\frac{1}{2}f(x+2)[/tex]across the x-axis by multiplying the y coordinate of the points on the graph of
[tex]\frac{1}{2}f(x+2)[/tex]by -1.
Thus the graph of the function
[tex]g(x)=-\frac{1}{2}f(x+2)[/tex]is as:
Final Answer:
The graph of the function g is attached in the explanation part.
ANSWER ONLY A-Ca. what is the students speed from the 3rd to 5th minute?b. at what times during the bike ride did the student come to a stop?c. During what time intervals did the students speed increase?
Answers
SOLUTION:
Case: Distance time graph
Method:
a) the students speed from the 3rd to 5th minute
[tex]\begin{gathered} Speed,s \\ s=\frac{4-2.25}{5-3} \\ s=\frac{1.75}{2} \\ s=0.875miles\text{ }per\text{ }minute \end{gathered}[/tex]b) the times during the bike ride did the student come to a stop
d and h
8 minutes and 23 minutes
c) the students speed increase during.
b to c. 1 and 3 minutes
e to f. 11 and 15 minutes
f to g. 15 and 17 minutes
Jordan wants to use the Starz princess hall, the Dynamic DJ's as his music And Roscoe's for his equipment. If Jordan has a total of $800 and wants the music to play for 4 hours, how many people can Jordan party?
Answers
The number of people that can attend Jordan's party is 50 people.
How many people can attend Jordan's party?The equation that represents the total amount that would be spent at the party would be a linear equation. A linear equation increases at a constant rate.
The form of the linear equation would be:
Total amount = rental fee + (charge per hour of the Dynamic DJ x number of hours he plays) + (cost per person of Roscoe's rentals x number of people)
$800 = $400 + ($50 x 4) + ($4 x p)
$800 = $400 + $200 + $4p
$800 = $600 + $4p
$800 - $600 = $4p
$200 = $4p
p = $200 / $4
p = 50 people
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Rodger biked 30 miles in 2 hours. Write this rate as a unit rate.
Answers
Rodger biked 30 miles in 2 hours. Write this rate as a unit rate.
__________________________________
30 miles / 2 hours = 15 miles/hour
_________________________________________
Answer
15 miles/hour
Identify the domain and range of the function. y=x−−√−1
Answers
The domain of the function is [1, ∞) and the range of the function is [0,∞).
Domain and range:
The domain and range of a function are refers the set of all the inputs and outputs a function can give respectively.
Basically, domain takes all the possible input values from the set of real numbers whereas the range takes all the output values of the function.
Given,
Here we have the function
y = √x - 1
Now, here we need to find the domain and range of the function.
The given function is rewritten as,
√x - 1 > 0
Square both sides then we get,
x - 1 > 0
Add 1 on both sides then we get,
x > 1
Therefore, the domain is [1, ∞).
Similarly, let us consider, y ≥ 0
Therefore, the range is [0,∞).
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what is the value of f(x)=2(0.75)^x when x=3
Answers
Answer: f(3) = 0.84375
Step-by-step explanation:
f(3) is asking for the value of the function when x = 3, not multiplying f by 3. (f(x) is basically the output, y)
So we just plug in 3 for x and simplify (use PEMDAS)
f(3) = 2(0.75)^3
f(3) = 2(0.421875)
f(3) = 0.84375
Answer:
[tex]\frac{27}{32}[/tex]
Step-by-step explanation:
It may be a bit easier to represent 0.75 as a fraction, since we can use the following property of exponents: [tex](\frac{a}{b})^x = \frac{a^x}{b^x}[/tex]
We can represent 0.75 as: [tex]\frac{3}{4}[/tex]
And substituting this into the function we get: [tex]f(x)=2(\frac{3}{4})^x[/tex]
calculating the value when x=3, we get: [tex]f(3)=2(\frac{3}{4})^3[/tex]
using the property previously stated we get: [tex]f(3)=2(\frac{3^3}{4^3})[/tex]
Raising each value to the exponent we get: [tex]f(3)=2(\frac{27}{64})[/tex]
When we multiply by two, we can simplify by splitting up 64, into two factors: 2 and 32, to get: [tex]\frac{2*27}{32*2}[/tex]
From here it's easy to see that we can cancel out the values 2, to get: [tex]\frac{27}{32}[/tex]
Which is our answer!
