Answer:
Step-by-step explanation:
x1 y1 x2 y2
-4 3 3 1
ΔY -2
ΔX 7
slope= - 2/7
Sameera purchased 3 (1/2) kg of apples and 4 (3/4) kg of oranges. What is the total weight of fruits purchased by her ?
Answer:
8 1/4 kg
Step-by-step explanation:
Add the weight of the fruits together
3 1/2 + 4 3/4
Get a common denominator of 4
3 2/4 + 4 3/4
7 5/4
7 4/4 + 1/4
8 1/4 kg
The functions f and g are defined as follows.
Answer:
f(4) = -14
g(-2) = 22
Step-by-step explanation:
f(x) = -4x+2
Let x = 4
f(4) = -4*4 +2
= -16+2
= -14
g(x) = -3x^3 -2
Let x = -2
g(-2)= -3(-2)^3-2
= -3(-8)-2
= 24-2
=22
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
Here,
f(x)=-4x+2
we have to find the value of f(4)
[tex]\sf{f(4)=-4(4)+2=-16+2=-14 }[/tex]g(x)=[tex]{-3x^3-2 }[/tex]
we have to find the value of g(-2)
[tex]\sf{g(-2)=-3(-2)^3-2 }[/tex] [tex]\sf{ g(-2)=-3(-8)-2 }[/tex] [tex]\sf{g(-2)=24-2=22 }[/tex] More information:-[tex]\begin{gathered} \: \: \: \footnotesize{\boxed{\begin{array}{c|c} \\\\{\bf {f(4)}} & {\bf {-14}} \\ \\\\ \text{g(-2)} & \sf{22} \end {array}}}\end{gathered}[/tex]
Solve the formula A = lw for /
Answer:
A/w = l
Step-by-step explanation:
A = lw
Divide each side by w
A/w = lw/w
A/w = l
Good evening, I would need some help on this exercise.
Paul takes advantage of the sales to buy pants for € 29.50 which initially cost € 5 more. He also buys a € 17 T-shirt on which he is entitled to a 25% discount at the cash desk. What percentage of the total amount of his purchases did he save by purchasing these items during the sales?
thank you
Answer:
He Saved 18.664%
Step-by-step explanation:
Well first we need to find the total of the original price of the items he got
then we can solve for how much (in percentage) he saved
We know the original price of the pant as € 34.50 because 5+29.50=34.50
Now lets find out the original price of the shirt
The shirt's original price can be found by using this equation
x * .75 = 17
17/ .75 = x
22.67 = x
Now since we know the prices of these two items lets add them together
34.50 + 22.67 = 57.17
He actually spent
29.50 + 17 = 46.5
Now what percentage of 57.17 is 46.5?
We can use 46.5/57.17 = 0.81336
.81336 *100 = 81.336%
100-81.336 = 18.664
18.664% was saved
Pythagorean Theron can someone help me with this
Answer:
Step-by-step explanation: This means the hypothenuse and the Adjacent are equal b= x thus the double lines indicates and they are opposite to 6
In English auction, an item is auctioned. People increase bids in increments of $10, and the player giving the highest bid gets the item for that amount of money. Give reasons why the auctioneer would be considered a player of the game, or reasons why he or she would not. Does the game contain random moves
What is the solution to the system of equations graphed below? PLSSS HELP
Answer:
C (-2,0)
Step-by-step explanation:
Find the point where they intersect. It's (-2,0) on the graph
Answer:
C
Step-by-step explanation:
Looking at the graph, the solution is (-2, 0).
This is because on the x axis, the point is 2 units to left (negative number) and does not move on the y axis (leaving it at 0).
Another way to see this is by plugging in these coordinates into the system of equations:
0 = -2(-2) - 4
0 = 4 - 4
0 = 0
0 = -2 + 2
0 = 0
These are both correct, once again proving the solution is (-2, 0).
can someone help me understand this.
Answer:
easy-peasy
Step-by-step explanation:
Perimeter:
P=2(a+b)
P=2(50+70)
P=2(120
P=240
Area:
A=50*70
A=3,500
I really hope it helped:)
Answer:
Step-by-step explanation:
Perimeter is the measure around the outside of the field while area is a measure of what's inside the field. The field has 2 long straight lengths of 120 m each, so now we just need to find the circumference of the whole circle that is made by sticking each of the 2 rounded ends together. The circumference of the whole circle (both rounded ends stuck together) is
C = πd and
C = (3.1415)(50) so
C = 157.075
Now we add in the 2 straight edges of the field to get the perimeter:
P = 120 + 120 + 157.075 and
P = 397.075 m
The area requires that we find the composite area: that is, the area made up by the rectangle measuring 120 x 50, and the area of the circle that is made up of the 2 rounded ends.
The area of the rectangle is length times width: A = 120(50) so A = 6000
The area of the circle is [tex]A=\pi r^2[/tex] so [tex]A=(3.1415)(25)^2[/tex] and the area of the circle is 1963.495.
Add these 2 areas together to get the area of the whole field:
6000 + 1963.495 = 7963.495 meters squared
5x + 4 < X-5, when X belongs to Z
Answer:
Step-by-step explanation:
5x+4<x-5
5x-x<-5-4
4x<-9
x<-9/4
x=(-∞,...,-4,-3]
Answer:
Step-by-step explanation:
5X + 4 < X - 5
5x - x < -5-4
4x<-1
4x/4 > -1/4
x>-1/4
one morning sam cycles 5km in 20 mins and Dwight cycles 6km in 30mins Determain who cycles faster. Show your work
Answer:
5 + 20 + 6
Step-by-step explanation:
that's how you get
A grocery store recently sold 12 cans of soup, 6 of which were black bean soup. Based on experimental probability, how many of the next 20 cans sold should you expect to be black bean soup?
Answer:
10
Step-by-step explanation:
P(black bean soup) = cans of black bean / total = 6/12 =1/2
out of the next 20
20 *P(black bean)
20 * 1/2 = 10
Anybody know? Because I don’t
Answer:
B
Step-by-step explanation:
(4x^-2)^4
256x^-8
256 * 1/x^8
256/x^8
PLEASE HELP URGENTLY!!
Answer:
x = 69
Step-by-step explanation:
since AB is parallel to CD we can find the value of y with the following equation :
2y - 40 = 66 add 40 to both sides
2y = 110 divide both sides by 2
y = 55
from supplementary angles, we know that the exterior angle's measure is 124
since the sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle
y + x = 124 we found value of y earlier
55 + x = 124 subtract 55 from both sides
x = 69
Find x and explain how you found it
Answer:
42 degrees
Step-by-step explanation:
Since m and n are parallel, that is a transversal
So 24=(x-18) because of exterior angle property
so x - 18 = 24
We bring - 18 to the other side so it becomes + 18
x = 24 + 18
x = 42
I don’t understand what A is trying to ask please could someone help me? Thank you!
You have the right idea. You'll apply a y-axis reflection to go from above the x axis to below it. This allows us to move the red line into the correct vertical position without having to use a vertical translation.
Afterward, you'll shift the red line 4 units to the right to have it line up perfectly with the blue line.
Going from f(x) to -f(x) is the y-axis reflection part
Going from -f(x) to -f(x-4) will shift the line 4 units to the right.
Answer: g(x) = -f(x-4)Last month, Margo bought a tree that grows 2.5 each day. It was 5cm tall when she bought it and now it is 65cm tall. How many days has Margo owned the plant?
Answer:
2.6
Step-by-step explanation:
2.5÷65=2.6
For problems 1 - 4, write a two-column proof.
Answer:
Solution given:
1:
<5=<6
<5+<4=180°[co interior angle]
Substituting value of<5
<6+<4=180°[it shows a property of co interior angle]
So
l || m
2:
<1=90°[ l is perpendicular to t]
<2=90°[m is perpendicular to t]
since
<1=<2[shows property of corresponding angle]
:.
l || m.
3:
<1=<2
<1=<3
substituting value of<1 in second one
<2=<3[which shows property of alternate Angel]
So
Segment ST || segment UV.
4:
<RSP=<PQR......[I]
<QRS+<PQR=180°.....[ii]
from equation I and ii we get
<RSP+<QRS=180°[which shows property of co interior angle ]
So
Segment PS || segment QR
These pictures are the questions given in the pdf, let's get the solutions.
1) Solution
It is given that,
→ <5 = <6
Then the co interior angles,
→ <5+ <4 = 180°
Now substituting value of <5,
→ <6+ <4 = 180°
This shows property of co interior angle.
Therefore, L II m.
2) Solution
Take it as,
→ <1= 90°
In above eq. L is perpendicular to t.
→ <2 = 90°
In above eq. m is perpendicular to t.
Then it will be,
→ <1 = <2
It shows property of corresponding angle.
Therefore, L II m.
3) Solution
It is given that,
→ <1 = <2 and <1 = <3
Now substitute,
The value of <1 in second one,
→ <2 = <3
This shows property of alternate angle.
Therefore, ST II UV.
4) Solution
It is given that,
→ <RSP = <PQR --- (1)
→ <QRS + <PQR = 180° --- (2)
Now from the equation (1) and (2),
→ <RSP + <QRS = 180°
It shows property of co interior angle.
Therefore, PS II QR.
8x - 12
6x + 8
x = [?]
Answer:
x = 10
Step-by-step explanation:
8x-12 = 6x+ 8
or, 8x -6x = 8 + 12
or, 2x = 20
or, x = 20/2
so, x = 10
Answer:
10
there is a problem with the question...
IF it was : 8x - 12 = 6x + 8
then the answer would be: 2x = 20 .... x = 10
Step-by-step explanation:
Las dimensiones de un paquete de galletas son 2 cm x 0.75 cm x 25 cm. Cuántos paquetes de galletas caben en una caja cuyas dimensiones son 2 cm de ancho, 75 cm de largo y 2.5 cm de alto?
Explain how to solve 4^(x+3)=7 using the change of base formula log_by=log y/ log b. Round to the nearest thousandth
Answer:
x = -1.59
Step-by-step explanation:
We are here given a equation and we need to solve out for x. The given equation is ,
[tex]\sf\longrightarrow 4^{( x +3)}= 7[/tex]
Take log to the base " e " on both sides , so that we can remove the variable from the exponent .
[tex]\sf\longrightarrow log_e 4^{x+3}= log_e 7[/tex]
Simplify using the property of log , [tex]\sf log a^m = m log a [/tex] , we have ,
[tex]\sf\longrightarrow (x + 3) ln 4 = ln 7 [/tex]
Distribute by opening the brackets ,
[tex]\sf\longrightarrow x ln 4 + 3 ln 4 = ln 7[/tex]
This can be written as ,
[tex]\sf\longrightarrow x ln 4 = ln 7 - 3ln4 [/tex]
Divide both sides by ln 4 ,
[tex]\sf\longrightarrow x = \dfrac{ ln7}{ln 4 } - \dfrac{ 3ln4}{ln4} [/tex]
Simplify ,
[tex]\sf\longrightarrow x = \dfrac{ ln4 }{ln7 } -3[/tex]
On simplifying , we will get ,
[tex]\sf\longrightarrow \boxed{\blue{\sf x = -1.59 }}[/tex]
Question 2 (1 point)
Match each situation to a linear system below.
A child has a piggy bank full
of $1 and $2 coins totalling
$37.
There are 25 more $1 coins
than there are $2 coins.
1. x + 2y = 37
x - y = 25
An exam that is worth 37
marks contains 25
questions.
The questions are either
worth 1 mark or 2 marks.
2. x + 2y = 37
x + y = 25
18
3. x - 2y = 37
x + y = 25
The sum of two numbers is
25.
The first number is 37 more
than 2 times the second
number
Answer:
See answers below
Step-by-step explanation:
For the expression
The sum of two numbers is 25. The first number is 37 more than 2 times the second number
Let the two numbers be x and y
If the sum is 25, then;
x + y = 25 .... 1
37 more than 2 times the second the number is expressed as;
37+2y
If the first number is 37 more than 2 times the second number, then;
x = 37 + 2y
x - 2y = 37 ...2
This shows that the simultaneous equation that fits the expressions are;
x - 2y = 37
x + y = 25
For the expression
A child has a piggy bank full of $1 and $2 coins totaling $37. There are 25 more $1 coins than there are $2 coins.
Let x be the $1 coins
Let y be the $2 coins
If a child has a piggy bank full of $1 and $2 coins totaling $37, then;
x + 2y = 37 ... 1
Also, if there are 25 more $1 coins than there are $2 coins, then;
x = 25 + y
x - y = 25 ...2
The equivalent expressions for the statement will be;
x + 2y = 37
x - y = 25
This hence leaves us with the last;
An exam that is worth 37 marks contain 25 questions. The questions are either worth 1 mark or 2 marks. The resulting simultaneous equation will be;
x + 2y = 37
x + y = 25
PLEASE HELP!!!
Select the correct answer.
Which function has an average rate of change of -4 over the interval [-2, 2]?
Answer:
D.
Step-by-step explanation:
Find the average rate of change of each given function over the interval [-2, 2]]:
✔️ Average rate of change of m(x) over [-2, 2]:
Average rate of change = [tex] \frac{m(b) - m(a)}{b - a} [/tex]
Where,
a = -2, m(a) = -12
b = 2, m(b) = 4
Plug in the values into the equation
Average rate of change = [tex] \frac{4 - (-12)}{2 - (-2)} [/tex]
= [tex] \frac{16}{4} [/tex]
Average rate of change = 4
✔️ Average rate of change of n(x) over [-2, 2]:
Average rate of change = [tex] \frac{n(b) - n(a)}{b - a} [/tex]
Where,
a = -2, n(a) = -6
b = 2, n(b) = 6
Plug in the values into the equation
Average rate of change = [tex] \frac{6 - (-6)}{2 - (-2)} [/tex]
= [tex] \frac{12}{4} [/tex]
Average rate of change = 3
✔️ Average rate of change of q(x) over [-2, 2]:
Average rate of change = [tex] \frac{q(b) - q(a)}{b - a} [/tex]
Where,
a = -2, q(a) = -4
b = 2, q(b) = -12
Plug in the values into the equation
Average rate of change = [tex] \frac{-12 - (-4)}{2 - (-2)} [/tex]
= [tex] \frac{-8}{4} [/tex]
Average rate of change = -2
✔️ Average rate of change of p(x) over [-2, 2]:
Average rate of change = [tex] \frac{p(b) - p(a)}{b - a} [/tex]
Where,
a = -2, p(a) = 12
b = 2, p(b) = -4
Plug in the values into the equation
Average rate of change = [tex] \frac{-4 - 12}{2 - (-2)} [/tex]
= [tex] \frac{-16}{4} [/tex]
Average rate of change = -4
The answer is D. Only p(x) has an average rate of change of -4 over [-2, 2]
Answer:
see photo
Step-by-step explanation:
Plato/Edmentum
Can Anyone please tell me How to Multiply 18√2×18√2...
Please show steps aslo..
Answer:
648
Step-by-step explanation:
18√2×18√2= (18√2)²
= (18)²×(√2)²
= 324×2
= 648
Can someone help me out, please? Its really important
Answer:
3x^4+8x^3+9x^2+2x
14. The following solution contains errors. Identify the errors and explain why they are incorrect.
Explain what should have been done to answer the question properly.
asap please help! and explain how you got the answer!
Jamar has 90 cents in his pocket. One coin is a quarter, and the others are
nickels. How many nickels does he have?
A. 23
B. 65
C. 13
D. 15
Answer:
C. 13
Step-by-step explanation:
Quarters are worth 25 cents each
Nickels are worth 5 cents each
Let n be the number of nickels that Jamar as in his pocket.
We already know that he only has 1 quarter in his pocket which is worth 25 cents, so we can form this equation:
5n + 25 = 90
5 meaning that each nickel is worth 5 cents, 25 meaning that he has only 1 quarter in his pocket (25 cents) and 90 meaning that he has a total of 25 cents in his pocket.
We have to isolate the n so we can subtract 25 from both sides to get:
5n = 65
After that we can get n by dividing 5 from both sides:
n = 13
Therefore there are 13 nickels in his pocket.
Let me know if I did anything incorrectly.
The number of nickels he has is 13. The correct option is C.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that quarters are worth 25 cents each and nickels are worth 5 cents each.
Let n be the number of nickels that Jamar has in his pocket.
We already know that he only has 1 quarter in his pocket which is worth 25 cents, so we can form this equation:
5n + 25 = 90
5 meaning that each nickel is worth 5 cents, 25 meaning that he has only 1 quarter in his pocket (25 cents), and 90 meaning that he has a total of 25 cents in his pocket.
We have to isolate the n so we can subtract 25 from both sides to get:
5n = 65
After that we can get n by dividing 5 from both sides:
n = 13
Therefore, the number of nickels he has is 13. The correct option is C.
To know more about expression follow
brainly.com/question/723406
#SPJ2
rút gọn √(6-3(√(2+√3)-√(2+√(2+√3)
Answer:
10
Step-by-step explanation:
not sure please verify
T is directly proportional to x2. If T=36 and x=3 find the value of t when x = 5
Answer:
[tex]{ \bf{T \: \alpha \: {x}^{2} }} \\ { \tt{T = k {x}^{2} }} \\ { \tt{36 = (k \times {3}^{2}) }} \\ { \tt{k = 4}} \\ \\ { \tt{T = 4 {x}^{2} }} \\ { \tt{T = (4 \times {5}^{2}) }} \\ { \bf{T = 100}}[/tex]
Find EH , given that line HF is the perpendicular bisector of EG
Answer:
EH = 5
Step-by-step explanation:
HF is the perpendicular bisector of EG , then
EH = HG = 5