Answer:
-1
Step-by-step explanation:
Replace x with -2
f(-2)=-(-2)^2+3
Solve.
f(-2)=-4+3
=-1
I hope this helps!
Answer:
-1
Step-by-step explanation:
When you have f(x) =- x^2 +3 and want to find f(-2), it is basically asking you to calculate the function where x is -2. So if you plug in -2 for x you get:
-(-2)^2 + 3= f(-2)
-4+3= f(-2)
-1=f(-2)
Find the domain and range for each of the relations described by the sets of
ordered pairs below.
4. (-1, 2), (2, 51), (1,3), (8, 22), (9,51)
Domain:
Range:
Answers:
Domain = {-1, 2, 1, 8, 9}
Range = {2, 51, 3, 22}
==================================
Explanation:
The domain is the set of allowed inputs of a function. So it's the set of possible x values. We simply list the x coordinates of each point to form the domain.
The range is the set of possible y values or y outputs. So we simply list the y coordinates of the points. We toss out any duplicates. Since order doesn't matter in a set, we can have the values listed any way we want.
Side notes:
This is a function since we don't have any repeated x values between any of the points. This graph passes the vertical line test.This function is not one-to-one because we have y = 51 correspond to multiple x values (x = 2 and x = 9 simultaneously). This graph fails the horizontal line test.Regan earns $1380 per month out of which he saves $1140 per month. What is the ratio (in the lowest form) of Regan's income to his savings? $$
Answer:
23:19
Step-by-step explanation:
This questions is looking for this ratio:
income:savings
Regan's income is $1,380 per month.
Regan's savings is $1,140 per month.
Substitue those numbers in our original ratio, and you'll get this:
1380:1140
However, this question wants the lowest form of the ratio.
To do that, you can find the GCF (greatest common factor) and divide both number's by it, or you can just randomly divide them by small numbers you know both of them are divisible by.
I'm going to use the 2nd method because it's usually quicker for big numbers like these:
1380/10 = 138
1140/10 = 114
138/2 = 69
114/2 = 57
69/3 = 29
57/3 = 19
29 and 19 are prime numbers, so you can't divide them anymore. This is how we know we've reached the lowest terms of these numbers.
So the answer is 29:19
Hope this helps (●'◡'●)
Answer: 23:19
Step-by-step explanation: 1380 and 1140 LCM is 60. 1380/6 = 23 and 1140/6= 19
Therefore, the answer is 23:19
For some integer m, every odd integer is of the form a) m b) m + 1 c) 2m d) 2m + 1
Answer:
d) 2m+1
Step-by-step explanation:
for example:
m be 2 then. 2×2+1=5
m be 3 then. 2×3+1=7
general solution
4sin^x+9 cosx-6=0
Answer:
if this is helpful to you...
plz do follow
an apple farm costs $5 to get in and $0.75 per pound of apples, what is the y intercept? (Number answer only, no symbols)
Answer:
(0, 5).
Step-by-step explanation:
$5 is the base fee, so when x = 0, y = 5. 0.75 won't come into play yet.
Solve the system of equations.
−5x−3y−9=0
4x−18y−54=0
y=? x=?
Answer:
Step-by-step explanation:
Eq. 1 ) −5x−3y−9=0
Eq. 2) 4x−18y−54=0
there are two routes to solve this, Substitution or elimination, I'll go for the 2nd one because I can see that the y values are a multiple of each other :)
6 *( −5x−3y−9=0 )
Eq. 3) -30x -18y =54
subtract Eq. 2 from Eq. 3 :)
-30x -18y =54
-( 4x−18y=54)
-34x = 0
so according to the equations then x =0 but, that's not really a full answer, so now we should go back and try the other method, substitution,
then:
-5x = 9 +3y
x = - 9/5 + (-3/5)y
now plug that into Eq. 2
4( - 9/5 + (-3/5)y ) - 18y = 54
-36/5 + (-12/5)y -18y = 54
(-12/5)y - (90/5)y = 54+36/5
-(102/5)*y =270/5+36/5
-(102/5)y = 306/5
y = (-5/102)*(306/5)
y = -306/102
y = -3
then plug in for either equation
-5x-3( -3) = 9
-5x + 9 = 9
-5x = 0
x = 0
now we have the full answer
check it by plugging in both x and y into the 2nd equation
4(0) - 18(-3) = 54
54= 54
this seems good
A claim is reviewed for MOHS surgery on the foot that was performed in 1 stage with 6 tissue blocks. The claim was reported with 17311, 17312-51, 17312-51. Is this correct
Answer:
17311, 17315
Step-by-step explanation:
Explanation,
Mohs surgery, also known as chemosurgery, created by a general surgeon, Dr. Frederic E. Mohs, is performed to remove complex or ill-defined cutaneous malignancy.List Of CPT Codes For Mohs Surgery
CPT Code 17311 and CPT Code 17313 are the base codes for the range of this surgery. CPT Code 17312, CPT Code 17314, and CPT Code 17315 are the add-on codes for this range.
