Which function represents the graph below?
suppose that the function g is defined on the interval (-2, 2] as follows.
Answer:
We conclude that:
g(-1) = -1g(-0.25) = 0g(2) = 2Step-by-step explanation:
From the given function g(x)
g(x) = -1 if -2 < x ≤ -1
0 if -1 < x ≤ 0
1 if 0 < x ≤ 1
2 if 1 < x ≤ 2
When x = -1, then the correct value of g(-1) will be:
g(-1) = -1
The reason is that the output value of -1 includes the value of x = -1 in the interval, as -1 if -2 < x ≤ -1 .
When x = -0.25, then the correct value of g(-0.25) will be:
g(-0.25) = 0
The reason is that the output value of 0 includes the value of x = -0.25 in the interval, as 0 if -1 < x ≤ 0
When x = 2, then the correct value of g(2) will be:
g(2) = 2
The reason is that the output value of 2 includes the value of x = 2 in the interval, as 2 if 1 < x ≤ 2.
Therefore we conclude that:
g(-1) = -1g(-0.25) = 0g(2) = 2Suppose that the function g is defined, for all real number, as follows.
Answer:
g(-3) = [tex]\frac{17}{4}[/tex]
g(2) = -3
g(5) = [tex]-\frac{7}{4}[/tex]
Step-by-step explanation:
Let us solve the question
∵ g(x) = [tex]-\frac{3}{4}[/tex] x + 2, x ≠ 2
→ That means we can use it for any value os x except 2
∵ g(x) = -3, x = 2
→ That means we will use it only if x = 2
We want to find g(-3)
∵ x = -3 ⇒ ≠ 2
∴ We will use g(x) = [tex]-\frac{3}{4}[/tex] x + 2
→ Substitute x by -3
∵ g(-3) = [tex]-\frac{3}{4}[/tex] (-3) + 2
∴ g(-3) = [tex]\frac{9}{4}[/tex] + 2
∴ g(-3) = [tex]\frac{17}{4}[/tex]
We want to find g(2)
∵ x = 2
∴ We will use g(x) = -3
→ This is a constant function which means g(2) equal to -3
∴ g(2) = -3
We want to find g(5)
∵ x = 5 ⇒ ≠ 2
∴ We will use g(x) = [tex]-\frac{3}{4}[/tex] x + 2
→ Substitute x by 5
∵ g(5) = [tex]-\frac{3}{4}[/tex] (5) + 2
∴ g(5) = [tex]-\frac{15}{4}[/tex] + 2
∴ g(5) = [tex]-\frac{7}{4}[/tex]
Charlotte drives 7.6 miles round trip to work every day. How many miles does she drive to
and from work in 9 days?
Answer:
68.4 miles
Step-by-step explanation:
7.6 * 9 = 68.4
PLEASE HELP ME WITH THIS
Elijah started a college fund of $25,000 for a term of five years.The interest rate is 2.9 percent annually.How much interest will he have earned at the end of the term?
Answer:
Interest = Principal x rate x time
I = 25000(.029)(5) = $3,625
Step-by-step explanation:
How many terms are in this expression?
9+ 8d+b
5/8y² - 1 1/2y² + 3 =?
Answer:
-7/8y²+3
Step-by-step explanation:
It seems like we are just combining like terms here. Like terms have the same variable raised to the same power. We have three terms here: two of them are y² terms and one is just a 3, so we can combine those two like terms and then just add 3.
5/8y²-3/2y²= -7/8y²
Now we just plop the three on the end and we're done!
-7/8y²+3
Have a wonderful day!
If f(x) = 2/3x^2 +8 , what is the value of f(6)?
Answer:
f(6) = 32
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 2/3x² + 8
f(6) is x = 6
Step 2: Evaluate
Substitute in x: f(6) = 2/3(6)² + 8Exponents: f(6) = 2/3(36) + 8Multiply: f(6) = 24 + 8Add: f(6) = 32Answer:
f(6)= 72
Step-by-step explanation:
f(6)= 72
to evaluate:
substitute x = 6 into
f(x)f(6)= 23 × (6) 2 + (8×6)×x = 231 × 3612+ 48
Write an expression to represent the original tiles then simplify.
