Answer: An equation: d = 40r. 3. A tabulation of values. 4. A graph showing the relationship between time and distance. We have already used word sentences and equations to describe such relationships; in this chapter, we will deal with tabular and graphical representations.
Step-by-step explanation:
Hope this helps!
The sum of four consecutive integers is 390. Find the integers (Please show your work)
Answer:
The integers are 96, 97, 98, and 99
Step-by-step explanation:
first integer = x
second integer = x+1
third integer = x+2
fourth integer = x+3
(that what consecutive means, like 4, 5, 6, 7 are just adding 1 more each time
The sum (add them all up) is (=) 390 so
x+(x+1)+(x+2)+(x+3) = 390
4x+6=390
4x+6-6=390-6
4x=384
4x/4=384/4
x=96
x+1=97
x+2=98
x+3=99
The integers are 96, 97, 98, and 99
Find three consecutive odd integers whose sum is -255
Answer:
Step-by-step explanation:
If the sum of three consecutive odd integers is 255, then the three integers are 83, 85, and 87.
Jonathon has a collection of coins worth a total of $10.75. If he has one-fourth as many dimes as pennies, and two-thirds as many dimes as nickels, how many of each coin does Jonathon have?
The number of dimes, pennies and nickels are required.
The number of dimes is 50, pennies is 200 and nickels is 75.
Let the number of dimes be [tex]x[/tex]
From the question the number of dimes is one-fourth the number of pennies and two-thirds the number of nickels.
So,
The number of pennies is [tex]4x[/tex]
and number of nickels is [tex]\dfrac{3}{2}x[/tex]
1 nickel = 0.05$
1 penny = 0.01$
1 dime = 0.01$
Total value of the coins is $10.75
[tex]0.1x+0.05\times \dfrac{3}{2}x+0.01\times 4x=10.75\\\Rightarrow 0.215x=10.75\\\Rightarrow x=\dfrac{10.75}{0.215}\\\Rightarrow x=50[/tex]
The number of dimes is 50.
The number of pennies is [tex]4x=4\times50=200[/tex]
The number of nickels is [tex]\dfrac{3}{2}x=\dfrac{3}{2}\times50=75[/tex].
Learn more:
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Maddie is making pineapple punch for her birthday party. The recipe says you need 3 cups of pineapple juice for every 4 cups of ginger ale. If she uses 16 cups of ginger ale, how much pineapple juice will she need?
Answer:
12 cups of pineapple juice for 16 cups of ginger ale.
Step-by-step explanation:
4+4+4+4= 16
3+3+3+3= 12
f(x) =4 over x - 3
g(x) =x - 2 over x
(a) Express the inverse function f −1
in the form f ^-1 (x)
Step-by-step explanation:
[tex]f(x) = \frac{4}{x - 2} \\ g(x) = \frac{x - 2}{x} [/tex]
[tex] {f}^{ - 1} (x) ... \\ x = \frac{4}{y - 2} \\ y - 2 = \frac{4}{x} \\ {f}^{ - 1} (x) = \frac{4}{x} + 2[/tex]
[tex] {g}^{ - 1} (x)... \\ x = \frac{y - 2}{y} \\ xy = y - 2 \\ xy - y = - 2 \\ y(x - 1) = - 2 \\ {g}^{ - 1} (x) = \frac{ - 2}{x - 1} [/tex]
If 5(1 - 2x) + 25 = 0, then x =
A. 20
B. 15
C. 3
D.-3
Answer:
C
Step-by-step explanation:
5-10x+25=0
5+25=10x
30=10x
x=3
Simplify the ratio. Use values in terms of the smaller measurement units.
6 feet to 80 inches
Step-by-step explanation:
1 ft = 12 in
=>
6 ft = 12×6 = 72 in
so, the given ratio is
6 ft / 80 in = 72 in / 80 in = 9/10 in
A contractor bought 10.8 ft2 of sheet metal. has used 3.5 ft2 so far and has 146$ worth of sheet metal remaining. The equation 10.8x-3.5x=146 represents how much sheet metal is remaining and the cost of the remaining amount. How much does sheet metal cost per square foot?
Answer:
A contractor bought 10.8 ft2 of sheet metal. has used 3.5 ft2 so far and has 146$ worth of sheet metal remaining. The equation 10.8x-3.5x=146 represents how much sheet metal is remaining and the cost of the remaining amount. How much does sheet metal cost per square foot?
Brainliest Question!!
Q1.) 5929 students are sitting in an auditorium in such a manner that there as are many students in a row as there are rows in the auditorium. How many rowsare there in the auditorium?
Answer:
77 rows
Explanation:As per the provided information in the given question, we have :
Total number of students sitting in the auditorium = 5929 studentsThere are as many students in a row as there are rows in the auditorium.We've been asked to calculate the number of rows in the auditorium.
Let us suppose the the number of rows be x. Then, the number of number of students in each row becomes x as there are as many students in a row as there are rows in the auditorium.
Now, we have to simply frame a linear equation to tackle this question. Total number of the students will be equal to the product of number of students in each row and the number of rows.
Writing it in the form of a linear equation,
[tex] \longrightarrow \sf{\quad {5929 = x \times x}} \\ [/tex]
As there are 5929 students sitting in the auditorium.[tex] \longrightarrow \sf{\quad {5929 = x^2}} \\ [/tex]
Now, put the square root symbol on both sides.[tex] \longrightarrow \sf{\quad {\sqrt{5929} = \sqrt{x^2}}} \\ [/tex]
Square root of x² is x since x × x is x².[tex] \longrightarrow \sf{\quad {\sqrt{5929} = x }} \\ [/tex]
Now, we have to find the value of √5929. By prime factorisation, 5929 = 7 × 7 × 11 × 11, make the pairs of the common factors and their product will be the square root of 5929 that is √5929 = 7 × 11 = 77.
[tex] \longrightarrow \quad\underline{\boxed{ \pmb{\frak{77 = x}} }} \\ [/tex]
Therefore, there are 77 rows in the auditorium.
Juan drove to the shore and traveled 32 km in 2 hours. He stopped for 8 hours and contained driving 60 km arriving at his destination in 4 hours. What is his average speed?
Answer:
Step 1: The formula for distance is
Distance = Rate × Time
Total distance = 32 × 3 + 60 × 4 = 624
Step 2: Total time = 2 + 4 = 6
Step 3: Using the formula:
average speed formula
624/6 = 104
Step-by-step explanation:
Hey i need help can sb help me please
Answer:
5 1/3 + 9 2/3
Step-by-step explanation:
A number minus a negative number will be the same thing as addition
There were ten tables with the same amount of chairs around it in the cafeteria. There were 5 more chairs lined up against the wall. There were 65 chairs in all. How many chairs were at each table?
Answer:
The answer is 325
Step-by-step explanation:
hope it helps<333
Answer: there were 6 chairs
Step-by-step explanation: 10x + 5 = 65
How many yards for 15 uniforms?
Answer: For fabrics with a nap and/or one-way designs, add 1/4 yard for each yard specified. For plaids, add the length of one plaid repeat for each yard specified.
Step-by-step explanation:
Item 3
What is the value of the expression 3.2x−2y+1.7z when x=2, y=−0.6 , and z=−4 ?
1.6
0.8
−1.6
I don't know.
Answer:
0.8
Hope this Helps
Answer:
0.8
Step-by-step explanation:
I toke the quiz.
Can someone please tell me is it correct?
Answer:
It is correct :)
Step-by-step explanation:
Write 5x−y=14 in slope-intercept form.
Answer:
y=5x-14
Step-by-step explanation:
please help me~~......
Step-by-step explanation:
vyo yesko solutions yeti matra xa
help me please!
-3+|x-2| > 5
Answer:
x<-6 or x>10
Step-by-step explanation:
-3+|x-2|>5
add 3 to both sides
|x-2|>8
x-2>8
x>10
There are 2 answers because it is absolute value.
It can't be 10, so the only other option is -6.
|x-2|>8
|-6-2|=8
|-8|=8
Apply absolute rule. If |u| > a, u < -a
because one of the answers is -6, it has to be x<-6
Solve -2 < 2x + 4 < 12 for x
Answer:
[tex]-3<x<4[/tex]
Step-by-step explanation:
[tex]-2<2x+4<12[/tex]
We want to isolate [tex]x[/tex].
Subtract 4 from all sides:
[tex]-2-4<2x+4-4<12-4[/tex]
[tex]-6<2x<8[/tex]
Divide all sides by 2:
[tex]\frac{-6}{2} <\frac{2x}{2} <\frac{8}{2}[/tex]
[tex]-3<x<4[/tex]
Hope this helped.
HELP! Work out the question below.
Step-by-step explanation:
area of circle = πr²
radius ² = 9.15 = 83.72 (approx.)
now,
→ 22/7 × 83.72
→ 22 × 11.96 = 263.02 m²
therefore, area the centre circle is 263.02 according to nearest circle the area is 263 m².
hope this answer helps you dear..take care and may u have a great day ahead!
A hiker is 15 feet above sea level. A diver is 11 feet below sea level .What is the distance between them?
Answer:
15-11=4 feet
Step-by-step explanation:
A carton measures 200 cm by 100 cm by 100 cm.
The carton is to be completely filled with boxes.
Each box measures 50 cm by 20 cm by 20 cm.
Work out the number of boxes which can completely fill the carton.
Answer:
the answer is below
Step-by-step explanation:
multiply like this
L×b×hHelp me please I will give your brainliest
Answer:
1. not
2. repeats
3. problem
I think those are the answer to fill in the blank unless there is a word bank that you might have forgot to post.
Step-by-step explanation:
Answer:
1. ends
2. repeatedly continues
3.problem solving
How can I reflect this horizontally without a value for h?
Answer:
Another transformation that can be applied to a function is a reflection over the x– or y-axis. A vertical reflection reflects a graph vertically across the x-axis, while a horizontal reflection reflects a graph horizontally across the y-axis. The reflections are shown in Figure 9.
Graph of the vertical and horizontal reflection of a function.
Figure 9. Vertical and horizontal reflections of a function.
Notice that the vertical reflection produces a new graph that is a mirror image of the base or original graph about the x-axis. The horizontal reflection produces a new graph that is a mirror image of the base or original graph about the y-axis.
A GENERAL NOTE: REFLECTIONS
Given a function \displaystyle f\left(x\right)f(x), a new function \displaystyle g\left(x\right)=-f\left(x\right)g(x)=−f(x) is a vertical reflection of the function \displaystyle f\left(x\right)f(x), sometimes called a reflection about (or over, or through) the x-axis.
Given a function \displaystyle f\left(x\right)f(x), a new function \displaystyle g\left(x\right)=f\left(-x\right)g(x)=f(−x) is a horizontal reflection of the function \displaystyle f\left(x\right)f(x), sometimes called a reflection about the y-axis.
HOW TO: GIVEN A FUNCTION, REFLECT THE GRAPH BOTH VERTICALLY AND HORIZONTALLY.
Multiply all outputs by –1 for a vertical reflection. The new graph is a reflection of the original graph about the x-axis.
Multiply all inputs by –1 for a horizontal reflection. The new graph is a reflection of the original graph about the y-axis.
EXAMPLE 7: REFLECTING A GRAPH HORIZONTALLY AND VERTICALLY
Reflect the graph of \displaystyle s\left(t\right)=\sqrt{t}s(t)=√
t
(a) vertically and (b) horizontally.
SOLUTION
a. Reflecting the graph vertically means that each output value will be reflected over the horizontal t-axis as shown in Figure 10.
Graph of the vertical reflection of the square root function.
Figure 10. Vertical reflection of the square root function
Because each output value is the opposite of the original output value, we can write
\displaystyle V\left(t\right)=-s\left(t\right)\text{ or }V\left(t\right)=-\sqrt{t}V(t)=−s(t) or V(t)=−√
t
Notice that this is an outside change, or vertical shift, that affects the output \displaystyle s\left(t\right)s(t) values, so the negative sign belongs outside of the function.
b.
Reflecting horizontally means that each input value will be reflected over the vertical axis as shown in Figure 11.
Graph of the horizontal reflection of the square root function.
Figure 11. Horizontal reflection of the square root function
Because each input value is the opposite of the original input value, we can write
\displaystyle H\left(t\right)=s\left(-t\right)\text{ or }H\left(t\right)=\sqrt{-t}H(t)=s(−t) or H(t)=√
−t
Notice that this is an inside change or horizontal change that affects the input values, so the negative sign is on the inside of the function.
Note that these transformations can affect the domain and range of the functions. While the original square root function has domain \displaystyle \left[0,\infty \right)[0,∞) and range \displaystyle \left[0,\infty \right)[0,∞), the vertical reflection gives the \displaystyle V\left(t\right)V(t) function the range \displaystyle \left(-\infty ,0\right](−∞,0] and the horizontal reflection gives the \displaystyle H\left(t\right)H(t) function the domain \displaystyle \left(-\infty ,0\right](−∞,0].
TRY IT 2
Reflect the graph of \displaystyle f\left(x\right)=|x - 1|f(x)=∣x−1∣ (a) vertically and (b) horizontally.
Solution
EXAMPLE 8: REFLECTING A TABULAR FUNCTION HORIZONTALLY AND VERTICALLY
A function \displaystyle f\left(x\right)f(x) is given. Create a table for the functions below.
\displaystyle g\left(x\right)=-f\left(x\right)g(x)=−f(x)
\displaystyle h\left(x\right)=f\left(-x\right)h(x)=f(−x)
\displaystyle xx 2 4 6 8
\displaystyle f\left(x\right)f(x) 1 3 7 11
SOLUTION
For \displaystyle g\left(x\right)g(x), the negative sign outside the function indicates a vertical reflection, so the x-values stay the same and each output value will be the opposite of the original output value.
\displaystyle xx 2 4 6 8
\displaystyle g\left(x\right)g(x) –1 –3 –7 –11
For \displaystyle h\left(x\right)h(x), the negative sign inside the function indicates a horizontal reflection, so each input value will be the opposite of the original input value and the \displaystyle h\left(x\right)h(x) values stay the same as the \displaystyle f\left(x\right)f(x) values.
\displaystyle xx −2 −4 −6 −8
\displaystyle h\left(x\right)h(x) 1 3 7 11
TRY IT 3
\displaystyle xx −2 0 2 4
\displaystyle f\left(x\right)f(x) 5 10 15 20
Using the function \displaystyle f\left(x\right)f(x) given in the table above, create a table for the functions below.
a. \displaystyle g\left(x\right)=-f\left(x\right)g(x)=−f(x)
b. \displaystyle h\left(x\right)=f\left(-x\right)h(x)=f(−x)
I dont really understand this question
Answer:
B
Step-by-step explanation:
Answer:
A. A worker with 1700 hours of training is paid $40 per month
Step-by-step explanation:
Given : the table of hours of training and monthly pay
To find : meaning of h(40)=1700
Answer : here 40 is given under hours of training and 1700 is given under monthly pay.
So, h(40)=1700 means the workers with 40 hours of training is paid $1700 every month
Cross products: what’s the value of the cross product?
Can someone please tell me the answer to this
Answer:
x equals to 5
jist cross multiply
i dont know the answer what is 2+2=
Answer: 4
Step-by-step explanation:
2 + 2 = 4 or II+II=IIII
Make sense?
Answer:
2+2=4
Step-by-step explanation:
That is like the easiest math problem ever .
Write the equation of a line perpendicular to the line 2x + 3y = 12 and passes through (9, -2). (fractions go in one box - use lower case letters)
Answer:
Step-by-step explanation:
Write the equation of the line perpendicular to 2x-3y=12 that passes through the point (16,-7)
Rewrite the equation as y = (2/3)x - 4 This has slope 2/3
A perpendicular line will have slope -3/2 so the equation of a perpendicuar line is y = -(3/2)x + c where c is a constant found from the fact that the line must go through point (16, -7).
-7 = -(3/2).16 + c
c = 24 - 7
c = 17
Hence perpendicular line has equation y = -(3/2)x + 17
State whether the lines are parallel, perpendicular, coinciding, or neither: y=2.5x+3 and y=5/2x
Answer:
gok jhtgrfedcfrgtyhu57i86i8ujyhg
Step-by-step explanation:
Solve for x
will give brainliest and 5.0 star
Answer:
x = 10
Step-by-step explanation:
1. Because this is a right angle (an angle with 90°), 54 + 3x + 6 = 90.
2. (Solving equation above)
Step 1: Simplify both sides of the equation.
[tex](3x)+(54+6)=90[/tex] [tex]3x + 60 = 90[/tex]Step 2: Subtract 60 from both sides.
[tex]3x + 60 - 60 = 90 - 60[/tex] [tex]3x = 30[/tex]Step 3: Divide both sides by 3.
[tex]\frac{3x}{3} =\frac{30}{3}[/tex] [tex]x = 10[/tex]Step 4: Check if solution is correct.
[tex]54 + 3(10)+6=90[/tex] [tex]54+30+6=90[/tex] [tex]84+6=90[/tex] [tex]90=90[/tex]Therefore, x = 10.