Answers
Answer:
(12,0)
Step-by-step explanation:
So whenever you are asked for an "intercept" it is the point where a line crosses the axis. The x intercept is where the line crosses at the x axis (horizontal line on the graph) and the y intercept is where the y axis crosses (vertical axis).
So this question is really asking where is the point when y = 0
The x values in the chart are 5 apart-- 22 +5 = 27, 27+ 5 = 32
The y values are 18 apart --> 36 + 18 = 54, 54+ 18 = 72
Make a little chart where y = 0 (this is where the x crosses) and you can see
there is a point at (17, 18) and then (12, 0) and that point is the x intercept.
Answer:
(12, 0)
Step-by-step explanation:
the x-intercept is the point, where y=0.
so, the second coordinate is therefore 0, no matter what.
now, at what x is that ?
let's find the line function.
a line is
y = a×x + b
let's use the first point (22, 36)
36 = a×22 + b
a = (36 - b)/22
let's use the second point (27, 54)
54 = a×27 + b
now we use the first expression describing a in terms of b and insert that into the second expression.
54 = 27×(36 - b)/22 + b
54×22 = 27×(36 - b) + 22b = 972 - 27b + 22b
1188 = 972 - 5b
216 = -5b
b = -43.2
=>
a = (36 - -43.2)/22 = (36 + 43.2)/22 =79.2/22 = 3.6
our line is
y = 3.6x - 43.2
so, now back to the question, at what x is y=0 ?
0 = 3.6x - 43.2
3.6x = 43.2
x = 12
Related Questions
3(x-1)≤ ½(x+1) -6. Topic is Linear inequalities
Answers
Answer:
[tex]x\le \:-1[/tex]
Step-by-step explanation:
[tex]3\left(x-1\right)\le \frac{1}{2}\left(x+1\right)-6[/tex]
[tex]3x-3\le \:-\frac{11}{2}+\frac{1}{2}x[/tex]
[tex]3x\le \:-\frac{5}{2}+\frac{1}{2}x\\[/tex]
[tex]\frac{5}{2}x\le \:-\frac{5}{2}[/tex]
[tex]5x\le \:-5[/tex]
[tex]x\le \:-1[/tex]
x = -1
3(-2) ≤ ½(0) - 6
-6 ≤ 0 - 6
-6 ≤ -6
This is true.
x = -2
3(-3) ≤ ½(-1) - 6
-9 ≤ -½ - 6
-9 ≤ [tex]-\frac{13}{2}[/tex]
This is also true.
Therefore, x ≤ -1.
PLZZZ HELP NO LINKS What graph represents the piecewise-defined function?
Answers
Answer:
option alphabet c is the answer
How many solutions does the following equation have:
16y + 7 = -3y + 10 + 8y
Answers
Answer:
one solution only
Step-by-step explanation:
16y + 7 = -3y + 10 + 8y
16y + 3y - 8y = 10 - 7
11y = 3
y = 3/11
The volume of a cylinder is 1280pi cm cubed. The radius is 8cm. Find the missing length.
Answers
For #4 - 5, the two polygons are similar. Find the
values of x and y.
60°
18
12
22
x + 4
4.
Answers
Answer:
x = 10.7
y = 120°
Step-by-step explanation:
If two polygons are similar, their corresponding angles would be the same, while the ratio of their corresponding sides will be equal.
Therefore, the angles of the two polygons given are equal, while the ratio of their corresponding side length is equal.
Thus:
✔️Find x:
22/(x + 4) = 18/12
22/(x + 4) = 3/2
Cross multiply
(x + 4)3 = 2*22
3x + 12 = 44
Subtract 12 from each side
3x = 44 - 12
3x = 32
x = 32/3
x = 10.7
✔️Find y:
y + 60° = 180° (adjacent angles are supplementary)
y = 180 - 60
y = 120°
I need help please please!!!
Answers
Answer:
y = 91
Step-by-step explanation:
y = 5² + 10(5) + 16
y = 25 + 50 + 16
y = 91
What is the image point of (4, 6) after the
transformation T5,2 O ry=-x?
Answers
Answer:
The image point is (-1,-2)
Step-by-step explanation:
Firstly, we have to reflect the given point over the line y = -x after which we perform the translation using the coordinate (5,2)
Mathematically;
If we reflect a point (x,y) over the line y = -x
we have the coordinate change to (-y,-x)
so, (4,6) becomes (-6,-4)
Then for the translation, we add 5 to the new x-axis coordinate, then add 2 to the new y-axis coordinate
we have this as;
(-6 + 5, 2-4) = (-1,-2)
The polynomial is missing the coefficient of the third and last terms.
