Answer:
The answer is 105.
Step-by-step explanation:
When Manny goes on vacation, he boards his dog at a kennel. The kennel charges a flat fee
of $25, plus $15.50 per night.
Write an equation that shows how the cost of a kennel stay, y, depends on the number of
nights, x.
Step-by-step explanation:
y = 25 + 15.5x
it's $25 plus the number of nights times $15.5 per night
What is the slope of the line that contains the points (-2, 7) and (2, 3)?
Answer:
The slope of the line is -1.
Step-by-step explanation:
SLOPE OF A LINE FORMULA
SLOPE = Y2 - Y1/ x2 - x1
m = Y2 - Y1/ x2 - x1
m = 3 - 7 / 2- (-2)
m = -4/4
m = -1
The slope of the line is -1.
The parent function f(x)=√x is transformed to g(x) = f(-x) - 2. Which graph represents g(x)?
Using translation concepts, the graph of g(x) is given at the end of the question.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The parent function is given by:
[tex]f(x) = \sqrt{x}[/tex].
With the changes, we have that:
f(-x) is the function reflected over the y-axis.f(-x) - 2 is the function reflected over the y-axis and shifted 2 units down.Hence the function will be given by:
[tex]f(x) = \sqrt{-x} - 2[/tex].
The graph is given at the end of the answer.
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Answer:
Step-by-step explanation:
what is the y-intercept of f(x)=(1÷4)
Use the algebra tiles to model the equation 2x + 4 = 3x + (−1). Then complete the sentences. To model 2x + 4, you need:
The value of x would be 5 for the model 2x+4.
Rearrange unknown terms to the left side of the equation,
[tex]= > 2x-3x = -1 - 4[/tex]
Combine like terms[tex]= -x = -1-4[/tex]
By calculating the sum or difference : -x = -5
Lets divide both sides of the equation by the resulting coefficient 5
So x = 5
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Solve for X
130, 40, ?
Answer:
x = 90
Step-by-step explanation:
The other unlabled angle in the triangle forms a 180 degree angle with 130 degrees (because they make a straight line). So it can be found by subtracting 130 from 180, which equals 50.
The sum of all the angles in a triangle is 180.
180 - 50 - 40 = x
90 = x
Hello! My name is Galaxy and I'll be helping you solve this problem. We can split this problem into two steps. Them being Theory and Solving.
I'll go ahead and start with the Theory.
TheoryWe can start off by looking at the image you've provided, we can see a triangle that has 2 angles given of a triangle, and an exterior angle of the triangle.
This being said, we can apply the Exterior Angle Theorem.
We can now begin to solve for the missing angle.
SolvingWe can begin to solve by using our given angles to find the third angle.
According to the Exterior Angle Theorem, we know that the unknown angle along with the [tex]40[/tex]° angle must add up to the [tex]130[/tex]° angle.
Therefore, we can solve for [tex]x[/tex],
[tex]x+40=130\\x=130-40\\x=90[/tex]
After this, we know that angle [tex]x[/tex] is equal to 90°.
Cheers,
Galaxy
The maximum number of turning points of a 9th degree polynomial is?
Answer:
8
Step-by-step explanation:
this was actually in my book and it came in today's test as well but I got 14/20 and failed lol
Function g is a transformation of function f.
Graph shows 2 exponential functions. First curve f enters quadrant 3 at (minus 6, minus 2) rises through (0, minus 1) and (1, 0) and (2, 2) in quadrant 1. Second curve g enters quadrant 2 at (minus 6, 6) falls through (0, 3) and (1, 0) in quadrant 1.
What is the equation of function g?
g(x) = f(x)
The equation of function g(x) in terms of f(x) is g(x) = -3[f(x)].
What is an equation?
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given:
genera form of an exponential function is y=aeᵇˣ
Now, equation for f(x) is
f(x) = [tex]e^{(log \;2)x} -2[/tex]
Similarly, graph for g(x) is
g(x) = [tex]-3e^{(log \;2)x} +6[/tex]
Comparing the two function a relation can be establish
g(x) = -3[f(x)]
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Answer:
shifted to the left two units
g(x)=-f(x+2)
Step-by-step explanation:
Could these triangles be congruent? yes, if ab ≅ de yes, if bc = 7 yes, if ab ≅ ef no, because the hypotenuses must have different lengths
Yes, the triangles are congruent if AB ≅ DE.
Criteria for the Congruency of two Triangles
If two triangles share the same sides and angles, they are said to be congruent triangles.
Triangles are tested for congruence using the following 4 criteria:
1) Angle-side-angle(ASA): Two angles and a side of a triangle are congruent if they are equal to two angles and the corresponding side of another triangle.
2) Side-side-side(SSS): Two triangles make congruent triangles if all three sides of one triangle are equal to three sides of another.
3) Side angle side(SAS): A triangle is congruent if its two sides and any included angles are equivalent to those of another triangle's two sides and corresponding angle.
4) Hypotenuse - leg(HL): If a triangle's hypotenuse and one of its legs are equal, then the triangle's hypotenuse and leg are also equal.
Checking for Congruency in the Given Triangles
ΔDEF and ABC have a equal angles, ∠F=∠B, as well as a pair of equal sides, DF = AC.
Thus, in order to satisfy the SAS criterion of congruent triangles, AB = DE
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Answer:
(D) no, because the hypotenuses must have different lengths
Step-by-step explanation:
Carlton received 45 votes in the school council election, and Will received 60 votes. What percent of the votes did Carlton receive?
Answer:
42.9%
Step-by-step explanation:
The total number of votes between Carlton and Will is [tex]60 + 45 = 105[/tex].
If we put Carlton's votes in a fraction over the total number of votes, we get [tex]\frac{45}{105}[/tex].
So, if we now multiply this fraction by 100, we will get the percentage amount:
[tex]\frac{45}{105} * 100 = 42.9[/tex]
This means that to 1 decimal place, the percentage of votes that Carlton received is 42.9%.
Answer:
Carton receive:
42.86% (aprox)
Step-by-step explanation:
45 + 60 = 105
total votes = 105
Carlton received 45 votes
then:
45/105 = 0.4286 (aprox)
0.4286*100 = 42.86%
please answer the question no 3
as fast as possible
An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The value of the given series is 240.
What is arithmetic sequence?An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
The explicit formula for any arithmetic series is given by the formula,
aₙ = a₁ + (n-1)d
where d is the difference and a₁ is the first term of the sequence.
The value of [tex]\log_{a^{\frac12}}(a)[/tex] will be equal to 2. Therefore, the series will become,
series = 2 + 4 + 6 + 8 + 10 + 12 + .... + 30
Now, as it can be observed that the given series is an arithmetic series, therefore, the number of terms in the series are,
30 = 2 + (n-1)1
28 = (n - 1)2
n - 1 = 14
n = 15
Further, the sum of the of the series will be,
sum = (15/2)[2(2) + (15-1)2]
sum = (15/2) [4 + 28]
sum = 240
Hence, the value of the given series is 240.
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About how many people moved away from the great plains states during the depression? 100,000 250,000 2.5 million 10 million
Answer:
the answer is 2.5 million
Step-by-step explanation:
About 2.5 million people moved away from the Great Plains states during the Great Depression.
What is the great depression?The 1930s saw a catastrophic economic collapse known as the Great Depression. It was the twentieth century's longest, most widespread, and deepest depression, affecting countries all over the world. The Great Depression began on October 29, 1929, with a stock market catastrophe in the United States known as "Black Tuesday."
This movement was called the Dust Bowl migration and was caused by a combination of factors including drought, soil erosion, and economic hardship.
Many people left the region in search of better opportunities and living conditions.
Therefore, 250,0000 people moved.
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3. Solve the following system of equations. 2v 3w = 16 2u + w = 4 v/6 - u/6 = 1
Answer:
this is what i got
The standard form of an absolute value function is f(x)-a|x-h|+k. Which of the following represents the vertex?
(-k.h)
(-h.k)
(k,b)
(h,k)
Answer:
(h, k )
Step-by-step explanation:
given the standard form of an absolute function
f(x) = a| x - h | + k , then
vertex = (h, k )
The standard form of an absolute value function is f(x) = a|x - h| + k, where (h,k) is the vertex of the absolute value function.
The correct option is (h,k).
What is a function?The term "function" refers to a relationship between a set of inputs and outputs. Just one output is connected to each input in a function, which connects inputs in that manner. Every function has a domain, co-domain, and range.
In general, the standard form of an absolute value function is given as:
f(x) = a |x - h| + k
where:
a is a non-negative constant that determines the shape and direction of the V-shaped graph of the absolute value function
h is the horizontal shift of the graph of the function from the origin (if h > 0, the graph shifts to the right; if h < 0, the graph shifts to the left)
k is the vertical shift of the graph of the function from the origin (if k > 0, the graph shifts up; if k < 0, the graph shifts down)
The vertex of the absolute value function is the point where the graph changes direction, that is, the point where the graph changes from sloping downwards to sloping upwards or vice versa.
Since the vertex is the point of the absolute value function where the graph changes direction, it lies at the center of the V-shaped graph. Thus, the vertex is located at the point (h,k).
Therefore, in the standard form f(x) = a |x - h| + k, (h,k) represents the coordinates of the vertex of the absolute value function.
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For some given data, if Z-M = 2 and
x= 33.5, then Z =
(a) 35.5 (b) 36.5 (c) 32.5
(d) 34.5
Answer:
Not enough information. See below.
Step-by-step explanation:
Z-M = 2
x= 33.5, then Z = ?
How does x relate to Z or M? Is the Z-M= 2 equation correct? Or is it M=33.5?
The first term of an arithmetic progres- sion is 3 and the last term is 9. Find the number of terms in the progression if the common difference is 3/2
Answer:
5 terms
Step-by-step explanation:
The numbers will be 3, 4 1/2, 6, 7 1/2, and 9.
what is the midpoint between 1 + 9i and 5 - 3i?
Answer:
The midpoint between 1 + 9i and 5 - 3i is 3 + 3iGivenPoints 1 + 9i and 5 - 3iTo find Midpoint between given pointsSolution
Midpoint is the average of the two points. Find it as follows:
(1 + 9i + 5 - 3i)/2 = (6 + 6i)/2 = 3 + 3iIn a rectangle the length of diagonal AC is given by (20x+12)&BDis (14x+24)cm find AC&BD
Answer:
52cm, based on my understanding of the question.
Step-by-step explanation:
See attached image. Please confirm my understanding of the question.
Two opposite angles of a parallelogram are (5x – 8)° and (2x + 82)°. Find the measures of each angle of the parallelogram.
Answer:
2 angles are 142 degrees
2 angles are 38 degrees
Step-by-step explanation:
In any parallelogram, the opposite angles are congruent.
So,
5x - 8 = 2x + 82
3x - 8 = 82
3x = 90
x = 30
Now lets plug in x into one of the angles:
5 ( 30 ) - 8
150-8
142
So, because that angle is 142, the other angle must also be 142. However, to make sure, we should still check.
2 ( 30 ) + 82
60 +82
142
As we can see, both angles are 142.
Now we have figured out 2 angles, and they are both 142. Now lets figure out the other 2 angles.
Any 4 sided shape has 360 degrees
142 + 142 = 284 degrees
Our 2 angles have 284 degrees in total.
if we subtract 284 from 360, we get 76.
Our remaining 2 angles have a total of 76 degrees. Because these angles are also opposite, we must divide by 2. 76/2 is 38.
So,
2 angles are 142 degrees
2 angles are 38 degrees
evaluate: (36/49)^1/2
Answer:
6/7, -6/7
Step-by-step explanation:
Jamar is attempting to factor the expression 15x^2-16x-15. In his first step, he rewrites the expression as 15x^2-25x+9x-15. Which of the following statements in true about Jamar’s work?
A. Jamar's first step is correct. He should continue to factor the expression.
B. The two middle coefficients add to the correct number, but do not multiply to the correct number.
C. The two middle coefficients multiply to the correct number, but do not add to the correct number.
D. The two middle coefficients do not add or multiply to the correct number.
Jamar's first step is correct. He should continue to factor the expression. Then the correct option is A.
What is a factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
Jamar is attempting to factor the expression 15x² – 16x – 15.
In his first step, he rewrites the expression as 15x² – 25x + 9x – 15.
Jamar's first step is correct. He should continue to factor the expression.
Then the correct option is A.
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What is the value of x when Rq=3x+2 ,QN =2x and SM=3x?
The value of x is 2 because the centroid of the triangle divides each median in the ratio of 2:1 option (C) is correct.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have:
RQ = 3x+2 ,QN = 2x and SM=3x
In the figure, the TM, Rn, and SL are medians of the triangle SRT and Q is the centroid.
The centroid of the triangle divides each median in the ratio 2:1
RQ/QN = 2/1
(3x+2)/2x = 2/1
After solving:
3x + 2 = 4x
x = 2
Thus, the value of x is 2 because the centroid of the triangle divides each median in the ratio of 2:1 option (C) is correct.
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what is 25:28 in slimpelst from
Answer:
25:28 is the simplest form
Step-by-step explanation:
This is a ratio, think of it like a fraction. You can simplfy it by dividing by common factor.
25 and 28 have no common factors except for 1.
25: 1,5,25
28: 1,2,4,7,14,28
It will stay as 25:28
Answer:
it stays the exact same or 0.893
Step-by-step explanation:
1 − 2 + 3 −... + 99
Please solve!
Answer:
50
Step-by-step explanation:
So you can think of this by grouping it like this:
(1-2) + (3-4) + (5-6) + ... + (97-98) + 99
which is equal to: (-1) + (-1) + (-1)... + (-1) + 99
(each group is equal to -1, and 99 won't have a pair since it's the last one)
then, find how many groups of -1 there are:
the groups start at 1 and end at 98, but there are two in each group, so 98/2 = 49. this means there are 49 groups.
so now, you know that there are 49 -1s, so 49 * (-1) = -49.
finally, you can't forget the extra 99 that didn't have a pair, so -49 + 99 = 50.
PLEASE ANSWER ASAP!!!!!!!
What is the exact value of cos(tan−1(−1))/sin(cos−1(−3√2))?
Enter your answer, as a simplified fraction, in the box.
cos(tan−1(−1))/sin(cos−1(−3√2))=
The exact value of [tex]\dfrac{cos(tan^{-1}(-1))}{sin(cos^{-1}(-\frac{3}{\sqrt{2}})}[/tex] would be root 2.
What is a function?The function is a type of relation, or rule, that maps one input to specific single output.
Given;
[tex]\dfrac{cos(tan^{-1}(-1))}{sin(cos^{-1}(-\frac{3}{\sqrt{2}})}[/tex]
We know that
The inverse tan(-1) = -π/4
cos(-π/4) = 1/√2
The inverse cos(√3/2) = π//6
sin(π/6) = 1/2
Then substitute
[tex]\dfrac{cos(tan^{-1}(-1))}{sin(cos^{-1}(-\frac{3}{\sqrt{2}})}\\\\[/tex]
[tex]\dfrac{(1/\sqrt{2}) }{(1/2)} \\\\= \sqrt{2}[/tex]
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*GEOMETRY
help me with questions 9, 10, and 11 please!
9) Diagonals of a parallelogram bisect each other, so KN=NM. Thus, KM=13.5+13.5=27 cm
10) Opposite sides of a parallelogram are congruent, so LM=KJ=17 cm
11) Based on Question 9, MN=13.5 cm
Find the value of x
Answer:
11
Step-by-step explanation:
Can someone help with this q u e s t i o n p l e a s e
Graph the image of this figure after a dilation with a scale factor of 1/2 centered at the point (−3, 0).
Use the polygon tool to graph the dilated figure.
(See attached image for details.)
The vertices of the image of dilation are (4, 2), (-1, 2) and (3, 4)
How to graph the dilated image?The given parameters are:
Center, (a, b) = (-3, 0)
Scale factor, k = 1/2
The vertices of the figure are
(5,4), (-5, 4) and (3,8)
The rule of dilation is represented as:
(x, y) ⇒ (k(x -a), k(y -b))
So, we have:
Point (5,4)
(x, y) ⇒ (1/2(5 + 3), 1/2(4 -0))
(x, y) ⇒ (4, 2)
Point (-5,4)
(x, y) ⇒ (1/2(-5 + 3), 1/2(4 -0))
(x, y) ⇒ (-1, 2)
Point (3,8)
(x, y) ⇒ (1/2(3 + 3), 1/2(8 -0))
(x, y) ⇒ (3, 4)
So, the vertices of the image of dilation are (4, 2), (-1, 2) and (3, 4)
See attachment for the image
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i need help with this question (answer choices 15, 5, and 12)
Answer:
x = 15
Step-by-step explanation:
the opposite angles of a cyclic quadrilateral sum to 180° , then
6x + 20 + 3x + 25 = 180 , that is
9x + 45 = 180 ( subtract 45 from both sides )
9x = 135 ( divide both sides by 9 )
x = 15
