Let's think of this like a point. We know the y-value, but not the x-value. Therefore, in order to find b, we should plug in our known y-value, 19, for r(x).
19 = 2b + 1 || We can leave it as x in our equation or change it to b. Either way you will get the same answer. I changed it to b in this case just to follow through with what the question is asking.
18 = 2b
b = 9
Hope this helps!! :)
Answer:
9
Step-by-step explanation:
They are asking what value of x can you input into 2x+1 so that the outpot is 19.
In other words, you need to solve 2x+1=19.
Subtracting 1 on both sides gives: 2x=18.
Dividing 2 on both sides gives: x=9.
So r(9)=19 since 2(9)+1 is 19.
If using the method of completing the square to solve the quadratic equation
x² – 8x
1= 0, which number would have to be added to "complete the
square"?
You add half of the coefficient of x and square it.
What you do on one side,you must do it on the other.
Determine whether each expression is equivalent to 10^t^2+2t-3
All answer choices are equivalent
All the expressions given in option is equivalent to the expression
([tex]10^{t^{2}+2t-3 }[/tex])
What is an expression?An expression in maths, a sentence with a minimum of two numbers or variables and at least one maths operation. This maths operation can be addition, subtraction, multiplication, or division.
Given is an expression, ([tex]10^{t^{2}+2t-3 }[/tex])
We know, when equal base get multiplied with different powers, the power get added and in case of division they get subtracted,
([tex]10^{t^{2}+2t-3 }[/tex]) = [tex]10^{t^{2} }[/tex]x[tex]10^{2t}[/tex]x[tex]10^{-3}[/tex]
[tex]10^{t^{2} }[/tex]x[tex]10^{2t}[/tex]x[tex]10^{-3}[/tex] = [tex]\frac{10^{t^{2} +2t } }{1000}[/tex]
When we factorize, t²+2t-3, we get,
t²+2t-3 = (t+3)(t-1)
Therefore, ([tex]10^{t^{2}+2t-3 }[/tex]) = [tex]10^{t^{2} }[/tex]x[tex]10^{2t}[/tex]x[tex]10^{-3}[/tex] = [tex]\frac{10^{t^{2} +2t } }{1000}[/tex] = [tex]10^{(t+3)(t-1)}[/tex]
Hence, we can say that, All the expressions given in option is equivalent to the expression ([tex]10^{t^{2}+2t-3 }[/tex])
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Amelia needs to buy some dog food. At the nearest store, 2 bags of dog food cost $7.50. How much would Amelia spend on 5 bags of dog food?
Answer: $18.75
Step-by-step explanation: Each bag cost $3.75 individually.
HELPPPPPPPPPPPPPPPPPPP I’LL MARK YOU BRAINLIST SHOW WORK
Answer:
(-1,-1)
Step-by-step explanation:
From the diagram you can see that the two equation crossed each other at this point
The cost to rent a bicycle is $20.00 plus $2.65 per hour that the bicycle is checked out. What is the minimum number of hours a bicycle can be rented if a tourist can spend more than $37.00 but less than $65.00 on the rental? Round your answer to the nearest whole hour that satisfies the inequality.
Answer:
7 hours
Step-by-step explanation:
Rental cost :
Fixed pay = $20
Hourly cost = 2.65
To obtain the minimum rental hour, we work with the least amount that can be spent ;
For tourist that can spend more than $37 but less than $65
Total cost of rental :
20 + 2.65h ; h = number of hours
When total cost > 37
20 + 2.65h > 37
2.65h > 37 - 20
2.65h > 17
h > 6.415
Hence, the minimum whole hour of bicycke rental is 7 hours
Write an equation that represents the line.
Use exact numbers.
ting sio
Answer:
y = 3/4x + 2
Step-by-step explanation:
By looking at the graph, we can easily see that the y-intercept (where the line passes through y) is 2. In the equation y = mx + b. B is the y-intercept. So at the moment, we have, y = mx + 2. Now to find the slope which will take place over "m" all we need is the rise over run. To get this we will look at the points provided, count up the amount to get to the next point above then count to left/right to the point. For this we count up 3 points and 4 points to the right. So we finally get y = 3/4x + 2.
(3/4 = 0.75 if decimal is needed)
graph (-5,0) (9,0) (8,-39)
Answer:
just plot the coordinates down on graph and then u'll have them graphed
Step-by-step explanation:
I don't know I'm too lazy 2 put an explanation
The diagonal of a rectangle is 25 in. The width is 15 in. What is the area of the rectangle
I NEED HELP RIGHT NOW PLEASE!!!!!
NO LINKS
Answer:
48
Step-by-step explanation:
The blank would be 48 because 3 times 4 is 12. 12 times 4 is 48. And 48 times 4 would be 192
Amy is packing up 434 books to ship a customer. She can fit 8 books in each box. How manky boxes will Amy need to use to ship the the entire order
Answer:
55
Step-by-step explanation:
the real answer would be 54.25 but you have to round
Step-by-step explanation:
434/8= 54.25
We can't have a decimal of a box, so,
55 boxes
Match each series with the equivalent series written in sigma notation
Answer:
[tex]3 + 12 + 48 + 192 + 768 = \sum\limits^4_{n=0} 3 * 4^n[/tex]
[tex]4 + 32 + 256 + 2048 + 16384 = \sum\limits^4_{n=0} 4 * 8^n[/tex]
[tex]2 + 6 + 18 + 54 + 162 = \sum\limits^4_{n=0} 2* 3^n[/tex]
[tex]3 + 15 + 75 + 375 + 1875 = \sum\limits^4_{n=0} 3* 5^n[/tex]
Step-by-step explanation:
Given
See attachment for complete question
Required
Match equivalent expressions
Solving (a):
[tex]3 + 12 + 48 + 192 + 768[/tex]
The expression can be written as:
[tex]3 \to 3*4^{0[/tex] --- 0
[tex]12 \to 3 * 4^{1[/tex] ---- 1
[tex]48 \to 3 * 4^{2[/tex] --- 2
[tex]192 \to 3 * 4^{3[/tex] ---- 3
[tex]768 \to 3 * 4^{4[/tex] ---- 4
For the nth term, the expression is:
[tex]Term = 3 * 4^{n[/tex] ---- n
So, the summation is:
[tex]3 + 12 + 48 + 192 + 768 = \sum\limits^4_{n=0} 3 * 4^n[/tex]
Solving (b):
[tex]4 + 32 + 256 + 2048 + 16384[/tex]
The expression can be written as:
[tex]4 \to 4 * 8^0[/tex] --- 0
[tex]32 \to 4 * 8^1[/tex] ---- 1
[tex]256 \to 4 * 8^2[/tex] --- 2
[tex]2048 \to 4 * 8^3[/tex] ---- 3
[tex]16384 \to 4 * 8^4[/tex] ---- 4
For the nth term, the expression is:
[tex]Term \to 4 * 8^n[/tex] ---- n
So, the summation is:
[tex]4 + 32 + 256 + 2048 + 16384 = \sum\limits^4_{n=0} 4 * 8^n[/tex]
Solving (c):
[tex]2 + 6 + 18 + 54 + 162[/tex]
The expression can be written as:
[tex]2 \to 2 * 3^0[/tex] --- 0
[tex]6 \to 2 * 3^1[/tex] ---- 1
[tex]18 \to 2 * 3^2[/tex] --- 2
[tex]54 \to 2 * 3^3[/tex] ---- 3
[tex]162 \to 2 * 3^4[/tex] ---- 4
For the nth term, the expression is:
[tex]Term \to 2 * 3^n[/tex] ---- n
So, the summation is:
[tex]2 + 6 + 18 + 54 + 162 = \sum\limits^4_{n=0} 2* 3^n[/tex]
Solving (d):
[tex]3 + 15 + 75 + 375 + 1875[/tex]
The expression can be written as:
[tex]3 \to 3 * 5^0[/tex] --- 0
[tex]15 \to 3 * 5^1[/tex] ---- 1
[tex]75 \to 3 * 5^2[/tex] --- 2
[tex]375 \to 3 * 5^3[/tex] ---- 3
[tex]1875 \to 3 * 5^4[/tex] ---- 4
For the nth term, the expression is:
[tex]Term \to 3 * 5^n[/tex] ---- n
So, the summation is:
[tex]3 + 15 + 75 + 375 + 1875 = \sum\limits^4_{n=0} 3* 5^n[/tex]
Find the surface area. 10 ft 3 ft 5ft
Answer:
5.7 feet i think
Step-by-step explanation:
What number makes the expressions equivalent?
12(−1.4+0.4)=?+0.2
1
2
(
-
1
.
4
m
+
0
.
4
)
=
?
m
+
0
.
2
–1.4
1.4
–0.7
0.7
Answer:
-11,8 or 11,8........both are correct
a person jogs 1/6 mile in 1/42 hour. what is the person's speed in miles per hour
If Uber charges a $4.15 pickup fee plus $1.12 per mile, which equation can be used to calculate the cost of a ride of
x
x miles?
Answer:
4.15+1.12x
Step-by-step explanation:
So lets go over what we know.
The cost of a pickup is 4.15 dollars.
The cost of the pickup fee increases by 1.12 dollars per mile.
So when we start off, it will orginate as 4.15 dollars.
We know that this price is going to be increased by the other value, so we can write it as:
4.15+
We know that for each mile, this price goes up by 1.12.
If we went 10 miles, for instance, it would be 1.12 10 times, or 11.2 dollars.
So we know that thr 4.15 will be increased by 1.12 times the amount of miles.
Or:
4.15+1.12*m
=
4.15+1.12m.
Hope this helps!
A shopkeeper earns a profit of Rs. 1 by selling a pencil and a loss of 20 paisa by selling an eraser. In a given day he had a loss of Rs. 10. On this day, he sold 35 pencils. How many erasers were sold on this day
Given :
A shopkeeper earns a profit of Rs. 1 by selling a pencil and a loss of 20 paisa by selling an eraser.
To Find :
In a given day he had a loss of Rs. 10. On this day, he sold 35 pencils. How many erasers were sold on this day.
Solution :
Money earned by selling 35 pencils.
P = 35 × 1 = Rs 35 .
Now, it is given that he had a loss of Rs 10 .
Therefore, amount of loss done by money is :
E = 35 + 10
E = Rs 45
Now, number of erase sold :
[tex]n = \dfrac{E}{0.2}\\\\n = \dfrac{45}{0.2}\\\\n = 225\ erasers[/tex]
Hence, this is the required solution.
If you live in a rectangular city that is 1 mile along the southern border and contains 1000 people, what is the density of people in the city?
Group of answer choices
A. We cannot calculate this value.
B. 1000 people per square mile
C. 1 person per square mile
D. 100 people per square mile
Answer:
A. We cannot calculate this value.
Step-by-step explanation:
Had it on my test c:
We cannot calculate this value because the width is not given so we cannot find the area of the region option (A) is correct.
What is population density?It is defined as the ratio of the population to the total area. The population density represents the average number of people living on each square unit.
We have:
If you live in a rectangular city that is 1 mile along the southern border and contains 1000 people,
As we know,
population density = number of people/area of the region
As we have a rectangular city,
The area of the city = length×width
Width is not given so we cannot find the area of the region.
Thus, we cannot calculate this value because the width is not given so we cannot find the area of the region option (A) is correct.
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Gavin needs to fill the fish tank below with water. The directions state that the water level should be 2 inches below the top of the tank. Write an expression to show the volume of water Gavin needs to fill the tank according to the directions.
Answer:
See explanation
Step-by-step explanation:
The question is incomplete; So, I will solve the question generally.