A. 2x + (-2x) + 4 + (-3) = ?
B. Original version = simplified version
(Look above for picture)
90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you
please explain thanks
[tex]\large\boxed{\pink{\sf \leadsto Value \ of \ LM \ is \ 11 \ units . }}[/tex]
Step-by-step explanation:A figure is given to us in which we can see two triangles one is ∆ MPL and other is ∆MPN .
Figure :-
[tex]\setlength{\unitlength}{1 cm}\begin{picture}(12,12)\linethickness{0.25mm}\put(0,0){\line(1,2){2}} \put(0.001,0){\line(1,0){4}}\put(2,0){\vector(0,1){5}}\put(4,0){\line( - 1,2){2}}\put(0,-0.4){$\bf L $}\put(2,-0.4){$\bf P$}\put(4,-0.4){$\bf N $}\put(2.2,4){$\bf M $}\put(2.8, - .4){$\bf 5 $}\put(1, - .4){$\bf 5 $}\put(3.4, 2){$\bf 11 $}\put(2.3,0){\line(0,1){.3}}\put(2.3,.3){\line( - 1,0){.3}}\end{picture}[/tex]
[tex]\underline{\blue{\sf In\: \triangle MPL \ \& \ \triangle MPN :- }}[/tex]
[tex]\qquad \bullet LP = PN = 5 \:\:(given) \\\\\qquad \bullet MP = MP \:\:(Common) \\\\\qquad \bullet \angle MPN = \angle MPL = 90^{\circ} \:\: (given) [/tex]
Hence by SAS congruence condition ,
[tex]\orange{\bf \triangle MPL \cong \triangle MPN }[/tex]
Hence by cpct ( Corresponding parts of congruent triangles ) we can say that , LM = NM = 11 units .
Hence the value of LM is 11 units .Name a fourth point in plane TUW
Answer: Z
I hope this helps !!
midpoint between 10,0
Answer:
The correct answer is 5
Step-by-step explanation:
Please Help Me!!!!!!
Answer:
b
the only y values the lines touch are from zero to eight.
Step-by-step explanation:
The 3 x 5 matrix shows the number of sandwiches sold over five days at the school canteen. What does the number tell you which is: (06 Marks) (a) in the second row and the third column (b) in the third row and the fourth column (c) in the first row and the fifth column M T W T F Cheese 50 45 52 47 39 Salad 61 44 48 38 51 Chicken 53 46 39 42 52
Answer:
a. 48 salads were bought on Wednesday
b. 42 chickens were bought on Thursday
c. 39 cheese were bought on Friday
Step-by-step explanation:
Given
[tex]------- M -- T - W -- T -- F[/tex]
Cheese ----- 50 -- 45 - 52 - 47 --39
Salad -------- 61 -- 44 - - 48 - 38 -- 51
Chicken ---- 53 -- 46 - - 39 - 42 -- 52
First, it should be noted that the horizontal data represent the row while the vertical data represent the column.
Having said that, the solution is as follows:
Solving (a): Second Row, Third column
The data at the second row are:
[tex]------- M -- T - W -- T -- F[/tex]
Salad -------- 61 -- 44 - - 48 - 38 -- 51
The data at the third column is then limited to:
------------------W
Salad -------- 48
So the number at this position implies that: 48 salads were bought on Wednesday
Solving (b): Third Row, Fourth column
The data at the second row are:
[tex]------- M -- T - W -- T -- F[/tex]
Chicken ---- 53 -- 46 - - 39 - 42 -- 52
The data at the fourth column is then limited to:
------------------- T
Chicken ---- 42
So the number at this position implies that: 42 chickens were bought on Thursday
Solving (c): First Row, Fifth column
The data at the first row are:
[tex]------- M -- T - W -- T -- F[/tex]
Cheese ----- 50 -- 45 - 52 - 47 --39
The data at the fifth column is then limited to:
------------------F
Cheese ----- 39
So the number at this position implies that: 39 cheese were bought on Friday
Which of the points below does not belong?
(0, -3)
(0, 0)
(4, -3)
(4,0)
Answer:
c
Step-by-step explanation:
1. Given the production function: Q = A L½ K½ What returns to scale, does this function exhibit? Why?
Answer:
a. This function therefore exhibits a constant return to scale.
b. The reason is that the sum of the exponents of the multiplicative factor a is equal to 1.
Step-by-step explanation:
The given production function is first correctly stated as follows:
Q = A L^½ K^½ .......................... (1)
In order to know the returns to scale this function exhibits, the input K and L are scaled by the multiplicative factor a which is included in equation (1) as follows:
Q = A (aL)^½ (aK)^½
Q = A a^½L^½ a^½K^½
Q = A a^½ a^½ L^½ K^½
Q = A a^(½+½) L^½ K^½
Q = A a^1 L^½ K^½ ......................... (2)
Based on the equation (2), we now answer the following questions:
a. What returns to scale, does this function exhibit?
This function therefore exhibits a constant return to scale.
b. Why?
The reason is that the sum of the exponents of the multiplicative factor a in equation (2) is equal to 1.
What is the solution of StartRoot negative 4 x EndRoot = 100?
Answer:
x=-2500
Step-by-step explanation:
[tex]\sqrt{-4x} =100\\\\(\sqrt{-4x})^2=100^2\\\\-4x=10,000\\\\x=-\frac{10000}{4}\\\\x=-2500[/tex]
The given can be solved by simplifying the equation to make x the subject
of the equation.
The solution of the equation is x = -2,500Reasons:
The equation is; √(-4·x) = 100
The above equation can be expressed as follows;
[tex]\displaystyle \sqrt{-4 \cdot x} = \left(-4 \cdot x \right)^{\frac{1}{2} } = \mathbf{100}[/tex]By squaring both sides, we get;
[tex]\displaystyle \mathbf{ \left(-4 \cdot x \right)^{\frac{1}{2} \times 2 }} = 100^2[/tex]
Which gives;
[tex]\displaystyle \left(-4 \cdot x \right)^{\frac{1}{2} \times 2 } = \left(-4 \cdot x \right)^{1 }= -4 \cdot x = 100^2[/tex]
[tex]\displaystyle -4 \cdot x = 100^2 = 100 \times 100 = \mathbf{10,000}[/tex]
[tex]\displaystyle -4 \cdot x = 10,000[/tex]
Dividing both sides by -4 gives;
[tex]\displaystyle x = \mathbf{ \frac{10,000}{-4} } = -2,500[/tex]
Therefore'
x = -2,500
The solution of the equation √(-4·x) = 100 is; x = -2,500
Learn more about solving equations here:
https://brainly.com/question/7187454
What is the composition of the translations (T ∘ T ) (x, y) as one translation
Answer:
Step-by-step explanation:
__ 62, 82, 102, __, 142, 162, 182, __, 222 fill in the blanks
Answer:
42, 122, 202,
Step-by-step explanation:
.................
Answer:
42, 122, 202
Step-by-step explanation:
The sequence is going up by 20s.
SOLVE FOR X please help !!!!!!!!!!!
think of it as half a circle which all equals up to 180 degrees
subtract 180 degrees with 62 degrees which 62 degrees is in the problem.
180-62=118 degrees
so your answer is C) 118 degrees
hope that helped you out:)
Please mark my answer brainiest
For what values of is the quadratic
function f (c)=22 – 20 – 24
positivie
Answer:
5485/45
Step-by-step explanation:
Which of these triangle pairs can be mapped to each other using a translation and a rotation about point A?
What integer represents a decrease of 5 degrees?
Answer:
-5
Step-by-step explanation:
integer is just a whole number that is not a decimal if decrease 5, its -5
Answer:
-5
Step-by-step explanation:
decrease is negative
hope this helps, pls marks brainliest :D
7. A shirt marked at $600 is sold at 30% off.
(a) Find the selling price of the shirt.
(b) If the shirt is sold at a profit of 5%, find the cost pric
Answer:
a) $420 b) $399
Step-by-step explanation:
a) $600 = 100%
$60 = 10%
$60 times 3 gives 30% = $180
$600 - $180 = $420
b) $420 = 100%
$42 = 10%
$21 = 5%
this means, they profitted by $21.
so $420 - $21 = $399
therefore, $399 is the cost price
How many different squares can be formed by using four of the evenly spaced dots shown as vertices of the square?
Plz quickly!!
Answer:
I Believe Its Eight Squares
There are 450 triangles, we can pick that do not form an equilateral triangles when 15 dots are evenly spaced on the circumference of a circle.
What is equilateral triangle?An equilateral triangle is a triangle with all three sides of equal length , corresponding to what could also be known as a "regular" triangle.
here, we have,
Let's calculate the total no. of possible triangles, it depends on the combination. To make a triangle, we have to choose 3 dots out of 15.
Here, we will use the combination rule to find out the possible triangles,
Thus, the total number of possible triangles = 15C3 = (15.14.13) / (1.2.3) = 455
Note that an equilateral triangle would be formed by connecting 3 equally spaced dots.
For an equilateral triangle, out of 15 dots, there would be 15 - 3 = 12 dots that will not be connected.
And 12/3 = 4 dots would be between any two connecting dots.
Taking 1st connecting dot, the second connecting dot would be
1 + 4 + 1 = 6th
Similarly, the third connecting dot would be 6 + 4 + 1 = 11th
So, the following connecting dots will form equilateral triangles: (1, 6, 11); (2, 7, 12); (3, 8, 13); (4, 9, 14); (5, 10, 15);
After applying the combination rule we found the total number of the possible triangle and there are 5 equilateral triangles:
So, there are 455 - 5 = 450 triangles that are not equilateral triangles.
Learn more about equilateral triangles:
brainly.com/question/19692242
#SPJ2
Complete question;
fifteen dots are evenly spaced on the circumference of a circle. how many combinations of three dots can we pick from these 15 that do not form an equilateral triangle?
Translate and solve:
the product of -2.75 and p is the same as -19.25
Answers listed:
16.5
-22
30
7
Given,
[tex] - 2.75p = - 19.25[/tex]
[tex]p = \frac{ - 19.25}{ - 2.75} [/tex]
[tex]p = \frac{19.25}{2.75} [/tex]
[tex]p = 7[/tex]
Grayson is drawing a two dimensional shape and its dilation in a coordinate plane. Which attribute of this
shape will remain unchanged?
Answer:
area
Step-by-step explanation:
Tim's family was collecting aluminum cans to recycle. They found out that they would get two.cents for every three cans they collected. If they collected 2,187 cans, how much money did they receive?
Use the Distributive Property to solve the equation 4x - 2(x - 2) = - 7+ 4x + 3 The solution of the equation is
Answer:
The answer is x = 4
Step-by-step explanation:
Approximate the correlation of the data shown below?
a. 1
b. 0
c. -0.5
d. -1
Answer:
Step-by-step explanation:
The required correlation of the data is given by -0.5. Option C is correct.
Given that,
To determine the approximate correlation of the data shown,
A statistical measure known as correlation expresses how closely two variables are related linearly.
here,
Draw a constant line from the first point to the last point,
Which shows a decreasing slope of -0.5. So it is the approximate correlation of the data given.
Thus, the required correlation of the data is given by -0.5. Option C is correct.
Learn more about the correlation here:
https://brainly.com/question/28898177
#SPJ2