Answer:
You cant find this type of stuff on the internet without some shady questions.If your doing linear functions which im guessing basic algebra where ur from gof to google and look up linear funcion calc. The one by symbolab and try that . If it doesent work or dosent look right try some other calcs.
Which of the following is the equation of a circle with center (5, - 2) and a radius of 3?
a.(x-5)^2+(y+2)^2=9
b.(x+5)^2+(y-2)^2=9
c.(x-5)^2+(y+2)^2=3
d.(x+5)^2+(y-2)^2=3
Answer:
option a
Step-by-step explanation:
we know the equation of a circle is:
(x-x1)^2 +(y-y2)^2= r^2
center= (x1,y2)
radius =r
in this case we have:
center= (5,-2)
r=3
so we have:
(x-5)^2 +(y-(-2))^2=9
finally we have:
(x-5)^2 +(y+2)^2=9
26 POINTSSSS PLEASEEE HELPPPP
Answer:
3. 32:4
4. three times
Step-by-step explanations:
Are the equations lxl – 3 = 7 and [x] = 10 equivalent?
They're not equivalent.
[tex]|x|[/tex] (vertical bars) represents the absolute value of x. How it works is that it turns negative numbers positive but leaves 0 and positive numbers alone (hence it gets a number's distance from 0 on the number line).
[tex][x][/tex] (square brackets) usually represents the floor function, which returns the largest integer that is less than or equal to x. (The floor of x can also be written as [tex]\lfloor x \rfloor[/tex] --- it depends on what your textbook/source says).
To solve [tex]|x| - 3 = 7[/tex], you first transform it into the equivalent equation [tex]|x| = 10[/tex]. Then by definition of absolute value, there are only two solutions for the first equation: x = 10 or x = -10.
[x] = 10 has infinitely many solutions. For example, the floor of 10 is 10, so [tex][10] = 10[/tex], thus a solution for the second equation is x = 10
The floor of 10.1 is 10, so [tex][10.1] = 10[/tex], thus another solution for the second equation is x = 10.1.
The two equations do not have the same solution set (as x = 10.1 does not solve |x| - 3 = 7 but solves [x] = 10), so they're not equivalent.
Tom travels between the two mile markers shown and then finds his average speed in miles per hour. Select the three equations that represent this situation.
Answer:
1.5 hours is the correct answer !
Step-by-step explanation:
Speed is the rate of distance over time.
The equations are:
[tex]\mathbf{Speed = \frac{195\ miles}{3\ hours}}[/tex][tex]\mathbf{3\ hours \times Speed = 195\ miles}[/tex][tex]\mathbf{3\ hours = \frac{195\ miles}{Speed}}[/tex]The given parameters are:
[tex]\mathbf{(t_1,d_1) = (1:30pm,35miles)}[/tex]
[tex]\mathbf{(t_2,d_2) = (4:30pm,230miles)}[/tex]
So, the time difference is:
[tex]\mathbf{t=4:30pm - 1:30pm}[/tex]
[tex]\mathbf{t=3\ hours}[/tex]
The distance traveled is:
[tex]\mathbf{d = 230miles - 35miles}[/tex]
[tex]\mathbf{d = 195miles}[/tex]
Speed is calculated as:
[tex]\mathbf{Speed = \frac{Distance}{Time}}[/tex]
So, we have:
[tex]\mathbf{Speed = \frac{195\ miles}{3\ hours}}[/tex]
Multiply both sides by 3 hours
[tex]\mathbf{3\ hours \times Speed = 195\ miles}[/tex]
Divide both sides by Speed
[tex]\mathbf{3\ hours = \frac{195\ miles}{Speed}}[/tex]
Hence, the equations are:
[tex]\mathbf{Speed = \frac{195\ miles}{3\ hours}}[/tex]
[tex]\mathbf{3\ hours \times Speed = 195\ miles}[/tex]
[tex]\mathbf{3\ hours = \frac{195\ miles}{Speed}}[/tex]
Read more about speed and rates at:
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Which phrase matches the expression k - 5
A.) 5 less than k
B.) half of k
C.) k less than 5
D.) the k power or 5
Answer:
A
Step-by-step explanation:
If you choose any number 'k', then the result of subtracting 5 will be '5 less than k'.
Example: If k=6, k-5 is 1.
1 is 5 less than k=6.
The expression is also written as k less than 5. Then the correct option is C.
What is an equivalent expression?The equivalent is the expressions that are in different forms but are equal to the same value.
The expression is given as (k – 5).
The expression is also written as k less than 5.
Then the correct option is C.
More about the equivalent link is given below.
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least to greatest -3, 3 1⁄3, -3 3⁄4, 3 1⁄10
Answer:
-3 3/4, -3, 3 1/10, 3 1/3
Step-by-step explanation:
in negative numbers bigger number is always smaller in value and in fractions bigger numbers yet again if in a small portion is a smaller value
what is 1/2 to the power of -2
Answer:
4
Step-by-step explanation:
=(1/2)^-2
=(2/1)^2
=2^2
=4
Given: x - 7>-2.
Choose the solution set.
O fxIXER, x>-9)
O fxIXER, x>-5)
OxIXER,x>5)
OxIXER, x> 14)
Help me please
Answer:
C) {xIx=R (all real #'s) , x>5}
Step-by-step explanation:
If I am reading the options correctly it should be c since after u add 7 to both sides you get x>5
(pls give brainliest)
Solve for m
5m - 10m = 20
can anyone help me out?
Answer:
m=-4
Step-by-step explanation:
5m-10m=-10m+5m=-(10m-5m)=-5m=20
divide by 5 on both sides, -m=4
miltiply by -1 on both sides, m=-4
Answer:
m = - 4
Step-by-step explanation:
Given
5m - 10m = 20 ← simplify left side by combining terms
- 5m = 20 ( divide both sides by - 5 )
m = - 4
If m<M=4x, m<L=5x, and m<MKL=6x. find m<JKM.
((72
((132
((108
((120
Thank you so much!!
Answer:
The measure of angle JKM is 108°
Step-by-step explanation:
step 1
Find the value of x
we know that
The sum of the interior angles of a triangle must be equal to 180 degrees
so
∠M+∠L+∠MKL=180°
substitute the given values
4x+5x+6x=180°
15x=180°
x=12°
step 2
Find the measure of angle JKM
we know that
Angles MKL and JKM are supplementary angles
so
∠MKL+∠JKM=180°
6x+∠JKM=180°
substitute the value of x
6(12)+∠JKM=180°
∠JKM=180°-72°=108°
Answer:
108
Step-by-step explanation:
We know sum of all the 3 angles in a triangle is equal to 180. We can set up an equation for the triangle KML using the information given:
[tex]4x+5x+6x=180\\15x=180\\x=\frac{180}{15}=12[/tex]
So measure of Angle MKL is 6x, or 6(12) = 72
Now, we know Angle JKM + Angle MKL = 180 (straight line). Thus,
Angle JKM + 72 = 180
Angle JKM = 180 - 72 = 108
A cylindrical container has a height of 24 inches. Currently, the container is filled with water to a height of 18 inches. A leaky
faucet drips into the container, causing the height of the water in the container to increase by 2 inches per hour. The equation
below can be used to find t, the number of hours it would take to fill the container.
18 + ?t = 24
What number should be the coefficient of t?
Answer:
2
Step-by-step explanation:
The rate at which the height increases is 2 inches per hour. That is the slope of the equation.
18 + 2t = 24
The coefficient of t is 2.
Answer:
2
Step-by-step explanation:
We are given that a cylinder container has a height of 24 inches.
Currently, the container filled with water to a height=18 inches
If the height of the water in the container increase by 2 inches per hour
We are given that an equation which can be used to find the t in number of hours it would take to fill the container
We have to find the coefficient of t
In one hour, height increase=2 inches
In t hours, height increase=2t
According to question
[tex]18+2t=24[/tex]
Therefore, the coefficient of t is 2.
Hence, the number should be the coefficient of t=2
Identify any extraneous solution. See above pic
Answer:
There are no extraneous solutions
Reasoning:
An extraneous solution is a solution that isn't valid, it might be imaginary like the square root of a negative number.
first we want to isolate z:
1+sqrt(z)=sqrt(z+5)
^2 all ^2 all
(1+sqrt(z))(1+sqrt(z))=z+5
expand
1+2sqrt(z)+z=z+5
-1 -z -z -1
2sqrt(z)=4
/2 /2
sqrt(z)=2
^2 all ^2 all
z=4
Since there is one solution and it is a real number, there are no extraneous solutions.
[tex]D:z\geq 0\wedge z+5\geq 0\\D:z\geq 0\wedge z\geq -5\\D:z\geq0\\\\1+\sqrt z=\sqrt{z+5}\\1+2\sqrt z+z=z+5\\2\sqrt z=4\\\sqrt z=2\\z=4[/tex]
[tex]4\in D[/tex] so there are no extraneous solutions.
Which is the end point of a ray
Answer:
A ray has an endpoint at one end, and goes on infinitely in the other direction. An endpoint is shown with a point (usually including a label that is typically a single letter), and the infinite direction is shown with an arrow.
Factor completely, then place the answer in the proper location on the grid. 49x 2 + 42xy + 9y 2
Answer:
(7x + 3y)(7x + 3y) or we could write it as (7x + 3y)^2.
Step-by-step explanation:
49x 2 + 42xy + 9y 2
The square root of 49xy^2 = 7x and the square root of 9y^2 = 3y.
Now 7x *3y = 21xy and 2 * 21xy = 42xy so the factors are:
(7x + 3y)(7x + 3y).
49x 2 + 42xy + 9y 2 is a perfect square trinomial.
Answer:
[tex](7x+3y)(7x+3y)[/tex]
Step-by-step explanation:
We are given that an expression
[tex]49x^2+42xy+9y^2[/tex]
We have to find the factor of given expression
[tex](7x)^2+2\times (7x)\times 3+(3y)^2[/tex]
Identity:[tex](a+b)^2=a^2+2ab+b^2[/tex]
Using the identity,then we get
[tex](7x+3y)^2[/tex]
[tex](7x+3y)(7x+3y)[/tex]
Hence, the factor of given expression is given by
[tex](7x+3y)(7x+3y)[/tex]
Erika has three pieces of ribbon. Each piece is 25 yards long. She needs to cut pieces that are 22 inches long. What is the greatest number of 22-inch pieces that she can cut from the three pieces of ribbon?
Circle O has a circumference of 887 cm.
What is the length of the radius of the circle?
cm
Answer:
44cm
Step-by-step explanation:
Formula for circumference, C = 2πr
where r is the radius
r = C / 2π
= [tex]\frac{88\pi }{2\pi }[/tex]
=44 cm
Answer:
approximately 44 cm
Step-by-step explanation:
The formula for circumference of a circle of radius r is C = 2π·r. Solving for r, we get:
C
r = ------------
2π
and in this instance, r = 88π cm / 2π, or 44 cm
how do you solve ¾ = 1/12 x + 2?
Answer:
x=-15
Step-by-step explanation:
Change 2 to a denominator of 4 2x4=8
1/12x+8/4=3/4 (take away 8/4)
1/12x=-5/4 ( 5multiply by 12)
x=-60/4 (divided by 3)
x=-15
The perimeter of the rectangle below is 184 m .What is the value of y
Step-by-step explanation:
2x + 2y = 184 ---- eqn 1
y = 184 - 2x / 2
y = 92 - x ---- eqn 2
What is the range of f(x) = 3/4x – 4?
Answer:
(-∞, ∞).
Step-by-step explanation:
This function can have any real value.
Range = (-∞, ∞).
The range of f(x) = 3/4x – 4 is [tex]\( (-\infty, \infty) \)[/tex].
To find the range of the function [tex]\( f(x) = \frac{3}{4}x - 4 \)[/tex], we need to consider all possible output values of the function as x varies.
The function x is a linear function with a slope of [tex]\( \frac{3}{4} \)[/tex], which means it increases or decreases steadily as x increases or decreases, respectively. Since there are no restrictions on the domain of the function (i.e., x can take any real value), the range of the function is also unrestricted.
To find the range, we can examine the behavior of the function as x approaches positive infinity and negative infinity:
1. As x approaches positive infinity, [tex]\( f(x) \)[/tex] also approaches positive infinity.
2. As x approaches negative infinity, [tex]\( f(x) \)[/tex] also approaches negative infinity.
Therefore, the range of the function [tex]\( f(x) = \frac{3}{4}x - 4 \)[/tex] is all real numbers. In interval notation, we can represent the range as [tex]\( (-\infty, \infty) \)[/tex].
The wall is 12 feet long. They are placing studs every 18 inches. If there are studs on each end of the wall, how many studs will they place?
Answer:
9
Step-by-step explanation:
1 feet is 12 inches, so 12 feet is 12 * 12 = 144 inches.
If studs are placed 18 inches apart, in 144 inches, there will be:
[tex]\frac{144}{18}=8[/tex]
But remember, there is a stud at the very beginning (at 0 feet).
So in total there are going to be 9 studs
To find the number of studs placed on the wall, subtract 2 from the total number of spaces between the studs, making total as 10 studs.
Explanation:To find the number of studs placed on the wall, we need to calculate the number of spaces between the studs.
Since there are studs on each end of the wall, we subtract 2 from the total number of spaces.
The wall is 12 feet long, which is equal to 12 * 12 = 144 inches.
Each stud is placed every 18 inches, so the number of spaces between the studs is 144 / 18 = 8.
Therefore, the total number of studs placed is 8 + 2 = 10 studs.
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Which equation has x=4 as the solution? A) ^log 4 (3x+4)=2 B) ^log 3 (2x-5)=2 C) ^log x 64=4 D) ^log x 16=4
ANSWER
[tex] \log_{4}(3x + 4) = 2[/tex]
EXPLANATION
Consider the equation:
[tex] \log_{4}(3x + 4) = 2[/tex]
When we rewrite this logarithmic equation in the exponential form, we obtain:
[tex]3x + 4= {4}^{2} [/tex]
Note that to write a logarithmic equation in exponential form, the base of the logarithm is still the base in the exponential form.
We now simplify the RHS.
[tex]3x + 4 = 16[/tex]
Group like terms
[tex]3x = 16 - 4[/tex]
This implies that
[tex]3x = 12[/tex]
Divide both sides by 3
[tex] \frac{3x}{3} = \frac{12}{3} [/tex]
Simplify to get;
[tex]x = 4[/tex]
Hence the equation that has x=4 as a solution is
[tex] \log_{4}(3x + 4) = 2[/tex]
Another way to do this is to substitute x=4 into each equation. The equation that is satisfied is the correct choice.
Answer:
(A)
Step-by-step explanation:
on edg 2021
Which choice below is a boxplot for the following distribution?
66, 62,58,52, 48, 46, 44, 34, 33, 31, 31, 30, 27, 25, 24, 21, 19
Answer: b
Step-by-step explanation:
The boxplot of the distribution 66, 62, 58, 52, 48, 46, 44, 34, 33, 31, 31, 30, 27, 25, 24, 21, and 19 is given below.
The correct option is B.
The given distribution is as follows: 66, 62, 58, 52, 48, 46, 44, 34, 33, 31, 31, 30, 27, 25, 24, 21, 19.
To create a boxplot, we need to identify the minimum, lower quartile (Q1), median (Q2), upper quartile (Q3), and maximum values.
Arranging the data in ascending order, we have: 19, 21, 24, 25, 27, 30, 31, 31, 33, 34, 44, 46, 48, 52, 58, 62, 66.
The minimum value is 19, the maximum value is 66, and the median (Q2) is the middle value of the sorted data, which is 33.
To find the quartiles, we need to locate the positions that divide the data into quarters. The lower quartile (Q1) is the median of the lower half of the data, and the upper quartile (Q3) is the median of the upper half.
Counting from the minimum, we find that Q1 is 27, and counting from the maximum, we find that Q3 is 48.
With this information, the box plot is given in the attached image below.
Therefore, the correct option is B.
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use distributive property to rewrite the expression without parentheses
(y+6)9
Answer:
9y + 54
Step-by-step explanation:
Multiply 9 both terms inside the parentheses
y*9 + 6*9
9y + 54
Kevin bought seven tickets to the Haunted Graveyard at Lake Compounce for $209.93. How much does one ticket cost?
Answer:
$29.99
Step-by-step explanation:
This is a division problem.
$209.93/7 = $29.99
Answer: $29.99
Answer:
$29.99
Step-by-step explanation:
$209.93 divided by 7 is $29.99
What is the solution to the system of equations below?
2x+3y = 17
3x+6y= 30
Answer:
x = 4, y = 3 → (4, 3)Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}2x+3y=17&\text{multiply both sides by (-2)}\\3x+6y=30\end{array}\right\\\underline{+\left\{\begin{array}{ccc}-4x-6y=-34\\3x+6y=30\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad-x=-4\qquad\text{change the signs}\\.\qquad x=4\\\\\text{put the value of x to the first equation:}\\\\2(4)+3y=17\\8+3y=17\qquad\text{subtract 8 from both sides}\\3y=9\qquad\text{divide both sides by 3}\\y=3[/tex]
What is the product of -3x5y2 and 9x3y8?
For this case we must find the product of the following expression:
[tex](-3x ^ 5y ^ 2) * (9x ^ 3y ^ 8)[/tex]
Then, by definition of powers of the same base we have to put the same base and add the exponents:
[tex](-3 * 9) x^{5 + 3} (1 * 1)y^{8 + 2} =[/tex]
[tex]-27x ^ 8*1y ^ {10}[/tex]
ANswer:
[tex]-27x ^ 8y ^ {10}[/tex]
Solve 3 -x = 243 -5 1/5 5
Answer:
[tex]x=-243[/tex]
Step-by-step explanation:
The equation is
[tex]-3^{-5}=\frac{1}{x}[/tex]
Solve for x
we know that
[tex]-3^{-5}=-\frac{1}{3^{5}}=-\frac{1}{243}[/tex]
substitute
[tex]-\frac{1}{243}=\frac{1}{x}[/tex]
so
[tex]x=-243[/tex]
Answer:
-5
Step-by-step explanation:
in a parallelogram one of the angles is 65 degrees, find the the sizes for all.
Answer: Another angle would be 65 and two other angles would be 115.
Step-by-step explanation: Attachment shown.
Can someone please help me!!
Answer:
x = 6Step-by-step explanation:
Use Angle Bisector theorem (look at the picture).
We have the equation:
[tex]\dfrac{3}{x}=\dfrac{x-4}{4}[/tex] cross multiply
[tex]x(x-4)=(3)(4)[/tex] use the distributive property
[tex]x^2-4x=12[/tex] subtract 12 from both sides
[tex]x^2-4x-12=0\\\\x^2+2x-6x-12=0\\\\x(x+2)-6(x+2)=0\\\\(x+2)(x-6)=0\iff x+2=0\ \vee\ x-6=0[/tex]
[tex]x+2=0[/tex] subtract 2 from both sides
[tex]x=-2<0[/tex]
[tex]x-6=0[/tex] add 6 to both sides
[tex]x=6[/tex]
What are the domain and range of f(x)=(1/5)^x ?
A.)The domain is all real numbers. The range is all real numbers.
B.)The domain is all real numbers. The range is all real numbers greater than zero. C.)The domain is all real numbers greater than zero. The range is all real numbers. D.)The domain is all real numbers greater than zero. The range is all real numbers greater than zero.
The domain is the input value for x, which can be any real number.
The range would be the output value, which in this equation would be any number greater than 0.
The answer is B.
Answer:
ITS B
Step-by-step explanation:
Hope this helps