Description Of CPT Code 17311
Moh’s micrographic technique, including removal of all gross tumor, surgical excision to tissue specimens, mapping, color coding of specimens, microscopic examination of specimens by the surgeon, and histopathologic preparation including routine stain(s) (eg. Hematoxylin and eosin, toluidine blue), head, neck, hands, feet genitalia, or any location with surgery directly involving muscle, cartilage, bone, tendon, major nerves, or vessels; first stage, up to 5 tissue blocksDescription Of CPT Code 17315 (addon)
CPT Code 17315 may be used to report each block after the first 5 blocks for any single-stage.
Moh’s micrographic technique, including removal of all gross tumor, surgical excision of tissue specimens, mapping color coding of specimens, microscopic examination of specimens by the surgeon, and histopathologic preparation including routine stains(s) (eg. Hematoxylin and eosin, toluidine blue), each additional block after the first 5 tissue blocks, any stage (List separately in addition to code for primary procedure)Extras
Description Of CPT Code 17312 (addon)
Each additional stage after the first stage, up to 5 tissue blocks (List separately in addition to code for primary procedure)
Description of CPT Code 17313
Moh’s micrographic technique, including removal of all gross tumor, surgical excision of tissue specimens, mapping, color coding of specimens, microscopic examination of specimens by the surgeon, and histopathologic preparation including routine stains(s) (eg. Hematoxylin and eosin, toluidine blue), of the trunk, arms, or legs; first stage, up to 5 tissue blocks
Description Of CPT Code 17314 (addon)
Each additional stage after the first stage, up to 5 tissue blocks (List separately in addition to code for primary procedure).
Summer school math problem
Hello!
4/18 = 6/27 ?
4 × 27 = 18 × 6
108 = 18 × 6
108 = 108 => 4/18 = 6/27
4/6 = 16/36 ?
4 × 36 = 6 × 16
144 = 6 × 16
144 ≠ 96 => 4/6 ≠ 16/36
3/4 = 9/12 ?
3 × 12 = 4 × 9
36 = 4 × 9
36 = 36 => 3/4 = 9/12
5/9 = 8/12 ?
5 × 12 = 9 × 8
60 = 9 × 8
60 ≠ 72 => 5/9 ≠ 8/12
Good luck! :)
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Which linear inequality represents the graph below? (-2, 3) & (0, -2)
Answer:
no hablo inglés wey perdón corona y gracias
In an office there was a small cash box.One day ann took half of the money plus$1 more.Then dan took half of the remaining money plus$1 more.Stan then took the remaining $11.How many dollars were originally in the box?
Answer:
this as a equation looks like this
-1/2x+1+x=11
1/2x=10
x=20
Hope This Helps!!!
20 dollars were originally in the box
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
In an office there was a small cash box.
One day ann took half of the money plus$1 more
Then dan took half of the remaining money plus$1 more
Stan then took the remaining $11
-1/2x+1+x=11
Subtract 1/2x from both sides
1/2x=10
Multiply 2 on both sides
x=20
Hence, 20 dollars were originally in the box
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Laura bought some movie tickets. The graph represents
the
proportional relationship between the cost and the number of movie
tickets. Find the cost of seven tickets
Answer:
it must be 85 (approx.)
Step-by-step explanation:
The cost of 5 gallons of ice cream has a variance of 64 with a mean of 34 dollars during the summer. What is the probability that the sample mean would differ from the true mean by more than 1.1 dollars if a sample of 38 5-gallon pails is randomly selected? Round your answer to four decimal places.
Answer:
Probability[(X - μ) < 1.1] = 0.6046
Step-by-step explanation:
Given:
σ² = 64
Mean μ = 34
Find:
Probability[(X - μ) < 1.1]
Computation:
Standard deviation σ = √σ²
Standard deviation σ = √64
Standard deviation σ = 8
Probability[(X - μ) < 1.1] = Probability[-1.1 < (X - μ) < 1.1]
Probability[(X - μ) < 1.1] = Probability[-1.1/(8/√38) < (X - μ) < 1.1/(8/√38)]
Using z table
Probability[(X - μ) < 1.1] = 0.6046
Find the length of side xx in simplest radical form with a rational denominator.
Explanation:
For any 30-60-90 triangle, the hypotenuse is always twice as long compared to the short leg. The short leg is always opposite the 30 degree angle.
The length of x is 6.
What is a right-angled triangle?
'A triangle in which one of the interior angles is 90° is called a right-angled triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the perpendicular and the base.'
According to the given problem,
Perpendicular = 3
Hypotenuse = x
We know,
sin∅ = [tex]\frac{perpendicular}{hypotenuse}[/tex]
∅ = 30°
⇒ sin30 = [tex]\frac{3}{x}[/tex]
⇒ [tex]\frac{1}{2}[/tex] = [tex]\frac{3}{x}[/tex] [ sin30 = [tex]\frac{1}{2}[/tex] ]
⇒ x = 3 * 2
⇒ x= 6
Hypotenuse = 6
Applying Pythagoras theorem:
⇒ Hypotenuse² = Perpendicular² + Base²
⇒ 6² = 3² + Base²
⇒ 6² - 3² = Base²
⇒ Base² = 25
⇒ Base = √25
⇒ Base = 5
Hence, we can conclude the value of x to be 6.
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if f(x) = 2x² +1 and g(x) = x² - 7 find (f+g) (x)
Help me find (f+g)(x) please!
Answer:
[tex](f+g)(x) = 3x^2 - 6[/tex]
Step-by-step explanation:
[tex]f(x) = 2x^2 + 1, \ g(x) = x^2 - 7\\\\(f +g)(x) = f(x) + g(x) \\\\(f+g)(x) = 2x^2 + 1 + x^2 - 7 \\\\(f+ g)(x) = 3x^2 - 6[/tex]
Can somebody please help meee
Answer:
Top one: y= 3/1+2
bottom: y= -1/1+4
Tommy's birthday party costs $2.94 for every guest the invites. If there are 4 guests, how much will Tommy's birthday party cost?
Answer:
$11.76
Step-by-step explanation:
2.94×4=$11.76
Anna is following this recipe to make biscuits.
Anna uses 750 g of margarine.
How many grams of sugar will she need?
Recipe: Makes 24 biscuits
60 g sugar
100 mL syrup
250 g oats
125 g margarine
60 g chocolate
Answer:
130
Step-by-step explanation:
Rule 1: Multiply by 2 then add 1 starting from 1.
Rule 2: Divide by 2 then add 4 starting from 40.
Sequence 1
Sequence 2
Ordered Pairs
PLZ ANSWER FOR Brainiest
Answer:
1×2+1=3
3×2+1=7
7×2+1=15
15x2+1=31
31×2+1=63
40÷2+4=24
24÷2+4÷16
16÷2+4=12
12÷2+4=10
10÷2+4=9
Write a recursive rule for the sequence.
x, x, 2x, 3x, 5x, 8x, ...
I know that it adds its last term but I don't know the rule/formula to show that.
Answer:
f(n)=f(n-1)+f(n-2)
f(1)=1x
f(2)=1x
Step-by-step explanation:
This is the fibonacci sequence with each term times x.
Notice, you are adding the previous two terms to get the third term per consecutive triples of the sequence.
That is:
1x+1x=2x
1x+2x=3x
2x+3x=5x
3x+5x=8x
So since we need the two terms before the third per each consecutive triple in the sequence, our recursive definition must include two terms of the sequence. People normally go with the first two.
f(1)=1x since first term of f is 1x
f(2)=1x since second term of f is 1x
Yes, I'm naming the sequence f.
So I said a third term in a consecutive triple of the sequence is equal to the sum of it's two prior terms. Example, f(3)=f(2)+f(1) and f(4)=f(3)+f(2) and so on...
Note, the term before the nth term is the (n-1)th term and the term before the (n-1)th term is the (n-2)th term. Just like before the 15th term you have the (15-1)th term and before that one you have the (15-2)th term. That example simplified means before the 15th term you have the 14th and then the 13th.
So in general f(n)=f(n-1)+f(n-2).
So the full recursive definition is:
f(n)=f(n-1)+f(n-2)
f(1)=1x
f(2)=1x
Please help me with this
Answer:
x = 23
Step-by-step explanation:
if line j is parallel to line k then
5x + 9 + 33 + x = 180 add like terms
6x + 42 = 180 subtract 42 from both sides
6x = 138 divide both sides by 6
x = 23
suppose a triangle has 2 sides of lengths 32 and 35 and that the angle between these 2 sides is 120 what is the length of the 3rd side of the triangle
Let the Vertices of the Δ be A , B , and C
We will follow the Usual Notation for Δ A B C , e.g., the side
opposite to the Vertex A will be denoted by a , m ∠ A = A , etc.
In this notation, let us assume that,
a = 32 , b = 35 , & , C = 120 ° & we have to find c
Using Cosine-Rule for Δ A B C , we have,
c²= a²+b² - 2 ab cos C = 32 ²+35² - 2 x 32 x 35 x cos 120° =
1024 + 1225 − 2240 cos ( 180 °− 60 °) = 2249 - 2240(-cos 60°)
2249+ 2240 (1/2)= 2249 + 1120= 3369
Answer: C= √3369 is about 58.04
Answer: 58.043087 (approximate)
===================================================
Explanation:
Refer to the diagram below. We can use the law of cosines to solve for c
c^2 = a^2 + b^2 - 2*a*b*cos(C)
c^2 = 32^2 + 35^2 - 2*32*35*cos(120)
c^2 = 3369
c = sqrt(3369)
c = 58.043087 which is approximate
Round this value however you need to.
Which number line model represents the expression 5/2 + 3
The line graph (A) represents the expression 5/2 + 3 the first term is 2 and-a-half units, and the second term is 3 units option (A) is correct.
What is a number line?It is defined as the representation of the numbers on a straight line that goes infinitely on both sides.
We have an expression:
= 5/2 + 3
Here 5/2 = 2.5 = 2 and half
= 2.5 + 3
The first arrow should indicate the 2 and-a-half unit
And the second arrow should represent the 3 unit
The line graph(A) represents the above situation or expression.
Thus, the line graph (A) represents the expression 5/2 + 3 the first term is 2 and-a-half units, and the second term is 3 units option (A) is correct.
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write an expression for 15 divided by a number
show your work
Answer:
15/X
Step-by-step explanation:
a number divided by 15
15/X
solve |5x+30|=10x ......
Answer:
Option A
Step-by-step explanation:
We need to solve out ,
[tex]\implies |5x + 30| = 10x [/tex]
We can write it as ,
[tex]\implies 5x + 30 = \pm 10x [/tex]
On simplyfing further,
[tex]\implies 5x + 30 = 10x \quad or \quad 5x +30=-10x [/tex]
On solving the above equation , we will get ,
[tex]\implies \boxed{ x = 6,-2}[/tex]
Now we know that the value of modulus is never negative so when we will put x is equal to 2 on the RHS we will get -20 which is not possible . Therefore , the extraneous root is -2 .
Option A is correct .
Which shows the correct solution of the equation + so, when 6-30?
Answer:
-24
Step-by-step explanation:
rest 6 minus 30 and it give you -24
(not really a math problem) I have a 125 gallon tank, 5ft long and 6ft in circumfrence 3 inches of fuel in the tank how much gallons is that ` - `
Answer:
6.25 gallons
Step-by-step explanation:
If 125 gallon tank in equivalent to 5ft
1 foot is equal to 12inches...
5 ft ×12 =60 inches
So 125 gallon tank= 60 inches
If 60 inches = 125 gallon
3 inches = 125 × 3 / 60
= 375/60
= 6.25 gallons
[tex]\frac{a^{3}b^{5}}{a^{4}b}[/tex]
Answer:
b^4 / a
Step-by-step explanation:
I have attached the explanation above. hopefully this will help
What is the scale factor from abc to xyz?
Answer:
C
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to original, so
scale factor = [tex]\frac{XY}{AB}[/tex] = [tex]\frac{9}{45}[/tex] = [tex]\frac{1}{5}[/tex] → C
The scale factor will be equal to 1 / 5. the correct option is C.
What is a scale factor?The scale factor is defined as the proportion of the new image's size to that of the previous image. Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.
In the given image all the angles are the same and the sides are dilated so the scale factor will be calculated as below,
Scale factor = Original size / dilated size
Scale factor = XY / AB
Scale factor = 9 / 45
Scale factor = 1 / 5
Therefore, the scale factor will be equal to 1 / 5. the correct option is C.
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Can someone help me with this math homework please!
Answer: h = 14
Step-by-step explanation:
7h-5(3h-8)-56 = -128
7h -15h+40-56 = -128
or, -8h-16= -128
or, -8h = -128 + 16
or, -8h = -112
or, 8h = 112
or, h = 112/8
so, h = 14
Answer:
h = 14
Step-by-step explanation:
We are going to use basic algebra to solve this equation.
First, let's isolate the h variables by moving -56 to the other side:
7h - 5(3h - 8) - 56 = -128
(add 56 to both sides)
7h - 5(3h - 8) = -72
Next, let's distribute the -5 to (3h - 8) by separating it from the equation then adding it back:
7h - 5(3h - 8) = -72
Separation:
-5(3h - 8) --> (-5*3h) + (-5*-8) --> (-15h) + (40)
-15h + 40
Adding it back in:
7h -15h +40 = -72
Next, let's simplify it down by adding like terms, meaning adding 7h & -15h:
7h -15h +40 = -72
(add 7h & -15h)
-8h + 40 = -72
Now we're going to move the 40 to the other side but subtracting 40:
-8h + 40 = -72
(subtract 40 to both sides)
-8h = -112
Finally, we're going to divide both sides by -8
-8h = -112 --> h = 14
The answer is h = 14
(You can double check by plugging 14 into the equation and see if it equals -128, which it does, so it's correct :-) )
Hope it helps (●'◡'●)