Answer:
2(x + 3) = 2x + 6
Step-by-step explanation:
Here, we want to expand
2(x + 3)
To do this, we simply multiply the term outside the bracket with each of the terms inside it
That will be;
(2 * x ) + (2 * 3)
= 2x + 6
Ellen is playing a video game in which she captures butterflies. There are 5 butterflies onscreen, but the number of butterflies doubles every minute. After 4 minutes, she was able to capture 4 of the butterflies. Enter an expression for the number of butterflies after 4 minutes. Use a power of 2 in your answer. An expression is
Answer:
76
Step-by-step explanation: Given that: There are 5 butterflies onscreen
The number of butterflies doubles every minute.
That is every increase in minute = double in the numbers of butterflies
Expressing in the power of 2
= 5×2^n. .......... 1
Where n is 4 which can as well range from ( 1,2,3,4 )
Hence, using the expression in equation 1
Ist minute where n = 1
5(2^1) = 10 butterflies
2nd minutes: where n = 2
5(2)(2) = 5(2^2) butterflies
After 3rd minutes :
5(2^3) butterflies where n = 3
After 4th minutes : where n = 4
5(2^4) butterflies
But at that point she was able to capture 4.
After 4 min, number on screen = 5(2^4) - 4
= 5(16) - 4
= 80-4
= 76
1) Choose the correct answer.
The ___ of two sets is the set of elements that could be found in both sets at the same time.
intersection
union
conjunction
disjunction
Answer:
Intersection
Step-by-step explanation:
The intersection of two set A and B is defined as the elements which can be found in both set A and set B.
For instance :
A = {1, 3, 5, 7, 9, 11}
B = {2, 4, 6, 7, 8, 9, 10}
The intersection of the two sets A and B denoted as ;
AnB = {7, 9}
What is the product? StartFraction 4 k + 2 Over k squared minus 4 EndFraction times StartFraction k minus 2 Over 2 k + 1 EndFraction StartFraction 4 Over 2 k + 1 EndFraction StartFraction 2 Over k minus 2 EndFraction StartFraction 2 Over 2 k + 1 EndFraction StartFraction 2 Over k + 2 EndFraction
Answer:
[tex]\frac{2}{k+2}[/tex]
Step-by-step explanation:
Given the expression:
[tex]\frac{4k+2}{k^2-4} * \frac{k-2}{2k+1}[/tex]
We are to find the product as shown:
[tex]= \frac{4k+2}{k^2-4} * \frac{k-2}{2k+1}\\\\= \frac{2(2k+1)}{k^2-2^2} * \frac{k-2}{2k+1}\\\\= \frac{2(2k+1)}{(k-2)(k+2)} * \frac{k-2}{2k+1}\\\\= \frac{2}{k+2} * 1\\\\= \frac{2}{k+2}[/tex]
Hence the required function is [tex]\frac{2}{k+2}[/tex]
d. StartFraction 2 Over k + 2 EndFraction
aka
d. 2/k+2
Solve for 15 ≥ -3x or x ≥ -2.
Answer:
x≥−5
Step-by-step explanation:
Tyler practiced the clarinet for 64% as much time as Han practiced tge piano. How long did he practice
Answer: 48 minutes
Step-by-step explanation:
Tyler practised only 64% as much as Han did.
The amount of time Tyler practiced is:
= 75 * 64%
= 48 minutes
Two linear equations are represented by using the tables below.
A 2-column table with 4 rows is titled Equation A. Column 1 is labeled x with entries negative 5, negative 2, 0, 1. Column 2 is labeled y with entries negative 4, negative 1, 1, 2.
A 2-column table with 4 rows is titled Equation B. Column 1 is labeled x with entries negative 6, negative 3, 3, 6. Column 2 is labeled y with entries negative 4, negative 2, 2, 4.
The data points for equation A are plotted on the coordinate plane below and are connected by using a straight line.
On a coordinate plane, a line goes through points (negative 5, negative 4), (negative 2, negative 1), (0, 1), (1, 2).
What is the solution to the system of equations?
(–6, –4)
(–5, –4)
(–3, –2)
(0, 1)
Answer:
(–3, –2)
Step-by-step explanation:
A linear equation is an equation in the form y = mx + b, where m is the slope of the line and b is the y intercept.
Equation A is represented by the points:
x: -5 -2 0 1
y: -4 -1 1 2
Equation A can be gotten by picking any two pair of points. Let us use (-5, -4) and (0, 1). We use this formula:
[tex]y- y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-(-4)=\frac{1-(-4)}{0-(-5)} (x-(-5))\\\\y +4=x+5\\\\y=x+1[/tex]
Equation B is represented by the points:
x: -6 -3 3 6
y: -4 -2 2 4
Equation B can be gotten by picking any two pair of points. Let us use (-6, -4) and (3, 2). We use this formula:
[tex]y- y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-(-4)=\frac{2-(-4)}{3-(-5)} (x-(-6))\\\\y +4=\frac{2}{3}( x+6)\\\\y+4=\frac{2}{3} x+4\\\\y=\frac{2}{3}x[/tex]
The solution to the system of equations is gotten by solving y = x + 1 and y = (2/3)x simultaneously.
