Step-by-step explanation:
A(n)=-8+(n-1)(4)
A(1)=-8
A(5)=-8+16
=8
A(10)=-8+36
=18
A rectangular enclosure at the zoo is 35 feet long by 18 feet wide. The zoo wants to double the area of the enclosure by adding the same distance x to the length and width. Write and solve an equation to find the value of x. What are the dimensions of the enclosure?
Answer:
the value of x is 10
Step-by-step explanation:
The new length is 35+10=45 and the new width is 18+10=28.
What is Area of Rectangle?Area of rectangle is length times of breadth.
Given that enclosure at the zoo is 35 feet long by 18 feet wide. It means length is 35 feet and width is 18 feet.
Area of Rectangle=Length × Width
=35×18
=630
The zoo wants to double the area of the enclosure by adding the same distance x to the length and width.
(35+x)×(18+x)=1260
630+35x+18x+x2=1260
x2+53x+630-1260=0
x2+53x-630
Now use the quadratic formula we get
x=10.
The new length is 35+10=45
The new width is 18+10=28.
Hence the new length is 35+10=45 and the new width is 18+10=28.
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8. What is the solution of the equation 4x + 12 = 48 ?
a) x= 9
b) x= 15
c) x= 144
d) x= 240
Answer:
A) x=9
Step-by-step explanation:
48-12=36.
36/4=9
More detailed explanation:
4x+12=48
-12 -12
4x = 36
/4 /4
x = 9
The solution of the equation is, x = 9.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The equation is,
⇒ 4x + 12 = 48
Now, We can solve the equation for value of x as;
⇒ 4x + 12 = 48
Subtract 12 both side, we get;
⇒ 4x + 12 - 12 = 48 - 12
⇒ 4x = 36
Divide by 4;
⇒ 4x/4 = 36/4
⇒ x = 9
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y = -x + 2 identify the slope and y intercept and graph
Answer:
The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.
Answer:A rule for a function can be written by analyzing a graph. Using slope-intercept form, standard form, and point-slope form, functions can be written from a given graph.
To write a function in slope-intercept form given a graph, determine the slope and y-intercept of the graph and then substitute these values into the formula y = mx + b. If it is not possible to determine the y-intercept from the graph, determine a different point, substitute it into the equation and solve for b.
Example Find the function rule for the graph using the slope-intercept form.Step 1. Choose any two points to find slope. (-3, 1) & (3, -3) Find the value of the y-intercept.Step 3. Substitute the m and b values into y = mx + b to create the function rule.
Step-by-step explanation:
Help please? *worried noises*
⚠️⚠️WHATS THE EQUATIONS (Y=Mx+B)⚠️⚠️
Answer:
Y=-5/4+20
Step-by-step explanation:
8
Solve each of the equations below and classify them based on their solution.
DRAG & DROP THE ANSWER
No Solution
-82-30 = -112
One Solution
by = -6y - 12
-32 = 8 - 2
- 5n = 3 - 5n
Infinitely many Solution
SHOW HINT
Answer:
is this helpful or do i need to add more because this is all i could figure out :/
Step-by-step explanation:
one solution = -82 - 30=- 112
many solution = 6y - 12
no solution = -5n = 3 - 5n
infinite solution = -32 = 8 - 2
hope this helps
The legend on a map states that
1 inch is 200 miles. If you measure
11 inches on the map, how many
miles would the actual distance be?
Actual distance = [? ] miles
Can someone please help me cause i am so confused
Answer:
Ya dig?
Step-by-step explanation: You gon choose me baby.
would you rather have an airbag that stopped your head in 0.25 seconds or in 0.50 seconds and why
Answer:
I would rather have it stop at 0.50 seconds.
Step-by-step explanation:
I would rather have it stop at 0.50 seconds. So I can have time to get over my nervous.
What is 5/6 - 4/9 in Simplest form ?
Answer:
is it multiple choice?
