Hello!
We can graph by finding critical points - intersections, y-intercepts, x-intercepts.
Find the intersection point by setting the two equations equal to each other:
-4x + 3 = x - 2
Subtract x from both sides:
-5x + 3 = - 2
Subtract 3 from both sides:
-5x = -5
Divide both sides by -5:
-5x/(-5) = -5/(-5)
x = 1
Find the y-value of intersection by plugging in x = 1 into an equation:
y = 1 - 2 = -1
Intersection at (1, -1)
Find the x and y intercepts of each equation:
y = -4x + 3
Set x to 0 to find the y-intercept:
y = -4(0) + 3 = 3
Set y to 0 to find the x-intercept:
0 = -4x + 3
-3 = -4x
x = 3/4
Therefore, this equation has a y-intercept at (0, 3) and and x-intercept at (3/4, 0).
y = x - 2
Set x to 0 to find the y-intercept:
y = 0 - 2 = -2
Set y to 0 to find the x-intercept:
0 = x - 2
x = 2
Therefore, this equation has a y-intercept at (0, -2) and and x-intercept at (2, 0).
Graph the two equations with the solved critical points:
y = -4x + 3
--> (1, -1)
--> (0, 3)
--> (3/4, 0)
y = x - 2
--> (1, -1)
--> (0, -2)
--> (2, 0)
**Graphed below**
Which is rational and irroational
Answer:
1. Rational
2. Irrational
3. Irrational
4. Irrational
5. Rational
Step-by-step explanation:
I am not 100% this is correct, but I tried my best
Hope this helps!
~PurpleMist
What is the constant term in the expression?
15a + 10b + 5 – 7b
Answer:
5
Step-by-step explanation:
15a , 10b , and -7b are coefficients.
(2,3)
(3,2)
(3,4)
(3,-2)
Answer:
(3,2)
Step-by-step explanation:
Right now point A is at the coordinates (3,2)
When you reflect the shape at line x = 3, point A is at the same x-axis, in which your supposed to reflect it on.
So when you reflect the shape, point A wont move, it will stay in the same colinear and coplanar plane which is (3,2)
5) Rupesh is mowing grass to save money for a vacation. He charges $12 20 points
per yard. Rupesh already has $40 saved to use on the vacation. Which
inequality can be used to determine how many yards Rupesh needs to
mow in order to have at least $148 to use on vacation? *
a. 40y + 12 < 148
C. 40y + 12 > 148
b. 12y + 40 > 148
d. 12y + 40 < 148
CU
b
Answer:
Step-by-step explanation:
12y + 40 ≥ 148
12y ≥ 108
y ≥ 9
Rupesh must mow at least 9 more yards to have
the $148 he needs.
Find the volume of a cone with a base diameter of 8 m and a height of 12 m.
Write the exact volume in terms of it, and be sure to include the correct unit in your answer.
Answer:
the formula for the volume of a cone is:
1/3hπr²
1/3×12m×π×8m=100.48m³
Sharon bought 6 new folders for $1.15 each and 15 pens that were priced at 5 for $4.75. What is the total amount she spent?
Answer:
$21.15
Step-by-step explanation:
6 x 1.15 = 6.9 (because we're working with money, we'll add a zero at the end for the ones place) = 6.90
15/5 = 3 then 3 x 4.75= 14.25
14.25 + 6.90 = 21.15
Hope this helped <3
Answer:
$21.15
Step-by-step explanation:
Total Folder Amount: $1.15 • 6 = $6.90
Total Pen Amount: $4.75 • 3* = $14.25
*She bought 15 pens. The pens were 5 pens for $4.75. 15÷5=3*
$14.25 + $6.90 = $21.15
PLEASE HELP ME I WILL GIVE BRAINLIST just with number 6
Answer:
ima say 200 but I'm not 110 percent sure
the regular price of a bicycle is $120.the bicycle is on sale for 20% off.which expression is equal to the sale price,in dollars,of the bicycle
Answer:
96$, hope this helps! (^⊆^)
Step-by-step explanation:
120 x .20 = 24
120 -24 =$96
B
C
55
73
А
Find m2C Round the answer to the nearest hundredth.
A. 0.85°
B 41.11°
C. 48.890
D.undefined
Help
Answer:
c
Step-by-step explanation:
Which answer choice shows an inequality that represents the problem below? Marcus needs more than 550 tickets to get the prize he wants at the arcade. He already has 125 tickets and can earn 24 tickets each time he plays an arcade game. How many games will he have to play in order to have enough tickets to win the prize he wants?
24x + 125 > 550
24x + 125 >_ 550
24x + 125 < 550
125x + 24 > 550
Answer: 24x + 125 > 550
Step-by-step explanation:
Find the missing angle.
Answer:
75
Step-by-step explanation:
All the angles would add up to 360
145+55+35+55=285
Then:
360-285=75
>ZUW=75
Ok now that the image works did I do this right?
SOMEONE PLS HELP
the multiplicative inverse of 1/5 and (2x-1/5)
Answer:
You multiply 5 by 1/5 to get 1. So with 2x, you multiply by 1/(2x) to get 1. That's about all you know, since we only know that x is positive.
Step-by-step explanation:
Answer:
inverse 1/5 = (1/5)^-1
=1/(1/5)¹ = 1/(1/5) = 1(5/1) = 5/1 = 5
inverse 2x-1/5 = (2x-1/5)^-1
=1/(2x-1/5)¹ =1/(2x-1/5)
=1/(10x/5 - 1/5) = 1/(10x-1 / 5)
=1(5 / 10x-1) = 5 / 10x-1
Find the value of the expression whenx=1, y=-1,z =0a)5y –y b) 3x² +2y + 3z² c) 2y² -3xyz
Answer:
a) 4
b) 1
c)2
Step-by-step explanation:
a) 5y - y
= 5 - 1
=4
b) 3×1×1 + 2×1 + 3×0×0
= 3 - 2 + 0
1
c) 2×1×1 - 3×1×1×0
= 2 - 0
= 2
Help me answer, please.
The population of a town is 12,000, and it grows at a rate of 5% per year. Write an exponential function in the form [tex]y=ab^{x}[/tex] that represents the situation
Answer: Exponential function: [tex]y=12000(1.05)^x[/tex]
Step-by-step explanation:
Exponential function: [tex]y=ab^x[/tex] , a = initial value , x= time, b= growth factor , b= 1+r , where r=rate of growth.
Given: Initial population = a= 12,000,
rate of growth = r= 5% = 0.05
Then, b= 1+r= 1+ 0.05 = 1.05
Substitute value of a and b in (i), we get
[tex]y=12000(1.05)^x[/tex]
Hence, The required exponential function: [tex]y=12000(1.05)^x[/tex], where x= time.
Solve number 8 (geometry)
Answer:
x = 50
Step-by-step explanation:
the word bisects means that it cuts in half (this is how I understand it, not the official definition :D)
so that means
[tex]\angle XAB =\angle BAY\\\\2x=100\\\\x=50[/tex]
Monty bought a small swimming pool, as shown below, for his Labrador
puppy. He fills the pool halfway to the top. If one cubic foot of water is
approximately 7.5 gallons of water, about how many gallons of water will
be in the pool?
6 ft
2 ft
Answer:
It would be 45 gallons for 6ft
15 gallons for 2 feet
Step-by-step explanation:
QUESTIONS: SOLVE FOR X
please help if you can !
please don't comment just to comment if its not gonna help me i really need help.
the equation of a circle whose center is (-5, 3) and whose radius is 6?
Answer:
Center:(-5,3)
The center of a circle is a point from which all points on a circle are the same distance.
Radius:6
The radius of a circle is the length of a line segment from its center to its perimeter.
The radius is typically denoted as "r" or "R".
Diameter:12
The diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. It can also be defined as the longest chord of the circle.
Circumference or (or Permieter) = 2*π*R = 2*3.14*6 = 37.6991118430775
The circumference of a circle is the distance around it.
Area:113.097335529233
Area of a Circle is the amount of space occupied by the circle.The area of a circle is p times the radius squared, which is written: A = π*R2.
Need some help don’t understand it
Answer:
find the value
Step-by-step explanation:
duhhhhhhhhh
Answer:
Step-by-step explanation:
6x+8+4x+2=180
the sum of interior angles =180
10x+10=180
10x=180-10
10x=170
x=17
Aliyah $24 to spend on seven pencils. After buying them she had $10.how much did each Pencil cost?
Answer:
2 dollars
Step-by-step explanation:
24-10=14
7 pencils cost 14 dollars
1 pencil costs 2 dollars
please give me brainliest!!
Find the slope and y-intercpet. (Hint: Rewrite the equation in slope-intercept form first.)