Are the triangles congruent using AAS?
True
False
Answers
it would be SAS.
can someone help me please ?
Answers
The most appropriate choice for HCF of two numbers will be given by -
Maximum number of performers in each row so that all the rows are equal in length = 8
What is HCF?
HCF means Highest Common Factor. HCF of two numbers a and b is the largest number that is divides both a and b.
Number of instruments = 24
Number of flag bearers = 16
Maximum number of performers in each row so that all the rows are equal in length = HCF of 24 , 16
[tex]24 = 2^3 \times 3\\16 = 2^4[/tex]
HCF = [tex]2^3[/tex] = 8
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Please help I was sick today and I don’t understand
Answers
Answer:
This is a 30 60 90 triangle. They are saying the hypotenuse is 3x + 6 and the shortest side is 8x - 4. In a 30 60 90 triangle, the hypotenuse is 2 times the short side meaning that/
3x + 6 = 16x - 4
Now we can solve...
10 = 13x
x= [tex]\frac{10}{13}[/tex]
BE is the diameter of circle A. What's the measure of ∠BCE?Question 12 options:1) 90°2) 88°3) 180°4) 93°
Answers
Since BCE is an inscribed angle, it measures half the measure of the inscribed arc.
Angle BCE inscribes the arc BE of 180°, we have:
[tex]\begin{gathered} \text{BCE}=\frac{BE}{2} \\ BCE=\frac{180}{2} \\ \text{BCE}=90\degree \end{gathered}[/tex]Therefore the correct option is 1)
Classify the four angles of the quadrilateral. С 750 B 1050 90° 90-
Answers
Anlges A and D are right angles becuase they measure 90
Angle C is Acute because it is smaller than 90
Angle B is Obtuse because it is grather than 90
Classify the triangle with the following angle measure: 20^, 50^, 110^
Answers
An acute triangle is a triangle with three acute angles, whereas an obtuse triangle is a triangle with one obtuse angle and two acute angles.
An obtuse angle is a angle which is more than 90°.
In our problem, the triangle has a 110° angle, and 110°>90°; therefore, the answer is obtuse triangle
(b) Use the function to predict the average price per square foot in 2032 .
Answers
Answer:
1187.49
Step-by-step explanation:
[tex]P(40)=0.023(40)^3-0.289(40)^2+3.068(40)+55.170=1187.49[/tex]
In AUVW, UW is extended through point W to point X, mZUVW = (3x + 16)°, mZWUV = (2x + 8), and mZVWX= (8x - 18). Find mZWUV.
Answers
Let's draw the figure to better understand the problem.
Integers greater than -6 and less than 2
Answers
IN OTHER WORDS WE ARE LOOKING FOR WHOLE NUMBERS BETWEEN -6 AND 2
[tex] - 5 \\ - 4 \\ - 3 \\ - 2 \\ - 1 \\ 0 \\ 1[/tex]
ATTACHED IS THE SOLUTION
Answer:
1,0,-1,-2,-3,-4,-5
Step-by-step explanation:
7. Select all the equations that have the same solution as 3x - 6 = 18.
a. 3x = 12
b. 3x = 24
f.
c. 3(x - 2) = 18
d. 6x 12 = 36
e. 3x 12 = 36
18 = 5 - 3x
Answers
The equation which satisfied the given expression after simplification are (a) 3x = 24 and (c) 3(x - 2) = 18.
How simplification method work?
In mathematics, the simplification method is used for the equation formation for the problem statements. And it also convert the complicated expression into simpler one to make the calculation easy.
According to the question, the given equation can be simplified by using simplification method and it is written below:
The given equation is: 3x - 6 = 18
3x = 18 + 6 = 24 ⇒ 3x = 24
Similarly, 3x - 6 = 18
3(x - 2) = 18
Hence, the equation which satisfied the given expression after simplification are (a) 3x = 24 and (c) 3(x - 2) = 18.
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Use the rule for the order of operations to simplify: 8+6(6-2(5-4))
Answers
Given the expression below
[tex]8+6(6-2(5-4))[/tex]Step 1: Using PEMDAS rule
P=> Parenthesis
E=>Exponent
M=>Multiplication
D=>Division
A=>Addition
S=> Subtraction
From the rule above, we will start our simplification with the parenthesis
Step 1: simplify (5-4)
[tex]\begin{gathered} 8+6(6-2(5-4) \\ 8+6(6-2(1)) \end{gathered}[/tex]Step 2: Expand 2(1)=> 2x1, then simplify (6-2(1))
[tex]8+6(6-2(1))\Rightarrow8+6(6-2)\Rightarrow\cdot=8+6(4)[/tex]Step 3: Expand 6(4)=>6 x 4
[tex]8+6(4)\Rightarrow8+6\times4\Rightarrow8+24[/tex]Step 4: Add 8 and 24
[tex]8+24=32[/tex]Hence, the final answer is 32
Answer: your answer would be 32
Step-by-step explanation:
using PEMDAS we would first go by parentheses and use the order by each step.
Figures 1 and 2 are shown in the coordinate grid. Which is a true statement?
Answers
As per given by the question,
There are given two figure on coordinate grid, figures 1 and 2.
Now,
From concept of similar figure:
Similar figure means, that have the same shape and exactly the same in every way, on the other hand;
The similar figure means they are same shape but not the same size, then these figure is also called similar figure.
Now,
From concept of the congruent figure:
The congruent means, that two figure exactly the same that means, we can say that they are congruent, when both figure have same shape and same size.
So,
According to both concept, similar and congruent;
The given figure 1 and 2 is simililar, because of same shape. But due to different size, both figure have not congruent.
So, the given figures 1 and 2 is similar, but not congruent.
Hence, the option first is correct.
What does it mean by non collinear points and another name for angle ABD?
Answers
a) Point = could be any point A to D = for example A
b) Line : AD
Could be any line named by the endpoints.
c) Segment: Fragment of a line
AB
d) Ray: part of a line that has a fixed star but no end:
BE
e) Angle : Could be any angle, the middle letter is where the angle rests.
f) 3 collinear points: A,B,C
3 points that are in the same line
g)Opposite rays: same end point but opposite directions
BE and BC
h) Plane: infinite set of points forming a connected flat surface.
ABDC
i) 3 non collinear points: AEC
Three points that aren't on the same line
j) another name for m
Define a variable, write an inequality, and solve: A number decreased by 7 is at least 15
Answers
Inequality: [tex]x-7\ge 15[/tex]
Solution: [tex]x\ge 22[/tex]
Inequality is a mathematical statement which depicts the relation between two or more mathematical variable or quantities which involves in relation which is not equal or inequal.
Given the statement is "A number decreased by 7 is at least 15"
Let the number be the variable x.
Now decreased by 7 = x-7
Suitable inequality sign for at least statement is [tex]\ge[/tex]
So the required inequality is given by,
[tex]x-7\ge15[/tex]
Solving the same we get,
[tex]x-7+7\ge 15+7[/tex]
[tex]x\ge 22[/tex]
Thus the number is [tex]x\ge 22[/tex]
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The admission fee to an amusement park is $18. It costs an additional "c" dollars to rent a locker to hold your belongings. The total cost for 9 people to
enter the amusement park and each rent a locker is $252. How much does it cost for one person to rent a
Answers
18 x 9=162
252-162=90
90 divided by 9 is 10
PLEASE HELP WILL MARK BRANLIEST!!!
What is the equation of a line that is parallel to y = x + 2 and passes through the point (5,7)?
Enter your answer with no spaces.
Answers
Answer:
See below
Step-by-step explanation:
Slope of given line is 1 y = (1) x + 2
parallel line has same slope
so it will start to look like this y = (1) x + b
sub in the point 5,7 to find b = 2
final answer y=x+2
The following expression gives an approximate value of the total average credit card debt in a U.S. household (in dollars)
t
years after 1995.
420
t
+
5750
Use this expression to predict what the total average credit card debt was or will be in the year 2006.
Answer: In the year 2006, the total average credit card debt for a U.S. household will be (or was)
dollars.
Answers
In the year 2006, the total average credit card debt for a U.S. household was 10370 dollars.
How to solve Exponential functions?
We are given the expression that gives an approximate value of the total average credit card debt in a U.S. household (in dollars), t years after 1995 as;
420t + 5750
where t represents number of years after the year 1995. Thus, for the year 2006, the value of t is;
t = 2006 - 1995
t = 11 years
Thus;
f(11) = 420(11) + 5750
f(11) = 10370 dollars
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