Answer:
sqrt(x+7) - log(x+2)
Step-by-step explanation:
f(x) = sqrt(x+7)
g(x) log(x+2)
f(x) - g(x) = sqrt(x+7) - log(x+2)
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
[tex]f(x)=\sqrt{x+7} \\g(x)= log(x+2)[/tex]
we have to subtract g(x)from f(x)
[tex]\sf{\sqrt{x+7}-log(x+2) }[/tex]Which recursive formula can be used to generate the sequence below, where f(1) = 6 and n ≥ 1?
6, 1, –4, –9, –14
Answer:
f(n) = f(n - 1) - 5
Step-by-step explanation:
The recursive formula allows a term in the sequence to be found by adding the constant difference to the previous term.
Here d = 1 - 6 = - 4 - 1 = - 9 - (- 4) = - 14 - (- 9) = - 5 , then
f(n) = f(n - 1) - 5 with n ≥ 1 and f(1) = 6
2. If a figure is at points (2,1), (-3,4), and (0,0) and it is translated using the rule (x+2, y-1), what would the new points be?
Answer:
(4, 0)
(-1, 3)
(2, -1)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Step-by-step explanation:
Step 1: Define
Identify
Point (2, 1)
Point (-3, 4)
Point (0, 0)
Rule (x + 2, y - 1)
Step 2: Translate
Substitute in points into rule.
Point (2, 1) → (2 + 2, 1 - 1) = (4, 0)
Point (-3, 4) → (-3 + 2, 4 - 1) = (-1, 3)
Point (0, 0) → (0 + 2, 0 - 1) = (2, -1)
there are 225 calories in a 45 gram candy bar what is the unit rate
Answer:
5 calories per gram
Step-by-step explanation:
Take the number of calories and divide by the number of grams
225/45
5 calories per gram
Vicky makes jewelry.she uses 42 beads for each necklace that she makes,and she has 500 beads.how many necklaces can she make explain with work?
Answer:
11
Step-by-step explanation:
Vicky used 462 beads to make 11 necklaces, she would have left 38 beads.
Answer:
He make seven necklaces
Step by step explanation of finding the value of x and y
Answer:
[tex]x=4\sqrt{2}\\y=7[/tex]
Step-by-step explanation:
In order to solve this problem, the easiest approach is to draw a line connecting the vertex between the side with a measure of (y) and (3) to the side with the length (x). This side should be parallel to the side with a length of (4).
Since the new side constructed (call this side (b)), is parallel to the side with a length of (4) and is intersected by segments that are perpendicular to the side with a length of (4), the side (b) and (4) must have the same measure. Therefore (b = 4).
The triangle formed with sides (x) and (b) is a (45 - 45 - 90) triangle. Meaning that its angles have the following measure, (45 - 45- 90). This means that its sides follow the following ratio:
angle : side opposite
[tex]45:x\\45:x\\90:x\sqrt{2}[/tex]
Apply this logic to the given situation.
[tex]x=b*\sqrt{2}\\x = 4\sqrt{2}[/tex]
The side (b) divides the side (y) into two parts. Call the part that is a side of the triangle ([tex]y_1[/tex]) the side that is a part of the rectangle is called ([tex]y_2[/tex]). As per the logic used to find the lengths of side (b), one can use similar logic to find the length of side ([tex]y_2[/tex]). The sides ([tex]y_2[/tex]) and (3) are parallel and are intersected by the sides with a measure of (4) and (b), therefore ([tex]y_2[/tex]) and (3) are cognrunet. Thus ([tex]y_2[/tex] = 3).
The base angles converse theorem states that when two angles in a triangle are congruent, the triangle is isosceles, and the sides opposite the congruent angles are also congruent. Thus, one can state the following:
[tex]y_1=b\\y_1=4[/tex]
Now add up the measurement of ([tex]y_2[/tex]) and ([tex]y_1[/tex]) to find the measure of (y):
[tex]y_2+y_1=y\\4+3=y\\7=y[/tex]
Gabriela was given a 15% increase in wages. If she earned $36,000 last year, what can she expect to earn this year?
The increase in the amount of wages of Gabriela is $ 41,400
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total amount after increase in wages be = A
Now , the initial amount of Gabriela be = $ 36,000
And , the percentage increase in the wages = 15 %
So , the equation will be
Total amount after increase in wages A = initial amount + ( percentage increase x initial amount )
Total amount after increase in wages A = 36,000 + ( 15/100 x 36,000 )
Total amount after increase in wages A = 36000 + ( 15 x 360 )
Total amount after increase in wages A = 36000 + 5400
Total amount after increase in wages A = $ 41,400
Therefore , the value of A is $ 41,400
Hence , The increase in the amount of wages of Gabriela is $ 41,400
To learn more about equations click :
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. Don, Ron, and Con earned $300. Don is to
receive one-quarter, Ron is to receive one-fifth
and Con will receive the remainder.
(a) What fraction of the earnings will Con
receive?
Answer:11/20
Step-by-step explanation:
Don: 1/4 of $300 = 300x.25 = $75
Ron:1/5 of $300 = 300x.20 = $60
75 + 60 = $135
300-135 = $165
165/300 = .55 = 55% = 55/100 = 11/20
OR
take 1/4 and 1/5 and make denominators equal
D: 5/20 and R: 4/20 = D+R:9/20 so C:11/20
Instructions: For the following sequence, state the common difference, identify which is the explicit form and which is the recursive form of the rule, and find the term listed.
Sequence: −9,−14,−19,−24,…
Answer:
hope it helps plz mark me brainliest ;)
Step-by-step explanation:
A.P. -9,-14,-19,-24
first term (a) = -9
common difference of the A.P. (d) = -14 - (-9)
= -14 + 9
= -5
an = a + (n-1) d
here we find a30 and a20
so for 30th term
a30 = a+ (20-1) d
= -9 + (19) (-5)
= -9 -95
= -104
so
a30 - a20 = -154 - (-104)
= -154 + 104
= -50
therefore for the given A.P a30 - a20 = -50
Answer:
Different sequence but just in-case anyone needs it
d=-20
Explicit
Recursive
Step-by-step explanation:
Instructions: For the following sequence, state the common difference, identify which is the explicit form and which is the recursive form of the rule, and find the term listed.
Sequence: 5,−15,−35,−55,…
Common Difference:
Answer -20
an=25−20n
Answer Explicit
an=an−1−20
a1=5
Answer Recursive
explain how the exteriorv relates to the i
Step-by-step explanation:
in this situation
A+B =D
Solve for x. round to the nearest tenth, if necessary.
Answer:
50.7
Step-by-step explanation:
38+1.3+90 from the right angle=129.3
180-129.3=50.7
Is it possible to relate cyclones to mathematics?
If yes, explain your thinking with the help of drawings (no need to use
downloaded images) What are the mathematical concepts, theorems and
shapes related to cyclones.
Answer:
Yes
Step-by-step explanation:
Statistics can perdict cyclones for example lets say that somewhere a cyclone happens almost every February then its statistically likely to happen this February too.
Write a paragraph or two column proof.
Given: ABCD is a dart with segment AB = segment AD
and segment BC= segment DC.
Prove: Angle B = Angle D
AB = AD and BC = DC are given. Furthermore, we can see that AC = AC by the reflexive property. We have three pairs of congruent corresponding sides, which allows us to use the SSS congruence theorem. From that, we would use CPCTC to conclude that angle B is congruent to angle D.
CPCTC = corresponding parts of congruent triangles are congruent.
Find NM
--------------------------------
Answer:
[tex] MN= \boxed{15}[/tex]
Step-by-step explanation:
refer the attachment
therefore Let,
[tex]a = x - 3 + 16 = x + 13[/tex][tex]b = x - 3[/tex][tex]c = x + 3[/tex]according to the question
[tex] \displaystyle (x - 3 ) (x + 13) =( x + 3 {)}^{2} [/tex]
simplify square and Multiplication:
[tex] \displaystyle {x}^{2} + 10x - 39 = {x}^{2} + 6x + 9[/tex]
cancel x² from both sides:
[tex] \displaystyle 10x - 39 = 6x + 9[/tex]
cancel 6x from both sides:
[tex] \displaystyle 4x - 39 = 9[/tex]
add 39 to both sides:
[tex] \displaystyle 4x = 48[/tex]
divide both sides by 4:
[tex] \displaystyle \boxed{x = 12}[/tex]
given that,
[tex] MN= x + 3[/tex]
substitute the got value of x:
[tex] MN= 12 + 3[/tex]
simplify addition hence,
[tex] MN= \boxed{15}[/tex]
what is a = with a ~ thing on top?
Help me please with this math question asap
Answer:
5
Step-by-step explanation:
A function
[tex]a \times {b}^{x} [/tex]
where a is the initial value and b is the multiplicative rate of change.
In the function,
[tex]f(x) = 2 \times {5}^{x} [/tex]
5 is the value of b so
5 is the multipicative rate of change
Which of the
following shows the graph of y = 2e*?
The coordinates of the points T and Q are (4, 2) and (6, 0) respectively. Find vector QT.
Answer:
2.828
Step-by-step explanation:
√(x2 - x1)² + (y2 - y1)²
√(6 - 4)² + (0 - 2)²
√(2)² + (-2)²
√4 + 4
√8
2.828
Celine goes to the book fair where paperback books are $2 and hardback books are $4.50. Celine buys three
paperback and 5 hardback books. How much change will Celine receive if she has $35?
7. Equation:
8. Solve:
Answer:
7. 35-(2*3+5*4.5)
8. 6.5
Point Q is the centroid of △ABC. QF = _____
A. 10
B. 5
C. 15
D. 9
Answer: QF = 5
Step-by-step explanation:
We know that if a triangle has a centroid, the ratio of the longer segment to shorter segment is 2:1. We can set up a proportion [tex]\frac{2}{1} = \frac{10}{x}[/tex], where x is the length of QF. By cross multiplying and dividing, you get x = 5 or QF = 5.
Answer:
5
Step-by-step explanation:
Find θ. Round to the nearest degree.
hypotenuse = 14
adjacent = 5
5.1.3: Right Triangle Trigonometry
Answer:
the answer is c
Step-by-step explanation:
when solving for theta, we are given the side length adjacent to it (5) and the length of the hypotenuse ( 14).
the trigonometric function that deals with adjacent and hypotenuse values is cosine.
you can use SOH CAH TOA
stands for :
sin = opposite/hypotenuse
cos = adjacent/ hypotenuse
tan = opposite/adjacent
we dont know theta so :
cos(theta) = 5/14
cos = about 69
check :
cos(69) = 5/14
cos(69) = 0.35836794954
5/14 = 0.35714285714
how do you solve this
Answer:
x = 8
Step-by-step explanation:
The angles shown are vertical angles
Vertical angles are congruent hence 8x + 36 = 5x + 60
( Notice that we just created an equation that we can use to solve for x )
We now solve for x algebraically
8x + 36 = 5x + 60
Step 1: Subtract 5x from both sides
8x - 5x + 36 = 5x - 5x + 60
Outcome: 3x + 36 = 60
Step 2: Subtract 36 from both sides
3x + 36 - 36 = 60 - 36
Outcome: 3x = 24
Step 3: Divide both sides by 3
3x/3 = 24/3
Outcome: x = 8
please help i will give brainliest
Amy needs to use a combination of the 12-cup and 36-cup baking pans to fill the order. With only eighteen 12-cup baking pans in her shop, how many of the 36-cup baking pans does she need to complete the order?
Answer:
See explanation
Step-by-step explanation:
The question is incomplete, as the total orders is not given.
To solve this question, I will assume a value for the total number of order.
Let
[tex]x \to 12-cup[/tex]
[tex]n_x = 18[/tex] ---- number of 12-cup
[tex]y \to 36-cup[/tex]
[tex]n_y = ??[/tex] ---- number of 36-cup
[tex]n \to[/tex] Total order
Required
Calculate [tex]n_y[/tex]
To do this, we make use of the following equation:
[tex]n_x * x + n_y * y = n[/tex]
Substitute known values
[tex]18 * 12 + n_y * 36 = n[/tex]
[tex]216 + 36n_y= n[/tex]
Collect like terms
[tex]36n_y= n - 216[/tex]
Divide both sides by 36
[tex]n_y= \frac{n - 216}{36}[/tex]
Assume the number of orders is: 540 cups
The equation becomes
[tex]n_y= \frac{540 - 216}{36}[/tex]
[tex]n_y= \frac{324}{36}[/tex]
[tex]n_y= 9[/tex]
qrx + prx + pqx > pqr . Find x
Answer:
[tex]x(qr + pr + pq) > pqr \: \: \: by \: dividing \: both \: sides \: by \: (qr + pr + pq)[/tex]
we get that
Step-by-step explanation:
[tex]x > \frac{qr + pr + pq}{pqr} [/tex]
if there both consecutive doesn't that mean that there both -9 so how is one bigger an one smaller....
Answer:
-14
Step-by-step explanation:
have a great day good luck
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). There are two production methods it could use. With one method, the one-time fixed costs will total $57,077 , and the variable costs will be $11.75 per book. With the other method, the one-time fixed costs will total $22,459, and the variable costs will be $21.25 per book. For how many books produced will the costs from the two methods be the same?
Answer:
for 3644 produced books the costs will be the same.
Step-by-step explanation:
x = number of books
f(x) = production method 1 costs
g(x) = production method 2 costs
f(x) = 11.75x + 57077
g(x) = 21.25x + 22459
for what number of books (x) will that be the same ?
11.75x + 57077 = 21.25x + 22459
34618 = 9.5x
x = 34618 / 9.5 = 3644
The graph of y = the square root of x is translated so that the domain of the new function is {x | x > –6} and the range is {y | y > 0}.
Which graph represents the translated image?
Answer:
A is the correct answer
Step-by-step explanation:
Answer:
A is the correct answer
Classify the triangle.
obtuse
equiangular
right
acute
Answer:
acute triangle
Step-by-step explanation:
We have 3 angles that are not equal to each other
They are all smaller than 90 degrees which means they are acute angles
Answer:
Acute
Step-by-step explanation:
Acute=less than 90 degrees
Obtuse=more than 90 degrees
Right=1 side has 90 degrees
Equiangular=every side has the same degree
Therefore, it would be Acute
Sam buys a game console and a cartridge for 546 . The cartridge costs 1/5 as much as the game console . Find the cost of the game console .
Answer:
10100009ehsbsbb hebehe
Answer:
The game console cost $436.80
Step-by-step explanation:
546 x 0.20 = 109.20
546 - 109.20 = 436.80
Instructions: Find the measure of the missing angles in the kite
Answer:
m∠1 = 103
m∠2 = 103
Step-by-step explanation:
by definition, the opposite angles of a kite are congruent.
we know that a quadrilateral's angles add up to 360.
117 º+ 37º + 2xº = 360º
2xº = 206º
xº=103º
