Answer:
the side is halved the area of the square will be one fourth
Step-by-step explanation:
example : 6cm
area : 6x6 = 36
now half of 6 is 3
so : 3x3 = 9
one-fourth of 36 is 9
The amount of fuel remaining in a gas grill is a function of the number of hours, h that the grill has been used. This relationship can be expressed by the function below. F(h) = 100 - 2h Determine and represent the domain of this function for the problem situation using inequality notation.
Given:
The amount of fuel remaining in a gas grill is a function of the number of hours.
[tex]F(h)=100-2h[/tex]
To find:
The domain for this situation.
Solution:
Domain is the set of input values.
The amount of fuel remaining in a gas grill F(h) is
[tex]F(h)=100-2h[/tex]
where, h is the number of hours.
Here, domain is the set of all possible values of h.
We know that, time and remaining fuel cannot be negative. So,
[tex]h\geq 0[/tex] ...(i)
[tex]F(h)\geq 0[/tex]
[tex]100-2h\geq 0[/tex]
[tex]100\geq 2h[/tex]
[tex]50\geq h[/tex] ...(ii)
Using (i) and (ii), we get
[tex]0\leq h\leq 50[/tex]
Therefore, the domain of the given function is [tex]0\leq h\leq 50[/tex].
10) Choose the correct answer.
Simple Inequalities:
please help
Answer: your picture doesnt have all the options for the answer but the first two are incorrect. The correct one would have both little dots filled in with black
Step-by-step explanation:
Answer: 3 ≤ x ≤ 7
Step-by-step explanation:
The number line will have a filled in circle at 3 and a filled in circle at 7.
A filled in circle indicates that the number IS a solution.
An open circle indicates that the number is NOT a solution.
Hope this helps!
A graph of a quadratic function is shown below.
What is the vertex of the parabola shown? (5 points)
A (10, 800)
B (800, 10)
C (30, 0)
D (0, 600)
Using it's concept, it is found that the vertex of the quadratic function is given by:
B (800, 10).
What is the vertex of a quadratic equation?It is the point in which the parabola changes from increasing to decreasing, or vice versa, that is, the point in which it turns.
In this problem, it turns at x = 10 and y = 800, hence option A is correct.
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Answer:
Step-by-step explanation:
Write an equation for the line that passes through (2,5) and (6,7)
Answer:
[tex]y=\frac{1}{2}x+4[/tex]
Step-by-step explanation:
Find the slope of the line first using the slope formula:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]Substitute the two given points into this formula.
[tex]\frac{7-5}{6-2} =\frac{2}{4} =\frac{1}{2}[/tex]Now that you have a slope and a point that the line passes through, you can use the point-slope formula to find the equation of the line.
Point-slope formula:
[tex]y-y_1=m(x-x_1)[/tex]Substitute m = 1/2 for the slope and one of the points; I'm going to use (2, 5).
[tex]y-(5)=\frac{1}{2} (x-(2))[/tex]Simplify the equation so it's easier to read.
[tex]y-5=\frac{1}{2} (x-2)[/tex]Distribute 1/2 inside the parentheses.
[tex]y-5=\frac{1}{2}x-1[/tex]Add 5 both sides of the equation.
[tex]y=\frac{1}{2}x+4[/tex]Answer:
The slope is the change in y over the change in x.
(7-5) / (6-2) = 2 / 4 = 1 / 2
In y = mx + b, we know y, m, and x. Now solve for b:
Let's use the point (2, 5).
5 = (1/2)(2) + b
5= 1 + b
b = 4
Now put it together:
y = (1/2)x + 4
Step-by-step explanation:
help!
Instructions: Write an expression to represent the given scenario.
Your friend Isabella is growing her hair out so that she can cut it and donate it to a charity that makes wigs for childhood cancer victims. On average, hair typically grows 1.5 cm per month. Write an expression that represents the total growth Isabella should expect based on the number of months, m, she lets her hair grow.
Answer:
y = 1.5m
Step-by-step explanation:
Since we are finding the length after a certain number per month, that means we will be multiplying.
1.5 for EVERY month so it would look like
_ = 1.5m
We can replace the blank with the variable y.
y = 1.5m
Hope that helps and have a great day!
how can you write the expression 2 − (p 6) in words? a two minus the sum of p and six b two added to the difference of p and six c the difference of two and p times six d the sum of two and p added to six
Answer:
C
Step-by-step explanation:
2-(p*6)
minus=the difference of
(p*6)=p times 6
Fully written out: The difference of two and p times six
Write the equation of the line that passes through the points (-3, -7) and (-3,-4) put your answer in fully reduced point slope form unless it is a vertical or horizontal line
Answer:
the equation is x=-3
Step-by-step explanation:
no matter what, the x values are the same, if you have the same values in the same line, it is most likey a vertical line
It will make my life if you help me with this forealzez
Answer:116
Step-by-step explanation:
By definition, a rhombus will have equal opposite angles.
Also by definition, the two angles on the same side of a rhombus are supplementary, or add up to 180 degrees.
Using this, we can make the equation 2c-12+c=180, 3c-12=180, 3c=192, and c =64
Now that we have found out c is 64, we plug it into the angle 2c-12 to get
2*64-12=116.
So again by definition, angle J will be 116 degrees since its an opposite angle.
During this basketball season trey took 250 shots and made 72 shots what was his shooting percent
dividing a faction by a fraction 3/5 divided 1/3
Answer:
9/5
Step-by-step explanation:
3/5 ÷ 1/3
3/5 ÷ 3/13/5 × 3/1 = 9/59/5
Why is it that when comparing a squares area with a rectangles area, with the SAME PERIMETER, that the square has a greater area?
s = side length of square
4s = perimeter of square
L = length of rectangle
W = width of rectangle
P = 2L+2W = perimeter of rectangle
4s = 2L+2W .... since we want the perimeters the same
4s = 2(L+W)
s = 0.5(L+W)
s^2 = (0.5(L+W))^2 ... square both sides
s^2 = 0.25(L+W)^2
The last equation shows the area of the square, s^2, in terms of L and W. This way we can connect the square to the rectangle.
-----------------------------------
The area of the rectangle is LW
Let's subtract this from the area of the square and see what we get
A = area of square = s^2
B = area of rectangle = LW
C = difference in area
C = A - B
C = s^2 - LW
C = 0.25(L+W)^2 - LW
C = 0.25(L^2+2LW+W^2) - LW
C = 0.25L^2+0.5LW+0.25W^2-LW
C = 0.25L^2-0.5LW+0.25W^2
C = 0.25(L^2-2LW+W^2)
C = 0.25(L-W)^2
Regardless of what we pick for L and W, the expression (L-W)^2 is always positive. Squaring a negative number leads to a positive result.
So C is always positive as long as [tex]L \ne W[/tex]
If C > 0, and C = A - B, then
C > 0
A-B > 0 .... replace C with A-B
A > B .... add B to both sides
This shows the square area is always larger than the rectangle.
Again this only works if L and W are different values. If L = W, then the argument falls apart because the rectangle becomes the square.
We make [tex]L \ne W[/tex] to have a nonsquare rectangle.
Help me !!! Solve: 3b − 2 = 7
Answer:
B=3
Step-by-step explanation:
PLEASE I NEED HELP FIND THE X USE THE SCREEN SHOT
The initial pressure inside a closed container is 200 psi. As the temperature inside the container increases, the pressure increases. If the pressure increases 7.5 psi for each degree Fahrenheit of increased temperature, which equation best represents p, the pressure inside the container after the temperature has increased t degrees?
Answer:
p = (200 + 7.5t) psi
Step-by-step explanation:
The initial pressure inside a closed container is 200 psi. Since the container is closed, the pressure inside it can not be less than 200 psi.
The pressure increases 7.5 psi with a degree rise in temperature (t) = 7.5t
so that;
p = 200 + 7.5t
= (200 + 7.5t) psi
If the temperature increases by [tex]1^{o}[/tex] F, then;
p = 200 + 7.5(1)
= 200 + 7.5
= 207.5 psi
If the temperature increases by [tex]10^{o}[/tex] F, then;
p = 200 + 7.5(10)
= 200 + 75
= 275 psi
the farm covers an area of 13square miles. The farm is divided into 4 equal sections, as shown in this diagram. What is the area, in square miles, of each section?
Answer:
p[
Step-by-step explanation:
p[
What is the range of the function graphed below?
Answer:
Range: [tex]y\in[-4,0)\cup[2,+\infty)[/tex]
Step-by-step explanation:
Range of a Function
Given a real function f(x), the Range of f is the set of all the values the function can take when x varies within the domain of f.
If we have the graph of the function, a practical rule can be used to find the Range. Imagine a horizontal rule moving from minus infinity to plus infinity. If that rule touches the graph of the function, the vertical height or y-value belongs to the range.
Consider the function provided in the image. If our horizontal rule comes from minus infinity, it won't touch the graph until it reaches the value y=-4. Note the endpoint has a filled dot, meaning the point belongs to the function. The range starts from -4.
Going up in values of y, we touch the function until y=0. But that endpoint is marked with an empty dot, so that point does not belong to the function.
The first interval of the range is [-4,0)
Moving up the rule, we touch the function again when y=2 (included) and we note the function continues to go up to plus infinity (signaled with the arrow). Thus, the second interval is [2,+∞).
The range of f is the union of both intervals:
Range: [tex]y\in[-4,0)\cup[2,+\infty)[/tex]
Answer:
B
Step-by-step explanation:
(x - 3)? > -3(x + 2) for x = 3
Answer:
The Left side (0) is greater then the right side (-15)
Step-by-step explanation:
(x - 3) is greater than -3(3+2)
Can someone please give me a free disney plus account
Answer:
Uh- I cant ;w;
Step-by-step explanation:
Answer:
yes I can if you still want one
Step-by-step explanation:
i need help with the first question asap. please explain how you did the problem and why or why not they are porportional
Answer:
No, The graph does not represent two proportional quantities, because the line does not passes through the origin point (0, 0)
Step-by-step explanation:
The equation of the proportional quantity is y = k x, where k is the constant of proportionalityThis equation represented graphically by a line passes through the origin point (0, 0) because if we substitute x by 0 in the equation y = kx, y must be equal to zeroTo solve the question graphically, we will use the ordered pairs on the table
→ x → y ⇒ ordered pair
→ 1 → 3 ⇒ (1, 3)
→ 7 → 1 ⇒ (7, 1)
→ 4 → 2 ⇒ (4, 2)
Plot the points
→ Look at the attached graph down
x-axis represents the number of hoursy-axis represents the number of people∵ The line does not cut the y-axis at the origin point (0, 0)
→ That means the equation of the line can not be in the form y = k x
∴ The line does not represent a proportional equation
∴ The number of people and the number of hours are not proportion
can someone help me on this question pretty please
Answer:
50 dollars an hour
Step-by-step explanation:
Ms. Bixby needs to make 11 pairs of butterfly wings for costumes for a play. Each
pair of wings is made with 12 를 yard of fabric. The fabric costs $6 per yard.
Apply properties of multiplication to find the total cost of the fabric.
Answer:
792
Step-by-step explanation:
Sorry if im wrong :)
HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION!!!
Answer:
19.04
Step-by-step explanation:
convert 170% into decimal form number:
1.7
Then multiply by 11.2:
1.7 × 11.2 = 19.04
Pls consider marking my answer as Brainliest! It would mean a lot!
Type your response in the box. We each have a different level of health, and that level of health depends on many factors, including our lifestyles and habits. Some factors, however, might be outside our control. In your opinion, which is the biggest factor in determining how healthy you are? your level of physical activity your diet your level of stress factors outside your control, such as heredity Font Sizes
Answer:
Diet
Step-by-step explanation:
Health & fitness level has multiple factors. Some internal choice factors, some externally ascribed factors. Eg(s) - Diet, Excercise & Heredity, pollution respectively.
In my opinion, biggest factor affecting health is : Diet. As, it can affects health positively & negatively, by major extent. It can also help overcoming other health detrimental factors - eg lack of excercise, heredity issues, pollution related issues etc.
What are the x- and y-intercepts of the graph of 5x + y = 20?
x-intercept: 16
y-intercept: 0
x-intercept: 4
y-intercept: 20
x-intercept: 5
y-intercept: 1
x-intercept: 1
y-intercept: 5
x-intercept: 4
y-intercept: 20
Answer:
Step-by-step explanation:
x-intercept: 4
y-intercept: 20
please help am confused
Answer:
9%Step-by-step explanation:
432 ÷ 6 = 72
8 = 1% of 800
8 x 9 = 72 = 9%
Step-by-step explanation:
I = P×r%×t
432 = 800 × r/100 × 6
432 = 4800 × r/100
[tex]r = \frac{432 \times 100}{4800} [/tex]
r = 9%
Tatianna withdrew $20 from her bank account 3 times.how much did her account change? write your answer as an integer.
Answer:
$216
Step by step
Explanation:
First we subtract $ 20 from $ 84 giving us a total of $ 64 and when we add that to $ 152 we get $ 216
.
Answer:
-60
Step-by-step explanation:
A line passes through the point (-6,6) and has a slope of 3/2.
Answer:
y=3/2x+15
Step-by-step explanation:
Answer:
y=3/2+15
Step-by-step explanation:
simplify 3x(4x-5)+3 and its value for X = 3
Answer:
Step-by-step explanation:
3x ( 4x - 5 ) + 3
12x^2 - 15x + 3
12 × 3^2 - 15 × 3 + 3
12 × 9 - 45 + 3
= 108 - 45 + 3
= 66
Hope this helps
plz mark as brainliest!!!!!!
Which of the following equations could you solve by first adding six and then dividing by negative three?
6.3 x= -9
+ 6 = -9
-3
-3 - 6 = -9
3 x-6 = -9
Answer:
-3 x - 6 = -9
Step-by-step explanation:
Solve the quadratic equation below by completing the square. What are the solutions?
x^2 - 16x + 50 = 21
A. X= -8+sqrt 7
B. X= 8 + sqrt 7
C. X= 8 +sqrt 35
D. X= -8+sqrt 35
By completing squares we will see that the solutions are:
[tex]x =\pm \sqrt{35} + 8[/tex]
How to complete squares?
Here we have the quadratic equation:
[tex]x^2 - 16x + 50 = 21[/tex]
We can rewrite it as:
[tex]x^2 - 2*8*x + 50 - 21 = 0\\\\x^2 - 2*8*x + 29= 0[/tex]
Then we must have a 8² term to complete squares, then we need to add and subtract 35.
[tex]x^2 - 2*8*x + 29 +35 - 35= 0\\\\(x - 8)^2 - 35 = 0\\\\(x - 8)^2 = 35[/tex]
Now we can solve this:
[tex]x =\pm \sqrt{35} + 8[/tex]
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