A girl received $100 for her birthday. At the store she can buy 1 video game and 3 DVDs for $100. She could ask buy 2 video games and 1 DVD for $100. Write and solve a system of equations to determine the cost of a video and the cost of a dvd
Answer:
Step-by-step explanation:
Which measurements below will not create a right triangle? *
3 inches, 4, inches, 5 inches
5 inches, 6 inches, 7 inches
6 inches, 8 inches, 10 inches
5 inches, 12 inches, 13 inches
Here’s another…23+18w=-21+14w
Answer: -11
Step-by-step explanation:
Sketch the following polynomial function using the four-step process f(x)=x3+x2–9x -9 The left-hand behavior starts up and the right-hand behavior ends down Find the y-intercept The y-intercept is y = The real zeros of the polynomial are x = -3,-1,3 (Use a comma to separate answers as needed. Type an exact answer, using radicals as needed.) The multiplicity of the zero located farthest left on the x-axis is The multiplicity of the zero located between the leftmost and rightmost zeros is The multiplicity of the zero located farthest right on the x-axis is Evaluate a test point. What is the value of y at x = 22 y
The sketch of the polynomial function f(x) = x^3 + x^2 - 9x - 9 has a left-hand behavior that starts up and a right-hand behavior that ends down. It has a y-intercept of (0, -9), and its real zeros are x = -3, -1, and 3, each with a multiplicity of 1. The value of y at x = 22 is 10847.
Here is the four-step process to sketch the polynomial function f(x) = x^3 + x^2 - 9x - 9:
Step 1: Find the end behavior of the function
As x approaches negative infinity, f(x) approaches negative infinity because the leading term x^3 dominates. As x approaches positive infinity, f(x) approaches positive infinity because the leading term x^3 still dominates.
Step 2: Find the y-intercept
To find the y-intercept, we set x = 0 and evaluate f(0) = (0)^3 + (0)^2 - 9(0) - 9 = -9. Therefore, the y-intercept is (0, -9).
Step 3: Find the real zeros of the polynomial
We can use synthetic division or factor theorem to find the zeros of the polynomial:
Using synthetic division with x = -3, we get (x+3)(x^2 - 2x - 3), indicating that x = -3 is a zero of multiplicity 1.
Factoring x^2 - 2x - 3, we get (x-3)(x+1), indicating that x = -1 and x = 3 are also zeros of multiplicity 1.
Therefore, the real zeros of the polynomial are x = -3, -1, and 3.
Step 4: Determine the multiplicity of each zero
The zero located farthest left on the x-axis is x = -3, which has a multiplicity of 1.
The zero located between the leftmost and rightmost zeros is x = -1, which also has a multiplicity of 1.
The zero located farthest right on the x-axis is x = 3, which has a multiplicity of 1.
To evaluate a test point, we can choose any value of x and evaluate f(x). Let's choose x = 22. Then, f(22) = (22)^3 + (22)^2 - 9(22) - 9 = 10847.
Therefore, the sketch of the polynomial function f(x) = x^3 + x^2 - 9x - 9 has a left-hand behavior that starts up and a right-hand behavior that ends down. It has a y-intercept of (0, -9), and its real zeros are x = -3, -1, and 3, each with a multiplicity of 1. The value of y at x = 22 is 10847.
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We are used to that our days are divided into 24 hours, our hours are divided into 60 minutes, and our minutes are divided into 60 seconds. If our days were divided into 10 hours (with no need for a.m. and p.m.), the new hours into 100 minutes, and the new minutes into 100 seconds, what new time would it be at 6 p.m. a: 5:00 b: 7:00 c: 9:00 d: 7:50
Answer:
d) 7:50
Step-by-step explanation:
6pm is 18/24
18/24 = 3/4
3/4 of 10 = 7.5
The time represented by a 10-hour day format at 6 pm n the 24-hour day format is 7.5 hours, the correct option is D.
What is a Fraction?Fraction is the part of the whole, It is represented in the form of p/q, where q is not equal to zero.
The days are divided into hours, minutes, and seconds
The 6 pm time represents 18 hours
The total time is 24 hours so
6 pm represents an 18/24 portion of the day
= 3/4 th portion of the day is 6 om.
For a 10 hours day
3/4 th portion is 3*10 /4 = 7.5 hours
Therefore, the time represented by a 10-hour day format at 6 pm n the 24-hour day format is 7.5 hours.
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Round to the nearest tenth , if necessary.
65% of 186 =
Answer: 120.9
Step-by-step explanation: 65% of 186 is 120.9.