Assume the following;
[tex]l \to length[/tex]
[tex]w \to width[/tex]
[tex]h \to height[/tex]
Since the water level must be 2 inches below the tank height, the water height is:
[tex]H \to h - 2[/tex]
So, the water volume is:
[tex]Volume = l * w * H[/tex]
[tex]Volume = l * w * (h - 2)[/tex]
Hence, the expression is:
[tex]Volume = l * w * (h - 2)[/tex]
Assume that:
[tex]l = 5; w = 10; h = 8[/tex]
The volume becomes:
[tex]Volume = 5 * 10 * (8 - 2)[/tex]
[tex]Volume = 5 * 10 * 6[/tex]
[tex]Volume = 300[/tex] cubic units
Austin’s monthly gross pay is $4,200. Federal withholding is 16.05% of his pay. His other deductions total $321.30. What is his net pay.
Answer:
[tex]gross \ pay = 4200\\\\federal \ deduction = \frac{16.05}{100} \times 4200 = 674.10\\\\Net \ pay = 4200 - 674.10 -321.30= 3204.60[/tex]
out of 2 billion person trips, 75 percent were leisure travel. what was the number of person trips for leisure travel?
The number of personal trips for leisure travel will be equal to 1.5 billion.
What is the percentage?The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that out of 2 billion person trips, 75 per cent were leisure travel.
The number of the person trips will be calculated as,
N = ( 2 x 75 ) / 100
N = 150 / 100
N = 1.5 Billion
Therefore, the number of personal trips for leisure travel will be equal to 1.5 billion.
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What is the 46th term of the arithmetic sequence shown below? -1,-5,-9,-13,-17,-21,...
Answer:
-181
Step-by-step explanation:
According to the arithmetic calculator, it should be this.
✰ ☆
(Only if you are right obviously)
Which beliefs do most Christians hold
A. there are many different gods
B. non-jews cannot become Christians
C. Jesus was the son of God
D. Christians should not perform rituals
Find the value of y when x=3.
y=10-3x
y=
Answer:
10
Step-by-step explanation:
PLEASE HELP ME!! I APPRECIATE IT
Answer:
C
Step-by-step explanation:
For a going-out-of-business sale, a jewelry shop owner
marks all of the store's merchandise 50% off. The price
tag on a necklace indicates that it is an additional 20%
off the sale price. If the original price of the necklace was
$600, what will it cost after the discounts?
Answer:420
Step-by-step explanation:
600 x 0.70 is 420. so 600 minus 420 is 180
simplify 5t + 8t - 12t (with explaining the steps)
Answer:
Hello There!!
Step-by-step explanation:
Combine like terms:
•5t+8t-12t
•5t+8t=13t
•13t-12t=1t
•1t=t
hope this helps,have a great day!!
~Pinky~
Answer:
T
Step-by-step explanation:
See the steps below:)
Please help out I can’t really love this
========================================================
Explanation:
When we divide two fractions like this, we flip the second fraction and multiply like so...
[tex]\frac{5}{7} \div \frac{8}{9}\\\\\frac{5}{7} \times \frac{9}{8}\\\\\frac{5 \times 9}{7 \times 8}\\\\\frac{45}{56}\\\\[/tex]
which points us to choice B as the answer.
The fraction 45/56 cannot be reduced further because 45 and 56 do not have any factors in common other than 1.
Answer:
45/56
Step-by-step explanation:
5/7 ÷ 8/9
Copy dot flip
5/7 * 9/8
5*9 =45
7*8 = 56
45/56
Is the ordered pair (5,-6) a solution of the following system of linear equations?
6x + 3y = 12
4x + y = 14
A) No, the ordered pair is not a solution.
B) Yes, the ordered pair is a solution.
i put 10 points please help me with this
Answer: X=6 Y=4
x+y= 10
6+4=10
x-y=2
6-4=2
Answer:
x=6
y=4
Step-by-step explanation:
Use an elimination method:
add equation 1 and 2 together.
2x = 12
divide both side by 2
x = 12/2
x = 6
use equal 1,
x + y = 10
y = 10 - x
y = 10 - 6
y = 4
What is the surface area, in square centimeters, of the square pyramid?
Winner gets brainliest!!!!!!!!!
1. 27
2. 56
3. 40
4. 80
Answer:
2.) 56
Step-by-step explanation:
(5 x 4) ÷ 2 = 10
10 x 4 = 40
4 x 4 = 16
40 + 16 = 56