Answer:
- 1 < x < 4
Step-by-step explanation:
[tex] - 6 < 2x - 4 < 4 \\ - 6 + 4 < 2x < 4 + 4 \\ - 2 < 2x < 8 \\ \frac{ - 2}{2} < x < \frac{8}{2} \\ \purple{ \boxed{ \bold{ - 1 < x < 4}}}[/tex]
A window in Michael's room is the shape of a trapezoid. The bases are 30 inches and 40 inches. The height of the window is 24 inches. Find the area of the window.
Answer:
The area of the window is of 840 square inches.
Step-by-step explanation:
To find the area of an trapezoid, we need to add the sum of the bases, multiply by the height, and then divide by 2.
Matematically:
[tex]A = \frac{(b_{1} + b_{2})*h}{2}[/tex]
In which [tex]b_{1}[/tex] and [tex]b_{2}[/tex] are the bases and h is the height.
In this question:
[tex]b_{1} = 30, b_{2} = 40, h = 24[/tex]
All the measures in inches, so the area is in square inches.
[tex]A = \frac{(30 + 40)*24}{2} = 840[/tex]
The area of the window is of 840 square inches.
!!!!!TIMED REVIEW PLS ANSWER QUICKLY WILL LIST BRANLIEST!!!!
subtract six eighths minus two fourths
Answer:
1/4
That would be the answer because 6/8 minus 2/4 would equal 1/4
Subtract six eighths minus two fourths is the same as 6/8 - 2/4.
Find common denominators.
6/8
2/4 = 4/8
Subtract.
6/8 - 4/8
2/8
Simplify.
2/8 = 1/4
Therefore, the answer is 1/4
Best of Luck!
Bless ur heart ( ur a huge help)
Answer:
Angle 2
Step-by-step explanation:
They are immediately across from each other and measure the same degrees.
Answer:
SAME STAY SAFE ANSWER 2
Step-by-step explanation:
What is the quadratic regression equation that fits these data?
x. y
-4 35
-3 20
-2 12
-1 6
0 2
1 6
2 10
3 24
4 38
Answer:
y = 2.09x2 + 0.33x + 3.06
Step-by-step explanation:
just did the T3ST :)
The equation that represents the quadratic regression is y = 3.06 + 0.33x + 2.09x².
To find the quadratic regression equation that fits these data:
First, we determined the following values,
mean of x = 0
mean of y = 17
the correlation coefficient r = 0.9960376489
The precise metric used in a correlation analysis to quantify the strength of the linear relationship between two variables is the correlation coefficient. In a correlation report, r stands for the coefficient.
A = 3.060606061
B = 0.3333333333
C = 2.090909091
And the quadratic regression can be modeled by the Quadratic regression: y=A+Bx+Cx².
Therefore, the equation is y = 3.06 + 0.33x + 2.09x².
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solve the equation for x and enter your answer in the box below
x + 14 =27
Answer: x = 13
Step-by-step explanation: When solving an equation like this, we are trying to get our variable which is our letter by itself.
So we first want to ask ourselves what is the 14 doing to x. Well, we can see that it's being added to x so to get x by itself, we will do the opposite of addition which is subtraction. So we subtract 14 from both sides of the equation.
The +14 -14 cancels out so we're left with x on the left.
On the right, we must subtract 14 from 27 to get 13.
So we have x = 13 which is the solution to this equation.
Answer:
[tex]x = 13[/tex]
Step-by-step explanation:
[tex]x + 14 = 27 \\ x = 27 - 14 \\ x = 13[/tex]
Find the surface area.
Any help will be appreciated thank you
Answer:
Find the area of the shape
First the two triangles
3 x 4 = 12 so the area of both triangles is twelve
Now it is only 1 big rectangle left
The side lengths can be added 3 + 4 + 5 = 12
12 x 11 = 132
132+12=144
144 is the surface area/area
If you have any questions please ask
Step-by-step explanation:
Neal and Abel are mountain biking on a 35-mile trail. Their rides are represented by these equations. Abel: d = 14t, Neal: d = 11t + 6 How many hours will the boys have travelled when they are at the same point on the trail? hours
Answer:
The boys would have traveled two hours to be at the same point on the trail
Step-by-step explanation:
At the same point on the trail, the two boys would have traveled the same distance.
What this means is that the distance traveled by Neal would be equal to the distance traveled by Abel
Thus, we equate the equation of thur distances.
That would be;
14t = 11t + 6
14t -11t = 6
3t = 6
t = 2 hours
Answer:
2
Step-by-step explanation:
I don’t understand how to do this problem. How would I solve it?
Answer:
About 2.569 seconds
Step-by-step explanation:
To solve this problem, you can separate it into two half parabolas. The beginning part is initial upward rising. To calculate the amount of time that this part of the dive takes, you can use the formula [tex]v_f=v_o+at[/tex], where [tex]v_f[/tex] is the final velocity, [tex]v_o[/tex] is the initial velocity, a is the acceleration due to gravity, and t is the amount of time it takes. You know that the final velocity is 0, since the diver is reaching the terminal of their dive. Therefore, you can set up the following equation (assuming that the acceleration due to gravity is 32ft/s^2):
[tex]0=5+(-32)t[/tex]
[tex]t=5/32[/tex] seconds
To find the height that this indicates the diver has risen, you can plug this time into the following formula: [tex]d=v_o t+\frac{1}{2}at^2[/tex]
[tex]d=5(5/32)+\frac{1}{2}\cdot 32\cdot (5/32)^2\approx 1.172[/tex] feet
For the second part, you can use the equation [tex]d=v_o t+\frac{1}{2}at^2[/tex] again. Since the initial velocity for this part is 0, you can set up the following equation:
[tex]92+1.172=\frac{1}{2}\cdot 32 \cdot t^2[/tex]
[tex]t \approx 2.413[/tex]
Adding this to the time that the first part of the dive takes, you get a total of about 2.569 seconds. Hope this helps!
The function f(x) = (x - 4)(x-2) is shown.
What is the range of the function?
1:01
all real numbers less than or equal to 3
all real numbers less than or equal to - 1
all real numbers greater than or equal to 3
all real numbers greater than or equal to -1
6+
4
2
10.-
-6
-4
8
10
X
-2
-2
-4
-6
-10
Save and Exit
Next
Submit
Mark this and return
Answer:
the range for f(x) = (x-4) (x-2) is [-1,∞)
Step-by-step explanation:
all real numbers greater than or equal to -1
The range of the function is all real numbers greater than or equal to -1
What are domain and range?The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.
The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.
Given data ,
Let the function be represented as A
Now , the value of A is
f ( x ) = ( x - 4 ) ( x - 2 ) be equation (1)
On simplifying , we get
f ( x ) = x ( x - 2 ) - 4 ( x - 2 )
f ( x ) = x² - 2x - 4x + 8
f ( x ) = x² - 6x + 8
Now , the range of the function is set of possible y values
The vertex of the parabola is at ( 3 , -1 )
So , the range of the function is f ( x ) ≥ -1 and the interval is [ -1 , ∝ ]
Hence , the range of the function is f ( x ) ≥ -1
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Jason is traveling by car from his home to his office. He has gone 3.5 miles so far. From this point on, he can cover 100 miles every 2 hours. What is the equation of a line that models the total miles traveled, y, in x hours after this point?
A.
y = 100x + 3.5
B.
y = 100x – 3.5
C.
y = 50x + 3.5
D.
y = -50x + 3.5
Which expression is equivalent?
7 − 4(2x − 3)
A) 8x + 5
B) 8x − 19
C) −8x + 5
D) −8x + 19
Answer:
this is so overdue
Step-by-step explanation:
The y intercept of the function : f(x)=x² - 6x + 8 is (0,___)
Answer:
y-intercept: (0,8)
Step-by-step explanation:
800+150? please tell me
Answer:
800 + 150 = 950
Step-by-step explanation:
The answer is 950 because if you have $800 and your mom gives you $150 more. You will have a total of $950.
Answer:
800+150=950
Step-by-step explanation:
State the degree of each expression.
1) 10x10 + x
Answer:
10x10x10
Step-by-step explanation:
Thus, shown in long form, a power of 10 is the number 1 followed by n zeros, where n is the exponent and is greater than 0; for example, 106 is written 1,000,000. When n is less than 0, the power of 10 is the number 1 n places after the decimal point; for example, 10−2 is written 0.01. if im not right i tried to fix the math question
inverse of f(x)=50000(0.8)^x
Answer:
Step-by-step explanation:
Zero is___ a divisor always sometimes never
Answer:
sometimes
Step-by-step explanation:
You can never divide a non-zero number, such as 3 or 7, by zero. However, you can divide zero by zero, so the answer is sometimes.
Hope this helped! :)
Answer:
sometimes
Step-by-step explanation:
i really need help guys can some one plz help me it's for 10 points
Answer:
[tex]\sqrt{8}----- 2units,2units[/tex]
[tex]\sqrt{7} ------\sqrt{5}units,\sqrt{2}units[/tex]
[tex]\sqrt{5}-------1unit,2units[/tex]
[tex]3------2units, \sqrt{5}units[/tex]
Step-by-step explanation:
Use pythagorean's theorem to solve each pair individually.
The instructions say that you have the two sides (a and b) and you have to match it with their hypothenuse.
[tex]Formula: c^2=a^2+b^2[/tex]
1. [tex]a=\sqrt{5}, b=\sqrt{2}[/tex]
Plug this into the formula.
[tex]c=\sqrt{(\sqrt{5} )^2+(\sqrt{2})^2 }[/tex]
The square here eliminates the roots.
[tex]c=\sqrt{5+2}\\ c=\sqrt{7}[/tex]
2. [tex]a=\sqrt{3}, b=4[/tex]
[tex]c=\sqrt{(\sqrt{3} )^2+(4)^2}\\ c=\sqrt{3+16}\\ c=\sqrt{19}[/tex]
3. [tex]a=2, b=\sqrt{5}[/tex]
[tex]c=\sqrt{(2)^2+(\sqrt{5})^2 }\\ c=\sqrt{4+5}\\ c=\sqrt{9}\\ c=3[/tex]
4. [tex]a=2, b=2[/tex]
[tex]c=\sqrt{(2)^2+(2)^2}\\ c=\sqrt{4+4}\\ c=\sqrt{8}[/tex]
5. [tex]a=1, b=2[/tex]
[tex]c=\sqrt{(1)^2+(2)^2}\\ c=\sqrt{1+4}\\ c=\sqrt{5}[/tex]
What are the domain, range, and asymptote of h(x) = 6x – 4? domain: {x | x is a real number}; range: {y | y > 4}; asymptote: y = 4 domain: {x | x is a real number}; range: {y | y > –4}; asymptote: y = –4 domain: {x | x > –4}; range: {y | y is a real number}; asymptote: y = 4 domain: {x | x > 4}; range: {y | y is a real number}; asymptote: y = –4
Answer:
Step-by-step explanation:
The domain of a function is the set for which the function is defined. Our function is the function [tex]h(x) = 6x-4[/tex]. This function is defined regardless of the value of x, so it is defined for every real value of x. That is, it's domain is the set {x|x is a real number}.
The range of the function is the set of all possible values that the function might take, that is {y|y=6x-4}. Recall that every real number y could be written of the form y=6x-4 for a particular x. So the range of the function is the set {y|y is a real number}.
Note that as x gets bigger, the value of 6x-4 gets also bigger, then it doesn't approach any particular number. Note also that as x approaches - infinity, the value of 6x-4 approaches also - infinity. In this case, we don't have any horizontal asymptote. Since the function is defined for every real number, it doesn't have any vertical asymptote. Since h is a linear function, it cannot have any oblique asymptote, then h doesn't have any asymptote.
Answer:
the answer is b
Step-by-step explanation:
Which is closest to the area of the shaded region in the figure, in
square units?
Answer:
Where is the picture?
Step-by-step explanation:
please answer I will give brainlist
In the diagram, segment CG is best described as a
tangent
radius
chord
diameter
Answer:
Try chrord. The picture looks like a tangent but the CG line looks most like a chord.
Step-by-step explanation:
A chord is a line inside of the circle.
What dose rotations mean in math
Answer:
A rotation is a transformation that turns a figure about a fixed point called the center of rotation. • An object and its rotation are the same shape and size, but the figures may be turned in different directions. • Rotations may be clockwise or counterclockwise.
Step-by-step explanation:
Answer:it means the movitem of a figure to somewhere else
Step-by-step explanation:
A square pyramid is sliced parallel to the base and halfway up the pyramid.
Which of these describes the cross section?
A square smaller than the base
A quadrilateral that is not a square
A square the same size as the base
A triangle with a height the same as the pyramid
Answer:
A square smaller than the base
Explanation:
A square pyramid is a 3 Dimensional image. When you slice a 3 Dimensional image you form is a 2 Dimensional image for example a rectangle, a square, a triangle e.t.c.
The shape of the cross sections formed after slicing a 3 Dimensional image is dependent on the way it was sliced.
This means it can be sliced horizontally or vertically and this would result in different shapes.
If square pyramid is sliced parallel to the base and halfway up the pyramid, the shape of the cross section formed is a square smaller than the base.
Answer:
the first one
Step-by-step explanation:
How would you write and equation for a circle with a radius of 5 , centered at the point (-3,2)
Answer:
[tex](x+3)^{2} + (y-2)^{2} = 25[/tex]
Step-by-step explanation:
Solve this system of linear equations. Separate
the x- and y-values with a comma.
-9x = 16 - y
12x = -5 - y
Answer:
Step-by-step explanation:
-9x + y = 16
12x + y = -5
12x + y = -5
9x - y = -16
21x = -21
x = -1
9 + y = 16
y = 7
(-1,7)
A mirror should be centered on a wall the mirror is 4 feet wide in the wall is 20 Feet wide what equation helps determine the distance X on each side of the mirror
Answer:
A)x + 4 + x = 20
Step-by-step explanation:
Complete question:
Which equation helps determine the distance x on each side of the mirror?
A. x + 4 + x = 20
B. 4 + x + 4 = 20
C. x = 20 + 4 + 4
D. 4 = 20 + x + x
SOLUTION:
As given,The mirror is 4 feet wide and the wall is 20 feet wide.
The distance 'x' on each side of the mirror is x + x
4 feet wide + x + x = 20 feet wide
The mirror 4 feet wide + the distance x on each side of the mirror = the wall is 20 feet wide
Therefore, the correct option is A
The measure of a straight angle (2x+50) (6x+2)
Answer:
see below
Step-by-step explanation:
If the two angles form a straight angle, their sum is 180
2x+50 + 6x+2 = 180
Combine like terms
8x +52 = 180
Subtract 52 from each side
8x+52-52 = 180-52
8x =128
divide each side by 8
8x/8 = 128/8
x =16
2x+50 = 2(16)+50 = 32+50 = 82
6x+2 = 6(16)+2 =96+2 = 98
HELP!!! Cumulative Exam!! Which is the simplified form of m Superscript negative 8 p Superscript 0? StartFraction 1 Over m Superscript 8 Baseline p EndFraction StartFraction 1 Over m Superscript 8 EndFraction StartFraction p over m Superscript 8 EndFraction m Superscript 8
Answer:
(B)[tex]\dfrac{1}{m^8}[/tex]
StartFraction 1 Over m Superscript 8 EndFraction
Step-by-step explanation:
We want to find the simplified form of: [tex]m^{-8}p^0[/tex]
[tex]m^{-8}p^0=m^{-8}$ X p^0\\p^0=1\\m^{-8}=\frac{1}{m^8} \\$Therefore:\\m^{-8}$ X p^0=\dfrac{1}{m^8} X 1\\=\dfrac{1}{m^8}[/tex]
The correct option is B.
Answer:
I am 80% sure its 1 if not then its 1/p
Step-by-step explanation:
Find the exact value of sin 300°.
Answer:
-0.86602540378 or -√3/2
2. Express as a unit rate.
a) Betty drives her car 150 km in 2 h.
150 km/2 =
Answer:
75 km per hour.Step-by-step explanation:
150km/2hr divided by two is 75 km/hr
A football coach walks 12 meters westward, then 16 meters eastward,
then 22 meters westward, and finally 6 meters eastward.
For this motion, what is the distance moved?
What is the magnitude and direction of the displacement?
Answer:
Total distance traveled = 56 m
Total displacement is 12 m
Direction of coach is westward
Step-by-step explanation:
It is given that football coach first go 12 meter westward then 16 meter eastward.
So no position of coach in eastward direction = 16 - 12 = 4 m
And then 22 m west westward
Therefore position of coach now is 22-4 = 18 m westward
And finally 6 m eastward
Therefore final position of coach is 18-6= 12 m westward
So displacement of coach is 12 m and direction is westward.
Total distance traveled = 12+16+22+6= 56 m
Answer:
right
Step-by-step explanation:
