Answers
Step-by-step explanation:
Objective: Solving Piecewise Functions
Analyze the info in the graph.
We know that if x=1, the graph will coincide at 5.
If x is greater than 1, the answer will be x squared it answer so any positve interger greater than 1 the answer is that squared.
If x is less than 1, the answer will be double that x.
Let check the answer choices.
A is wrong because x is less than 1 so the answer should be 2(-2)=-4 not 4.
C is Wrong, since 5 is greater than 1, it must be 25 so 5^2=25
D and B are both right, 2 is greater than 1 so 2 squared =4 and Whenever x=1, it will equal 5.
Related Questions
can you solve this problem please
Answers
Answer:
k = 11
Step-by-step explanation:
Given the points are collinear then the slopes between consecutive points are equal.
Using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (5, 1) and (x₂, y₂ ) = (1, - 1)
m = [tex]\frac{-1-1}{1-5}[/tex] = [tex]\frac{-2}{-4}[/tex] = [tex]\frac{1}{2}[/tex]
Repeat with another 2 points and equate to [tex]\frac{1}{2}[/tex]
with (x₁, y₁ ) = (1, - 1) and (x₂, y₂ ) = (k, 4)
m = [tex]\frac{4+1}{k-1}[/tex] , then
[tex]\frac{5}{k-1}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
k - 1 = 10 ( add 1 to both sides )
k = 11
Explanation:
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Answers
Answer:
[tex]\sqrt{x+6}[/tex]
Step-by-step explanation:
So, there are a few things we need to go over to graph a function,
When a number is outside of a root, it changes the y value. For example:
y=[tex]\sqrt{x}+6[/tex]
With the +6, y will always be 6 higher than normal.
If it was -6, then y will always be 6 lower than normal.
What if the number is inside the root? Well, it works a little differently.
Instead of changing the y value, it changes the x value. For example:
y=[tex]\sqrt{x+6}[/tex]
So if you put a number in for x, lets say -6, wht would you get?
You would get -6+6=0
The square root of 0 is 0, so when x=-6, y=0
Normally, x would have to equal 0 for the y value to be 0.
So basically, when we see the number isnide of the root, we can think the our x coordinate being subtracted by that number.
This makes since, because if we subtract the +6 from x:
x-(+6)= x-6, and -6 is our x coordinate.
If it was -6 at the start, this would also work:
x-(-6)= x+6. So our x coordinate would start at 6.
Now, lets look at our graph.
As we can see, the x values start at -6, and the y values starts at 0.
This eliminates A and D, since the +6 would change the y value, not the x.
Remember that x-6 would make x a postive 6.
x+6 however, would make x a negative 6.
So we need x+6 in a square root.
This eliminates B, since it has a x-6, making the x coordinate postive 6, not negative 6.
So c is our answer.
Hope this helps!
What is the midpoint of the line segment with endpoints (-1,7) and (3, -3)?
A. (1, 2)
B. (1,4)
C. (2, 4)
D. (2, 2)
Answers
I need help
Solve the expression when X =5;3(X+2)=
Answers
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {21}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]3 \: ( \: x + 2 \: )[/tex]
Plugging in the value [tex]x = 5[/tex] in the above expression, we have
[tex] = 3\:( \: 5 + 2 \: )[/tex]
[tex] = 3 \: ( \: 7 \: )[/tex]
[tex] = 3 \times 7[/tex]
[tex] = 21[/tex]
Note:-[tex]\sf\pink{PEMDAS\: rule.}[/tex]
P = Parentheses
E = Exponents
M = Multiplication
D = Division
A = Addition
S = Subtraction
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35☂}}}}}[/tex]
pleaaseee explain !!
Answers
Answer:
64
Step-by-step explanation:13+51=64
Use the drop-down menus to correctly relate each pair of numbers
manee help meh son
Answers
Answer:
Sorry for the late response, I had to have lunch.
1. >
2. =
3. <
4. >
Step-by-step explanation:
Have a great summer :)
decompose 17x^3+7x^2-17x-7 divided by (x-1)^2(x+1)^2 into partial fraction
Answers
..........................................................................................................................................................................................................................................................................................................................................................................................................................................................
John invested $30000 in the bank for 4 years. At the end of the period, he had
$42520. Calculate
a. the interest earned
b. the rate per annum at which simple interest was earned to 1 decimal place.
Answers
Answer:
Rate = 10.4%
Step-by-step explanation:
Given :
P = $30000
A = $42520
Interest earned = 42520 - 30000 = $12520
Time = 4years
Find R
[tex]Interest = \frac{PRT}{100}[/tex]
[tex]12520 = \frac{30000 \times R \times 4}{100}\\\\12520 = 300 \times 4 \times R\\\\12520 = 1200 \times R\\\\R = \frac{12520}{1200}\\\\R = 10.43 \%[/tex]
Round to 1 decimal place, Rate = 10.4%
A rectangular garden has a length that is modeled by the expression2X -7 and a width of 3X^2+4x. What is the area of the garden?
Answers
Answer:
A = 6x³ - 13x² - 28xStep-by-step explanation:
Area of rectangle:
A = lwGiven:
l = 2x - 7w = 3x² + 4xThe area is:
A = (2x - 7)(3x² + 4x) =
2x(3x² + 4x) - 7(3x² + 4x) =
6x³ + 8x² - 21x² - 28x =
6x³ - 13x² - 28x
Answer:
Area of rectangle = 6 x ³ - 13 x ² + 28
step by step explanation
Given That :-
Length of rectangle = 2 x - 7Width of rectangle = 3 x ²+ 4 xTo Find :-
Area of rectangleFormula Used :-Area of rectangle = Length × Width
Solution : -Using Formula
Area of rectangle = Length × Width
substitute the values.
Area of rectangle = ( 2 x - 7 ) × ( 3 x ² + 4 )
= 2 x ( 3 x ² + 4 ) - 7 ( 3 x ² + 4 )
= 6 x ³ + 8 x - 21 x ² + 28
= 6 x ³ - 13 x ² + 28
ANSWER PLZZZZZZ!!!!!!!!!!!!!!!
Answers
Answer:
length=(3x-2)
Step-by-step explanation:
area of rectangle=length*breadth
3x^2 + 7x - 6=length * (x+3)
3x^2 +(9-2)x -6=length *(x+3)
3x^2+9x-2x-6=length*(x+3)
3x(x+3)-2(x+3)=length*(x+3)
(x+3)(3x-2)=length*(x+3)
(x+3)(3x-2)/(x+3)=length
(3x-2)=length
Answer:
(3x - 2)
Step-by-step explanation:
Given that the area A = length × width
A = 3x² + 7x - 6 ← factor to obtain length
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 3 × - 6 = - 18 and sum = + 7
The factors are + 9 and - 2
Use these factors to split the x- term
3x² + 9x - 2x - 6 ( factor the first/second and third/fourth terms )
= 3x(x + 3) - 2(x + 3) ← factor out (x + 3) from each term
= (x + 3)(3x - 2)
We know (x + 3) is the width , then (3x - 2) is the length
what number represents the same amount as 4 tens+0 ones
Answers
4 tens= 10+10+10+10=40
and there’s no one’s so it’s just 40
hope that helped!
Find x if 5, 9, 11, 12, 13, 14, 17 and x have a mean of 12.
Answers
Answer: 15
Step-by-step explanation: 5+9+11+12+13+14+17=81
Make an equation based on this and solve for the variable (x)
81+x/8=12
12*8=96
81+x=96
96-81=15
x=15
A
B
С
D
If mZACD = 70°, then mZBCD = [? ]°
Answers
Answer:
35 is correct
Step-by-step explanation:
hope this helps.
Answer:
35°
Step-by-step explanation:
Angle ACD is 70°. The little tick marks on the angle mean both sides of the split are the same amount. This means if you divide the angle in half, you will find out what both of them are equal to.
2. The average daily rainfall in London during April was 3.5 mm. How much rain fell during the month?
Answers
Answer:
105mm
Step-by-step explanation:
To find the rainfall during the month of April simply multiply the number of days in April times the average daily rainfall
Number of days in April: 30
Average daily rainfall: 3.5mm
Rainfall during the month = 30 * 3.5 = 105mm
how to solve -4x+8y=-16
4x+3y=5
Answers
Answer:
X=2, y=-1
Step-by-step explanation:
-4x +8y=-16 equation 1
4x +3y=5 equation 2
11y=-11 add two equations to eliminate x
y=-1
solve for x by inputting y value into either equation
4x+3y=5
4x+3(-1)=5
4x-3=5
4x=8
x=2
12 less than a number is equal to the product of 7 and that number. Convert into an
equation and find the number?
Answers
Answer:
EQUATION: X - 12 = 7X. SOLUTION: X = - 2.
Step-by-step explanation:
First, we do not know the number. When the number is unknown, it is a variable. I chose the variable, "X."
12 less than signals that we subtract 12. So that would be X - 12.
A product of 7 AND that number means we multiply 7 by X. That can be notated as 7X.
12 less than X is EQUAL to the product of 7 and X. So X - 12 = 7X.
To find the solution, we want to know the value of X. Move X to one side of the equation.
X - 12 = 7X
-X -X
_________
-12 = 6X
Divide both sides by 6 to get X by itself.
X = - 2.
Two brothers are sharing a certain sum of money in the ratio 2/3 : 3/5, if the largest share was Gh¢500.00. How much was shared between them?
Answers
Given:
Two brothers are sharing a certain sum of money in the ratio [tex]\dfrac{2}{3}:\dfrac{3}{5}[/tex].
The largest share was Gh¢500.00.
To find:
The total amount shared between them.
Solution:
It is given that, two brothers are sharing a certain sum of money in the ratio [tex]\dfrac{2}{3}:\dfrac{3}{5}[/tex].
First we need to make the denominators common.
[tex]Ratio=\dfrac{2\times 5}{3\times 5}:\dfrac{3\times 3}{5\times 3}[/tex]
[tex]Ratio=\dfrac{10}{15}:\dfrac{9}{15}[/tex]
[tex]Ratio=10:9[/tex]
So, the two brothers are sharing a certain sum of money in the ratio 10:9.
Let the shares of two brothers are 10x and 9x respectively. So, the larger share is 10x.
It is given that the largest share was Gh¢500.00.
[tex]10x=500[/tex]
[tex]x=\dfrac{500}{10}[/tex]
[tex]x=50[/tex]
Now, the total amount shared between them is:
[tex]Total=10x+9x[/tex]
[tex]Total=19x[/tex]
[tex]Total=19(50)[/tex]
[tex]Total=950[/tex]
Therefore, the total amount shared between them is Gh¢950.00.
a + b3 - a ; a = 3, b = 2
Answers
Answer:
8
Step-by-step explanation:
a + b^3 - a
Simplify
b^3
Let b=2
2^3
8
Answer:
11
Step-by-step explanation:
If a = 3, and b = 2, then;
=> a + b³
=> 3 + 2³
=> 3 + 8
=> 11
Hope this helps!
Find the distance between the points given.
(-3,-4) and (0,0)
Answers
Answer: 5 Units
Step-by-step explanation:
Convert 23cm2 into mm2
Answers
Answer:
2300 mm^2
Step-by-step explanation:
What is the value of this expression when a = 7 and b = -4? 1201 - 6 3 OA. -6 OB. - 31 Oc. 37 D. 6
Answers
Answer:
OA . -6
Step-by-step explanation:
correct me if I'm wrong
A ruler cost x pence. A pen costs 10 pence more than the ruler. Write an expression, in terms of x, for the cost of a pen .
A. 10x pence
B. 10- x pence
C 10 pence
D.x + 10 pence
Answers
Answer:
D. x + 10 pence
Step-by-step explanation:
Since the pen costs 10 pence more than the ruler, we need to add 10 to x.
A square is inscribed in an equilateral triangle that is inscribed in a circle.
A square is inscribed in an equilateral triangle that is inscribed in a circle. The square and circle are shaded.
Which represents the area of the shaded region?
area of the circle – area of the square – area of the triangle
area of the triangle – area of the square + area of the circle
area of the triangle + area of the square + area of the circle
area of the circle – area of the triangle + area of the square
Answers
The area of the shaded region is (area of the circle) - (area of the square) - (area of the triangle)
Option A is the correct answer
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
The shaded region consists of the area inside the circle but outside the square, as well as the area inside the equilateral triangle but outside the square.
Now,
The area of the circle is πr²
Since the square is inscribed in the circle, the diameter of the circle is equal to the diagonal of the square.
Let's say the side length of the square is s.
By the Pythagorean theorem,
s² + s² = (diameter)²
2s² = (2r)²
s² = r²
The area of the square is s² = r².
The area of an equilateral triangle with side length s is √(3)/4 x s².
Since the side length of the square is equal to the height of the equilateral triangle, the side length of the equilateral triangle is also equal to s.
The area of the shaded region.
= (area of the circle) - (area of the square) - (area of the triangle)
Thus,
The area of the shaded region is (area of the circle) - (area of the square) - (area of the triangle)
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ7
I need helped really need this question to be answer!
Answers
Answer:
the answer for your question is b
Need help with probabilities (math) plz
Answers
Answer:
What is your question for probabilities?
Find the sum.
b/ b^2+4b+4 + 9/b^2+7b+10
Answers
Answer:
11b^3+14b^2+b+9
---------------------------
b2
Step-by-step explanation:
In a right triangle, sin(40 - 2) = cos(32)'. What is the value of x?
O 10
O 15
O 20
O 25
Answers
Answer:
x = 25
Step-by-step explanation:
Correct question
In a right triangle Sin (40-x)=cos(3x) what is the value of x
Since Sin theta = Cos(90-theta)
Sin (40-x) = Sin(90-3x)
40 - x = 90 - 3x
-x+3x = 90 - 40
2x = 50
x = 25
Hence the value of x is 25
Can someone help me
Answers
Step-by-step explanation:
the answer is in the above image
Answer:
[tex]-12^{2}[/tex] + 9a - 5
Step-by-step explanation:
combine like terms :
-7[tex]a^{2}[/tex] - 5[tex]a^{2}[/tex] = -12[tex]a^{2}[/tex]
+3a - (-6a) = 9a
-9 - (-4) = -5
Which is a better estimate for the length of a raisin?
A. 1 meter b. 1 centimeter
Answers
Answer:
1 centimeter
Step-by-step explanation:
nope
Evaluate 5-|-6|
1
11
-1
Answers
Step-by-step explanation:
(-) + (-) = (+)
=........ +1
Answer:
-1
Step-by-step explanation:
