This table gives a few (x, y) pairs of a line in the coordinate plane. What is the x-intercept of the line?
Answer:
x=-14
Step-by-step explanation:
The x-intercept of a line is the value of x that makes y=0.
A line can be expressed in its slope-intercept form:
y=mx+b
Once determined the equation of the line, the x-intercept can be calculated by setting y=0 and solving for x.
Let's find the slope of the line.
Suppose we know the line passes through two points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let's pick the first two points of the table (-94,24) (-74,18). The slope is:
[tex]\displaystyle m=\frac{18-24}{-74+94}=\frac{-6}{20}=-\frac{3}{10}[/tex]
The equation of the line is:
[tex]\displaystyle y=-\frac{3}{10}x+b[/tex]
Now use one of the points to find b, for example (-94,24):
[tex]\displaystyle 24=-\frac{3}{10}\cdot (-94)+b[/tex]
Operating:
[tex]\displaystyle 24=\frac{141}{5}+b[/tex]
Solving:
[tex]b=24-\frac{141}{5}=-\frac{21}{5}[/tex]
The complete equation of the line is:
[tex]\displaystyle y=-\frac{3}{10}x-\frac{21}{5}[/tex]
To find the x-incercept, set y=0 and solve:
[tex]\displaystyle 0=-\frac{3}{10}x-\frac{21}{5}[/tex]
[tex]\displaystyle x=\frac{\frac{21}{5}}{-\frac{3}{10}}=-\frac{21}{5}\cdot \frac{10}{3}[/tex]
x=-14
How to estimate 5x179
Answer:
895
Step-by-step explanation:
if u need to estimate, multiple 5 by 180, and then subtract 5
find the value of x in the figure shown.
(Hint: the sum of angle measures in any triangle is 180
2x-10
(4x-80)
4x-10
Answer:
28
Step-by-step explanation:
2x +4x +4x-10 -80-10
10x-100=180
10x=180+100
10x=280
10x/10=280/10
x=28
I think #1 is wrong but i can't figure it out
Answer:
the mistake is x and y x is 6 and y is 4 so it would be 5x6 and 4^2 divide by 2
Step-by-step explanation:
the right one is 5x-y^2 divide 2
5x6-4^2 divide 2
5x6-16 divide 2
30-8
22
Solve the equation because I really need help
Answer:
No Solution
Step-by-step explanation:
P.E.M.D.A.S
4(x+5) = 21 + 4x
4x+20 = 21+4x
we would subtract 4 on both sides to isolate 4 by it self.
subtract 4x on both sides but when we do we get 0 for x
4x-4x + 40 = 21 + 4x-4x
we get 40 = 21
So our answer is no Solution or unless your just tryning to find out that the total is with out x 40 = 21
high hopes ^^
Barry
Year 6 maths question
what is the reciprocal of 5 3/7
Answer: 7/38
Step-by-step explanation:
So first you have to take the mixed number out of it mixed number form by multiplying 7 x 5 and then adding 3 giving you 38/7(you keep the denominator the same. Then you flip the fraction giving you 7/38.:)
Hope this helps!
using the definition of multiplication to explain why a box that is 5 inches high 4 inches wide and 3 inches long has a volume of 5• (3•4) cubic inches explain the parentheses in the expression 5•(3•4)
Given:
Height of box = 5 inches
Breadth (width) of box = 4 inches
Length of box = 3 inches
Volume of box = 5 • (3 • 4) cubic inches
To find:
The explanation for the parentheses in the expression 5•(3•4)
Solution:
We know that,
Volume of a box is
[tex]Volume = length \times breadth \times height[/tex]
Area of a rectangle is
[tex]Area = length \times width[/tex]
Now,
Volume of box = 5 • (3 • 4) cubic inches
In this expression, (3 • 4) represents the product of length and with of the box. So, it means represents area of the base of box and after multiplying the base area with height we get the volume of the box.
Therefore, the parentheses in the expression 5•(3•4) represents the base area of the box.
Factorise 4x^2+28x^3
What is the y-intercept of the graph of the linear function?
Answer:
-6
Step-by-step explanation:
look at the y-axis (the vertical center line) where it passes through it is the intercept
PLEASE HELP MEE!!!
If the total distance of Claire and Grace’s javelin throw is greater than 82.5 feet, then the seventh graders earn 50 points. If not, the eighth graders earn 50 points. Which grade should be awarded 50 points?
Answer:
eighth graders
Step-by-step explanation:
Answer:eighth
Step-by-step explanation:
Solve the equation using a graphical method.
t/3-1/2=t+3/9
Answer:
-1.25
Step-by-step explanation:
t÷3-1÷2 = t÷1+3÷9
2t-3÷6 = 9t+3=9
18t - 27 = 54 + 18
18t -54t = 18 + 27
-36t = 45
Divide through by -36
t = -1.25
Fabio is driving west away from Albany and towards Buffalo along Interstate 90 at a constant rate of speed
of 62 miles per hour. After driving for 1.5 hours, Fabio is 221 miles from Albany.
Answer:
a) ( D - 128 ) = m ( 1,5 - 0)
b) D = 62*h + 128
Step-by-step explanation:
Fabio drives at a constant speed of 62 miles per hour therefore:
62 * 1,5 = 93 miles
But he is 221 miles away from Albany, then he started
221 - 93 = 128 miles from Albany
In a coordinates system D (distance in the y-axis ), and h ( hours in x-axis), we have two points
h₁ = 0 (h) D (y intercept) = 128 miles and h = 1,5 (h) D = 221 miles
P₁ ( 0 , 128 ) P₂ ( 1,5 , 221 )
Then the equation for straight-line passing through two points is:
m = ( D - D₁ ) / ( h - h₁ )
( D - D₁ ) = m ( h - h₁ )
a) ( D - 128 ) = m ( 1,5 - 0)
And
b) m = 93/ 1,5
m = 62
And
b) D = mh + b
D = mh + D₁
D = 62*h + 128
a)
The equation is:
[tex]D - 221 = 62(h - 1.5)[/tex]
b) Initially, he was 128 miles away from Albany.
Item a:
Fabio is traveling from Albany to Buffalo, and his distance D from Albany after h hours is modeled by a linear function in the following format:
[tex]D - D_1 = m(h - h_1)[/tex]
We have that:
Velocity of 62 miles per hour, thus the slope is [tex]m = 62[/tex].After 1.5 hours, he is 221 miles away from Albany, thus the point is [tex]h_1 = 1.5, D_1 = 221[/tex].The equation is:
[tex]D - D_1 = m(h - h_1)[/tex]
[tex]D - 221 = 62(h - 1.5)[/tex]
Item b:
The initial distance is D when h = 0, so:[tex]D - 221 = 62(0 - 1.5)[/tex]
[tex]D = -1.5(62) + 221[/tex]
[tex]D = 128[/tex]
Initially, he was 128 miles away from Albany.
A similar problem is given at https://brainly.com/question/16302622
What is the standard form of the number shown in this calculator display?
The calculator shows five point nine three e negative five
Answer:
The standard form of the number shown in the calculator display as 1.46e-6 = 1.46 X 10^-6 = 0.00000146.
Step-by-step explanation:
hope this helped ✨
The distance between 4 and 17 is
ZA and B are complementary angles. If mA = (6x + 22)° and m
ZB = (7x + 16)°, then find the measure of ZB.
At which value in the domain does f(x) = 0?
X=-3
X=0
X=1
X=4
What is the product of 9,028 x 100,000 written in expanded form
Answer:
902,800,000
Step-by-step explanation:
902800000, is the product of 9,028 x 100,000.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
Here, given that,
9,028 x 100,000
=902800000
Hence, 902800000, is the product of 9,028 x 100,000.
To learn more on multiplication click:
brainly.com/question/5992872
#SPJ2
when three or more numbers are multipiled the product is the same regardless of the order of the multiplicands
Answer:
Associative property of multiplication.
Step-by-step explanation:
What is the value of the expression 1/3^−5 ?
Answer:
243
Step-by-step explanation:
hope its right
Put is in order least to greatest. -13/6, -2.1, -26/13, -9/4
Answer:
-9/4, -13/6,-2.1,-26/13
Answer:
-26/13, -13/6, -2.1, -9/4
Step-by-step explanation:
Sorry its from greatest to least
how much babysitting will i have to do if i make 5.50 an hour and the dress i want is 52.25 math Using double number line
Answer:
9,5 hrs
Step-by-step explanation:
What is 73+84=. On Saxon math
Answer:
157
Step-by-step explanation:
You just have to take 73+84, and here is the equation.
73+84=157
OR
First, add the numbers in the ones place.
3+4=7
Now you know that the ones place is 7, we find the tens place.
7+8=15
Since only a 1-digit number can fill up a place, we bring the one over to the hundreds place.
Hence, the answer 157.
Hannah says that 2.11 is a rational number. Gus says that 2.11 is a repeating decimal.
Who is correct and why? Use the drop-down menus to explain your answer.
Choose
is correct because 2 11 is a Choose... ya
decimal that can be expressed as a
Choose...
Answer:
Hannah: 2.11 is a terminating decimal that can be written as 2 11/100. Rational numbers can be expressed as fractions.Step-by-step explanation:
The answer choices are:
Gus: 2.11 repeats because there are two 1s.Gus: 2.11 is a repeating decimal because it stops.Hannah: 2.11 is a rational number because it's a decimal.Hannah: 2.11 is a terminating decimal that can be written as 2 11/100. Rational numbers can be expressed as fractions.The correct one is:
Hannah: 2.11 is a terminating decimal that can be written as 2 11/100. Rational numbers can be expressed as fractions.Find the slope of a pipe that slopes down 1/3 inch per foot
Answer:
-1/36
Step-by-step explanation:
The slope is of [tex]\mathbf{-\frac{1}{3}}[/tex]
----------------------
We use a linear function to understand this question, which has equation given by:
[tex]y = mx + b[/tex]
The slope is m, which is the rate of change, that is, how much y changes when x changes by 1.In this problem, for each foot, the pipe slopes down [tex]\frac{1}{3}[/tex] of an inch. Thus, the slope is [tex]m = -\frac{1}{3}[/tex]A similar problem is given at https://brainly.com/question/18594541
Can someone help me please
Answer:
The ratio is 6
Consider the table representing an exponential function.
The equation for this function is
f(x) =
Answer:
Its 8, and 0.5
Step-by-step explanation:
It is possible to approximate the outside temperature based on how fast crickets are chirping. Suppose on a 50 degree day, you measure 52 chirps in a minute, and on a 74 degree day, you measure 148 chirps in a minute.
1
The weight of water is 62-
2
lb per cubic foot. Water that weighs 275 lb will fill how many cubic fe
Water that weighs 275 lb will fill cubic feet.
Answer:
it will fill alot :)
Step-by-step explanation:
#(28282!#+#82(!29192)2!2(2(:)))))))
PLS HELP ME 25 POINTS
The roots of the equation x^2+bx+c=0 are −4 and 2. Find b.