Answer:
Where does the graph of the line y = x - 2 intersect the x-axis?
O A. (0, 2)
O B. (2,0)
O C. (0, -2)
0 D. (-2, 0)
C. ( 0 , -2 )
Step-by-step explanation:
I hope this helps
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The line of y=x-2 intersects the x axis at (2,0).
To find the points where line intersect the x-axis.
What is co-ordinate geometry?Coordinate geometry is defined as the study of geometry using the coordinate points. Coordinate geometry is required to provide a link between algebra and geometry through the use of line and curve graphs.
The x-axis is defined as being at y=0 (look at a graph, the x-axis intersects the y-axis at y=0). Therefore, all you need to do is put in 0 for y, and solve for x.
y=x-2
put in 0 for y
0=x-2
add 2 to both sides
2+0=x-2 +2
x=2
Therefore the line of y=x-2 intersects the x axis at (2,0).
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Please help! ASAP!!! C:
Answer:
Equation: 5.88/3=p-0.75
The original price for apples was $1.21
Step-by-step explanation:
Equation explanation:
$5.88 divided by 3 pounds of apples = the original price per pound - the $0.75 increase in price
$5.88 for 3 pounds of apples
we divide 5.88 by 3 to see how much money it was per pound
5.88/3=1.96
subtract 1.96 from the price increase of .75
1.96-.75=1.21
Od=125
d) f = 120
11. Melissa is buying a sweater. The original cost of the sweater
is $18.00. The sweater is 15% off, and sales tax is 8%. How
much will the sweater cost?
a) $14.08
O b) $12.24
O c) $16.52
O d) $15.30
Answer:
Hey there!
The sweater is selling for 85% of the original price
0.85(18)=15.30
1.08(15.30)=16.52
Let me know if this helps :)
The solution is Option C.
The total cost of the sweater is $ 16.52
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the original cost of the sweater be = $ 18
Let the sales tax percentage be = 8 %
Let the discount of the sweater be = 15 %
So , the equation for the total cost of the sweater is
The cost of the sweater after discount of 15 % is = original cost of the sweater - discount of the sweater x original cost
The cost of the sweater after discount of 15 % is = 18 - ( 15/100 ) x 18
= 18 - 0.15 x 18
= 18 - 2.7
= $ 15.3
Now , the cost of the sweater after sales tax of 8 % is = cost of the sweater after discount + sales tax percentage x cost of the sweater after discount
So , the equation is
The cost of the sweater after sales tax of 8 % is = 15.3 + ( 8/100 ) x 15.3
= 15.3 + 0.08 x 15.3
= 15.3 + 1.224
= $ 16.524
Hence , the total cost of the sweater is $ 16.52
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A church spire casts a shadow on the level ground. At the tip of the shadow, the tip of the spire lies 25° upward. Walking 100 m closer, the tip of the spire is at an angle of 55°. What must be the height of the spire in Figure 2?
Answer:
The height of the spire must be 69.24 m
Step-by-step explanation:
The information given are;
The initial angle of elevation of the tip of the spire from the tip of the shadow = 25°
The angle of elevation of the tip of the spire from the tip of the shadow after moving 100 m closer = 55°
The change distance moved closer to the church spire = 100 m
Let the base angles of the triangle formed by the two rays of the tip of the spire to the tip of the shadow be 25° and ∠x°
We have;
∠x° and the 55° angle of the ray from the tip of the spire to the tip of the shadow are supplementary angles (angle on a straight line)
Therefore;
∠x° = 180° - 55° = 125°
The calculated angle 125° above, the given 25° and the angle in between the two rays from the tip of the spire to the tip of the shadows are the interior angles of the triangle formed by the two rays of the tip of the spire to the tip of the shadow
Let the angle in between the two rays from the tip of the spire to the tip of the shadows = y
Therefore;
125° + y° + 25° = 180 (Angle sum theorem)
y° = 180° - (125° + 25°) = 30°
By sin rule, we have;
100/(sin (30°)) = (The length of the initial ray from the tip of the spire to the tip of the shadow before the shift)/(sin(125°))
Let the length of the initial ray from the tip of the spire to the tip of the shadow before the shift = l
100/(sin (30°)) = l/(sin(125°))
l = (sin(125°))×100/(sin (30°)) = 163.83 m
The height of the spire, by trigonometric ratio = sin(25°) × 163.83 m = 69.24 m
The height of the spire = 69.24 m.
algebra isn’t my best subject, please help
The Distributive property states that when we have the statement a(b + c), we can "distribute" the a by multiplying a times both terms that are inside the parenthses.
So in this problem, 2(5 + 7) can be simplified by distributing the
2 through both terms that are inside the set of parenthses.
So we have (2 · 5) + (2 · 7).
Answer:
Distributive Property
Step-by-step explanation:
You are distributing the 2 to the 5 and 7. which goes from 2(5+7) to 10+14.
If y=3/5x+26 find the value of y when x=12
Answer:
46
Explanationy = 3 /5x +26
y =?
X= 12
y=3 /5x + 26
y= 3 / 5 × 12 + 26
y = 3 / 60 + 26
y = 20 + 26
y = 46 ans
2+2=????????????????????????????????????
Answer:
The answer is 4
Step-by-step explanation:
1+1+1+1=4
f(x) = 3•2^x
h(x) = 2x - 7
h(f(2)) =
Answer:
17
Step-by-step explanation:
f(x) = 3•2^x
h(x) = 2x-7
f(2) = 3•2^2
= 3•4
= 12
h(f(2)) = 2(12) - 7
= 24 - 7
= 17
Solve |2x - 5| = 4 I dont know what you solve for
Hello!
Answer:
[tex]\huge\boxed{x = 1/2, 9/2}[/tex]
|2x - 5| = 4
Solve for the negative and positive expressions:
2x - 5 = 4
2x = 9
x = 9/2
------------
-(2x - 5) = 4
-2x + 5 = 4
-2x = -1
x = 1/2.
Therefore, the solutions are x = 1/2 and 9/2.
ANSWER FAST ...............
Answer:
The answer is
Step-by-step explanation:
First term 8. I am a 100% sure.
Hope this helps....
Have a nice day!!!!
(6+a) divided by 5 -2
Answer:
(6+a)/3
Step-by-step explanation:
(6+a)/5-3
5-3=2
(6+a)/2
Which of the following characteristics of experiments are also characteristics of surveys? Check all that apply.
A. Data are gathered during the course of the study.
B. The study involves one or more treatment groups and a control group.
C. The study compares two or more treatments (possibly including no treatment")
D. Replication with different groups of subjects can improve the reliability of the study.
E. Statistical analysis is applied to the results of the study.
Answer: The best answers are :
A Data are gathered during the course of the study E. Statistical analysis is applied to the results of the studyD. Replication with different groups of subjects can improve the reliability of the study.Step-by-step explanation:
I hope it helps :)
Answer:
a and c
Step-by-step explanation:
what is the gcf of of -9y^2 + 6y
Answer:
3y
Step-by-step explanation:
First find the factors of the terms. You need to then figure out how many factors match.
-9y² = -1 · 3 · 3 · y · y
6y = 2 · 3 · y
3y is the greatest common factor.
Find the volume for the following composite object.
Answer:
[tex] Volume = 7440.16 ft^3 [/tex]
Step-by-step explanation:
Volume of the composite object = volume of cylinder - volume of rectangular prism
Volume of the composite object = πr²h - whl
where,
π = 3.14
r = 14 ft
h = 14 ft
w = 6 ft
l = 14 ft
[tex] Volume = (3.14*14^2*14) - (6*14*14) [/tex]
[tex] Volume = 8616.16 - 1176 [/tex]
[tex] Volume = 7440.16 ft^3 [/tex]
How can I identify witch of those numbers don’t belong with the other there 50.1 -50 over two -50.1 square root of 50?
I'm assuming you were given these four values
50.1, -50/2, -50.1, sqrt(50)
where 'sqrt' stands for 'square root', and the slash symbol means divide or fraction.
If my assumption is correct, then the term that does not belong is sqrt(50). This is because the other values are all rational. We can express them as a fraction of two whole numbers
50.1 = 501/10-50/2 is already a fraction, no need to do any work for this one-50.1 = -501/10But we can't do the same with sqrt(50). It is irrational. Note how 50 is not a perfect square. Your calculator will show that sqrt(50) = 7.07106781186548 and that decimal sequence goes on forever without any pattern. If you were given sqrt(49), then it would work because sqrt(49) = 7 = 7/1.
|-12+3|= simply the expression
Answer:
|-12+3|=9
Step-by-step explanation:
Hello, -12+3=-9 and then we have to take the absolute value of -9, which is 9.
Thank you
Answer:
9
Step-by-step explanation:
|-12+3|
|-9|
9
Solve the solution
15 - 2(3 - 2x) = 46
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf x = 9.25}}}}[/tex]Step-by-step explanation:
[tex] \sf{15 - 2(3 - 2x) = 46}[/tex]
Distribute 2 through the parentheses
⇒[tex] \sf{15 - 6 + 4x = 46}[/tex]
Subtract 6 from 15
⇒[tex] \sf{9 + 4x = 46}[/tex]
Move 9 to right hand side and change its sign
⇒[tex] \sf{4x = 46 - 9}[/tex]
Subtract 9 from 46
⇒[tex] \sf{4x = 37}[/tex]
Divide both sides of the equation by 4
⇒[tex] \sf{ \frac{4x}{4} = \frac{37}{4} }[/tex]
Calculate
⇒[tex] \sf{x = 9.25}[/tex]
Hope I helped!
Best regards!!
The solution of the given equation 15 - 2(3 - 2x) = 46 is x = 37/4.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
Now the given equation is,
15 - 2(3 - 2x) = 46
Let us first expand the brackets ,
15 - 6 + 4x = 46
Now solving them we get,
9 + 4x = 46
Substracting by 9 both the sides of the equation we get,
⇒4x = 37
Dividing the equation by 4 we get
⇒x = 37/4
Hence,The solution of the given equation 15 - 2(3 - 2x) = 46 is x = 37/4.
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Melissa was charged $3 each time she
used the ATM at work. She used the
work ATM 24 times in a month. By how
much did her bank account change from
using the ATM at work?
Answer:
Therefore, Melissa will be charged $72 for busing work ATM 24 times in a month
Step-by-step explanation:
Melissa was charged $3 each time she used the ATM at work
She used the work ATM 24 times in a month.
Charge per usage= $3
Number of times of usage= 24
By how much did her bank account change from using the ATM at work
Total charges = charge per usage × Number of times of usage
= 3 × 24
= 72
Total charges = $72
Therefore, Melissa will be charged $72 for busing work ATM 24 times in a month
Tickets for a concert cost $2 for children, $3 for students, and $4 for adults. Ticket sales totaled $522 and 177 people attended the concert. Twice as many students as adults attended. Find how many of each type of ticket were sold. Assume that everyone who bought a ticket attended the concert.
Answer:
Children = 51
Adults = 42
Students= 84
Step-by-step explanation:
Children = $2
Students = $3
Adults = $4
Total sales = $522
Total people who attended = 177
Adults =a
Students = s= 2a
Children = c
c+s+a = 177 (1)
2c+3s+4a=522 (2)
Substitute s=2a into the equations
c + 2a + a = 177
c + 3a = 177 (3)
2c + 3(2a) + 4a = 522
2c + 6a + 4a = 522
2c + 10a = 522 (4)
c + 3a = 177 (3)
2c + 10a = 522 (4)
Multiply (3) by 2
2c + 6a = 354 (3b)
2c + 10a = 522
Subtract (3b) from (4)
10a - 6a = 522 - 354
4a = 168
Divide both sides by 4
a= 168/4
= 42
a= 42
s= 2a
= 2(42)
= 84
s= 84
Substitute the value of s and a into (1)
c+s+a = 177 (1)
c + 84 + 42 = 177
c + 126 = 177
c = 177 - 126
= 51
c=51
Children = 51
Adults = 42
Students= 84
find a9 if the geometric sequence is: 567,-189,63
Answer:
3720087
Step-by-step explanation:
Given that,
A geometric sequence : 567,-189,63
First term is : 567
Common ratio : 567/-189 = -3
The nth term of a GP is given by :
[tex]a_n=ar^{n-1}[/tex]
n = 9
So,
[tex]a_9=567\times (-3)^{9-1}\\\\a_9=3720087[/tex]
So, the 9th term of the geometric sequence is 3720087.
What is the slope of a line between (-17,6)and (-18,11)
Answer:
m = -5
Step-by-step explanation:
m = (y₂ - y₁) / (x₂ - x₁)
m = (11 - 6) / (-18 - ( -17))
m = 5 / (-18 + 17)
m = 5 / -1
m = -5
Bottle A can hold 3L more juice than bottle B. Bottle D can hold 5L more juice than bottle A. Bottle C can hold 3L less juice than bottle A.
Answer:
This may be incomplete, i will try to answer this in a general way.
We have 4 bottles, A, B, C and D.
If A is the volume of Bottle A, B is the volume of bottle B, C is the volume of bottle C, and D is the volume of bottle D, we have that:
A = B + 3L.
D = A + 5L
C = A - 3L.
Let's solve this system the most we can (we can not fully solve the system because we have more variables than equations)
First, taking the third equation and adding 3L in both sides, we have:
C + 3L = A.
This is equivalent to the first equation, so we have that C = B.
now, we have two equations:
A = B + 3L
D = A + 5L
We can replace the first equation into the second equation and get:
D = A + 5L = (B + 3L) + 5L = B + 8L
So bottle D can hold 8L more juice than bottle B (and because bottle B and bottle C have the same volume, bottle D can hold 8L more juice than bottle C)
Now, we can order the bottles depending on the volume:
Bottle D is the one with larger volume.
Bottle A comes next.
Bottles C and B are the smaller ones, and they are together because they have the same volume.
Write the equation
y + 5 = 4(x + 2)
in slope intercept form
(y mx + b).
Answer:
y = 4x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b
Given
y + 5 = 4(x + 2) ← distribute the parenthesis
y + 5 = 4x + 8 ( subtract 5 from both sides )
y = 4x + 3 ← in slope- intercept form
you will use 2 operations when doing algebra. true or false
Answer:true
You will be using 2 operations
does anyone know this?
Answer:
[-10, 3]
Step-by-step explanation:
Hello!
To find the range of a graph you look at the lowest point and the highest point
The highest point is 3
The lowest point is -10
The range is [-10, 3]
Hope this helps!
Answer:
-10, 3
Step-by-step explanation:
high: 3
low: -10
the order of the 2 coordinates goes left or right, then up or down
( plz mark me as brainliest, that would be most appreciated! )
C. How do the processes you used for
parts A and B differ? How are they the same?
Answer:
Original Medicare comes in two parts. Medicare Part A covers hospital services, skilled nursing facility care, hospice, and some home health care. Medicare Part B covers medical services, including doctor visits, preventive screenings, certain vaccinations, lab tests, and durable medical equipment.
please help on 19 and 20
Answer:
c and d
Step-by-step explanation:
Answer:
C AND D
Step-by-step explanation:
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
Simplify the following expression: 4(y + 3) − 6(y − 2) + 5
Answer:
-2y +29
Step-by-step explanation:
Answer:
-2y+29
Step-by-step explanation:
Rectangle PQRS has vertices at P-2,5), Q44,5), R(4, -1), and S(-2,-1). What is the area, in square units, of rectangle PQRS? 21 b 35 36 40
Answer:
36 square units.
C
Step-by-step explanation:
Please refer to the provided graph.
So we want to figure out the area of the rectangle. To do so, we simply need to figure out the base and height of the rectangle. We can then multiply them together to acquire the area.
From the graph, we can see that if we find the length of SR and SP, we can use the the base and height, respectively.
Now, we just have to find there lengths. Technically, we could just count. However, I'm going to use the distance formula.
the distance formula is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Find the length of SR:
Point S is (-2,-1) while Point R is (4,-1). Let (-2,-1) be x₁ and y₁ and (4,-1) be x₂ and y₂. Therefore:
[tex]d=\sqrt{(4-(-2))^2+(-1-(-1))^2}\\d=\sqrt{(6^2)+(0)^2} \\d=\sqrt{36}=6[/tex]
So, SR is 6.
Now, find the length of SP:
Point S is (-2,-1) while Point P is (-2,5). Let Let (-2,-1) be x₁ and y₁ and (-2,5) be x₂ and y₂. Therefore:
[tex]d=\sqrt{(-2-(-2))^2+(5-(-1))^2}\\d=\sqrt{0^2+6^2}\\ d=\sqrt{36}=6[/tex]
Therefore, SP is also 6.
Now, the area for a rectangle is:
[tex]A=bh[/tex]
Plug in 6 for the base and 6 for the height:
[tex]A=6(6)\\A=36\text{ units}^2[/tex]
On a coordinate plane, a line goes through (negative 3, 2) and (2, negative 1). A point is at (3, 0). What is the equation of the line that is perpendicular to the given line and passes through the point (3, 0)? 3x + 5y = −9 3x + 5y = 9 5x − 3y = −15 5x − 3y = 15
Answer:
5x -3y = 15
Step-by-step explanation:
First find the slope of the line through ( -3,2) and (2,-1)
m = (y2-y1)/(x2-x1)
=( -1-2)/(2--3)
= -3/(2+3)
= -3/5
We want a line that is perpendicular so the slopes will multiply to -1
m * -3/5 = -1
Multiply each side by -5/3
m * -3/5 * -5/3 = -1 *-5/3
m = 5/3
The slope of the perpendicular line is 5/3
We have a slope and a point
Using point slope form
y-y1 = m(x-x1)
y-0 = 5/3( x-3)
y = 5/3( x-3)
Distribute
y = 5/3x -5
Multiply each side by 3
3*y = 3(5/3x -5)
3y = 5x - 15
Subtract 5x from each side
-5x+3y = -15
Multiply each side by -1
5x -3y = 15
Answer:
D. 5x − 3y = 15
May I have brainliest please? :)
can anyone plz help?
Answer:
89.76 yd^2
Step-by-step explanation:
The area is given by
A = bh
A = 10.2 * 8.8
A =89.76 yd^2