x-intercept = 4, y-intercept = - 3
to find the intercepts, that is where the graph crosses the axes
let x = 0, in the equation for y- intercept
let y = 0, in the equation for x- intercept
x = 0 : - 4y = 12 ⇒ y = - 3 ⇒ (0, - 3) ← y - intercept
y = 0 : 3x = 12 ⇒ x = 4 ⇒ (4, 0 ) ← x- intercept
Hey there...
So this is a tough question.....
Let's start with the x first, then we will go to y.
So, here is the x.
Explanation: To find the x intercept, make the y = (0). Since we know that x needs 0 for the y coordinate.
3x-4(0)=12
x=4.
So the intercept for x = 4.
Now we have to do the y.
Explanation: To find the y, make x = (0), since know that y needs 0 in the front of the number.
3(0)-4y=12
y=-3
So the y = -3.
Hope this helps.....
Polynomial Equations word problem
(Screenshot included)
If the width is 3 less than the height, we can say that the width is x, and the height is x+3. As the tank is square based, we can say that the length is also x. If the tank has a capacity of 20, this is the volume of the tank. Using the formula for volume, we get (x)(x)(x+3)=20. We multiply this out to get x^3+3x^2=20. If we think this one through, we can realize that 2 works for x, as 8+12 = 20. This means that the dimensions are 2 by 2 by 2+3, or 5.
1/9(x+18)+1/3(2x+3)=x+3
First : Distributive Property
(1/9∙x)+(1/9∙18)
1/9x+18/9
(1/3∙2x)+(1/3∙3)
1/9x+2+2/3x+1=x+3
Second : Rearrange
1/9x+2/3x-x+3-2-1
Third : Solve! :D
-7/9x=0
7/9x=0
x=0
An animal shelter currently only has 30 dogs and 20 Cats. What is the ratio cats to animals?
Answer: 3:2
Step-by-step explanation:
Given : An animal shelter currently only has 30 dogs and 20 Cats.
i.e. Number of dogs = 30
Number of cats = 20
Then, the ratio of cats to animals is given by :-
[tex]\dfrac{\text{Number of cats}}{\text{Number of animals}}\\\\=\dfrac{30}{20}\\\\=\dfrac{3}{2} \ \ \text{[By dividing 10 in the numerator and denominator]}[/tex]
Therefore, the ratio of cats to animals = 3:2
Peter went bowling, Monday to Friday, two weeks in a row. He only bowled one game each time he went. He kept track of his scores below.
Scott has 25 baseball cards in his collection. On his birthday, Scott’s grandfather gives him his collection of 100 baseball cards. Scott trades 50 of his cards at the baseball card shop. How many cards did Scott not trade?
Scott starts with 25 plus the 100 from his grandfather making 125 then subtract 50 that he traded so you get 75
Simplify.
8^-4
8-^10 thats a fraction to
A) 8^-14
B) 8^-6
C) 8^6
D) 8^14
We have 8^(-4) over 8^(-10). The bases are both 8, so we subtract the exponents (numerator minus denominator).
[tex]\frac{8^{-4}}{8^{-10}} = 8^{-4-(-10)} = 8^{-4+10} = 8^{6}[/tex]
The final answer is choice C) 8^6
Daniel is a singer, and he promises his agent that he will give him a 25% commission based on what he makes from a show. After paying the agent, Daniel takes home $120. Use the diagram to answer the following questions.
Daniel’s agent made .
Daniel and the agent made a total of from the show.
Answer:
Daniels agent made $40.
Daniel and the agent made a total of $160 from the show.
Step-by-step explanation:
Given:
Let the total amount made from the show = x
Daniel's agent made = 25% of x
Daniel made = $120
From the question, we know that the total amount is the sume of what daniel and the agent took.
So,
x = 120 + 25% of x
x-0.25x = 120
0.75x = 120
x = 160.
Hence the total amount made from the show is $120.
Daniel's agent made = 25 % of 160
= 0.25*160
= 40
Hence, Daniel's agent made $40 from the show.
Answer:
40
160
Step-by-step explanation:
(05.05)On the coordinate plane below, what is the length of AB?
the lenght of the picture is 14
Find the value of x using the given information. Then find the measure of
What is the solution to the inequality?
-2/3 (2x - 1/2)<= 1/5x - 1
I hope this is the answer you're looking for!
Solve for b2: A=1/2(b1+b2)h
[tex]b_{2}[/tex] = [tex]\frac{2A}{h}[/tex] - [tex]b_{1}[/tex]
multiply both sides by 2 to eliminate the fraction
([tex]b_{1}[/tex] + [tex]b_{2}[/tex] )h = 2A
divide both sides by h
[tex]b_{1}[/tex] + [tex]b_{2}[/tex] = [tex]\frac{2A}{h}[/tex]
subtract [tex]b_{1}[/tex] from both sides
[tex]b_{2}[/tex] = [tex]\frac{2A}{h}[/tex] - [tex]b_{1}[/tex]
The product of 10 and m is less than 22
If you want an inequality, it would be 10m≤22 but the sign doesn't have a line under it
(couldn't find the one without the line)
If you want to solve then m≤2.2 and the line isn't under the sign
What’s -3r=1/2(32-8r)
It is safe to assume the goal is to solve for 'r'. To do so we need to isolate 'r'.
[tex]-3r = 1/2(32-8r)\\\\-3r = 16-4r\\\\r = 16[/tex]
What is the difference ? X/x^2-2x-15-4/x^2+2x-35
x / x² - 2x - 15 - 4 / x² + 2x - 35
FIND THE FACTOR OF EACH DENOMINATOR
= x / (x-5)(x+3)
- 4 / (x-5) (x+7)
FIND THE LCD AND MULTIPLY EACH TERM TO ARRIVE AT THE SAME DENOMINATOR.
= x / (x-5)(x+3) *
(x+7) / (x+7) - 4 / (x-5) (x+7) * (x+3)/(x+3)
PERFORM SUBTRACTION
= x2 + 7x / (x-5) (x+3) (x+7) - (4x + 12) / (x-5) (x+7) (x+3)
= x2 + 7x – 4x – 12 / (x-5) (x+3) (x+7)
this would be your answer = x² + 3x – 12 / (x-5) (x+3) (x+7)
Answer:D
Step-by-step explanation: I just did it on edge
What is the length of the hypotenuse of the triangle? 26 ft 34 ft 68 ft 74 ft
Answer: 26 ft.
Step-by-step explanation:
In the given picture, there is a right triangle.
The legs of the right triangles are 10 ft and 24 ft.
To find the length of hypotenuse, we use Pythagoras theorem, we get
[tex]H^2=10^2+24^2\\\\\Rightarrow\ H^2=100+576\\\\\Rightarrow\ H^2=676\\\\\Rightarrow\ H=\sqrt{676}\\\\\Rightarrow\ H=26\ ft[/tex]
Hence, the length of the hypotenuse = 26 ft.
Pythagoras theorem says that the square of the hypotenuseis equal to the sum of the squares of the other two sides.Find the common difference in the outputs to help find the missing outputs in the table
ɑ 5 6 7 8 9
b 3.8 4.6 5.6 ? ?
we have been given table containing 6 points.
let the numbers at question mark (?) are x and y respectivelly so we can rewrite the table as:
[tex]\left[\begin{array}{cccccc}a&5&6&7&8&9\\b&3.8&4.6&5.4&x&y\end{array}\right][/tex]
In the first row we see that numbers increase by 1 so that clearly means a=4.
Now we need to find the common difference in the outputs to help find the missing outputs in the table.
4.6-3.8=0.8
5.4-4.6=0.8
we are getting common difference of 0.8 so that means missing values can be found by adding or subtracting 0.8 as per their position.
b=3.8-0.8=3
x=5.4+0.8=6.2
y=6.2+0.8=7
Hence the final answer is given by table:
[tex]\left[\begin{array}{cccccc}4&5&6&7&8&9\\3&3.8&4.6&5.4&6.2&7\end{array}\right][/tex]
Please answer quickly thanks
The radius of a circle is 2 millimeters.what is the circles circumference ?
Answer is provided in the image attached.
Subtract. 405,000,000-1.7×10^8
405,000,000 - 1.7×10^8
= 4.05 × 10^8 - 1.7 × 10^8
= (4.05 - 1.7) × 10^8
= 2.35 × 10^8
Hope it helps
A square pyramid has base edge length 10 cm. The slant height of the pyramid is 13 cm. What is the volume of the pyramid?
Find the missing number to complete this division fact. 63 ÷ ∎ = 9
20 POINTS!!!!!!!!!! FIRST ANSWER OF BOTH GETS 5 STAR AND BRAINLIEST!
if f(x)=3x+1 Find the domain if the range x is 4 5 6
if f(x)=x+10 Find the domain if the range is x 10, 4, -6
f(x)=3x+1, range x={4,5,6} --> domain is a set of values {13, 16, 19}
f(x)=x+10, for x={10,4,-6} domain is a set of {4, 14, 20}
list all the number sets to which 2/3 belongs
2/3 belongs to a set of
* Rational numbers
* Real numbers
* Complex numbers
all at the same time
3x^2-28=2×^2+33 solving for x
If the outlier is removed, what is the mean of the data set below
Based on the data set: 21, 23, 19, 25, 83, 23, 21...83 is clearly the outlier
To find the mean, all we have to do is add up all the remaining numbers (since we got rid of the 83) then divide them by how many numbers were added
21 + 23 + 19 + 25 + 23 + 21 = 132
Now we divide 132 by how many numbers were added (6)
132 ÷ 6 = 22
Therefore, the mean of the data set is 22
Hope this helps you
-AaronWiseIsBae
Identify a pair of alternate exterior angles.
Answer: 1 ,5 and 2,6 (D is the correct answer)
Which function has a domain of all real numbers except x=pi/2+_npi?
A. Y=cos x
B. Y=cot x
C. Y= 1/sinx
D. Y=sec x
The answer would be D. Y=secx
Hope this helps and good luck!
A retiree invests 3,000 in a savings plan that pays 3% per year what will the account balance at the end of the first year
3000*.03= 90 so your balance would be 3000+90=$3090
Please help with this one...
One of the fastest recorded speeds of an alligator on land is 8.8 m/s. Approximately, what is this speed in kilometers per hour? [1 kilometer = 1,000 meters] [1 hour = 60 minutes = 3,600 seconds]
A 2.444 km/h
B 6.336 km/h
C 31.68 km/h
D 0.244 km/h
Here we are given the speed in meter per second as 8.8 m/s.
Now we have to convert this speed into kilometers per hour.
We are also given :
1 kilometer = 1000 meters and
1 hour = 60 minutes = 3,600 seconds
Now let us convert 8.8 m/s into km/h
1 m/ sec = (1/1000) km / (1/3600) hr
1 m/ sec = 18/5 km /hr
8.8 m/ sec = (18/5) * 8.8 km /hr
8.8 m/ sec = 31.68 km/h
Answer: So the speed in kilometers per hour is 31.68 km/hr. (option C)
Which of the following is a method used to solve systems of equations? A. Substitution B. Graphing C. Gaussian elimination D. All of the above
The method that is used to solve systems of equations is D. All of the above.
Based on the information, it should be noted that the substitution method, graphing, and the Gaussian elimination can all be used to solve a system of equations.The graphing method is the use of graphs. Substitution and Gaussian elimination methods are typically used to find the variables in a simultaneous equation.Therefore, the correct option is all of the above.
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