16x - 4y - 12
m
b
Blank 1
Blank 2:
Answer
y=4x-3
m=4 or 4/1
b=-3
It costs $237.00 to buy beef to make 290 meatballs. What will the cost be to make 120 meatballs?
Answer:
$98.07
Step-by-step explanation:
Divide 237 by 290 to get the unit price of each meatball
237 / 290 = 0.8172413793
Multiply 0.8172413793 by 120 to get the total cost to make the meatballs
0.8172413793 * 120 = 98.068965516
Round that number to the nearest hundredth
Answer: $98.07
EMERGENCY HELP PLEASE
Answer:
11x+21
Step-by-step explanation:
blue square= x squared
green square=3x
pink square=7x
orange square=21
=
11x+21
Identify the slope and y- intercept y=2x + 2
Answer:
Slope:2
Y-int:2
Step-by-step explanation:
y=m(slope)x+b(y-int)
Answer:
Slope is 2, Y-intercept is 2
Step-by-step explanation:
Point-slope form is y=mx+b
m=slope
b=y-intercept
Hope this helped.
Estimate the values of x when y=1
Step-by-step explanation:
if one were to put the y value the equation they could find out what x is for a certain value of y
putting the value of y(1), we get the equation
1=4x-1
2=4x
x=0.5
the value of x when y is 1 is =0.5
NOTE: I got this explanation on brainy on someone else I am not taking the credit
a) The graph of y = 4x - 1 is shown in attached image.
b) By using the graph at y = 1 the value of x is 1/2.
What is Linear expression?A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Given that;
The function is,
y = 4x - 1
Now, The graph of function y = 4x - 1.
And, At y = 1;
By the graph the value of x = 1/2.
And, In mathematically;
At y = 1
The value of x is;
y = 4x - 1
1 = 4x - 1
4x = 2
x = 2/4
x = 1/2
Thus,
a) The graph of y = 4x - 1 is shown in attached image.
b) By using the graph at y = 1 the value of x is 1/2.
Learn more about the linear expression visit:
brainly.com/question/28123248
#SPJ2
Which is the graph of
y= 1/2x
See picture
PLEASE ONLY COMMENT IF YOU ARE SURE OF THE ANSWER!!!
Answer:
Option 1
Step-by-step explanation:
Let's look at the slope; 1/2
it's positive, so the line will go from Quadrant III to Quadrant I. That means that Option 3 is out since it goes from Quadrant IV to Quadrant II.
Next; let's look at the steepness of the lines. Slopes that are fractions less than 1 are flatter than slopes that are greater than 1. Since the slope on Option 1 is flatter than Option 2, that means that Option 1 is a number less than 1, while Option 2 is a number greater than 1.
You can stop here, but we can also triple check using the rise/run.
Start from a point, for example (0,0) on Option 1. To get to the next point that's two whole numbers (1,2) we need to go 2 to the right and one up. Since we rose 1, and ran 2, the slope would be 1/2.
If we do the same with Option 2, we'll find that it rises 3 and runs 2. The slope for this line is 3/2.
Hope this helps!
The writers for a TV show have determined that they need to add a new character. One demographic wants the new character to be a man, or someone who can do martial arts. Another demographic wants the new character to be a woman, or someone who is a medical doctor. The writers want to please both demographics. Therefore, the new character will be someone who can do martial arts or is a medical doctor.
Which rule of inference was used here?
A. Conjunction
B. Resolution
C. Modus Ponens
D. Disjunctive Syllogism
E. Hypothetical Syllogism
F. Addition
G. Modus Tollens
H. Simplification
Answer: Resolution
Step-by-step explanation:
The rule of inference that was used here is Resolution. We should note that the resolution principle is used to know whether an argument is valid or not and hence make conclusion.
Resolution typically complements the sentences given such that the new clause has every information given and satisfies everyone.
We can see that from the question, one demographic wants the new character to be a man, or someone who can do martial arts while the other demographic wants a woman,or a medical doctor. Eventually, the writers want to please both demographics and said that the new character will be a martial artsmist or a medical doctor.
solve [(x+7) x 3-5] / 4 = 7
What is the first step in this equation
Answer:
The first step is to slove the numbers in the brackets
Step-by-step explanation:
[(x+7) x -2] / 4 = 7
-2(x+7) / 4 = 7
-2x-14 / 4 = 7
-2x-14 = 28
-2x = 42
x = -21
PEMDAS