Answer:
Final answer is p=2.
Step-by-step explanation:
Given equation is [tex]\frac{4-p}{p-1}=\frac{2}{p-1}[/tex]
Cross multiply
[tex]\left(4-p\right)\left(p-1\right)=2\left(p-1\right)[/tex]
[tex]4p-4-p^2+p=2p-2[/tex]
[tex]4p-4-p^2+p=2p-2[/tex]
[tex]0=p^2-4p+4-p+2p-2[/tex]
[tex]0=p^2-3p+2[/tex]
[tex]0=p^2-1p-2p+2[/tex]
[tex]0=(p-1)(p-2)[/tex]
[tex]0=(p-1)[/tex] or [tex]0=(p-2)[/tex]
[tex]1=p[/tex] or [tex]2=p[/tex]
But p=1 will make denominator 0 and make the problem not defined.
Hence final answer is p=2
Pls help asap....tia
Answer:
2541 peanut cookies were sold
Step-by-step explanation:
A system of equations can be written to match the problem description. Let p and c represent the initial numbers of peanut and chocolate cookies, respectively. Then we have ...
p - c = 1820 . . . . Lyn had 1820 more peanut cookies
After selling 35% of her peanut cookies, Lyn had 1-0.35 = 0.65 of the original number left. Likewise, after selling 15% of her chocolate cookies, she had 1-0.15 = 0.85 of the original number left. Then after the sales, the difference in cookie count was 95:
0.65p -0.85c = 95
We only need to know the original number of peanut cookies (p), so we can use Cramer's rule to find the solution for p.
p = (-95 +0.85·1820)/(-0.65+0.85) = 1452/0.20 = 7260
The original number of peanut cookies Lyn had was 7260, so the number she sold is ...
0.35 · 7260 = 2541
_____
Cramer's rule says the solution to ...
ax +by =c
dx +ey =f
is given by ...
x = (ec-bf)/(ea-bd)
y = (fa-cd)/(ea-bd)
Answer:
2541 cookie were sold
Step-by-step explanation:
which answer best describes the shape of this distribution
A. skewed right
B. skewed left
C. uniform
D. bell-shaped
Answer:
B.. skewed left
Step-by-step explanation:
Answer:
Option B. skewed left.
Step-by-step explanation:
In the figure attached maximum frequency of the data is at the 45. Distribution on the right side of the maximum frequency is upto 48 and in the left it is upto 36.
As we can see point 36 is more distant from peak point 45 as compared to point 48.
Therefore, distribution of the data is more in the left than in the right.
Therefore, the shape of this distribution is skewed left.
Option B. skewed left is the correct answer.
What is the perimeter of triangle ABC ? 11 units 14 units 16 units 20 units Coordinate graph showing triangle A B C. Triangle A B C has vertex A at negative 1 comma 1, vertex B at 2 comma 5, and vertex C at 5 comma 1.
Answer:
The perimeter is equal to [tex]16\ units[/tex]
Step-by-step explanation:
we have that
[tex]A(-1,1),B(2,5),C(5,1)[/tex]
The perimeter of triangle ABC is equal to
[tex]P=AB+BC+AC[/tex]
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
step 1
Find the distance AB
[tex]A(-1,1),B(2,5)[/tex]
[tex]AB=\sqrt{(5-1)^{2}+(2+1)^{2}}[/tex]
[tex]AB=\sqrt{(4)^{2}+(3)^{2}}[/tex]
[tex]AB=\sqrt{25}[/tex]
[tex]AB=5\ units[/tex]
step 2
Find the distance BC
[tex]B(2,5),C(5,1)[/tex]
[tex]BC=\sqrt{(1-5)^{2}+(5-2)^{2}}[/tex]
[tex]BC=\sqrt{(-4)^{2}+(3)^{2}}[/tex]
[tex]BC=\sqrt{25}[/tex]
[tex]BC=5\ units[/tex]
step 3
Find the distance AC
[tex]A(-1,1),C(5,1)[/tex]
[tex]AC=\sqrt{(1-1)^{2}+(5+1)^{2}}[/tex]
[tex]AC=\sqrt{(0)^{2}+(6)^{2}}[/tex]
[tex]AC=\sqrt{36}[/tex]
[tex]AC=6\ units[/tex]
step 4
Find the perimeter
[tex]P=5+5+6=16\ units[/tex]
Answer:
The answer is 16 untis
Step-by-step explanation:
Which coordinate pair identifies a point in the third quadrant of the coordinate plane?
A) (0, 6)
B) (−6, 2)
C) (2, −6)
D) (−6, −2)
Answer:
D, (-6,-2)
Step-by-step explanation:
the first quadrant of a coordinate plane has the x coordinate being a negative number, and the y coordinate being a positive number
the second quadrant of a coordinate plane has the x and y coordinates being a positive number
the third quadrant of a coordinate plane has the x and y coordinates being a negative number
the fourth quadrant of a coordinate plane has the x coordinate being a positive number, and the y coordinate being a negative number
i have attached a graph showing the quadrants for a visual point of view
The coordinate pair that identifies a point in the third quadrant of the coordinate plane, where both x and y coordinates are negative, is (-6,-2)
Explanation:The question is asking about identifying which pair of coordinates falls into the third quadrant of the coordinate plane in mathematics. The third quadrant in a coordinate plane is the bottom-left quadrant, where both the x and y coordinates are negative.
Looking at the options: A) (0,6), B) (-6,2), C) (2,-6), and D) (-6,-2); we can clearly see that option D) (-6,-2) is the point in the third quadrant, as both coordinates are negative. The pair (-6,-2) meets this description, with -6 on the x-axis and -2 on the y-axis. So, the correct answer is option D).
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Find an equivalent fraction for the decimal number. In your final answer, include all of your work.
0.901 recurring
Answer:
[tex]\frac{901}{999}[/tex]
Step-by-step explanation:
we know that
A Recurring Decimal, is a decimal number with a digit (or group of digits) that repeats forever.
In this problem we have
0.901 recurring
that means
0.901901901..
Let
[tex]x=0.901901901..[/tex]
Multiply x by a power of [tex]10[/tex], one that keeps the decimal part of the number the same:
[tex]1,000x=901.901901..[/tex]
Subtract [tex]x[/tex] from [tex]\\1000x[/tex]
[tex]1,000x-x=901.901901..-0.901901..=901[/tex]
The repeating decimals should cancel out
[tex]\\999x=901[/tex]
solve for x
Divide by [tex]999[/tex] both sides
[tex]990x/990=135/990[/tex]
[tex]x=\frac{901}{999}[/tex]
Find the slope of the line that passes through the points (-6,-8) and (-6,12)
Answer:
The slope is 0. However, it is a horizontal line where x=-6.
Step-by-step explanation:
Use the equation m= y2-y1/x2-x1 to get 12--8/-6--6. Two negatives means a positive, so you get 20/0. This means there is no slope, because you cannot divide by 0. However, you notice that both x-values are -6, so you can safely assume that there is a horizontal line where x=-6.
The slope is undefined and the line is vertical and parallel to the y-axis.
Given points (-6, -8) and (-6, 12)
First, the slope of line is
Slope= (change in y/ change in x
= (12 - (-8)) / (-6 - (-6))
= (12 +8) / (-6 +6)
= 20 /0
= ∞
Since we have a division by zero in the denominator, the slope is undefined.
This indicates that the line is vertical and parallel to the y-axis.
Thus, the slope is undefined.
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What is the square of 16
Answer:
Square root of 16 = 4
Square of 16 = 256
Hope this helps :)
Have a great day !
5INGH
Step-by-step explanation:
What’s is the answer?
Answer:
Option D)
Step-by-step explanation:
Given:
x= {2,3,4}
y={49,343,2401}
Points with coordinates (x,log(y)) are required to be plotted
Finding (x,log(y)):
log(y)= {log(49),log(343),log(2401)}
Log(49)=1.69020
log(343)=2.53529
log(2401)=3.38039
Now the transformed data set will be written in coordinates form:
(2,1.690),(3,2.535),(4,3.380)
Which is option D !
Select the expression below that is equal to 6(9 - m).
Answer:
The answer would be m= -9
Step-by-step explanation:
6(9-m)
You will multiply the 6 with the 9 and -m inside of the parenthesis
54-6m
Divide by -6 on both sides and you will get m= -9
I hope this helps you with this question and have a nice weekend
The equivalent expression to 6(9 - m) is 54 - 6m, determined by applying the distributive property of multiplication over addition and subtraction.
The expression given is 6(9 - m). To identify an expression equal to this, we should look for expressions that maintain the same relationship between the numbers and the variable m. When we distribute the 6 across the parentheses, we multiply 6 by 9, and 6 by -m, resulting in 54 - 6m.
Distributing a number across a subtraction in a parenthesis follows the distributive property of multiplication over addition and subtraction, which allows us to multiply each term inside the parentheses by the number outside.
Monica found the volume of the prism below using the expression
What errors did Monica make? Check all that apply.
For this case we have that by definition, the volume of a regular prism is given by:
V = B * h
Where:
B: It is the area of the base
h: It is the height of the prism
We have to:
[tex]B = 2 * 2 = 4 \ cm ^ 2\\h = 1 \frac {2} {3} = \frac {3 * 1 + 2} {3} = \frac {5} {3}[/tex]
Thus, the volume will be:
[tex]V = 4 * \frac {5} {3}\\V = \frac {20} {3} \ cm ^ 3[/tex]
ANswer:
[tex]V = \frac {20} {3} \ cm ^ 3[/tex]
Answer:
The answer is b and c
hope this helps!
Step-by-step explanation:
a number y increased by 5 is at most 28
The answer to your question is this:
[tex]y + 5\leq 28\\y\leq 23[/tex]
What is the value of X? Please help me with geometry.
Answer:
x=61
Step-by-step explanation:
X=61
Because (52+67)-180=61
a jar contains 32 red marbles and 28 blue marbles. what is the probability that a randomly selected marble is red
Answer:
The answer is 7/8 chance.
Step-by-step explanation:
To find this answer, you have to divide the blue marbles by red marbles. Then, you will get 28/32.
You can simplify it, so simplify it to the smallest possible number, therefore getting 7/8.
How much is 81% of 403?
Answer:
81% of 403 is.....326.43! (Rounding it to the nearest hundred gives '326')
Step-by-step explanation:
(P= Percentage / X= The number your finding the percentage of...)
Formula : X = P% * X
X = 81% * 403
Converting percent to decimal:
Converting percent to decimal:p = 81% ÷ 100 = 0.81
X = 0.81 x 403
X = 326.43
35. A 60° angle is complementary to an ang
that measures xº. Which of the following
equations represents this situation?
A 60 + X = 90
B 60 = x + 90
C 60+ x = 180
D. 60 = x + 180
Answer:
A. 60+x°=90
Step-by-step explanation:
Complementary angles add up to 90°.
What is the average rate of change for this exponential function for the interval from x=1 to x=3
The answer for this question is 3
Answer:
B. 3
Step-by-step explanation:
x=1 ; y = 2
x=3; y =8
the average rate of change = (8-2)/(3-1) = 6/2 = 3
Answer
B. 3
Please help!!!!!!!!!!!!!!
Answer:
12.5, not 100% sure though.
Answer:
Step-by-step explanation:
12.5 is right. Because it say similar to triangle XYZ
Consider the following graph of a piecewise-defined function.
Choose the correct expression to represent the piecewise-defined function.
Answer:
Step-by-step explanation:
When x<-2, f(x)=5
When -2<x<3, f(x)=2x+2
When x>3, f(x)=-3
Answer:
Step-by-step explanation:
Given is a graph of piecewise function.
We are given a horizontal line for
[tex]x<-2[/tex]
Hence [tex]f(x) = 5, x<-2[/tex] ... I
Whenever
[tex]-2\leq x<3[/tex], the graph is a line passing through (-2,-2) and (3,8)
Hence using two point equation we get
[tex]\frac{y+2}{8+2} =\frac{x+2}{3+2}\\5(y+2)=10(x+2)\\y=2x+2[/tex]...II
Again for
[tex]x>3\\y=-3[/tex]... III
I,II and III together give the piecewise funciton
How to evaluate 8(2/3)
8 times 2/3 is 16/3, which when simplified is 5 1/3
To evaluate 8(2/3), you need to multiply 8 by 2/3. The value of 8(2/3) is 16/3.
Explanation:To evaluate 8(2/3), you need to multiply 8 by 2/3. To do this, you can simplify 2/3 by dividing both the numerator and denominator by their greatest common factor, which is 1.
This simplifies 2/3 to 2/3. Then, multiply 8 by 2/3 to get the final answer.
8 x 2/3 = 16/3Therefore, the value of 8(2/3) is 16/3.
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Find the missing part
Answer:
[tex]\large\boxed{z=\dfrac{15\sqrt3}{2}[/tex]
Step-by-step explanation:
Lookat the picture.
We have
[tex]2a=15\to a=\dfrac{15}{2}\to a\sqrt3=\dfrac{15\sqrt3}{2}[/tex]
small triangle:
[tex]x=2a=\dfrac{15}{2}\to a=\dfrac{15}{4}\to y=\dfrac{15\sqrt3}{4}[/tex]
[tex]a+b=15\to b=15-\dfrac{15}{4}=\dfrac{60}{4}-\dfrac{15}{4}=\dfrac{45}{4}[/tex]
[tex]a=\dfrac{15}{4}\\\\b=\dfrac{45}{4}\\\\x=\dfrac{15}{2}\\\\y=\dfrac{15\sqrt3}{4}\\\\z=\dfrac{15\sqrt3}{2}[/tex]
PLZ Help. It will be very appreciated.
when the two books were published
Answer: It would be (B) because you don't actually have to know the date unless it is a part of the equation which you dont have to know in this question :)
Hope this will help you out :)
Find the zeros of the function
Answer:
7 ftStep-by-step explanation:
[tex]h(x)=-0.5(x^2-4x-21)\\\\\text{The zeros for}\ h(x)=0:\\\\-0.5(x^2-4x-21)=0\qquad\text{divide both sides by}\ -0.5\\\\x^2-4x-21=0\\\\x^2+3x-7x-21=0\\\\x(x+3)-7(x+3)=0\\\\(x+3)(x-7)=0\iff x+3=0\ \vee\ x-7=0\\\\x+3=0\qquad\text{subtract 3 from both sides}\\x=-3<0\\\\x-7=0\qquad\text{add 7 to both sides}\\x=7[/tex]
Help !!
Which transformation can not be used to prove that ABC is congruent to DEF ?
D
the answer is D. dilation cannot be used to prove this
The answer is D since dialation only beating to increase in size
What is the initial value of the exponential function shown
on the graph?
a.0
b.1
c.2
d.4
Answer:
a.0
Step-by-step explanation:
The exponential function levels at 0
Please give brainliest
given that (9,2) is on the graph of f(x), find the corresponding point for the function f(-3/4x)
Given the point (9,2) is on the graph of f(x), the corresponding point for the function f(-3/4x) is found by multiplying the x-coordinate of the given point by -3/4. This yields the corresponding point (-6.75, 2).
Explanation:The given point is (9,2). In the function f(-3/4x), the variable is multiplied by the factor -3/4. We apply this factor to the x-coordinate of the given point to find the x-coordinate of the corresponding point in the function f(-3/4x).
Therefore, the x-coordinate of the corresponding point is 9×-3/4 = -27/4 = -6.75. The y-coordinate remains the same because the transformation corresponds only to the x-coordinates of points. So, the corresponding point in the function f(-3/4x) is (-6.75,2).
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which polynomial is prime?
a) x^3+3x^2-2x-6 b)x^3-2x^2+3x-6 c)4x^4+4x^3-2x-2
d)2x^4+x^3-x+2
Answer: D. 2x4+x3–x+2 is prime
Step-by-step explanation:
NEED HELP ASAP SHOW WORK AND PLZ EXPLAIN
Answer:
x = 12
Step-by-step explanation:
Given
4(x - 5) = 8x + 4 - 6x ← distribute left side and simplify right side
4x - 20 = 2x + 4 ( subtract 2x from both sides )
2x - 20 = 4 ( add 20 to both sides )
2x = 24 ( divide both sides by 2 )
x = 12
The perimeter of the trapezoid shown is 6x+2 units. Find the length of the missing side
The missing length of the missing side is x+1.
To find the perimeter of this object, we need to know hat perimeter truly means.
Perimeter-The sum of all the sides.
The sides from the trapezoid are 3x+1, x , and x.
We combine like terms, so 3x + x + x = 5x
1 is the only number.
We are left off with 5x+1. Our objective is to get 6x+2.
How do we get there? We add 1x or x (1x and x) are the same thing, and we add one.
5x+1 + 1x + 1 = 6x+2;
Therefore the renaming length of the missing side is 1x+1.
Please give this the brainliest or give this a heart. If you need further help, please contact me on messages or on Instagram.
@jessmyybest
Answer:
x + 1
Step-by-step explanation:
Is that a lone x on the left hand side? I will assume so.
Let y be the value of the side marked with a ?.
x + 3x + 1 + x + y = 6x + 2 collect the like terms on the left.
5x + 1 + y= 6x + 2 Subtract 1 from both sides.
5x + 1-1 +y = 6x + 2-1 Combine
5x + y = 6x + 1 Subtract 5x from both sides.
5x-5x + y = 6x -5x +1 Combine
y =x + 1
The missing side is x +1
There are 5 red marbles, 8 blue marbles, and 12 green marbles in a bag.
What is the theoretical probability of randomly drawing a red marble?
25%
20%
62.5%
41.7%
Answer: Second Option
20%
Step-by-step explanation:
We have 5 red marbles, 8 blue marbles and 12 green marbles in a bag.
In total there are 5 + 8 + 12 = 25 marbles
This means that the experiment "get a marble out of the bag" has 25 possibilities.
Then, the chances of getting a red marble are 5, because there are 5 red marbles.
Finally the probability of drawing a red marble is:
[tex]P_{red} = \frac{5}{25}\\\\P_{red} = \frac{1}{5}\\\\P_{red} = 0.20[/tex]
[tex]P_{red} =20\%[/tex]
Human:
✧・゚: *✧・゚:* Answer: *:・゚✧*:・゚✧
✅ 20%
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Write the equation of the line that passes through the points (3, 6) and (5, 18) using function notation.
Answer:
[tex]f(x) = 6x -12[/tex]
Step-by-step explanation:
We must write the function of the line in the form [tex]f (x) = mx + b[/tex]
First calculate the slope m
[tex]m =\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]y_2 = 18\\y_1 =6\\x_2=5\\x_1=3[/tex]
[tex]m= \frac{18-6}{5-3} = 6[/tex]
Then
[tex]f(x) = 6x +b[/tex]
To have b replaced a point in the function
[tex]f(3)=6 = 6(3) +b\\\\6-18= b\\\\b=-12[/tex]
Finally the function is
[tex]f(x) = 6x -12[/tex]
ANSWER
[tex]f(x) = 6x - 12[/tex]
EXPLANATION
The given line passes through the points (3, 6) and (5, 18).
The slope of this line given by:
[tex]m = \frac{y_2-y_1}{x_2-x_1} [/tex]
We plug in the points to get,
[tex]m = \frac{18 - 6}{5 - 3} = \frac{12}{2} = 6[/tex]
The equation is given by
[tex]y-y_1=m(x-x_1)[/tex]
We plug in the point and the slope to get,
[tex]y - 6 = 6(x - 3)[/tex]
[tex]y - 6 = 6x - 18[/tex]
[tex] y = 6x - 18 + 6[/tex]
[tex]y = 6x - 12[/tex]
Using function notation, we have
[tex]f(x) = 6x - 12[/tex]