Substitute y = (2/3)x in y = x + 1:
(2/3)x = x + 1
2x = 3x + 3
x = -3
Put x = -3 in y = (2/3)x
y = (2/3) (-3) = -2
Hence (-3, -2) is the solution
Answer:
(-3,-2)
Step-by-step explanation:
The center of a circle is at (2, −5) and its radius is 12.
What is the equation of the circle?
(x−2)2+(y+5)2=144
(x+2)2+(y−5)2=24
(x−2)2+(y+5)2=24
(x+2)2+(y−5)2=144
Answer:
The equation of the circle is (x - 2)² + (y + 5)² = 144 ⇒ A
Step-by-step explanation:
The form of the equation of the circle is (x - h)² + (y - k)² = r², where
r is the radius of the circleh, k are the coordinates of the center of the circleLet us solve the question
∵ The center of the circle is at (2, -5)
→ From the rule above
∴ h = 2 and k = -5
∵ The radius of the circle is 12
∴ r = 12
→ Substitute the values of r, h, and k in the form of the equation above
∵ (x - 2)² + (y - -5)² = (12)²
∴ (x - 2)² + (y + 5)² = 144
∴ The equation of the circle is (x - 2)² + (y + 5)² = 144
PLEASE HELP ME solve this it due today please fast
Answer:
5a. 14w
6a. 8b2 - 5b + (-4)
7a. (-3x2) +9x - 4
8a. 3 + 0b
9a. 19 + 6a
Step-by-step explanation: it’s basically imagine that x is :) and y is :( you cant add :( to :) because they are different also the symbols in front of them show if it’s negative or positive
Use the interactive number line to help complete each exercise. Place points at -1 and -4. Complete the inequality: -1 -4. Place points at the opposites for each number. Which inequality statement is true?
Question might not be complete
Answer and explanation:
The signs -1 and -4 lie on the negative side of the number line, left of zero(positive right of zero).
The opposites for each number would be +1 and +4 which would all be on the right side of zero on the number line
Inequality signs or statements to represent greater and lesser number on the number line using the numbers above as examples would be:
-1<+1
-4<-1
+1>-1
+1<4
-1-4<1+4
Numbers that don't have signs attached to them are automatically positive numbers
Answer:
1.>
2.1 < 4
Step-by-step explanation
SOMEONE HELP PLEASE!!! BRAINLY TO FIRST PERSON TO ANSWER CORRECTLY
Answer:
[tex]3\ in.^{3}[/tex]I think the answer is [tex]3\ in.^{3}[/tex] because the math adds up easily for this equation.
#TeamTrees
Hope this helps! <3
Help me with this plz
Answer:
y = 14x + 7
Step-by-step explanation:
Plsss help'
Algebra
plzzz
Answer:
f(X)= 3x^2- 30x+5
Step-by-step explanation:
f(X)= 3(x-5)^2-70
= 3(x^2-2.x.5+ 5^2) -70
= 3(x^2-10x+25)-70
= 3x^2-30x+75-70
= 3x^2-30x+5
1.6-4.7n+0.23=-4.4n+2.94 Provide step by step please
Answer:
n= 0.121978
Step-by-step explanation:
1.6-4.7n+0.23=-4.4n+2.94
4.7n+1.83=-4.4n+2.94
4.7n=-4.4n+2.94-1.83
4.7n=-4.4n+1.11
4.7n+4.4n=1.11
9.1×n=1.11
n=1.11/9.1
n=0.121978
Answer:
n=-3.7
Step-by-step explanation:
1.6-4.7n+0.23=-4.4n+2.94
-4.7n+1.83=-4.4n+2.94
+4.4n both sides
-0.3n+1.83=2.94
-1.83 both sides
-0.3n=1.11
Divide 3 both sides
n=-3.7
PLEASE HELP ME ( HELP NEEDED PLEASE)
Find the next three terms.
1,2,4,8,_,_,_,
Answer:
16, 32, 64
Step-by-step explanation:
There is a common ratio between consecutive terms, that is
2 ÷ 1 = 4 ÷ 2 = 8 ÷ 4 = 2
Thus to obtain any term in the sequence multiply the previous term by 2
a₅ = a₄ × 2 = 8 × 2 = 16
a₆ = a₅ × 2 = 16 × 2 = 32
a₇ = a₆ × 2 = 32 × 2 = 64
NEED HELP ASAP!!!!!!!!!!!!!!!
Answer:
the answer is a
Step-by-step explanation:
7. Renting bowling shoes costs $5. Bowling costs $4
per game. Which equation can be used to find y, the
total cost of bowling, if x represents the number of
games played.
A. y = 5x + 4
B. y = 5 + 4x
C. y = 5x + 4x
D. y = 5x - 4
Answer:
B. y = 5 + 4x
Step-by-step explanation:
x represents the number of games played so its y = 5 + 4x because bowling costs $4 per game
Will mark as brainliest!!!!!