8x^3 - 144x²y + _xy² - _y^3
Answers
In order to divide polynomials using synthetic division, you must be dividing by a linear expression and the leading coefficient (first number) must be a 1. For example, you can use synthetic division to divide by x + 3 or x – 6, but you cannot use synthetic division to divide by x2 + 2 or 3x2 – x + 7. If the leading coefficient is not a 1, then you must divide by the leading coefficient to turn the leading coefficient into a 1. For example, 3x – 1 would becomex minus 1/3 and 2x + 7 would becomex plus 7/2. If synthetic division will not work, then you must use long division.
find the product (9x+9)(x+2)
Answers
Answer:
9x^2 + 27x + 18
Step-by-step explanation:
(9x + 9)(x + 2)
=9x(x + 2) +9(x + 2)
=9x^2 + 18x + 9x + 18
=9x^2 + 27x + 18
How do I solve this? (3^0y)^2x2(xy)^0
Answers
Answer:
(y ^2 ) (x ^2)
Step-by-step explanation:
Can someone pls help me!
Answers
Answer: y =2x-5
Work:
2x-y=5
-y=-2x+5
-1y/-1 = -2x+5/-1
y =2x-5
Find the probability that a randomly
selected point within the circle falls
in the red shaded area.
Ir = 4cm
2.5 cm
3 cm
3 cm
[?]%
Round to the nearest tenth of a percent.
Answers
Answer:
38.8%
Step-by-step explanation:
Area of the triange:
6*6.5*.5= 19.5
Area of the circle:
π*16= 16π
19.5/16π= .387940174
38.8%
Answer:
38.8%
Step-by-step explanation:
rotation,
glide reflection,
reflection,
translation.
Answers
Answer:
it appears to have TRANSLATED
Given that y is directly proportional to x. If y = 30 and x= 5, write an equation that connects y with x.
Answers
Answer: y = 6x
Step-by-step explanation:
Since this is a direct proportion, we will introduce the constant of proportionality here and this will be:
y = kx
Since y = 30 and x= 5,
30 = 5 × k
30 = 5k
k = 30/5
k = 6
Therefore, the equation that connects y to x will be:
y = kx
y = 6x
The equation that connects y to x is y = 6x.
2. A carpenter wants to cut a wood board that is feet long
d on
5
into pieces that are feet long. How many whole pieces
can be cut from the board? How much wood is left over
16
Answers
Answer:
2 whole pieces
5/24 feet left
Step-by-step explanation:
divide 5/6 by 5/16 = 2 2/3 pieces
so there are 2 whole pieces and 2/3 small piece.
The 2/3 small short equals to 5/16 x 2/3 = 5/24 ft
Solve: log2(3x + 8) = 5 Which is an equivalent equation?
Answers
Answer: 5/log (8) - 8/3
Step-by-step explanation:
Answer:
A:2^5=3x + 8 /x=8/The next part is B.x3=64 /x=4
Step-by-step explanation:
I just did it hope this helps
HELP
Use the definition of continuity and the properties of limits to show that’s the function…
Answers
Answer with Step-by-step explanation:
We are given that
[tex]g(x)=(x^2-3x-10)(x^2+2x^2-5x+4)[/tex]
x=-1
Using property of limit
[tex]\lim_{x\rightarrow -1}g(x)=\lim_{x\rightarrow -1}(x^2-3x-10)(3x^2-5x+4)[/tex]
=[tex](1+3-10)(3+5+4)[/tex]
=[tex](-6)(12)[/tex]
=[tex]-72[/tex]
[tex]g(-1)=(1+3-10)(1+2+5+4)[/tex]
[tex]g(-1)=(-6)(12)=-72[/tex]
[tex]\lim_{x\rightarrow -1}g(x)=g(-1)[/tex]
Hence, the function is continuous at x=-1
Irene faced north. She turned 270 ° to the left and then 90 ° more to the left.
In what direction is Irene now facing?
Answers
Elimination method
a-b=3
2a+3b=b
Answers
Answer:
a=3/2 b=-1 1/2
Step-by-step explanation:
Question 2 of 10
A rectangle's width is 5 feet less than its length. Write a quadratic function
that expresses the rectangle's area in terms of its length.
O A. A(1) = lw
B. A(1)=12 + 51
C. All) = w(w+5)
O D. All) = 12 - 51
A rectangle's width is 5 feet less than its length. Write a quadratic function
that expresses the rectangle's area in terms of its length.
