Answers
With the pairs given in the table we can draw the line g(x), as follows:
In the above figure, we can see that f(x) = g(x) at the values of x = -1 and x = 3
Related Questions
How to write Two times the sum of y and 5 is 24
Then solve
Answers
Answer:
Step-by-step explanation:
2(y+5)=24
Solved answer: y=7
You’d first have to distribute the 2 into the parenthesis.
Then you’d have to isolate the 2y by moving the 10 on the other side of the equal sign.
Finally, divide by 2 on both sides to get rid of the 2y, making it just y.
Hope this helps!
Isaac is working two summer jobs, making $8 per hour walking dogs and making $16
per hour tutoring. In a given week, he can work a maximum of 8 total hours and must
earn no less than $80. If x represents the number of hours walking dogs and y
represents the number of hours tutoring, write and solve a system of inequalities
graphically and determine one possible solution.
Answers
Answer:
8 x 8 =64 + 16 x 8 = 128 =$192
Step-by-step explanation:
Whats the mean, median, and range?
Answers
Answer:
mean- 64.6, median-58, range- 124
Step-by-step explanation:
The mean is just adding all the numbers together and then dividing by how many numbers you just added together—in this case, adding up all the numbers equaled 711. Now, dividing it by 11 gives 64.6363636, but I just rounded it down.
The median is just lining up the numbers in numerical order and finding the one in the middle. Since there is an odd amount of numbers, 58 was right in the middle
The range is just subtracting the smallest number from the largest number. In this case, it was 137-13=124
Hope this helps! <3
all the edges of a cube are expanding at a rate of 4 in. per second. how fast is the volume changing when each edge is 10in. long?
Answers
The rate at which the volume of the cube is changing is 1200 in³/seconds.
What is volume?Volume is the space occupied by a solid object.
To calculate the rate at which the volume of the cube is changing, we use the formula below.
Formula:
dV/dt = (dL/dt)×(dV/dL)................ Equation 1Where:
dV/dt = Rate at which the volume of the cube is changing dL/dt = Rate at which the edge of the cube is expandingdV/dL = Change in the volume of the cube with respect to the edge.From the question,
Given:
dL/dt = 4 in. per secondsL = 10 inIf, the volume of a cube is V = L³,
Then,
dV/dL = 3L² = (3×10²) = 300 in²Substitute these values into equation 1
dV/dt = 4×300dV/dt = 1200 in³/secondsHence, the rate at which the volume is changing is 1200 in³/seconds.
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2+2
uhhh help plzzzzzz
Answers
Answer:
6
Step-by-step explanation:
4
Maria is studying the phenomenon of pyramid power. She has read that items placed inside pyramids show amazing properties. Maria is going to see if the pyramid phenomenon will work on her young plants. She will construct an all-glass pyramid as shown.
The pyramid is regular with a square base, and all eight edges are the same length. From the possible solutions below, which amount is the closest estimate of the amount of glass Maria will need to construct her pyramid?
a) 1935 cm squared
b) 3353 cm squared
c) 5289.25 cm squared
d) 8642.5 cm squared
Answers
The solution that is the closest estimate of the amount of glass Maria will need to construct her pyramid would be =5289.25 cm squared. That is option C.
How to calculate the area of a square based pyramid?To calculate the area of a square based pyramid, the formula that should be used would be given below as follows:
\(area = {a}^{2} + 2a \sqrt{ \frac{a2}{4} } + {h}^{2} \)
Where:
a= 44cm
height= 44²-22²= 38.1cm
Area= 44²+ 2(44) × √44²/4 + 38.1²
= 1936+88 × √ 484+1452
= 2024× √1936
= 5807.61 cm².
Therefore the closest estimate to the final answer would be 5289.25 cm squared
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Ian invested $90,000 in an account paying an interest rate of 2.6% compounded quarterly. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 7 years?
Answers
Answer:
A≈107902
Step-by-step explanation:
The $107,902 will be in account after 7 years if Ian invested $90,000 in an account paying an interest rate of 2.6% compounded quarterly
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
\(\rm A = P(1+\dfrac{r}{n})^{nt}\)
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
We have:
p = $90,000
r = 2.6% = 0.026
n = 4
t = 7 years
\(\rm A = 90,000(1+\dfrac{0.026}{4})^{4\times7}\)
A = $107,901.71 ≈ $107,902
Thus, the $107,902 will be in account after 7 years if Ian invested $90,000 in an account paying an interest rate of 2.6% compounded quarterly.
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5 ten thousands 8 thousands 3 hundreds 7 tens 4 ones in standard
Answers
Step-by-step explanation:
Just : 5,8374
Barry wants to buy a bicycle that originally costs $150. The bicycle is on sale for 1/4 off. How much money will the discount take off?* O $50.00 O $37.50 O $25.25
Answers
Answer:
37.50
Step-by-step explanation:
Find the Value of X.
Answers
The measure of the unknown sides is equivalent to 12.6
Circle geometry problemThe given figure is a circle geometry with the perpendicular lines intersecting both segments of the circle.
We need to determine the measure of x. Since the measure of the perpendicular lines are equal, hence the measure of the line of the segments will also be equal.
Hence:
x = 6.3 + 6.3
x = 12.6
Therefore the measure of x from the given diagram is equivalent to 12.6
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Use a geometric tool to draw a circle. Draw and measure a radius and a diameter of the circle .
Answers
Answer:
Attached is an example of a circle with a radius of 5 and a diameter of 10.
If this answer helped you, please leave a thanks or a Brainliest!!!
Have a GREAT day!!!
Please help giviing brainliest!!!
Answers
Answer:
2 1/2 x 3 1/2 x 7 = 61 1/4
Hope I helped a bit
Y=5x+3 graph the line
Answers
Answer:
The graph is in the pic
Step-by-step explanation:
The surface area of a cell phone screen is 11700 mm2. Use the fact that 10 mm = 1 cm to convert this area to cm2. Round your answer to the nearest whole number.
Answers
The surface area of a cell phone screen is 117 cm².
What is unit conversion?
Unit conversion is the process of converting a quantity expressed in one unit of measurement to an equivalent quantity expressed in another unit of measurement.
We can convert mm² to cm² by dividing the area in mm² by the square of the conversion factor, which is (10 mm / 1 cm) = 100 mm² / cm². Therefore, we have:
11700 mm² / (100 mm² / cm²) = 117 cm²
Rounding to the nearest whole number, we get 117 cm².
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The cash register subtracts $2.00 from a $10 Coffee Cafe gift card for every medium coffee the customer buys. Use the graph to write an equation in slope-intercept form to represent this situation.
Answers
The equation of the line in the slope-intercept form is: y = -2.00 x + 10.
The slope and provided point are both in the equation for the straight line.
The generic point (x, y) must satisfy the equation if we have a non-vertical land in a that passes through any point(x1, y1) has gradient m.
y-y₁ = m(x-x₁)
It is the necessary equation for a line in the form of a point-slope.
That gift card to the Coffee Café has been provided. = $10
Medium coffee = $2.00
customers
The quantity of coffees a consumer can purchase can be represented using a linear equation.
Slope formula
m = (8 - 10)/(1 - 0)
m = -2
Now consider the line's point-slope shape.
y-y₁ = m(x-x₁)
( y - 10) = -2.00 ( x - 0)
y = -2.00 x + 10
The slope: m = - 2.00
The equation of the line: y = -2.00 x + 10
The y-intercept is 10
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5.6.8 let f be a uniformly continuous function on a set e. show that if {xn} is a cauchy sequence in e then {f(xn)} is a cauchy sequence in f(e). show that this need not be true if f is continuous but not uniformly continuous.
Proof. (1): To prove {f(xn)} is a Cauchy sequence just need to prove ∀ > 0, ∃N, s.t.,∀n, m > N,
have |f(xn) − f(xm)| < . Since f is uniformly continuous on set E, thus ∀ > 0, ∃δ > 0, s.t.,
∀x, y ∈ E, if |x − y| < δ,then |f(x) − f(y)| < .as {xn} is a Cauchy sequence, then ∃N, s.t.,
∀n, m > N, |xn − xm| < δ, thus |f(xn) − f(xm)| < which proves {f(xn)} is a Cauchy sequence.
(2): for example f(x) = 1
x
, x ∈ (0, 2) which is continuous but not uniformly continuous. {
1
n
} is
a Cauchy sequence, however, {f(xn)} does not converge which proves that it is not a Cauchy
sequence.
Answers
Showing that this need not be true if f is continuous but not uniformly continuous.
Given :
let f be a uniformly continuous function on a set e. show that if {xn} is a cauchy sequence in e then {f(xn)} is a cauchy sequence in f(e).
( 1 )
If f is uniformly continuous on E, then given ε > 0 there is δ > 0 such that if x, y are in E and |x−y| < δ,
then |f(x) − f(y)| < ε. Let (xn) be a Cauchy sequence in E. Then given δ > 0 there is N such that if p, q > N,
then |xp − xq| < δ, and thus |f(xp) − f(xq)| < ε, implying that (f(xn)) is a Cauchy sequence.
( 2 )
Let E = {1, 1/2, 1/3, · · } and f(1/n) = 1 is n is odd, f(1/n) = −1 if
n is even. Then f is continuous but not uniformly continuous. The sequence (xn) = (1/n) in E is Cauchy but the
sequence (f(xn)) = (1, −1, 1, −1, · · ·) is not Cauchy.
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There were 24 dinner tables with 8 chairs at each table.Each dinner ticket cost $12.50. If 3/4 of thr dinner tables were full,how much money was raised from the dinner ticket sales?
Answers
we have the next information
24 dinner tables
each has 8 chairs
First we need to calculate 3/4 of the tables
24 mesas ----- 4/4=1
x ----- 3/4
x = the number of tabl
How do I find the possible degree(s) of a function from the graph alone?
Answers
Answer:
To determine the possible degree(s) of a function from the graph alone, you need to examine the behavior of the graph at the extremes (far left and far right) and consider the number of turning points or changes in direction. Here's a step-by-step approach:
Look at the far left side of the graph: Determine the behavior of the graph as it approaches negative infinity. Does the graph approach a specific value, such as a horizontal line (asymptote) or the x-axis? If the graph approaches a horizontal line, it suggests a polynomial function of even degree. If the graph approaches the x-axis, it indicates a polynomial function of odd degree or possibly a function with a root of multiplicity greater than one.
Look at the far right side of the graph: Determine the behavior of the graph as it approaches positive infinity. Similar to step 1, observe if the graph approaches a specific value or a horizontal line. The behavior at the far right side should be consistent with the behavior at the far left side. This can help you identify if the function is even or odd degree.
Examine the number of turning points or changes in direction: Count the number of times the graph changes direction. These points are where the slope of the graph changes from positive to negative or vice versa. The number of turning points can provide an indication of the degree of the polynomial. For example, if there are two turning points, it suggests a polynomial function of degree 3.
Remember that this method provides potential degrees, but it may not definitively determine the exact degree of the function. Additional information or analysis might be required for a more accurate determination.
(8b + 7) + (6x – 4) + (5C + 8)
Answers
Answer:
8b + 11 + 6x + 5c
Step-by-step explanation:
(8b + 7) + (6x – 4) + (5C + 8)
8b + 7 + 6x - 4 + 5c + 8
8b + 11 + 6x + 5c
Answer:=6x+8b+5C+11
Step-by-step explanation:
(8b+7) + (6x-4) + (5C+8)
Remove parentheses (a) = a
=8b+7+6x-4+5C+8
Group like terms
=6x+8b+5C+7-4+8
Add Subtract the numbers 7-4+8=11
=6x+8b+5C+11
I need help with this!
Answers
The length AC in the kite is 8.7 cm.
How to find the side AC in the kite?A kite is a quadrilateral that has two pairs of consecutive equal sides and
perpendicular diagonals. Therefore, let's find the length AC in the kite.
Hence, using Pythagoras's theorem, let's find CE.
Therefore,
7² - 4² = CE²
CE = √49 - 16
CE = √33
CE = √33
Let's find AE as follows:
5²- 4² = AE²
AE = √25 - 16
AE = √9
AE = 3 units
Therefore,
AC = √33 + 3
AC = 5.74456264654 + 3
AC = 8.74456264654
AC = 8.7 units
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What is the rate unit of running 4 miles in one hour?
A)hours
B)miles per hour
C)miles
B)4
Answers
Answer:
b
Step-by-step explanation:
Answer:
B)miles per hour
Step-by-step explanation:
The slope of a curve at each point (x,y) is given by 4x - 1. Which one of the following is an equation fo curve if it passes through the point (-2,3)? A) y = 4x^2 - x - 15 B) y = 2x^2 - x C)y=2r^2-r+7 D) y= 2x^2-1-7
Answers
The following is an equation fo curve if it passes through the point (-2,3) is y=2 x^2-x-7.
What is Slope?
A graph is a set of vertices—points—and edges—the lines connecting those vertices in discrete mathematics. Graphs come in a variety of forms, including connected and disconnected graphs, bipartite graphs, weighted graphs, directed and undirected graphs, and simple graphs.
Slope of the carne at (x, y) is 4 x-1
Let the curve is: y=2 x^2-x-7
\($$\begin{gathered}\text { Slope: } \frac{d y}{d x}=\frac{d}{d x}\left[2 x^2-x-7\right] \\\frac{d y}{d x}=4 x-1\end{gathered}$$\)
And passes Iowa's the point (-2,3).
\($$\begin{aligned}& y=2 x^2-x-7 \\& 3=2(-2)^2-(-2)-7 \\& 3=8+2-7 \\& 3=10-7 \\& 3=3\end{aligned}$$\)
Satisfied.
y=2 x^2-x-7
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From least to greatest, What are the x–coordinates of the three points where the graphs of the equations intersect? If approximate, enter values to the hundredths.
,
,
Answers
The x-coordinates where the graphs of the equations intersect are x = -1 and x = 3
How to determine the x-coordinates where the graphs of the equations intersect?From the question, we have the following parameters that can be used in our computation:
y = 2x
y = x² - 3
The x-coordinates where the graphs of the equations intersect is when both equations are equal
So, we have
x² - 3 = 2x
Rewrite the equation as
x² - 2x - 3 = 0
When the equation is factored, we have
(x + 1)(x - 3) = 0
So, we have
x = -1 and x = 3
Hence, the x-coordinates are x = -1 and x = 3
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Question
From least to greatest, What are the x–coordinates of the three points where the graphs of the equations intersect? If approximate, enter values to the hundredths.
y = 2x
y = x² - 3
Two boats started to move towards each other from two docks, located 30 miles apart. One boat moved at a speed of 2.5 miles per hour, the other moved twice as fast. How soon will the boats meet?
Answers
Answer:
They will meet after four hours
Step-by-step explanation:
The boat moving at 2.5 mph will have travelled 10 miles after 4 hrs, and the boat moving at 5 mph will have travelled 20 miles after 4 hrs
examples of multidisciplinary studies in social sciences
Answers
Some examples of multidisciplinary studies in social sciences can be the following:
Study man from a social, cultural, political, economic, geographical and human perspective.Study the behavior of society in different dimensions.¿What are multidisciplinary studies?They are studies where different types of disciplines are applied, jointly and harmoniously, to study a particular topic or aspect.
This type of study can be applied in the social sciences, for example, to study processes from different disciplines.
¡Hope this helped!
Question 1 of 5 Which number line shows the solutions to x < 5? OA. -3 -6 -4 -2 0 2 4 6 8 OB. O C. -8 -6 -4 -2 0 2 4 6 8 -8-6-4-2 0 2 4 6 8 OD. 864 2 0 2 4 6 8
Answers
The number line that shows the solutions of x < 5
B. O What is number line?A number line is a visual representation of the real numbers, ordered from left to right, with zero in the middle. It is typically a straight line that extends infinitely in both directions, with evenly spaced markings that represent specific points along the line.
The solution of x < 5 should consist of number less than 5
The inequality used is less than and hence should have values saying less than
Other options has numbers more than 5 such as 6 except option B
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How much bigger is the 5 in 35.76 than the 5 in 26.95
Answers
The five in 35.76 is 100 times bigger than the five in 26.95.
How to compare the place values?Here we want to compare the values of the 5's in two different numbers, which are 35.76 and 26.95.
To compare them we need to compare the place value in which each five is.
To compare them, just write the numbers but replacing all the other values by zeros:
35.76 = 05.00 = 5
26.95 = 00.05 = 0.05
Now take the quotient of these two, we will get:
5/0.05 = 100
Thus, the 5 in 35.76 is 100 times bigger than the 5 in 26.95.
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evaluate the expression where necessary, enter your answer as a fraction using the slash(/) as the fraction bar. (6/11)^2
PLEASE HELP! OFFER FOR 100 POINTS
Answers
WILL GIVE BRAINLIEST
Function f is an exponential function
By what factor does the output value increase as each input value increases by 1?
Answers
Answer:
4
Step-by-step explanation:
You are given a table of function values in which x increases by 2, and you want to know the factor by which f(x) increases when x increases by 1.
FactorLet k represent the factor by which f(x) increases when x increases by 1. This means ...
f(2) = k·f(1)
f(3) = k·f(2) = k·(k·f(1)) = k²·f(1)
64 = k²·4
k² = 64/4 = 16
k = √16 = 4
The output value increases by a factor of 4 as the input value increases by 1.
__
Additional comment
The table values would also be obtained if the factor of increase were -4. That is, f(x) = -(-4)^x would give the same table. In that case, f(x) would not be a continuous function.
Lucy’s chocolate bar is 54% cocoa. If the weight of the chocolate bar is 54 grams, how many grams of cocoa does it contain? Round the answer to the nearest tenth
Answers
Answer:
29.16 grams
Step-by-step explanation:
To solve this, you have to use the weight of cocoa formula. So the weight of cocoa = 54% percent of chocolate bar's weight which is 54 gram. So weight of cocoa = 54/100*54. This will give you 29.16 grams.