Answer:
Write the equation of the line in slope-intercept with a slope of 1 and passing through the (0,-1)
y = x - 1
Write the equation of the line in slope-intercept with a slope of 4 passing through the (-2,1)
y = 4x + 9
Step-by-step explanation:
Write the equation of the line in slope-intercept with a slope of 1 and passing through the (0,-1)
y = mx + b
if slope is 1, m= 1
y = x + b
if passing through (0,-1), then y = -1, x = 0
-1 = (0) + b
b = -1
then
y = x - 1
Write the equation of the line in slope-intercept with a slope of 4 passing through the (-2,1)
y = mx + b
if slope is 4, m= 4
y = 4x + b
if passing through (0,-1), then y = 1, x = -2
1 = 4(-2) + b
b = 9
then
y = 4x + 9
Which binomial is a factor of 100x2 – 49?
a
O 10x + 7
O 25% - 7
O 25x + 49
O 203 – 49
-
Answer:
Step-by-step explanation:
What you have here is called "the difference of two squares"
Difference means subtraction and both 100x2 and 49 are perfect squares.
The factored form of 100x2-49 is
(10x+7)(10x-7)
Because 10x times 10x is 100x2 and 7 times 7 is 49
One factor has a + and
One factor has a -
It is a pattern worth memorizing!
So 10x + 7 is the factor you're looking for.
Each unit in the coordinate plane corresponds to 1 mile. Find the distance from the stadium to Pine Avenue. Round your answer to the nearest tenth.
The distance is about
miles.
The distance from the stadium to Pine Avenue is [tex]13.4miles[/tex], (to the nearest tenth)
The stadium is on Hazel Street(the green line). Pine Avenue is the blue line. The distance from the stadium to Pine Avenue will be the distance on the graph (in miles) from the point representing the stadium, to the point of intersection between Hazel Street and Pine Avenue.
We know the location of the stadium, [tex]S=(-6,6)[/tex]
The point of intersection can be obtained by solving the simultaneous equations
[tex]y=-\dfrac{1}{2}x+3\\y=2x-12[/tex]
since both equations are set equal to [tex]y[/tex], set them equal to each other, to eliminate [tex]y[/tex], and solve for [tex]x[/tex]
[tex]-\dfrac{1}{2}x+3=2x-12\\\\x=6[/tex]
Substitute this value of [tex]x[/tex], into the equation for Pine avenue
[tex]y-2x-12\\=2(6)-12\\=0[/tex]
The point of intersection between Hazel Street and Pine Avenue is [tex]I=(x,y)=(6,0)[/tex]
To compute the distance between the stadium and Pine Avenue, we find the distance between the two points [tex]S[/tex] and [tex]I[/tex]. So,
[tex]d=\sqrt{(6-(-6))^2+(0-6)^2}\\\\=\sqrt{12^2+(-6)^2}\\\\=6\sqrt5\approx13.4\text{ (to the nearest tenth)}[/tex]
The distance is [tex]13.4miles[/tex]
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Which of the following could NOT
be represented by |-121?
A. A balloon rises 12 feet in the air.
B. The stock market gains $12 in a
day.
C. A town lies 12 feet below sea
level.
D. Adam received a gift for
Answer:
C
Step-by-step explanation:
|-12|= 12
this means that it represents a positive number. Each answer represents a positive number other than the town that lies -12 feet below sea level. (sorry if I'm wrong)
Which is the graph of 2x + 3y > -3
Graph: C
i need help on this- It says on the top Which Division equation IS represented by the drawing below-°
Answer:
D im pretty sure
Step-by-step explanation:
If each line is 20 x 3 = 60 12 dots 60 + 12 = 72 divided by 3 circles = 24
Rewrite the equation in slope -intercept form then graph the linear equation x+4y=8
Answer:
Step-by-step explanation:
x + 4y = 8
-x -x
4y = -x + 8
divide by 4
y= -1/4x + 2
then graph
Please help question in pic
Answer:
O = (1,-1)
N = (1,-2)
M = (3,-2)
L = (3,-1)
Step-by-step explanation:
Is the system of equations consistent and independent, consistent and dependent, or inconsistent? y=4xâ’4y=â’4x 4 Select the correct answer from the drop-down menu.
The system of equations is consistent and dependent and it can be determined by using the properties of the equation.
Given that,
System of the equation,[tex]\rm y=4x-4\\y=-4x+4[/tex]
We have to determine,
The system of equations is consistent and independent, consistent and dependent, or inconsistent.
According to the question,
When a system has at least one solution, it's called consistent. When it has only one solution, it's called independent.
System of the equation,[tex]\rm y=4x-4\\y=-4x+4[/tex]
On adding both the equation,
[tex]\rm y+ y=4x-4+(-4x+4)\\\\2y = 4x-4-4x+4\\\\2y = 0\\\\ y = 0[/tex]
Substitute y = 0 to evaluate the value of x.
[tex]\rm y = 4x-4\\\\(0)= 4x-4\\\\ 4x=4\\\\ x = \dfrac{4}{4}\\\\x = -1[/tex]
The solution of the equation is (1, 0).
Hence, The system of equations is consistent and dependent.
To know more about the System of equations click the link given below.
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What is the equation of the line that has a slope of 1/5 and a y-intercept of -1
A y = 1/5x — 23/5
B y = 1/5x — 1
C y = 1/5x + 1
D y = 1/5x + 23/5
Answer:
C y = 1/5x - 1
Step-by-step explanation:
Slope intercept form: y = mx + b where m = slope and b = y-intercept.
Substitute into the slope intercept form m= 1/5 and b = -1
y = 1/5x - 1
The ordered pairs (−4,−3)
, (−2,−2), (4,1), (6,2), and (8,3) represent a function. What is a rule that represents this function?
Write an inequality for the following statement:
The difference between twice a number and 6 is at least 35.
6−2n≥35
2n−6≥35
2n−6≤35
6−2n<35
The formula below represents the standard form of a quadratic equation.
ax2+bx+c=0
Solve for b.
b=−ax2−cx
x=−ax2−c
x=−ax2−cb
b=x−ax2−c
The tables below each follow a different pattern
Which table follows the input-output rule: “Each output is one less than double the input”
table 2
table 4
table 1
table 3
Which inequality accurately represents the graph shown below?
Jordan has a part-time job which pays $75 a week. He has already saved $55 toward the purchase of a $400 iPhone. Write an inequality you could use to find the minimum number of weeks Jordan must work to have enough money to buy the iPhone.
55w+75≥400
75w+55≤400
55w+75≤400
75w+55≥400
The equations and inequality expresses the relationship between the variables.
The correct responses are;
First part; The rule that represent the function is; y = 0.5·x - 1Second part; the correct option is the inequality; 2·n - 6 ≥ 35Third part; [tex]\displaystyle \underline{b = \frac{- a\cdot x^2 - c}{x}}[/tex]Fourth part; Table 4Fifth part; [tex]\displaystyle \underline{y < -\frac{1}{2} \cdot x - 4}[/tex]Sixth part; 75·w + 55 ≤ 400Reasons:
First part;
The difference between y-values following a change in 2 units of the x-value is a constant, and is equal to 1;
The rate of change of the function, m, is therefore;
[tex]\displaystyle m = \frac{2 - 1}{6 - 4} = \frac{1}{2} = 0.5[/tex]
The slope and intercept form of the equation of the function is therefore;
y - 3 = 0.5·(x - 8) = 0.5·x - 4
y = 0.5·x - 4 + 3 = 0.5·x - 1
The rule that represent the function is; y = 0.5·x - 1
Second part;
2·n represent twice the number
The difference between twice the number and 6 = 2·n - 6
At least 35 = ≥ 35
Therefore, the inequality is; 2·n - 6 ≥ 35
Third part;
The given quadratic equation is; a·x² + b·x + c = 0
Therefore;
[tex]\displaystyle \underline{b = \frac{-c - a\cdot x^2}{x}}[/tex]
Fourth part;
The best correct option is table 4, given that the table is as follows;
[tex]\begin{tabular}{|c|cc|}In&&Out\\Not clear&&\\9&&17\\10&&19\end{array}\right][/tex]
Fifth part;
The y-intercept of the graph is -0.5
The slope is -4 ÷ 8 = -0.5
Therefore, the equation is; y = -0.5·x - 4
The shaded area is the area lower than the y-values, with broken lines (indicating < relationship) which gives, the correct inequality as follows;
[tex]\displaystyle \underline{y < -\frac{1}{2} \cdot x - 4}[/tex]
Sixth part;
The amount Jordan part-time job pays = $75
The amount he has already saved = $55
The cost of the iPhone = $400
Let w represent the number of weeks Jordan works, at his part-time job to purchase the iPhone, we have;
75·w + 55 ≤ 400
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A class has 6 boys and 14 girls. What is the ratio in simplest form that compares number of boys to total number of students?
A. 6:14
B. 6:20
C. 3:7
D. 3:10
hi i need some help on this one thanks.
