Answer:
2.65
Step-by-step explanation:
Use a calculator.
√7 = 2.6457513110...
√7 = 2.65
2
Let g(x) = x + 4x-7.
What is g(x) in graphing form?
(x + 2) - 7 = 4
O g(x) = (x + 2)²-7
Onone of the answer choices
x² + 4x-7=0
O g(x) = (x + 2)² - 11
The graphing form of the function g(x) is: C) none of the answer choices.
The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.
Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:
a = 1 (coefficient of x^2)
b = 4 (coefficient of x)
c = -7 (constant term)
Therefore, the graphing form of the function g(x) is:
C) none of the answer choices
None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.
In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.
The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C
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Determine the equation of the graph and select the correct answer below.
Answer: y = (x - 1)² - 3
Step-by-step explanation:
y = (1-1)²-3
y=0-3
y=-3
Please Help! Fast! Multiple Choice! Like really fast lol! A little bit of work show please
Answer:
Its answer B!
Step-by-step explanation:
PLS HELP !! Only 1 question
a butterfly is flying 8.75 feet above ground. it descends at a steady rate to a spot 6.25 feet above the ground in 1 2/3. what is the butterfly’s change in elevation each minute?
The butterfly’s change in elevation each minute is 1.5 feet.
How to calculate the change in elevation?Elevation simply had to do with the height above the sea level.
In this case, the butterfly is flying 8.75 feet above ground and descends at a steady rate to a spot 6.25 feet in 1 2/3. minutes.
The change in elevation will be:
= 8.75 - 6.25.
= 2.50
Therefore, the change per minute will be:
= Change in elevation / Number of minutes
= 2.50 / 1 2/3
= 2.50 / 1.67
= 1.5 feet per minute
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Can you please help i will give brainiest and a 5 star rating
Answer:
perimeter: 14x - 3
Explanation:
perimeter = total length measure of all sides.
Perimeter for this triangle:
5x - 7 + 7x + 3 + 2x + 1
5x + 7x + 2x - 7 + 3 + 1
14x - 3
Answer:
14x-3
Step-by-step explanation:
2x+1+7x+3+5x-7
=2x+7x+5x+1+3-7
=14x-3
Hope this helps
10. Find the measure of angle x.
11. Find the measure of angle ?
9514 1404 393
Answer:
10. 28°
11. 65°
Step-by-step explanation:
10. The two angles are complementary, so the unknown angle is ...
x = 90° -62° = 28°
__
11. The three angles total 180°, so the unknown angle is ...
? = 180° -55° -60° = 65°
Help help help help help help math math
Hi There!
First of all, we have 2 points:
(1, -2)
And
(0, -5)
In order to find the slope, we need to use the following formula:
\(\displaystyle\frac{y2-y1}{x2-x1}\)
Plug in the values:
\(\displaystyle\frac{-5-(-2)}{0-1}\)
\(\displaystyle\frac{-5+2}{-1}\)
\(\displaystyle\frac{-3}{-1}\)
Divide:
\(3\)
This is the slope.
Now, what about the y-intercept?
The y-intercept is the point where the graph touches the y-axis.
This is the point (0, -5)
Thus, the y-intercept is -5.
The equation is: y=3x-5
And we're done!
Hope it helps!
Have an awesome day!
-Starry
Tony ate lunch in 4 minutes. How many seconds is this?
4 minutes is equivalent to 240 seconds.
There is 60 seconds in a minute.
60x4 = 240.
Answer:
240 Seconds.
Step-by-step explanation:
1 Minute is 60 Seconds, SO 4 x 60 = 240!
A movie theater sells adults' tickets and children's tickets.
• 100 adults' tickets and 80 children's tickets sell for $1,020 total.
• 60 adults' tickets and 40 children's tickets sell for $530 total.
What is the cost of each children's ticket?
Answer: $13.25 each ticket
Step-by-step explanation: 530 divided by 40
The temperature in a hotel is 21 °C.
The temperature in the hotel is 26,7°C warmer than at the top of the mountain.
The temperature at the top of the mountain is 3.2°C colder than at the bottom of the mountain.
Work out the temperature at the bottom of the mountain.
The temperature at the bottom of the mountain is 50.9 °C.
Let's work through the given information step by step to find the temperature at the bottom of the mountain.
The temperature in the hotel is 21 °C.
The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.
Let's denote the temperature at the top of the mountain as T_top.
So, the temperature in the hotel can be expressed as T_top + 26.7 °C.
The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.
Let's denote the temperature at the bottom of the mountain as T_bottom.
So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.
Now, let's combine the information we have:
T_top + 26.7 °C = T_bottom - 3.2 °C
To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:
T_bottom = T_top + 26.7 °C + 3.2 °C
T_bottom = T_top + 29.9 °C
Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:
T_bottom = 21 °C + 29.9 °C
T_bottom = 50.9 °C
Therefore, the temperature at the bottom of the mountain is 50.9 °C.
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Is (6,0) a solution of 5x-y=9?
Answer:
No
Step-by-step explanation:
5(6)-(0)≠95(6)-(0)=30Write the coordinates of the vertices after a reflection over the x-axis.
Answer:
J: -5,10
K: -5,5
L: -2,1
M: -2,6
Hope I helped<3
If m<TUV = (9x + 1), m<TUW = (7x-9), and m<WUV = (5x - 11), find the value of x.
Answer: x = 7
Step-by-step explanation:
Suppose ray UW divides ∠TUV into two angles ∠ TUW and ∠ WUV.
Then, m∠TUV = m∠ TUW + m ∠ WUV (i)
Given, m∠TUV = (9x + 1) , m∠ TUW = (7x-9) and m ∠ WUV = (5x - 11)
Substitute these values in (i), we get
\(9x+1=7x-9+5x-11\\\\\Rightarrow\ 9x+1= 7x+5x-9-11\\\\\Rightarrow\ 9x+1=12x-20\\\\\Rightarrow\ 12x-9x= 1+20\\\\\Rightarrow\ 3x= 21\\\\\Rightarrow\ x=\dfrac{21}{3}\\\\\Rightarrow\ x=7\)
Hence, the value of x = 7.
Answer:
x=7
Step-by-step explanation:
11. Which of the following equations has NO
solution?
A. a +2=a+2
B. a=-a + 2
C. a + 2 = a-2
D. a + a=2
HEELPP:(
Answer:
a + 2 = a-2
step-by-step explanation
A salesclerk in a store is paid a salary plus 3% commission. If the salesclerk earns $10.65 commission for a weekend, how much were the sales?
Answer:
$355 was the sales
Step-by-step explanation:
if 3/100 = 10.65
it means for the fraction 3 % was the one equal to 10.65 but to get the rest of the 7 % we use simple proportion then we invert the fraction
100/3 ×10.65 =355
which is an example of a non-renewable resorce?
Answer: Fossil Fuels such as coal and oil
Step-by-step explanation:
Sam needs to fill a cylindrical container with punch. The container has
a radius of 11 inches and a height of 18 inches. How much punch can
Sam fit into the container?
Volume of the cylinder = 6838.92 cubic inches
We have to given that;
Sam needs to fill a cylindrical container with punch.
And, The container has a radius of 11 inches and a height of 18 inches.
Since, To determine the amount of cat litter the cylinder can hold, we need to calculate the volume of the cylinder.
Volume of a cylinder = πr²h
Where,
r=radius
h= height
Then,
π=22/7 or 3.14 (constant value)
r=11 inches
h=18 inches
Volume of a cylinder is,
= 3.14 × (11)² × 18
= 6838.92 cubic inches
Hence, Volume of the cylinder = 6838.92 cubic inches
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Nicole and her 3 friends bought 8 pounds of candy and shared them equally. How many pounds
of candy
?
3
Answer:
Each person will get 2 pounds of candy
Step-by-step explanation:
Nicole + 3 friends = 4 total
8 pounds of candy = total
total candy / total people
8/4 = 2
What values of x
and y
satisfy the system of equations {8x+9y=−36 x+7y=1}
Enter your answer as an ordered pair, like this: (42, 53)
If your answer includes one or more fractions, use the / symbol to separate numerators and denominators. For example, if your answer is (4253,6475),
enter it like this: (42/53, 64/75)
If there is no solution, enter "no"; if there are infinitely many solutions, enter "inf."
The solution to the system of equations is (x, y) = (-261/47, 44/47) as an ordered pair.
To solve the given system of equations:
Equation 1: 8x + 9y = -36
Equation 2: x + 7y = 1
We can use the method of substitution or elimination to find the values of x and y. Let's use the method of substitution:
From Equation 2, we can solve for x:
x = 1 - 7y
Substituting this value of x into Equation 1:
8(1 - 7y) + 9y = -36
8 - 56y + 9y = -36
-47y = -44
y = 44/47
Substituting the value of y back into Equation 2 to find x:
x + 7(44/47) = 1
x + 308/47 = 1
x = 1 - 308/47
x = (47 - 308)/47
x = -261/47
Therefore, as an ordered pair, the solution to the system of equations is (x, y) = (-261/47, 44/47).
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Select the correct answer. Consider this function. Which graph represents the inverse of function f? f(x)= x+4
The inverse of the function f(x) = x + 4 is given as f⁻¹(x) = x - 4
What is inverse of a function?An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by ‘f’ or ‘F’, then the inverse function is denoted by f-1 or F-1.
In this problem, the function given is f(x) = x + 4;
We can find the inverse of the function as;
y = x + 4;
Let's switch the variables by replacing x as y and y as x;
x = y + 4
Solving for y;
y = x - 4
f⁻¹(x) = x - 4
The graph of the function is attached below
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This month my metro water services bill was $36.34 and my Madison Suburban Utilty District bill was $26.03. My total water bill was $
Total water bill for the month is $62.37.
It seems that you may have accidentally left out the total amount of your water bill.
The total amount by simply adding the amounts of the individual bills together:
Total water bill =\($36.34 + $26.03\)
= \($62.37\)
You have not provided enough information to determine your total water bill.
You have only given the amounts of your individual bills from Metro Water Services and Madison Suburban Utility District.
To find your total water bill, you simply need to add the two bills together.
So, the total amount you owe for water this month would be:
Total water bill = \($36.34 + $26.03\)
= \($62.37\)
It appears that you may have forgotten to include the full amount of your water bill by accident.
Simple addition of the separate bill amounts yields the following sum:
Water bill total = \($36.34 + $26.03\)
= \($62.37\)
Your total water bill cannot be calculated because not enough information has been given.
Only the amounts of your individual Metro Water Services and Madison Suburban Utility District bills have been provided.
You just need to combine the two invoices together to get your total water bill.
As a result, this month's total water bill for you would be:
Water bill total = \($36.34 + $26.03\)
= \($62.37\)
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It is possible to select 3 restraunts in how many different ways?
There are 1140 different possible ways to select 3 restaurants out of 20 for the promotional program.
In mathematics, what are a permutation and combination?Combination and permutation are two alternative strategies in mathematics to divide up a collection of components into subsets. The subset's components can be listed in any order when combined. The components of the subset are listed in a permutation in a certain order.The combination formula, which is: can be used to resolve this issue.
n C r = r! * (n-r)!
where r is the number of restaurants to be chosen, and n is the total number of restaurants (20 in this case). (3 in this case).
By replacing these values, we obtain:
20 C 3 = 20! / (3! * (20-3)!) = 20! / (3! * 17!) = (20 * 19 * 18) / (3 * 2 * 1) = 1140
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Pls answer this is a khan academy question
Answer:
Oak tree - linearBirch tree - exponentialStep-by-step explanation:
The first table represents a linear function
For each 3 years, the rise of branches is ~12The second table represents an exponential function
For each years time, the branches increase ~4 timesDetermine whether each ordered pair is a solution of the equation y=2x+6
The equation does not hold true, the ordered pair (3, 10) is not a solution of the equation y = 2x + 6.In this way, we can determine whether an ordered pair is a solution of the given equation or not.
Given the equation y = 2x + 6To determine if an ordered pair is a solution of this equation or not, substitute the values of x and y in the equation. If the equation holds true, then the ordered pair is a solution.
If it is not true, then the ordered pair is not a solution.For example, let's consider the ordered pair (1, 8).
Here, x = 1 and y = 8.Substituting these values in the given equation,
we get: y = 2x + 6 => 8 = 2(1) + 6 => 8 = 8 Since the equation holds true,
the ordered pair (1, 8) is a solution of the equation y = 2x + 6.
Now, let's consider another ordered pair, say (3, 10). Here, x = 3 and y = 10.Substituting these values in the given equation, we get: y = 2x + 6 => 10 = 2(3) + 6 => 10 = 12
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hgggggggggggggggggggg
Seriously dude, c'mon
What is the leading coefficient of. Y=2x³ +5
Answer:
2
Step-by-step explanation:
the leading coefficient is the number in front of the variable with the largest exponent.
here, the largest exponent is 3 in 2x³ and the corresponding coefficient for that is 2
OMG HELP RN I MARK BARINLIST
Which of the following correctly describes the solutions to the inequality?
A.
There are an infinite number of solutions. The solutions are all numbers less than 2.
B.
There are an infinite number of solutions. The solutions are all numbers greater than 2.
C.
There are 7 solutions. The solutions are the numbers between 2 and 8.
D.
There are 4 solutions. The solutions are the numbers between -2 and 1.
Answer:
B
Step-by-step explanation:
The dot on 2 is an open spot, so 2 isn't part of the solution. the arrow points towards +∞ so, yeah. b
What is the midpoint of the segment shown below?
A.(5,7/2)
B.(5,7)
C.(5/2,7)
D.(5/2,7/2)
Answer:
D
Step-by-step explanation:
\((x_{1},y_{1}) = (2 , 2)\\\\ (x_{2},y_{2}) = (3 , 5)\\\\\\Midpoint=\left(\dfrac{x_{1}+y_{1}}{2},\dfrac{x_{2}+y_{2}}{2} \right)\\\\\\=\left(\dfrac{3+2}{2},\dfrac{5+2}{2} \right)\\\\\\= \left(\dfrac{5}{2},\dfrac{7}{2} \right)\)
What is the area?
Write your answer as a fraction or as a whole or mixed number.
1 3/4 mi
1 mi
Answer:1.75 and 7/4ths
Step-by-step explanation: