(4x−101)(2x+3)
Apply the distributive property by multiplying each term of 4x−101 by each term of 2x+3.
8x²+12x−202x−303
Combine 12x and −202x.
8x²−190x−303
Hi student, let me help you out! :)
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We are asked to find the value of x in [tex]\mathrm{(4x-101)(2x+3)}[/tex].
◈ Note:
⇛ We can't find the value of x, but we can simplify this expression.
This is how we'll simplify it:
◆ Multiply 4x times 2x and 3 first:
[tex]\large\pmb{4x\times2x=8x^2}[/tex]
[tex]\large\pmb{4x\times3=12x}[/tex]
Add the terms:
[tex]\large\pmb{8x^2+12x}[/tex]
Now, do the same thing with -101 - multiply that times 2x and 3:
[tex]\large\pmb{-101\times2x=-202x}[/tex]
[tex]\large\pmb{-101\times3=-303}[/tex]
Add the terms:
[tex]\large\pmb{-202x-303}[/tex]
Put all 4 of the terms together:
[tex]\large\pmb{8x^2+12x-202x-303}[/tex]
Combine like terms (12x and -202x):
[tex]\large\pmb{8x^2-190x-303}[/tex]
Hope it helps you out! :D
Ask in comments if any queries arise.
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The dimensions of the base of Box 1 are x by 3x.
The base area of Box 1 is:
O 3x
O 3x²
O 3x³
O4x
Answer:
3x^2
Step-by-step explanation:
Area = (length) x (width)
Area = (1x)*(3x)
Area = 3x^2
what are the zeos of f(x)=(x-1)(x+6)
The zeroes of the given polynomial is 1 and -6.
What is Polynomials?A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
Here, given equation;
f(x) = (x - 1)(x + 6)
for finding the zeros of the equation we need to put.....f(x) = 0
0 = (x - 1)(x + 6)
x - 1 = 0 or x + 6 = 0
x = 1 or x = -6
Thus, The zeroes of the given polynomial is 1 and -6.
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Graph f(x) = √x + 2 over the domain - 2 ≤x≤7.
Answer:
The Graph is included Bellow...
Step-by-step explanation:
This function will start at (0,2) and proceed to the right (based on its family function of √x) and since it has been shifted up 2 from f(x) then we will move two units up.
The domain can be considered the range from right to left that the function is restricted in. In this case, it starts at -2 (Which the function doesn't reach) and will stop at 7.
So the Graph you are looking for will start at (0, 2) and proceed to the right until (7, 4.6) ish. I have included a table to help your graph it!
Please Like if this helps!
What is the correct expanded from and value of 4^3
Answer:
4^3 = 4x4x4
Step-by-step explanation:
its just a shortened version of 4x4 3 times
a scientist notes that the number of bacteria in a colony is 50.3, hours later she notes that the number of bacteria has increased to 80. if this rate of growth continues, how much more time will it take for the number of bacteria to reach 1119?
The time it would take for the bacteria to reach 1119 is 5.83 hours
Calculations and Parameters:Given the function:
[tex]Pt= P_0e^k^t[/tex]
Initial amount= 50amount after 3 hours= 80To find the exponential growth;
80 = [tex]50e^k^*^3[/tex]
[tex]k= 1.6/3\\k= 0.533[/tex]
If there is a constant growth, then to get to 1119:
1119= [tex]50e^0^.^5^3^3^*t[/tex]
3.8 = 0.533*t
t= 5.83 hours
Therefore, it would take 5.83 hours for the bacteria to increase to 1119.
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Divide.
653 ÷ 8
81 R 3
81 R 5
82 R 3
82 R 5
653/8
=81 R 5
Step-by-step explanation:
when you divide 653 by 8 you get 82 reminder 5
to prove try multiplying 82 by 8 you will get 5 as the remainder
Find the degrees of freedom in a regression model that has 10 observations and 7 independent variables. a. 2 b. 17 c. 4 d. 3
The degrees of freedom in a regression model is 2 if the model that has 10 observations and 7 independent variables.
What is a degree of freedom?The amount of rows of training data used to fit the model equals the degrees of freedom.
Total observation = 10
Number of independent variables = 7
Degree of freedom for regression = 10 – 7 - 1
= 2
Thus, the degrees of freedom in a regression model is 2 if the model that has 10 observations and 7 independent variables.
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Which of the following functions is graphed below?
The option that is the functions is graphed below is known as option A = Y= (x+4) -2.
What is the function about?The function graphed above is Y=|x+4|-2 because when you solve for the graphs, the number in the x-axis is always changed or turned to the other side and there one can see that it would be -4 would be +4, and +4 and also -4.
Note that
Y = (x+4) -2.
x = (0 + 4) - 2
x = 4-2
x =2
Therefore, plug x into the equation.
Y = (x+4) -2.
= ( 2 + 4) - 2
= (6) -2
= 4
Therefore, The option that is the functions is graphed below is known as option A = Y= (x+4) -2.
See full question in the image attached.
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evaluate
8a-b
if a = 10 and b= 6
Answer:
74
Step-by-step explanation:
(8x10) - 6 =
80 - 6 = 74
Use the figure below to find the missing sides and angles.
Answer:
AC = BC = 5
AB = 5√2
∠A = ∠B = 45
∠A = 90
Step-by-step explanation:
AC = 5 ( Reason : 5 squares are present in between A and C )
Similarly,
BC = 5
By Pythagoras theorem,
(AB)² = (AC)² + (BC)²
= 5² + 5²
= 2 * 5²
(AB)² = 2 * 5²
AB = 5√2
Since, sides AC and BC are equal,
∠A = ∠B = 45
Since, AC is perpendicular to BC,
∠A = 90
2r + 3s = 14
2( )+ 3s = 14
+3s = 14
3s=
S =
Answer:
4
Step-by-step explanation:
3s=14-2
3s=12
3s/3=12/3
s=4
3(x + 4)(x - 5) answer to that
Answer:
3(x + 4)(x - 5) = 3x² - 3x - 60.
Step-by-step explanation:
3(x + 4)(x - 5)
Combine x + 4 and x - 5 using FOIL, or first, outer, inner, last.
F: x * x = x²
O: x * -5 = -5x
I: x * 4 = 4x
L: 4 * -5 = -20
3(x² - 5x + 4x - 20)
Simplify inside the parenthesis.
3(x² - x - 20)
Distribute the 3 into the equation.
3x² - 3x - 60
Find the area of a circle with diameter 14 m.
Use the value 3.14 for , and do not round your answer.
Be sure to include the correct unit in your answer.
14 m
Answer:
138.16
Step-by-step explanation:
Answer:
153.86 sq m
Step-by-step explanation:
Area if a circle is:
A = pi•r^2
You have diameter = 14, so the radius (the r in the formula) is HALF the diameter. The radius for your circle is 7.
Area = pi•7^2
The directions said to use 3.14 for pi and do not round.
A = 3.14•7^2
A = 3.14•49
A = 153.86m^2
The units are square meters.
If f(x)=5x^2-3x-1f(x)=5x 2 −3x−1, then what is the remainder when f(x)f(x) is divided by x+10x+10?
Answer:
[tex]5x-53+\frac{529}{x+10}[/tex]
Step-by-step explanation:
Find the mean from the following data:
1, 8, 3, 2, 8, 8
Answer:
5
Step-by-step explanation:
to find the mean you have to add up all the numbers so
1+8=9
9+3=12
12+2=14
14+8=22
22+8= 30
and then you divide by the amount of numbers which is 30 / 6 = 5
Hope This Helped
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{QUESTION READS}[/tex]
[tex]\large\textsf{Find the mean from the following data:1, 8, 3, 2, 8, 8}}[/tex]
[tex]\huge\textbf{A LITTLE BREAKDOWN OF MEAN}[/tex]
[tex]\large\text{To find the \underline{\underline{mean}} you have to ADD all of the numbers \& DIVIDE}\\\large\text{by the total numbers you have in your data plot..}[/tex]
[tex]\large\text{Here's the formula: }\large\boxed{\rm{\dfrac{the\ sum\ of\ all\ terms}{number\ of\ terms\ you\ have} = your\ \bf mean}}[/tex]
[tex]\huge\textbf{ANSWERING THE QUESTION}[/tex]
[tex]\large\text{Your equation: }\large\boxed{\rm{\dfrac{1 + 8 + 3 + 2 + 8 + 8}{6} = your \ \bf mean}}\\\\\large\boxed{\rm{\dfrac{1 + 8 + 3 + 2 + 8 + 8}{6}}}\\\\\large\boxed{\rm{= \dfrac{9 + 3 + 2 + 8 + 8}{6}}}\\\\\large\boxed{\rm{= \dfrac{12 + 2 + 8 + 8}{6}}}\\\\\large\boxed{\rm{= \dfrac{14 + 8 + 8}{6}}}\\\\\large\boxed{= \rm{\dfrac{22 + 8}{6}}}\\\\\large\boxed{= \rm{\dfrac{30}{6}}}\\\\\large\boxed{\rm{= 5}}[/tex]
[tex]\huge\textbf{MET THE ANSWER OF THE}\\\huge\textbf{QUESTION}[/tex]
[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{5}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]5(y+2/5)= -13 i think im solving for y
Answer:
y = -3
Step-by-step explanation:
5(y+2/5) = -13
distributive property ( 5 x y is 5y, 2 divided by 5 is 0.4 x 5 is 2.)
5y + 2 = -13
take away 2 from both sides (2 is currently positive, so doing opposite)
5y + 2 - 2 = -13 - 2
divide by 5 on both sides
5y = -15
y = -3
hope this helps
find the value of z?
hey guys can you help me with this question love
Answer: -∞ < x < ∞
Step-by-step explanation:
The domain is all the x-values, or inputs, of a function. The range is the y-values, or outputs, of a function.
In this case, we are looking for the x-values of the function. Since the function will keep going "out forever" in both directions, the answer should be the fourth option;
- ∞ < x < ∞
The first step that we must take to solving this problem is to fully understand what the problem statement is asking from us and what is given us to solve the problem. Looking at the problem statement, we can see that they are asking us to determine what the domain of the function is in the graph that was provided. However, first of all, let us define what domain is.
Domain ⇒ Domain is what x-values can be used in the function that is graphed. For example, if a line just goes side to side all the way to negative and positive infinity, then the domain would be negative infinity to positive infinity as it includes all of the x-values in it's solutions.Looking back at our problem, we can see that this is similar to the example that was provided in the definition. We can see that the parabola reaches out to both positive and negative infinity in the x-direction but at a slope. Although we can only see it reach -2 and 6 we know that the parabola continues going on even after that.
Therefore, looking at the options that were provided option D, -∞ < x < ∞ would be the best fit as it showcases that x reaches from negative infinity to positive infinity.
Pls help
The question is in the image below
Answer:
retang gular figure of 7 ft and 12 ft
Step-by-step explanation:
i want 100 thx
(A) Find the slope of the line that passes through the given points.
(B) Find the standard form of the equation of the line.
(C) Find the slope-intercept form of the equation of the line.
(-3,4) and (6,4)
(A) Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. The slope is m =
(Type an integer or a simplified fraction.)
B. The slope is not defined.
[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{4}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{(-3)}}} \implies \cfrac{0}{6 +3}\implies 0[/tex]
hmmm a line with a slope of 0 is a horizontal one, and it has no slope-intercept form.
Check the picture below.
Write a sine function that has an amplitude of 5, a midline of 3 and a period of 6pi/7
Answer:
y = 5sin(6π/7) + 3
The bar graph shows the numbers of reserved campsites at a campground for one week. What percent of the reservations were for Friday or Saturday? Write the percent as a mixed number in simplest form.
Answer:
3/2
Step-by-step explanation:
Which equation can be used to find marc m n? marc m n 150 = 180 marc m n 150 = 360 marc m n – 150 = 180 marc m n – 150 = 360
The complete question is
"Segment MP is a diameter of circle O. Circle O is shown. Line segment M P is a diameter. Line segment N O is a radius. Angle N O P is 150 degrees.
Which equation can be used to find mArc M N?
mArc M N + 150 = 180, mArc M N + 150 = 360, mArc M N – 150 = 180, mArc M N – 150 = 360"
The Equation m Arc(MN) + 150 = 180 is used to find mArc MN. Thus, the correct option is A.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
It is Given:
Segment MP is the diameter of circle O. Circle O is shown.
Line segment M P is a diameter.
Line segment N O is a radius.
∠NOP = 150°
We need to Find the Equation for m Arc MN
We already know the Diameter subtends 180° as it is the half of Circle 360°
∠NOP = 150°
∴ m(Arc NP) = 150°
The measure of an arc is the measure of its central angle
Therefore,
m Arc Diameter = 180°
m Arc(MN) + m Arc(NP) = 180
m Arc(MN) + 150 = 180
Therefore, the Equation m Arc(MN) + 150 = 180 is used to find mArc MN.
Thus, the correct option is A.
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PLEASE HELP I’LL MAKE YOU THE BRAINIEST!! What is the value of x in simplest radical form
There are 30 students in a homeroom. How many different ways can they be chosen
to be elected President, Vice President, Treasurer, and Secretary?
You could vote on it? There are as many ways as you can think of. It’s not set in stone.
What is the range of the linear relation?
{(0.-6),
(2,-2),
(3.0)}
Help help help help help me
Answer:
Step-by-step explanation:
whats -6 times 3 over 2
Answer:
-9
Step-by-step explanation:
-6×3/2
-6×3=-18
-18/2
-9
Eliminate the parameter:
x = 2cost-1 y = 3sint+ 4
Answer:
Hi,
Step-by-step explanation:
[tex]\left\{\begin {array} {ccc}x&=&2*cos(t)-1\\y&=&3*sin(t)+4\\\end{array}\right.\\\\\\\left\{\begin {array} {ccc}\dfrac{x+1}{2}&=&cos(t\\\dfrac{y-4}{3}&=&sin(t)\\\end{array}\right.\\\\Squaring\\\\\boxed{(\dfrac{x+1}{2})^2+(\dfrac{y-4}{3})^2&=1}\\[/tex]
The curve is an ellipse having (-1,4) as center and half-axis (2 and 6)
Find the maclaurin series for f(x) using the definition of a maclaurin series. [assume that f has a power series expansion. Do not show that rn(x) → 0. ] f(x) = 5(1 − x)−2
Recall that for |x| < 1, we have
[tex]\displaystyle \frac1{1-x} = \sum_{n=0}^\infty x^n[/tex]
Differentiating both sides gives
[tex]\displaystyle \frac1{(1-x)^2} = \sum_{n=0}^\infty n x^{n-1} = \sum_{n=0}^\infty (n+1) x^n[/tex]
so that the Maclaurin expansion of the given function is
[tex]\displaystyle \frac5{1-x} = \boxed{\sum_{n=0}^\infty 5(n+1) x^n} = 5 + 10x + 15x^2 + 20x^3 + \cdots[/tex]