Answer:
y = 3x + 18
Here's how I got that:
- You first assign the points -
(-9, -9) → x1 = -9, y1 = -9
(-6, 0) → x2 = -6, y2 = 0
- Now you plug those points into slope formula and solve-
[tex]s=\frac{y2-y1}{x2-x1}[/tex]
↓
(0 - (-9))/((-6) - (-9))
↓
9/3
↓
slope = 3
- Now we plug the numbers we got into intercept formula -
b = y1 − s ⋅ x1
↓
-9 - (3) · (-9)
↓
y-intercept = 18
- Put everything together and you get.. -
y = 3x + 18
~That's all folks~
-Siascon
Answer:
y = 3x + 18
Step-by-step explanation:
Toya has a car loan of $8500. Over the course of the loan, she paid a total of $5526 in interest at a rate of 13%. How many months was the car loan?
Answer:
42 months
Step-by-step explanation:
Decide whether each set of side lengths could form a valid triangle: (6,8,9), (3,8,5), (4,9,14).
The quotient of 45% -31. - 15) and a polynomial is (-3). What is the pokyrıcaiak
A
Ox5% -6% -30% * 944 45
0-5
O % 45
O % * 5% 46% - 30% * 944 45
Answer:
A
Step-by-step explanation:
Please help peeps
Thanks
Answer:
B) 6
Step-by-step explanation:
If this is similar triangles:
x:42=6:42
Well you could also just
bigger triangle is isosceles
so x=6
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answer:
Step-by-step explanation:
y = 4/3x
you can see the line passes through (0,0)
the next point it passes through is (3,4)
(y2-y1)/(x2-x1)
(4 - 0)/(3 - 0)
4 / 3
the slope = 4/3
meaning it goes up 4 and right 3 from point to point
Apply the distributive property to create an equivalent expression.
-9x(5j+k)
PLEASE HELP THANK YOUU!!
Answer:
-45xj-9xk
Step-by-step explanation:
-9x(5j+k)
Multiply -9x with 5j
Multiply -9x with k
-9x times 5j is -45xj
-9x times k is -9xk
So the equivalent expression is
-45xj-9xk
Hope this helps!
what is the meaning of the word treacherous mean in the sentence below
QUICK plzzzz
i-ready lvl F
Answer: Guilty of or involving betrayal or deception.
Step-by-step explanation:
If Kenny attempted 36 serves yesterday, how many serves did he make over the net?
What is the linear function equation represented by the graph?
Answer:
y=1/3x-4
Step-by-step explanation:
The point where the line intercepts the y-axis is the y-intercept and where the digit -4 comes from
1/3 comes from how many times the line rises (1) and run (3)
Hope this helps!
Find the slope-intercept form of the line that satisfies the given conditions.
Through A(−7, 5) and B(6, 11)
Answer:
[tex]y=\frac{6}{13}x+\frac{107}{13}[/tex]
Step-by-step explanation:
(x1, y1) = (-7, 5)
(x2, y2) = (6, 11)
The firs thing to do is fine the slope. That is the distance between the y-coordinates divided by the distance between the x-coordinates:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
I marked the points above as points 1 and 2, so you can plug those numbers into the formula:
[tex]m=\frac{11-5}{6--7}\\\\m=\frac{6}{13}[/tex]
That fraction can't be simplified any further, so the slope of this line is 6/13. The next thing to do is to find the y-intercept.
[tex]y=mx+b[/tex]
Plug the slope and any point of your choice into the equation. I'll use point b:
[tex]11=(\frac{6}{13})6+b[/tex]
Now, solve for b:
[tex]11=\frac{36}{13}+b\\\\11-\frac{36}{13}=b\\\\\frac{143}{13}-\frac{36}{13}=b\\\\\frac{107}{13}=b\\\\b=\frac{107}{13}[/tex]
They're far from clean, but those are the correct slope and y-intercept. Using those, the equation for this line is:
[tex]y=\frac{6}{13}x+\frac{107}{13}[/tex]
You can confirm that this is the correct equation by checking it with one of the points. Plug in one of the known values of x and make sure it gives the correct value of y:
[tex]y=\frac{6}{13}(-7)+\frac{107}{13}\\\\y=\frac{-42}{13}+\frac{107}{13}\\\\y=\frac{65}{13}\\\\y=5[/tex]
That works out.
If 5/3 liters of water is enough to water ⅕ of your yard, 5 3 how much water is needed to water the entire yard?
Answer:
8 1/3 liters
Step-by-step explanation:
create a proportion from water : yard
let 'y' = water for entire yard
5/3 ÷ 1/5 = y ÷ 5/5
5/3 · 5/1 = y/1
25/3 = y/1
3y = 25
y = 8 1/3
(02.02 LC)
If g(x) = x2 + 2, find g(3).
O9
O8
O 11
O6
Answer:
8
Step-by-step explanation:
g(x) = 2x + 2
g(3) = 2*3 + 2 Substitute 3 for x.
g(3) = 6 + 2 Multiply.
g(3) = 8 Add.
Answer:
g(3) = 11
Step-by-step explanation:
Substitute x = 3 into g(x) , that is
g(3) = 3² + 2 = 9 + 2 = 11
Claire correctly solved the proportion StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction for x by using cross products to get the equation 16 x = 144 and then dividing both sides by 16 to get x = 9. She showed that she can use cross products to solve the proportion because she gets the same answer if the solves it as shown.
StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction. StartFraction x over 4 EndFraction times 4 = StartFraction 36 over 16 EndFraction times 4. x = StartFraction 144 over 16 EndFraction. X = 9.
What property allowed her to go from StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction to StartFraction x over 4 EndFraction times 4 = StartFraction 36 over 16 EndFraction times 4?
addition property of equality
subtraction property of equality
multiplication property of equality
division property of equality
Answer:
(c) multiplication property of equality
Step-by-step explanation:
Both sides of the equation can be multiplied by the same number without changing the values of any variables. This is the multiplication property of equality.
The m<1 is 18 more than twice m<2. Find m<3.
See picture for full problem. Please and thank you!
====================================================
Explanation
x = measure of angle 1
y = measure of angle 2
x = 2y+18, since angle 1 is 18 more than twice that of angle 2
Assuming this is a parallelogram, the adjacent angles are supplementary. So,
x+y = 180
2y+18+y = 180
3y+18 = 180
3y = 180-18
3y = 162
y = 162/3
y = 54
This leads to,
x = 2y+18
x = 2*54+18
x = 108+18
x = 126
Note that x+y = 126+54 = 180
Another useful fact about parallelograms is that the opposite angles are the same measure. So angle 1 = angle 3 = 126 degrees
The measure of angle 3, if The measure of ∠1 is 18 more than twice the measure of ∠2 is 126°
What is polygon?
In geometry, a polygon is any closed curve made up of a collection of continuous line segments (sides) without any intersections. Triangles (three sides), quadrilaterals (four sides), and pentagons are the three simplest polygons (five sides).
Given:
The measure of angle 1 = 2 × The measure of the angle 2 + 18
Write an equation for the above statement,
x = 2y + 18
Here, x is a measure of angle 1 and y is the measure of angle 2,
As you can see from the figure it is a parallelogram then,
x + y = 180 (The sum of supplementary angle)
Solve the equation by elimination method,
y = 54, x = 2 × 54 + 18 = 126
The opposite angle of a parallelogram are equal,
Measure of angle 3 = Measure of angle 1 = 126
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Someone Plz help me
Using the tables to answer the question, the correct option is D.
Only table B represents a function
A relation/table will represent a function if each value of x is attached to a unique value of y.
That is, no value of x must be mapped to more than one value of y.
By considering the tables represented
Set A = {(-5, 2), (-8, 5), (-5, 8)}
As clearly shown above, when x = -5, y = 2 and 8. This means that there are more than 1 value of y for a single value of x, therefore, table A does not represent a function.
Set B = {(-5, 2), (-8, 5), (-11, 2)}
As shown above, all values of x have different values of y. Therefore, table B represents a function.
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what is 0.75 greater than 9
Answer: 9.75
Step-by-step explanation: i just added
Answer:
less
Step-by-step explanation:
Mark has some candy bars that he wants to give away. He is going to give each person 28 of a bar, and he has 4 bars to give away. Determine the number of people who will get a piece of the candy bar.
helppppppp!!!!! 22 points!!!
Answer:
7 people
Step-by-step explanation:
can y’all please help me out
Step-by-step explanation:
x⁴ + 4x³ - 5x² + x - 3 ÷ x² + x - 3 = x² + 3x - 5
- x⁴ + x³ - 3x²
-------------------------
0 3x³ - 2x² + x - 3
- 3x³ + 3x² - 9x
-------------------------------
0 - 5x² + 10x - 3
- - 5x² - 5x + 15
-------------------------------------
0 15x - 18
the result is therefore
x² + 3x - 5 + (15x - 18)/(x² + x - 3)