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\( \frac{65}{100} \times 186 = 120.9 \\ \)
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are lines y=3+5x and y=5x-1 parallel perpendicular or neither
Answer:
Step-by-step explanation:
y=mx+b is the standard form
m= slope
If the slopes are the same they are parallel
If the slopes are Opposite signed and reciprocals, then they are perpendicular
both of the slopes are 5, so the lines are parallel
Identify the domain and range of the reciprocal function y=2/x+3 +7
ANSWER:
\(\begin{gathered} \text{ Domain: }\left(-\infty\:,\:-3\right)\cup\left(-3,\:\infty\:\right) \\ \\ \text{ Range: }\left(-\infty\:,\:7\right)\cup\left(7,\:\infty\:\right) \end{gathered}\)STEP-BY-STEP EXPLANATION:
We have the following function:
\(\:y=\frac{2}{x+3}\:+7\)The domain is the input values of the function, in this case, it would be the interval of values that x can take, while the range is the output values of the function, that is, in this case, it would be the interval of values that it can take y.
In the case of a reciprocal function, the domain is affected since the denominator can never be 0 since it generates a mathematical indeterminacy, therefore, we calculate the domain by setting the denominator equal to 0, just like this:
\(\begin{gathered} x+3=0 \\ \\ x=-3 \\ \\ \text{ therefore:} \\ \\ \text{Domain: }\left(-\infty\:,\:-3\right)\cup\left(-3,\:\infty\:\right) \end{gathered}\)The range is affected by the fact that it can never be the value of 7, because the previous expression has no way of making it equal to 0, therefore the range would be:
\(\text{ Range: }\left(-\infty\:,\:7\right)\cup\left(7,\:\infty\:\right)\)The legs of a right triangle are lengths 48cm and 55cm. What is the length of the hypotenuse?
The legs of a right triangle are lengths 48cm and 55cm. So, the length of the hypotenuse is 73 cm.
What is the Pythagoras theorem?The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.
The legs of a right triangle are lengths 48cm and 55cm.
Let ABC be the right angle triangle and AB is the hypotenuse.
To find the length of the hypotenuse we will use the Pythagoras theorem,
\(AB^2 = BC^2 + AC^2\\\\AB^2 = 48^2 + 55^2\\\\AB^2 = 2304 +3025\\\\AB^2 = 5329\\\\AB = \sqrt{5329} \\\\AB = 73\)
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For each value of y, determine whether it is a solution to 7= y ÷ 3.
the answer is yes, 21
Step-by-step explanation:
you would multiply 7 and 3 to get y
Help please thanks looks at pic attached
Answer:
m || n only when the corresponding angles will be equal.
Step-by-step explanation:
Here its only given that vertical angles are equal. But it doesn't prove m || n . If the corresponding angles wouls have been equal , then only we can prove that m || n.
6 times 8 = ? times 6
6 * 8 = 48
6 • 8 = 48
6(8) = 48
48 * 6
= 288
Answer:288
Step-by-step explanation:
6×8=46 and
46×6=288
write an explicit formula for a subscript n, the nth term of the sequence 8, 11, 14,...
please please help
The required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.
What is arithmetic progression?Arithmetic progression is the series of numbers that have common differences between adjacent values.
here,
The Sequences 8, 11, 14,...
first term a = 8
common difference = 11 - 8 = 3
Now,
The explicit formula is given as,
nth terms = a + (n - 1)d
nth term = 8 + (n - 1)3
Thus, the required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.
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An urn contains 6 red, 5 blue and 2 green marbles. If 2 marbles are picked at random, what is the probability that both are red?
Answer:
7% they wont be picked and 6% they will
PLZ PLZ PLZ PLZ HELP!!!!!!!!!!
What is the surface area in square inches of a cube whose edges are 9 inches long?
Answer:
486 inches
Step-by-step explanation:
multiply 9×9=81
then multiply 81×6 (because there are 6 sides)
Answer:
486 on Edge 2022-2023
Step-by-step explanation:
HOPED THIS HELPED YOU
HAVE A GOD-LIKE DAY
EVEN TO EVERYONE THATS ON EDGE
PLEASE HELP ASAP!!! I'LL MARK BRAINLIEST TO RIGHT ANSWER!!!
The solution of the inequality is, x ∈ (- ∞, 5) ∪ (10, ∞)
Where, x represent the number of totts.
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
We have to given that;
My friend Raw has either no more than 5 toots and more than 10 toots.
Now, Let number of toots = x
Hence, We get;
⇒ x < 5
And, x > 10
Thus, The solution of the inequality is,
⇒ x ∈ (- ∞, 5) ∪ (10, ∞)
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Blake walked 7/8 Ora a mile in 1/5
of an hour. If Blake continued walking at the same rate, what is the distance he would travel in one hour?
Answer:
4.375 miles
Step-by-step explanation:
7/8/12=x/60
12x=60(7/8)
12x=52.5
x=4.375
a=3 b=2 c=7
a+b+c=??
Help me please thank you
Answer: 13
Step-by-step explanation:
Given:
a+b+c, where a=3, b=2, c=7
Solve:
Given
a+b+c
Substitute values into the expression
=(3)+(2)+(7)
Combine like terms
=6+7
=13
Answer:
12
Step-by-step explanation:
Replace the letters by the given numbers
a+b+c
3+2+7
=12
Identify the initial value and rate of change for the graph shown. (4 points) A coordinate plane is shown. A line passes through the y-axis at 2 and passes through the point 2 comma 4. a Initial value: 1, rate of change: 2 b Initial value: 2, rate of change: 1 over 2. c Initial value: 2, rate of change: 1 d Initial value: 1 over 2., rate of change: 2
Answer: the initial value is 2 and the rate of change is 1.
7. If AHBN - ALYR, find the value of x.
B
R
*+11
28
Y 21
L
N
H
3x-7
Answer:
x = 13
Step-by-step explanation:
I created a proportion from similar sides HB ≈ LY and NH ≈ RL
28/21 = (3x - 7)/(x + 11)
then cross-multiply to get
28(x + 11) = 21(3x - 7)
28x + 308 = 63x - 147
28x = 63x - 455
-35x = -455
x = 13
Find the area of the circle pictured above.
Round your answer to the nearest tenth
Answer:
A ≈ 314.2 units
Step-by-step explanation:
To find the area of the circle, we will use the given formula. We are given the diameter (d), 20, and the radius (r) is half of the diameter. 20 units / 2 = 10 units for our radius (r).
A = πr²
A = π(10)²
A ≈ 314.15927
Now, we are asked to round to the nearest tenth.
A ≈ 314.2 units
Easy question! TOTALLY not a lot of points!
Find the scale factor for the figure below.
Too easy XD I don’t remember how to do that T-T
Ike Phillips worked 6.7 hours at time-and-a-half pay and 3.4
hours at double-time pay last week. His regular earnings for
the week were $454.80 figured on a regular pay rate of $11.37
an hour.
27. What were Ike's time-and-a-half and double-time pay rates?
28. What amounts did he earn for time-and-a-half and double-time work?
29. What was Ike's total gross pay for the week?
Working out the different pay rates earned by Ike Phillips :
Time and half pay rate = $17.055Double pay rate = $22.74Time and half earning = $114.2685Double rate earning = $77.316Gross earning = $646.3845Let :
Regular rate = $11.37
Total earning for the week = $454.80
Double pay hours = 3.4
Time and half pay hours = 6.7
Time and half pay rate = 1.5 × regular pay rate = 1.5 × 11.37 = $17.055Double pay rate = 2 × regular pay rate = 2 × 11.37 = $22.74Time and half earning = rate × time = $17.055 × 6.7 = $114.2685 Double rate earning = rate × time = $22.74 × 3.4 = $77.316Gross earning = (regular + time and half + double earning) = $(454.80+114.2685+77.316) = $646.3845Therefore, Ike's gross earning for the week is $646.3845
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Max surveyed 100 of the 200 7th graders that attend his school to help determine new lunch choices in the lunch room. He has come up with these findings.
Which statement is supported by the information in his graphs?
A
It can be inferred that on the days that students are offered pizza and salad, 70% of students are pleased with the offerings.
B
It can be inferred that about the same number of students get a salad as the number of students that like cheeseburgers and tacos combined.
C
It can be inferred that pizza and chicken nuggets should be the only meals offered in the cafeteria to please the most students each day.
D
It can be inferred that if the lunchroom offered cheeseburgers and tacos on the same day, every student would get a tray that day.
Answer:
i think it's c id
Step-by-step explanation:
The statement that is supported by the information in his graphs is C. It can be inferred that pizza and chicken nuggets should be the only meals offered in the cafeteria to please the most students each day.
What is a Supporting Detail?This refers to the use of evidence to support a claim based on available data to show its validity.
Hence, we can see that from the information in the graphs, we can see that 50% of students prefer using trays and they represent half of the students from the students that prefer trays, they prefer to eat pizza and chicken nuggets and option C is the correct answer.
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Please help me it’s due by tomorrow
Answer:
You can use additive inverse to combine like terms that are on the opposite sides of the equation.
Step-by-step explanation:
Example:
3x + 1 = 6x - 12
You can use additive inverse to move -12 to the +1.
A sample of typical undergraduate students is very likely to have a range of GPAs from 1.0 to 4.0, whereas graduate students are often required to have good grades (e.g., from 3.0 to 4.0). Please explain what influence these two different ranges of GPA would have on any correlations calculated on these two separate groups of students.
The different GPA ranges between undergraduate and graduate students can potentially lead to stronger correlations among graduate students compared to undergraduate students due to the narrower range and higher academic requirements in the graduate student group.
The different ranges of GPAs between undergraduate and graduate students can have an impact on the correlations calculated within each group.
Firstly, it is important to understand that correlation measures the strength and direction of the linear relationship between two variables. In the case of GPAs, it is typically a measure of the relationship between academic performance and another variable, such as study time or test scores.
In the undergraduate student group, the GPA range is wider, spanning from 1.0 to 4.0.
This means that there is a larger variability in the GPAs of undergraduate students, with some students performing poorly (close to 1.0) and others excelling (close to 4.0).
Consequently, correlations calculated within this group may be influenced by the presence of a diverse range of academic abilities.
It is possible that the correlations might be weaker or less consistent due to the broader range of performance levels.
On the other hand, graduate students are often required to have higher GPAs, typically ranging from 3.0 to 4.0.
This narrower range suggests that graduate students generally have higher academic performance, as they have already met certain criteria to be admitted to the graduate program.
In this case, correlations calculated within the graduate student group may reflect a more restricted range of performance, potentially leading to stronger and more consistent correlations.
Overall, the different GPA ranges between undergraduate and graduate students can influence correlations calculated within each group.
The wider range in undergraduate students may result in weaker correlations, whereas the narrower range in graduate students may yield stronger correlations due to the higher academic requirements.
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In Algebra, we learn about many types of functions. These functions vary from simple to
complex. Think about the different types of functions we've explored so far (linear,
quadratic, and exponential). What features do they share, and how are they unique?
Answer:
they share some features like;exponents,
mathematical signs, variables and more
The shared feature is that the 3 are functions relating y and x, and the uniqueness is on the exponent (or degree for the first two cases).
What the functions have in common?A linear function is:
y = a*x + b
A quadratic function is:
y = a*x^2 + b*x + c
An exponential function is:
y = A*(b)^x
So, the thing that we can see that the functions have in common is that in all of them, the variable y depends on the variable x.
How these functions are different?Well, the exponents are clearly different.
The linear function is of degree 1, the quadratic function is of degree 2, and in the exponential function the variable is in the exponent (it is not a polynomial like in the first two cases).
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The area of the surface obtained by rotating about the x-axis the curve y=5* between x = 4 and x = 16 is given by (Select all that applies) Your answer: : -516 Os=225;"V3+ (en S2 TT + dx dy dy 54 16 =
The area of the surface obtained by rotating the curve y = 5√x about the x-axis between x = 4 and x = 16 is equal to -516.
To find the area of the surface obtained by rotating the curve y = 5√x about the x-axis, we can use the formula for the surface area of revolution:
S = ∫[a,b] 2πy√(1 + (dy/dx)²) dx
In this case, the curve y = 5√x is being rotated about the x-axis between x = 4 and x = 16.
To calculate the area, we need to find dy/dx, which is the derivative of y with respect to x.
Taking the derivative, we have dy/dx = (5/2)x^(-1/2).
Substituting these values into the formula, we get:
\(S = \int{ [4,16] 2\pi (5\sqrt{x} )\sqrt{(1 + ((5/2)x^{-1/2})^2)} } \, dx\)
Evaluating this integral over the given interval, we find that the area of the surface is -516.
It's worth noting that the negative sign in the answer indicates that the surface is concave down, which is consistent with the shape of the curve being rotated.
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PLZ HELP !!!!!!
28x+36y=2520 Write this in slope intercept form or graph!!
Answer:
y= -7/9 x+70
Step-by-step explanation:
28x+36y=2520
36y=-28x+2520
y= -7/9 x+70
Simplify the following: 3(2x-5)=15
Answer:
x=5
Step-by-step explanation:
3(2x-5) =15
6x-15=15
6x=15+15
6x= 30
6x/6=30/6
x=5