O A. A(1) = lw
B. A(1)=12 + 51
C. All) = w(w+5)
O D. All) = 12 - 51
Answers
D and E are points on sides AB and AC respectively of triangle ABC such that DE || BC. If AD = x-1, DB = x – 3, AE = x + 3 and EC = x , the value of x is:
Answers
9514 1404 393
Answer:
9
Step-by-step explanation:
The triangles are similar, so corresponding sides are proportional.
AE/AD = EC/DB
(x+3)/(x -1) = x/(x -3)
x^2 -9 = x^2 -x . . . . . . . cross multiply
x = 9 . . . . . . . . . . . add x+9-x^2 to both sides
Triangle ABC is reflected across x = 1 and y = -3. What are the coordinates of reflection image of A after both reflections
Answers
Answer:
(1,0)&(0,-3)
Step-by-step explanation:
might be not sure..
9 What is the volume of the cone below? * 267.95 in3 33.49 in3 133.97 in3
Answers
Answer:
Volume of cone = 33.49 inch³
Step-by-step explanation:
Missing information;
Height of cone = 8 inch
Diameter of cone = 4 inch
Find:
Volume of cone
Computation:
Radius of cone = Diameter of cone / 2
Radius of cone = 4 / 2
Radius of cone = 2 inch
Volume of cone = [1/3][πr²h]
Volume of cone = [1/3][(3.14)(2)²8]
Volume of cone = [1/3][(3.14)(4)8]
Volume of cone = [1/3][(3.14)(32)]
Volume of cone = [1/3][100.48]
Volume of cone = 33.49 inch³
5 x 1/7
The question
Answers
Answer:
5/7 or 0.71 is the answer
Make 'r' the subject of this formula: 3r - 5 = p
Answers
Answer:
hey I am not about what the question says but I think this is the answer:
3r=p+5
so the subject is 3r
3r = p + 5
r = p + 5/3
La fórmula correcta para encontrar el valor del coseno de un ángulo agudo en un triángulo rectángulo dado es:
Answers
Answer:
El coseno del ángulo esta dado por:
[tex]cos(\theta)=\frac{CA}{H}[/tex]
Step-by-step explanation:
Si tenemos un triángulo recatángulo, el coseno del ángulo está dado por:
[tex]cos(\theta)=\frac{CA}{H}[/tex]
Donde:
CA es el cateto adyacenteH es la hipotenusa del triánguloEspero te haya sido de ayuda!
Use the data in the table to complete the sentence. x y –2 7 –1 6 0 5 1 4 The function has an average rate of change of __________.
Answers
Answer: To find the average rate of change, evaluate the function at the given points.
Evaluate the difference of the function at the given points.
Divide the difference of the function at the given points with the difference of the given points.
Step-by-step explanation:
The Average of rate is -1.
Everytime it goes up by one the y goes down by 1 so it would be -1.
The average rate of change of the function in the table given is: -1.
What is Average Rate of Chnge of a Function?Average rate of change of a function = change in y / change in x = rise/run.
Given the table representing a function, and using two set of ordered pairs, (-2, 7) and (0, 5):
Average rate of change of the function = (7 - 5)/(-2 - 0)
Average rate of change of the function = 2/-2
Average rate of change of the function = -1.
Learn more about average rate of change on:
https://brainly.com/question/11627203
Which graph represents y as a function of x?
Answers
Answer:
A
Step-by-step explanation:
By vertical line test, if you draw any vertical line, except for A, all graph meet at more than two points. So, graph A represents y as a function of x.
On the image below, which is the correct answer?
Answers
Answer:
d
Step-by-step explanation:
its the correct answer
Hope this helps:)
I don't really understand it's due soon can someone please help me
Answers
Answer:
60
Step-by-step explanation:
Given: 1/2a + 2/3b =50
(Since b is equal to 30 we will automatically replace b with 30)
Step 1: Simplify both sides of the equation.
1/2a+20=50
Step 2: Subtract 20 from both sides.
1/2a=50-20
1/2a=30
Step 3: Multiply both sides by 2.
2(1/2a) 2(30)
a=60
Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?
Answer:
a = 15
Step-by-step explanation:
1/2(a) + (2/3 x 30) = 50
2/3 x 30 = 20
1/2(a) + 20 = 50
Rearrange > 20 to -20
-20 + 50 = 30
1/2(a) = 30
Rearrange 1/2 to 2
2 > 30/2
30/2 = 15
a = 15
Hope this helps, and please let me know if it is correct or isn't.
Have a nice day