Which point is on the graph of f(x)= 5^x
A. (1, 5)
B. (0, 0)
C. (5, 1)
D. (0, 5)
Answer:
B
beacuse f and x are f -5 and x 5
Evaluate: -1/4 + 17 + (4/5)+ 1/4 + 13 + (-4/5)
Answer:
30
Step-by-step explanation:
= -1/4 + 17 + (4/5)+ 1/4 + 13 + (-4/5) <-- Cancel out 1/4 to -1/4 and 4/5 to -4/5
= 17 + 13
= 30
A computer store buys a computer system at a cost of $572.40. The selling price was first at $954, but then the store advertised a 20% markdown on the system. Answer parts a and b.
Answer:
The sale price is $763.20
The price for club members is $610.56
The current selling price is $763.20, and the cost to members with an additional 10% reduced rate is $686.88.
What is a percentage?A percentage is a ratio or number that may be expressed as a fraction of one hundred. And the sign for it is "%."
Given, a computer store buys a computer system at a cost of $572.40.
And the selling price was first at $954, but then the store advertised a 20% markdown on the system.
To find the current sale price:
Current sales price;
use percentage formula,
= $954 - (20% × $954)
= $954 - (0.2 × $954)
= $954 - $190.80
= $763.20
To find the cost to club members at 10% additional reduced price:
use percentage formula,
= $763.20 - (10% × $763.20)
= $763.20 - (0.1 × $763.20)
= $763.20 - $76.32
= $686.88
Therefore, the current sale price is $763.20, and it will cost $686.88 to the members.
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what’s the slope for these two lines i need help for brainlist
Answer:
green line: y = 1x + 6
blue line: y = 1x + 3
Step-by-step explanation:
I did give an explanation her but someone deleted it. :(
15 (x – 1) + 4 ( x + 3 ) = 2 ( x + 9) + 4
Answer:
x=1.47
Step-by-step explanation:
15(x-1)+4(x+3)=2(x+9)+4
15x-15+4x+12=2x+18+4
19x-3=2x+22
17x=25
x=25/17
x=1.47
x=1.47
hope this helps
Two manufacturing teams are producing light bulbs. The tables show their production over 5 days. Team Red Production Team Blue Production Day Total Day Total 1 5 1 5 2 10 2 10 3 12 3 15 4 14 4 20 5 25 5 25 Which team has a constant rate of change? Explain your answer.
Answer:
Team Blue
Step-by-step explanation:
The reason this is, is because for each day that passes, they make 5 more light bulbs. This is in relation to the days that pass.
Is 90 a perfect cube
Answer:
No, the first ten perfect cubes are 1, 8, 27, 64, 125, 216, 343, 512, 729 and 1000.
Johnna has $440 in her savings account the first week. She deposits $65 in her account every week. How much money will Johnna have in her savings account in the 25th week?
she will have $2065 in her savings account after the 25th week.
Answer:
2,065
Step-by-step explanation:
First you need to figure out 65 times 25 because she puts $65 into her account every week so you need to multiply by 25 because you have to figure out how much money she will have on the 25th week so:
$65 * 25 = 1,625
then you need to add that to 440 because ahe still only has 440 in her account until now so, in conclusion, she has 2,065 because:
$65 * 25 = $1,625 + $440 = 2,065
I hope this helped! I am not very good at explaining.
Which of the following best explains why a complex number z = a + bi and its polar form represent the same number?
Answer:
C on Edge
Step-by-step explanation:
Edge2020
Answer:
C
Step-by-step explanation:
right on edge, hope this helps
what is 1/2 take away briefly what is 1/2 take away 3/8
Answer:
3/16
Step-by-step explanation:
so since there isnt a half of 3/8 we would multiply the number x2 so the number is 6/16 and half of that is 3/16 becuase 6 can be split in half
PLS HELP IM FAILING MY MATH CLASS
Would the answer of
-9/16+9/8
Be positive or negative? Explain why or why not.
This is a personal question!
Answer:
It would be positive
Step-by-step explanation:
To do anything with fractions you need to find a common denominator, in this case lets say its 128. the 9 in the negative side would need to be multiplied by 8 like it's denominator making it 72. You would do the same to the other fraction giving you the fractions -72/128 and 144/128 from here you add to get 72/128 which is positive
Answer:
positive
Step-by-step explanation:
-9/16= -0.5625
9/8= 1.125
-9/16+9/8= -0.5625 + 1.125(in the addition of opposite signs u should figure out the largest num and should substract the other numa nd assign the sign of the biggest nym)
=0.5625
the reason
+ * + = +
- * - = +
+ * - = -
+/+ =+
- / - = -
-/ + = -
+ / - = -
What is the value of x in the equation below?
10
T =
3
A 2
B.
C 5
10
NEED HELP ASAP, WILL MARK BRAINLIEST!!!
Answer:
7. -
a. 3.5 or 7/2 hours
b. 24.5
c. After 7 hours (and at the beginning when t=0)
8. -
a. 4 seconds
b. 1 second
c. 54 meters
Step-by-step explanation:
7. M(t)=-2t^2+14t
M’(t)=-4t+14
a)
-4t+14=0
4t=14
2t=7
t=7/2
b) M(7/2)=24.5
c)
M(t)=0
-2t^2+14t=0
t^2-7t=0
t(t-7)=0
t=0, 7
8.
a)
h(t)=0
-6t^2+12t+48=0
t^2-2t-8=0
(t-4)(t+2)=0
t=-2, 4
t=4
b)
h(t)=-6t^2+12t+48
h’(t)=-12t+12
h’(t)=0
-12t+12=0
12t=12
t=1
c) h(1)=54
I hope this helps; please vote brainliest!
I need the value of X
Answer:
x=18
Step-by-step explanation:
6x-3 and 75 are not equal to each other. If you look closer you can see that 75 is an acute angle making it less than 90 degrees and 6x-3 is an obtuse angle meaning it is bigger than 90 degrees. Therefore you add both 75 and 6x-3 to get 180 because 180 is equal to a straight line and an acute angle and an obtuse angle both form a straight angle when together. So your problem would be 75+(6x-3)=180
help i need help with this question.
-3y > 9 or 2y - 6> 2 plz solve the inequality
Answer:
y > 4
Step-by-step explanation:
if you are doing 2y-6 >2, firstly move the constant to the right to get 2y > 2+6. Then calculate the sides, you get 2y > 8. Divide both by 2 and get y > 4
Answer:
-3y>9= y<-3
2y-6>2=y>4
Which of the following expressions represents the product of a number and eight"?
8 x
8- X
X-8
X + 8
Answer:
8x
Step-by-step explanation:
PLEASE HELP!!!
Select all that apply. Which of the following statements are true of this equation? Select all that apply. 5 1/6 divided by 2 5/12 = 2 4/29
The dividend is 5 1/6
The divisor is 5 1/6
The dividend is second number in this equation.
The quotient is correct.
Step-by-step explanation:
the dividend divided by the divisor equals the quotient
The dividend is [tex]5\frac{1}{6}[/tex] and the divisor is [tex]2\frac{5}{12}[/tex] and the quotient is [tex]2\frac{4}{29}[/tex]. Therefore, option A is the correct answer.
The given equation is [tex]5\frac{1}{6}\div2\frac{5}{12} =2\frac{4}{29}[/tex].
What is the division?The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
Here,
[tex]5\frac{1}{6}\div2\frac{5}{12} =2\frac{4}{29}[/tex]
⇒ 31/6 ÷ 29/12 = 62/29
⇒ 31/6 × 12/29 = 62/29
⇒ 62/29 = 62/29
Here, the dividend = [tex]5\frac{1}{6}[/tex] and the divisor = [tex]2\frac{5}{12}[/tex] and the quotient = [tex]2\frac{4}{29}[/tex]
Therefore, option A is the correct answer.
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Which of the following ordered pairs make this equation true? Y = 2x - 7 A. (1,9) B. (-3, 4) C. (4,1) D. (-1, 5)
Answer:
(4,1)
Step-by-step explanation:
Using substitution you can determine that 2*4-7 is in fact equal to 1