Just need help with 5-8
how do i delete this
Answer:
For Question 5, X=7.5
Step-by-step explanation:
This triangle is bisected by an altitude. This proves that the triangle is cut in half. Because the bisected base lengths are equal, we know that 2x=15. Divide 15 by 2 to get 7.5 .
4x-2y=-4 what is the answer
Laura has 160 pounds of green beans at her vegetable stand. If she sells 10 pounds of green beans every hour, what is the percent decrease in green beans after 3 hours?
Answer:We have,
Beans sold in 1 hour = 10 pounds
So, Beans sold in 3 hours = 30 pounds
Decrease in green beans after 3 hours is 30 pounds.
Now,
Step-by-step explanation:
Answer:
18,75%
Step-by-step explanation:
3 x 10 = 30
so, she sold 30 pounds in 3 hours
160/100=1.6
1% - 1.6 pounds
30/1.6=18,75
9. The equation y = 3x represents a proportional relationship. What is the constant of proportionality?
Answer:
The constant of proportionality is 3
Step-by-step explanation:
Given:
y = 3x
The constant of proportionality is 3
y and x are variables respectively
just as writing
y = kx
Where,
k = constant of proportionality
Using the standard 28/36 guidelines, what is the maximum mortgage payment allowed for someone with an annual
salary of $73,025?
a $2,190.75
b. $2,044.70
c. $1,703.92
d. $1,217.08
Answer:
the answer is C
Step-by-step explanation:
just took test
Boxes Brownies
3 15
5 ?
8 40
10 50
fill in the blank.
When a certain polygon is rotated 60° counterclockwise, it is carried onto itself.
Select all the shapes below that this could describe.
pentagon
pentagon
hexagon
hexagon
octagon
octagon
nonagon
nonagon
dodecagon
dodecagon
When a hexagon is rotated 60° counterclockwise, it is carried onto itself.
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Rotation is the rotation of a figure about a given point.
The exterior angles of a regular hexagon measures 60 degrees each, hence:
When a hexagon is rotated 60° counterclockwise, it is carried onto itself.
Find out more at: https://brainly.com/question/11707700
Parallel lines prove:
Answer:the never ending lines
Evaluate 3/4 x 4 *
help i mark you Brainiest!!!!
A rectangle has a height of m + 8 and a width of 2m3 + m2 + 3m.
Answer:
A=2m⁴+17m³+11m²+24m
Step-by-step explanation:
The area of rectangle is length × width
A=LW
A=(m+8)(2m³+m²+3m)
A= 2m⁴+m³+3m²+16m³+8m²+24m
A=2m⁴+m³+16m³+3m²+8m²+24m
A=2m⁴+17m³+11m²+24m
evaluate 7p+6(p/q)2 q if p = 6 and q = 3. show your work and give an explanation for each step .
Answer:
63 is the required value.
Step-by-step explanation:
We need to find the value if p = 6 and q = 3 in the below expression i.e.
[tex]7p+6(\dfrac{p}{q})^2-q[/tex]
Put p = 6 and q = 3 in the above expression.
[tex]=7(6)+6(\dfrac{6}{3})^2-3\\\\=42+6(2)^2-3\\\\=42+24-3\\\\=63[/tex]
So, the value of the given expression is 63.
3. What % of 100 is 13?
Answer:
To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 13 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 13 is 100%, so we can write it down as 13=100%.
4. We know, that x is 100% of the output value, so we can write it down as x=100%.
5. Now we have two simple equations:
1) 13=100%
2) x=100%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
13/x=100%/100%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 100% of 13
13/x=100/100
(13/x)*x=(100/100)*x - we multiply both sides of the equation by x
13=1*x - we divide both sides of the equation by (1) to get x
13/1=x
13=x
x=13
now we have:
100% of 13=13
Step-by-step explanation:
Have A Wonderful Day !!
Lucy and JoJo need to make 140 cupcakes for the school dance. Lucy made 35 of the cupcakes JoJo made 42 cupcakes What fraction of the cupcakes do Lucy and JoJo still need to make? (Use / as a fraction bar.)
Answer:
16/35
Step-by-step explanation:
From the question we are given:
total number of cupcakes needed for the school dance = 140 cupcakes
Lucy made 35cupckes
JoJo made 42 cupcakes
Total cupcakes made by JoJo and Lucy = 35+42 = 76cupcakes
Remaining cupcakes still needed to be made = 140 - 76 = 64cupckes
Fraction of the cupcakes that Lucy and JoJo still need to make = 64/140
Fraction of the cupcakes that Lucy and JoJo still need to make = 16/35
Hence the fraction of the cupcakes that Lucy and JoJo still need to make is 16/35
Answer:
16/35
Step-by-step explanation:
is that right? I'm pretty sure it is.
Answer:
That is correct AS A DECIMAL but since it is asking for the exact form the correct answer would be 3 √ 5
Step-by-step explanation: