Answer:
Step-by-step explanation:
[tex](\frac{5}{7}-4)2+3+11=(\frac{5}{7}-\frac{4*7}{7})2+3+11\\\\=(\frac{5}{7}-\frac{28}{7})2+3+11\\\\=(\frac{-23}{7})2+3+11\\\\=\frac{-46}{7}+3+11\\\\=\frac{-46}{7}+14\\\\=\frac{-46}{7}+\frac{14*7}{1*7}\\\\=\frac{-46}{7}+\frac{98}{7}\\\\=\frac{-46+98}{7}\\\\=\frac{52}{7}\\\\=7\frac{3}{7}[/tex]
Factor completely 3x2 − 11x + 8
A. (x + 4)(3x - 2)
B. (x − 2)(3x − 4)
C. (x + 1)(3x − 8)
D. (x − 1)(3x − 8)
Answer:
The Answer is D. (x - 1) (3x - 8)
Step-by-step explanation:
So, we start with [tex]3x^2 - 11x +8[/tex].
First step is to break the expression into groups, by doing this, you get:
[tex]\left(3x^2-3x\right)+\left(-8x+8\right)[/tex]
Next, factor out the 3x from [tex]\left(3x^2-3x\right)[/tex]. By doing this, you should get:
3x(x - 1)
Then, factor out the 8x from [tex]\left(-8x+8\right)[/tex]. By doing this, you will get:
-8(x - 1)
Last, factor out the common term, x - 1, When you do this, you get:
(x - 1) (3x - 8)
Hope this helps!
Answer:
D.(x − 1)(3x − 8)
Step-by-step explanation:
In the image below, m2OMN = (2x+9) and m2 LMN = (6x-7) and m2 OML = 66.
Find m ZOMN and m LMN
Answer:
m<OMN = 25
m<LMN = 41
Step-by-step explanation:
m<OMN = 2x + 9
m<LMN = 6x - 7
m<OML = 66
m<OMN + m<LMN = m<OML
2x + 9 + 6x - 7 = 66
8x + 2 = 66
8x = 64
x = 8
m<OMN = 2x + 9 = 2(8) + 9 = 16 + 9 = 25
m<LMN = 6x - 7 = 6(8) - 7 = 48 - 7 = 41
Answer:
m<OMN = 25
m<LMN = 41
So this isn’t a test I just want to make sure I’m writing this correctly.
I have written 2x-18=-2y+12
Then I added 18 is that correct so far.
Answer:
[tex]3[/tex]
Step-by-step explanation:
[tex]2x-18=-2y+12[/tex]
[tex]y=12[/tex]
[tex]2x-18=-2(12)+12[/tex]
[tex]2x-18=-24+12[/tex]
[tex]2x-18=-12[/tex]
[tex]2x-18+18=-12+18[/tex]
[tex]2x=6[/tex]
[tex]\frac{2x}{2} =\frac{6}{2}[/tex]
[tex]x=3[/tex]
Answer:
x = 3
Step-by-step explanation:
=> 2x-18 = -2y+12
Given that y = 12
Putting in the above equation to get the value of x
=> 2x-18 = -2(12)+12
=> 2x-18 = -24+12
=> 2x-18 = -12
Adding 18 to both sides
=> 2x = -12+18
=> 2x = 6
Dividing both sides by 2
=> x = 3
Can someone help me ???????
Answer:
Step-by-step explanation:
15/3= 5
Orrrr
15/-3=-5
The function y = 100(0.5)
x
4
models the percent, y, of an initial dose of medicine remaining in a patientbloodstream after x hours.
Based on the model, what percent of the initial amount of medicine will remain in the patient’s bloodstream after 10 hours? Round to the nearest whole percent.
Answer:
18% , 27 Hours
Step-by-step explanation:
On edge 2020
The percentage of the initial amount of medicine that will remain in the patient’s bloodstream after 10 hours is, 17.7%.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Since, The function that models the percentage, y, of an initial dose of medicine remaining in a patient's bloodstream after x hours is given as,
⇒ [tex]y = 100 (0.5)^{x/4}[/tex]
Now, if we substitute the value of x as 10 because we need to find the percentage of medicine in the body after 10 hours.
Therefore, the value can be written as,
⇒ [tex]y = 100 (0.5)^{x/4}[/tex]
Put x = 10;
⇒ [tex]y = 100 (0.5)^{2.5}\\[/tex]
⇒ y = 17.677
⇒ y = 17.7
Thus, the percentage of the initial amount of medicine that will remain in the patient’s bloodstream after 10 hours is 17.7%.
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Mrs. Dombrowsky bought 27 books for the
class. What was the cost for one book if she
spent a total of $67.50?
Answer:
$2.50
Step-by-step explanation:
67.50/27 = 2.50
Answer:
$2.50
67.50/27 = 2.50
Step-by-step explanation:
The red figure is the transformed image of the blue figure. Malcolm correctly identifies a sequence of two transformations that can move the blue figure onto the red figure. Ursa correctly identifies a single transformation that can be used. Use the drop-down menus below to complete the statements describing the transformations they used.
Answer:
Step-by-step explanation:
Malcolm's transformation:
First, the blue image is reflected about the line y=-5
Then it is rotated 180 degrees around the point (0,-5)
(you can have other options this is just one example)
Ursa's transformation:
The blue image is reflected about the y axis
(you can have other options this is just one example)
First the blue image with coordinates (x, -y) is translated to get (-x, -y) then it is rotated 180° to get the point (-x, -y) which is the coordinate of the pink image.
What is transformation?A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.
First the blue image is translated
Then it is rotated 180° to get the red figure with coordinates (-x, -y)
Two transformation that is equivalent to a reflection
Hence, the two transformations are;
First the blue image with coordinates (x, -y) is translated to get (-x, -y)
Then it is rotated 180° to get the point (-x, -y) which is the coordinate of the pink image.
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What is m∠D? Enter your answer in the box.
Answer:
D = 32
Step-by-step explanation:
A+ B + E = 180 since they form a triangle
14+ 45 + E = 180
E = 180 -14-45
E =121
E on either triangle is the same since they are vertical angles
C+D+E = 180 since they form a triangle
27+ D + 121 = 180
D = 180-121-27
D =32
How many one-half cubes with dimensions of 1\2x1x1 fit in a unit cube?
0 1
O 2
Answer:
2 half cubes
Step-by-step explanation:
this has only half the width, you just need 1 more to make a whole, therefore 2
Triangle JKL has vertex coordinates J(0,-3), K(-1,0), and L(-2,-1). It is reflected across the line y = x. What are the coordinates of J’K’L?
A. J’(0,-3), K’(1,0), L’(2,-1)
B. J’(-3,0), K’(0,-1), L’(-1,-2)
C. J’(3,0), K’(0,1), L’(1,-2)
D. J’(0,3), K’(-1,0), L’(-2,1)
Answer:
B
Step-by-step explanation:
Under a reflection in the line y = x
a point (x, y ) → (y, x ), thus
J(0, - 3 ) → J'(- 3, 0 )
K(- 1, 0 ) → K'(0, - 1 )
L(- 2, - 1 ) → L'(- 1, - 2 )
Answer:
yee its B
Step-by-step explanation:
Solve the following quadratic equation using the quadratic formula.
5x^2– 8x+ 5 = 0
Write the solutions in the following form, where r, s, and tare integers, and the fractions are in simplest form.
R+ si/t, x=r+si/t
Answer:
Either
x = 4+3i /5 or x = 4-3i /5
Step-by-step explanation:
To solve the quadratic equation using the quadratic formula, we will follow the steps below;
write down the quadratic formula;
x = -b±√b² - 4ac /2a
First lets compare the equation 5x² - 8x + 5 = 0 to the standard quadratic equation ax² + bx + c
a = 5 b = -8 and c= 5
we can now proceed to substitute the above value into the quadratic formula and then solve. That is;
x = -b±√b² - 4ac /2a
= -(-8)±√(-8)² - 4(5)(5) /2(5)
= 8 ±√64-100 /10
=8 ±√-36 /10
= 8 ±√36 . √-1 /10 note that √-1 = i
=8±6i /10
=[tex]\frac{8}{10}[/tex] ± [tex]\frac{6 i}{10}[/tex]
=[tex]\frac{4}{5}[/tex] ±[tex]\frac{3i}{5}[/tex]
Either
x = 4+3i /5 or x = 4-3i /5
Answer:
answer in picture
Step-by-step explanation:
What value of b will cause the system to have an infinite
number of solutions?
y = 6x-b
3x+1/2y=-3
-3x + 2 y = -3
b =
O 2
X
04
6
8
Answer:
6
Step-by-step explanation:
Given the system of equations:
y = 6x-b (eq. 1)
-3x+1/2y = -3 (eq. 2)
We can rewrite eq. 1 as follows:
-6x + y = -b
Dividing by 2:
(-6x + y)/2 = -b/2
-6x/2 + y/2 = -b/2
-3x + 1/2y = -b/2
The system of equations will have infinite number of solutions if both equations are equal. Therefore:
-b/2 = -3
b= -3*(-2)
b = 6
PLEASE HELP ASAP- What is the quotient of the integers closest to the square root of 254 and the square root of 62?
Answer:
2
Step-by-step explanation:
sqrt(254) is in between 15 and 16, closer to sqrt(256), which is 16
sqrt(62) is in between 7 and 8, closer to sqrt(64), which is 8
thus 16/8 is 2
Which of the following graphs represents exponential decay?
Answer:
C
Step-by-step explanation:
C is the only viable answer, because it it the only one that decreases as x approaches infinity. Exponential decay decreases, hence the decay part.
The graph of the unknown function C represents exponential decay.
The correct option is C.
What is exponential decay?An exponential function's curve is created by a pattern of data called exponential decay, which exhibits higher decreases over time.
The exponential decay function:
Aₙ = A₀(1-r)ˣ, where y = Final amount, A₀ = Initial amount, r = Rate of decay in decimal form, x = Time.
Given:
Two graphs of the unknown functions are given.
And when the value of x approaches to positive infinity,
the value of y decrease exponentially.
And from the above definition,
the graph is C.
Therefore, the graph is C.
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Factor. x2−8x+16
(x+8)2
(x−4)2
(x+4)2
(x−8)2
Answer:
B
Step-by-step explanation:
[tex]x^2-8x+16= \\\\(x-4)(x-4)=\\\\(x-4)^2[/tex]
You can confirm this by working in reverse:
[tex](x-4)^2= \\\\(x-4)(x-4)=\\\\x^2-4x-4x+16=\\\\x^2-8x+16[/tex]
Hope this helps!
Answer:
(x−4)^2
Step-by-step explanation:
I did the test
Please someone help me, i need thier solve please my teacher told me to solve them
Answer:
A. Domain : (-∞, ∞)
B. Function is increasing in the interval (-2, 0) and (2, ∞)
Decreasing in the interval of (-∞, -2) and (0, 2).
Step-by-step explanation:
A. Given function is, y = |2x - 1|
This function is the transformed form of the parent function, y = |x|
Domain of the parent function is { x | x is a set of real numbers}
Therefore, domain of the transformed function will be the same as the domain of the parent function.
Domain of the function = {x | x is a real number}
B. Given function is f(x) = [tex](x^2-4) ^{\frac{2}{3} }[/tex]
Domain of the function : (-∞, ∞)
Critical points of the function are,
⇒ x = 0, ±2
Now we find the three intervals where we have to check the function to be increasing or decreasing.
(-∞ -2), (-2, 0), (0, 2), (2, ∞)
Derivative of the function f(x),
f'(x) = [tex]\frac{4x}{3(x^2-4)^{\frac{1}{3} } }[/tex]
Here, f'(x) < 0 for (-∞, -2)
f'(x) > 0 for (-2, 0)
f'(x) < 0 for (0, 2)
f'(x) > 0 for (2, ∞)
Therefore, given function is increasing in the interval (-2, 0) and (2, ∞)
And it's decreasing in the interval of (-∞, -2), and (0, 2).
If it doesnt work please just tell me :)
Answer:
33units^2 is the answer
Step-by-step explanation:
Question:
Consider the rectangle shown here.
A. State its area in square inches.
B. State its area in square feet, to the nearest tenth.
C. In general, A square inches equals how many square feet?
Answer:
A. Area in square inches = 1760 square inches
B. Area in square feet = 12.2 square feet
C. 1 square inch = [tex]\frac{1}{144}[/tex] feet
Step-by-step explanation:
Given,
Length of the rectangle (l) = 55 inches
Breath of the rectangle (b) = 32 inches
A. Area of the rectangle = length × breath
⇒ 55 × 32
⇒ 1760 square inches
Area in square inches = 1760 square inches
B. 1 foot = 12 inches
1 inch = [tex]\frac{1}{12}[/tex] feet
1 square inch = [tex]\frac{1}{144}[/tex] feet
∴ 1760 square inches = [tex]\frac{1760}{144}[/tex] feet
⇒ 12.2222 square feet
Area in square feet = 12.2 square feet
C. 1 square inch = [tex]\frac{1}{144}[/tex] feet
Find the distance of point U(2, 3) from point V(5, 7).
Answer:
5
Step-by-step explanation:
You can draw a point at (5,3) and call it point A.
Connect point A with V and U to get VA = 4 and UA = 3.
You get a right triangle and use pythagoream theroem. The answer is the root of 4^2 + 3^2 which equals to 5.
The answer is 5
A group of students is given a 10 by 10 grid to cut into individual unit squares. The challenge is to create two squares using all of the unit squares. Their teacher states that after the two new squares are formed, one should have a side length two units greater than the other. Which equation represents x, the side length of the greater square? x2 + (x – 2)2 = 10 x2 + 2x2 = 10 x2 + (x – 2)2 = 100 x2 + 2x2 = 100
Answer: It should be x^2 + (x-2)^2 = 100
Step-by-step explanation: the ^ is used to indicate an exponent when superscript is not available.
The solution to the correct equation will be x = 8. x -2 would be 6
8^2 = 64. 6^2 = 36. 64+36 = 100.
The equation that represents x, the side length of the greater square should be considered as the [tex]x^2 + (x-2)^2 = 100[/tex]
Calculation of the equation:Since
A group of students is given a 10 by 10 grid to cut into individual unit squares.
So here the equation be like [tex]x^2 + (x-2)^2 = 100[/tex]
Hence, The equation that represents x, the side length of the greater square should be considered as the [tex]x^2 + (x-2)^2 = 100[/tex]
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In the diagram below, if
AEB=50°, find the measure of
AED.
Answer: 130ᴼ
Step-by-step explanation:
BD is a straight line so AEB and AED add to equal 180ᴼ
180 - 50 = 130
Answer:
AED = 130
Step-by-step explanation:
AEB and AED form a straight line so they add to 180 degrees
AEB + AED = 180
50 + AED = 180
Subtract 50 from each side
AED = 180-50
AED = 130
which of the following circles lie completely within the fourth quadrant? Check all that apply.
Answer:
B and D
Step-by-step explanation
Answer:
B and D
Step-by-step explanation:
A farm is to be built in the shape of Quadrilateral ABCD, as shown below. All four sides are equal. A rhombus ABCD is shown with diagonal AC equal to 14.6 feet and diagonal BD equal to 12.1 feet What is the area of the farm? 48.4 square feet 53.4 square feet 88.33 square feet 117.76 square feet
Answer:
88.33.. ft²
Step-by-step explanation:
The area (A) of a rhombus is calculated as
A = [tex]\frac{1}{2}[/tex] product of diagonals , thus
A = 0.5 × 14.6 × 12.1 ≈ 88.33 ft²
Answer:
We could try another method to check, where we highlight each right angle as each is congruent from centre point.
1/2 7.3 base = 3.65 x 6.05 = 22.0825 x 4 = 88.33unit^2
Step-by-step explanation:
In the figure, PA and PB are tangent to circle O and PD bisects angle BPA. the figure is not drawn to scale
Answer:
C (46)
Step-by-step explanation:
Triangle PAO is congruent to Triangle PBO by Hypotenuse-Leg (I'm assuming you learned this already if you have this question let me know if you haven't). OA and OB are both radius of circle O, making them congruent because all radii are congruent. Also PO is congruent to PO by reflexive.
Angle AOC is the same thing is Angle AOP. Angle POB is congruent to Angle AOP by CPCTC (Congruent Parts of Congruent Triangles are Congruent). Therefore, Angle POB is 46 degrees.
What is the measure of arc AB? A) 60° B) 75° C) 125° D) 150°
Answer:
150
Step-by-step explanation:
The arc would be the same as the angle that is in it's center because this is a circle.
The measure of arc AB is equal to the 150 degree, as central angle is equal to the intercepted arc. Option D is the correct option.
What is the central angle of the arc?The central angle is the angle which is subtended by the arc of the circle at the center point of that circle. The formula which is used to calculate the central angle of the arc is given below.
[tex]\theta=\dfrac{s}{r}[/tex]
Here, (r) is the radius of the circle, (θ) is the central angle and (s) is the arc length.
In the given circle, suppose the center of it is O. The central angle AOB given as,
[tex]\angle AOB=150^o[/tex]
The central angle is equal to the intercepted arc of the angle. Thus,
[tex]\text {arc } AB=\angle AOB\\\text {arc } AB=150^o[/tex]
Thus, the measure of arc AB is equal to the 150 degree as central angle is equal to the intercepted arc. Option D is the correct option.
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algebra applications
Answer:
X=55°
Y=30°
Step-by-step explanation:
2y=x+5
Y=1/2x+2.5
3y+30=4x-100
3(0.5x+2.5)+30=4x-100
1.5x+7.5+30=4x-100
4x-1.5x=137.5
2.5x=137.5
X=55°
Y=30°
Answer:
[tex]x = 55\\y = 30\\[/tex]
Step-by-step explanation:
Finding x:
4x - 100 + x + 5 = 180 (Angles on a straight line)
5x - 95 = 180
5x = 180 + 95
5x = 275
Dividing both sides by 5
x = 55
Finding y:
2y + 3y +30 = 180 (Angles on a straight line)
5y = 180-30
5y = 150
Dividing both sides by 5
y = 30
What is the area of the figure?
2ft
1 1/3 ft
1/3 ft
5 ft
Answer:
12
Step-by-step explanation:
Given the translation T(3, -1), translate the ordered pairs (-3, 6) and (9, -8).
Answer:
[tex](-3,6) \implies (0,5)\\(9,-8) \implies (6,-9)[/tex]
Step-by-step explanation:
The translation [tex]T_{(3,-1)}[/tex] shows that we need to add three units to the x-cordinates and -1 units to y-coordinates, as follows
[tex](-3,6) \implies (0,5)\\(9,-8) \implies (6,-9)[/tex]
Therefore, the image of the coordinates are
[tex](-3,6) \implies (0,5)\\(9,-8) \implies (6,-9)[/tex]
Mention a few number systems and explain in brief
Answer:
Step-by-step explanation:
The system is common use is the decimal system which is based on 10;
So for example the number 45 :
45 = 4 * 10^1 + 5 * 10^0 and
132 = 1*10^2 + 3*10^1 + 2*10^0.
The single digits in the decimal system are 0,1,2,3,4,5,6,7,8 and 9 .
Then we have 10, 11 and so on
Then there is the binary system which is based on 2 digits
In this system there are only 2 digits 0 and 1, so
10 binary = 1*2^1 + 0*2*0 which is equivalent to 2 in the decimal system.
111 binary = 1*2^2 + 1*2^1+ 1*2*0 = 4 + 2 + 1 = 7 decimal
Another system is the octal system, based on 8.
The digits are 0,1,2,3,4,5,6,7
So 10 octal = 8 + 0 = 8 decimal
and 17 octal = 1*8^1 + 7* 8^0 = 8 + 7 = 15 decimal.
Graph the equation by plotting three
points. If all three are correct, the line
will appear.
2y = 3x + 11
Answer:
y=3/2x+11/2
Step-by-step explanation:
divide the whole thing by 2
2y=3x+11 divided by 2 equals
y-3/2x+11/2
then just plug in the 3 points
