Answer:
Required equations in standard form are:
1. 3x+4y=12
2. -5x+2y = 10
Step-by-step explanation:
Standard form of equation is given as:
[tex]Ax+By = C[/tex]
1. x – intercept is 4 and y – intercept is 3.
The points will be:
(4,0) and (0,3)
Slope: m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m = \frac{3-0}{0-4}\\m = -\frac{3}{4}[/tex]
Slope intercept form of line is:
[tex]y = mx+b[/tex]
Putting the values of m and b(y-intercept)
[tex]y = -\frac{3}{4}x+3[/tex]
Multiplying whole equation by 4
[tex]4y = -3x+12\\3x+4y = 12[/tex]
2. x – intercept is -2 and y – intercept is 5
The points will be:
(-2,0) and (0,5)
Now
[tex]m = \frac{5-0}{0+2}\\m = \frac{5}{2}[/tex]
Putting the values of m and b in slope intercept form
[tex]y = \frac{5}{2}x+5[/tex]
Multiplying the equation by 2
[tex]2y = 5x+10[/tex]
[tex]-5x+2y=10[/tex]
Hence,
Required equations in standard form are:
1. 3x+4y=12
2. -5x+2y = 10
In Austin, Texas, 8 bats ate 40 grams of insects in one night. At this rate, how many grams of insects could 64 bats eat in one night?
Answer:
320 grams
Step-by-step explanation:
if 8 bats can eat 40 grams, then 64 bats can eat 320 grams because there is 8 times as much bats. so if 8x8 is 64 bats, then 40x8 is 320 grams
~Hope that helps!~
need your help with some math stuff
Answer:
What math stuff??
Step-by-step explanation:
A store manager created this table representing the relationship between the reported number of snow days during a given month, x, and the sales revenue of bags of rock salt, y, rounded to the nearest dollar.
Using the linear best-fit model for the data, what is the predicted sales revenue of rock salt given there were 11 snow days in the month?
$773.00
$1,374.00
$1,457.00
$1,474.00
Number of snow days
Rock salt sales revenue
2 $823.00
1 $725.00
3 $943.00
5 $1,086.00
4 $997.00
3 $951.00
7 $1,163.00
6 $1,098.00
Answer:
1,374.00
Step-by-step explanation:
.
Help.......................
Answer:
50% will be your answer
Answer:
50%
Step-by-step explanation:
half of 1 whole which is 100% is always 50% or 1/2
Find the slope. Im not good finding slope in a graph and fliping the numbers.
Answer:
[tex]\frac43[/tex]
Step-by-step explanation:
Hello!
We can calculate slope using the formula [tex]\frac{Rise}{Run}[/tex].
Rise is the change in y between two pointsRun is the change in x between two pointsThe two points that I'm going to choose is (0,-4) and (3,0).
SlopeChange in y (-4 and 0) is 4Change in x (0 and 3) is 3Therefore, the slope of the line is [tex]\frac43[/tex].
Answer: 4/3
Step-by-step explanation:
rise over run
PLEASEEEE ANSWERRRRRRRRR BBYIES!!
Last year at a certain high school, there were 80 boys on the honor roll and 88 girls on the honor roll. This year, the number of boys on the honor roll increased by 15% and the number of girls on the honor roll increased by 25%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).
Answer:
40%
Step-by-step explanation:
15% + 25% = 40%
PLEASEE HELPPPP MEEE
anyone her watch technoblade
1+1
Answer:
Yes.
Also, 1 + 1 = 2
Also:
Someday, I will beat him. He is revealing all of his secrets in his U-Toob videos, the fool, the moron.
Answer:
yes technoblade never dies
1+1=2
Si 5 trabajadores realizan el 60% del muro en el dia, y los demas trabajan en partes iguales. ¿Que porcentaje del muro construyen los demas trabajadores?
Answer:
40%
Step-by-step explanation:
Aquí, tuvimos que 5 trabajadores habían terminado el 60% del muro.
Entonces, el porcentaje que queda por hacer sería el porcentaje total, el porcentaje realizado por los 5 trabajadores.
Matemáticamente, el porcentaje total será del 100%.
Entonces, el porcentaje total realizado por los trabajadores restantes será 100% - 60% = 40%
3• Wich of these shows y=2x+1 in point slope form ?
Answer:
A
Step-by-step explanation:
y=2x + 1
y=mx +b
What is the solution to 14 < 3x -1?
Answer:
x>5
Step-by-step explanation:
Answer:x>5
Step-by-step explanation: 14 < 3x - 1
Solve for x
First add 1 to both sides then divide by three on both sides
Use the table. Make a scatter plot relating the distance of various cities from the metro area to the population of the cities. SOMEONE HELP ASAP ILL GIVE BRAINLIEST
Answer:
Option (A)
Step-by-step explanation:
From the table attached,
Independent variable 'x' is will be represented by the distance from Metro area.
Similarly, dependent variable 'y' will be on y-axis.
Scatter plot relating the distances of various cities from the metro area (x) to the population of the cities (y) will be represented by the ordered pair as (x, y).
Set of ordered pairs to be plotted,
[(1, 300), (5, 275), (10, 208), (15, 135), (20, 108)]
Therefore, graph given in Option (A) will be the answer.
Find the inverse of each of the given functions.
f(x)=4x-12
Answer:
To find the inverse, interchange the variables and solve for y .
Step-by-step explanation:
f − 1 ( x ) = x /4 + 3
PLEASE HELP QUICK.
help me graph y = 4x + 1
Evaluate the expression for the given value of the variable
3x + 5 when x = 5
Answer:
Step-by-step explanation:
Putting value of x in the equation
3(5) + 5
= 15 + 5
= 20
|3 - h| + 13 = ?????????
Answer:
13
Step-by-step explanation:
Help! Pleaseee!!! Will give the almighty crown
Answer:
Mixed number: [tex]7\frac{6}{10}[/tex]
Improper fraction: [tex]\frac{76}{10}[/tex]
Step-by-step explanation:
[tex]7.6[/tex] can be written in the form [tex]\frac{76}{10}[/tex]. This is an improper fraction since the numerator is greater than the denominator.
The mixed number is [tex]7\frac{6}{10}[/tex] since [tex]10[/tex] goes into [tex]76[/tex] seven whole times with a remainder of [tex]6[/tex].
Hope this helps :)
Rachel got her kite stuck at the top of a tree that is 35 feet tall. If she is standing 55 feet away from the base of the tree, how long is the string?
Answer:
90
Step-by-step explanation:
Just add 35 and 55 it's pretty simple
HELP ASAP WORTH 20 POINTS
MAKE SURE TO USE SURDS
Answer:
5 sqrt(11)
Step-by-step explanation:
sqrt(99) + sqrt(44)
sqrt(9*11) + sqrt(4*11)
sqrt(9)sqrt(11) + sqrt( 4) sqrt(11)
3sqrt(11) + 2 sqrt(11)
5 sqrt(11)
1) Find the equation of the line that is parallel to the line y = 3x - 4 and
passes through the point (-4, 6).*
O y = 3X-8
y=3x + 18
y = (1/3) x + 18
Option 4
y = 3x-18
Answer:
1) Find the equation of the line that is parallel to the line y = 3x - 4 and
passes through the point (-4, 6).*
O y = 3X-8
y=3x + 18
y = (1/3) x + 18
Option 4
y = 3x-18
Directions: Use slope to determine if lines PQ and RS are parallel, perpendicular, or neither. 13. P(-9, -4), (-7, -1), R(-2,5), S(-6, -1) Slope of PQ Slope of RS Types of Lines
Answer:
ParallelStep-by-step explanation:
Given points
P(-9, -4), Q(-7, -1), R(-2,5), S(-6, -1)Finding slopes of PQ and RS using slope formula
m = (y2 - y1)/(x2 - x1)Slope of line PQ
m = (-1 - (-4))/(-7 - (-9)) = 3/2Slope of line RS
m = (-1 - 5)/(-6 - (-2)) = -6 / -4 = 3/2Slopes are same, therefore lines are parallel
What are the two ways to determine if something is a function
Answer:
If a vertical line crosses the relation on the graph only once in all locations, the relation is a function. However, if a vertical line crosses the relation more than once, the relation is not a function. Using the vertical line test, all lines except for vertical lines are functions.
Step-by-step explanation:
Answer:
If a vertical line crosses the relation on the graph only once in all locations, the relation is a function.
However, if a vertical line crosses the relation more than once, the relation is not a function.
Step-by-step explanation:
Using the vertical line test, all lines except for vertical lines are functions.
What is the vertical asymptote of the function?
O x=-10
O x=-2
O x = 0
Ox=2
Answer:d
Step-by-step explanation:
The vertical asymptote of the given function is x = 2
What is asymptotes?An asymptote of a curve is a line such that the distance between the curve and the line approaches zero as one or both of the x or y coordinates tends to infinity.
Given function is y = log(x-2)+10
The vertical asymptote for a function is a vertical line x=k and where the function becomes unbounded.
The given function x-2 =0
x =2
y = log (x-2) +10
put x=2, y = 10
Hence, the vertical asymptote is x =2
Learn more about asymptote click;
https://brainly.com/question/23535769
#SPJ7
The complete question is attached
A town planner wants to build two new streets, Elm Street and Garden Road, to connect parallel streets Maple Drive and Pine Avenue.
Trapezoid E F G H is shown. F G is Maple Drive, G H is Garden road, E H is Pine avenue, and E F is Elm Street. Sides F G and E H are parallel. Angle G is 108 degrees.
In trapezoid EFGH, EF ≅ HG. What is the measure of the angle between Elm Street and Pine Avenue?
54°
72°
108°
144°
Answer:
72
Step-by-step explanation: that’s what the test said
Answer:
72
Step-by-step explanation:
on edge
x³ + y³ + x³ = k
can anybody help solve this
Answer:
The answer is k equals 2x to the third power and Y to the third power
Answer:
X€R
Y€R
Step-by-step explanation:
x³+y³+x³=k
2x³+y³=k
K=2x³+y³
So
X€R
Y€R
Which expression has the same value as 892 ÷ 8
Solve the equation by extracting square roots.
3(x+2)^2=8
Answer:
47
Step-by-step explanation:
Enter the number of complex zeros for the polynomial function in the box.
f(x)=x3−96x2+400
The complex zeros of the polynomials are 20i and -20i
Given the polynomials, the zeros of the polynomial are gotten by equating the function to zero and then factorizing as shown:
f(x)=x^3−96x^2+400
x^3−96x^2+400 = 0
x^2(x-96) + 400 = 0
x^2(x - 96) = -400
x^2 = -400
Get the required complex roots:
x^2 = -400
x = ±√-400
x = ±20i
Hence the complex zeros of the polynomials are 20i and -20i
Learn more on zeros of polynomials here: https://brainly.com/question/4142886
f(x)=−14x+12 for x=3?
Answer:
(x)=-30
Step-by-step explanation:
f(x)=-14·3+12
f(x)=-42+12
f(x)=-30