Answers
We see that when y is 4, x is 3. Therefore, A is the answer.
Related Questions
Find two numbers, if Their sum is −7 and their difference is 14
Answers
a------------> first number
b------------> second number
we know that
a+b=-7--------> a=-7-b----------> equation 1
a-b=14--------> equation 2
I substitute 1 in 2
(-7-b)-b=14-------------> -7-b-b=14----------> -7-2b=14-------> 2b=-7-14
2b=-21---------> b=-10.5
a=-7-b-------> a=-7-(-10.5)-----> a=-7+10.5------> a=3.5
the answer is
the two numbers are
a=3.5
and
b=-10.5
Answer:
3.5 and -10.5
Step-by-step explanation:
i checked, its correct
Deandres coffee shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Deandre $5.95 per pound, and type B coffee costs $4.50 per pound. This month, Deandre made 136 pounds of the blend, for a total cost of $684.50. How many pounds of type B coffee did he use?
Answers
.. (136 -b)*5.95 +b*4.50 = 684.50
.. 809.20 -1.45b = 684.50 . . . . . . . eliminate parentheses
.. 124.70 = 1.45b . . . . . . . . . . . . . . . add 1.45b-684.50
.. 86 = b . . . . . . . . . . . . . . . . . . . . . . divide by 1.45
Deandre used 86 pounds of type B coffee in his blend.
Rob is a tractor salesman last week his total sales amounted to 38,642.00 and he received 2,704.94 in commission what is his rate of commission
Answers
Rob's commission is 7% of his sales.
n operator in the plant has a monthly salary of $3,200. Thirty-three percent (33%) of her salary is deducted for income tax. How much money is deducted from her salary for income tax each month? $736.00 $960.00 $1,056.00 $2,144.00
Answers
(3,200*33)/100=105,600/100=1,056
is the third choice
Crystal's mud mask costs $23 for a 0.45 oz jar. She found the same mud mask online for $72. What is the size of the jar Crystal found online? (Round your answer to the nearest tenth)
Answers
What expression represents "eight more than a number cubed and 2"?
Possible Answers:
Answers
in a gift store the ratio of cards to flowers was 8 to 7 if there were 56 cards how many flowers were there show how you got your answer please
Answers
Form your proportion.
8 cards 56 cards
-------------- = --------------- ⇒ 8/7 = 56/x
7 flowers ? flowers
Solve for x by cross-multiplying.
8/7 = 56/x
8x = (7)(56)
8x = 392
x = 49
Use the formula V = s³, where V is the volume and s is the edge length of the cube, to solve this problem. A cube-shaped container has an edge length of 23 feet. What is the volume of the container? Enter your answer, as a fraction in simplest form, in the box. ft³
Answers
2/3(2/3)(2/3) = (2*2*2)/(3*3*3) = 8/27.
V=s³
s=23 ft
2. When you substitute the value of "s" into the fomula for calculate the volume (V=s³), you obtain:
V=(23 ft)³
V=12167 ft³
3. When you write it as a fraction, you have:
V=(12167/1) ft³
4. Then, the volume of the container is:
V=(12167/1) ft³
what is the probability of picking a vowel from the word invite?
Answers
what is 2/3 × 5 in simplest form
Answers
Brainliest please?
2*5=10 or in decimal form 3.3333 repeating
3 1 3
What are the coordinates of the image produced by applying the composition / to the point (–3, –6)?
A.
(–6, –3)
B.
(3, –6)
C.
(3, 6)
D.
(6, 3)
Answers
Answer:
b
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
The sum of a number and its square is 2. Find the number(s).
Answers
.. x^2 +x = 2
.. x^2 +x +1/4 = 9/4 . . . . add 1/4 to complete the square
.. x +1/2 = ±3/2 . . . . . . . .square root
.. x = -2, 1
Numbers meeting that requirement are -2 and 1.
The number 'x' that satisfies the condition of the sum of a number and its square equaling 2 are 1 and -2. This is determined by setting up a quadratic equation and solving for 'x'.
Explanation:To solve this problem, let's start by defining the unknown number we are looking for as 'x'. According to the problem, the sum of a number (x) and its square (x²) equals 2. As a mathematical equation, this would be written as x + x² = 2.
Once this equation is set up, we can solve for x. However, the equation is quadratic, which means it may have two solutions. Anyway, the equation can be rearranged into the standard quadratic format as x² + x - 2 = 0. It can be factored into (x - 1)(x + 2) = 0. This gives us two potential solutions for x: x = 1 and x = -2.
To verify if these solutions are valid, we can substitute them back into the original equation: 1 + 1² = 2 is true, and -2 + (-2)² = 2 is also true. Thus, both of these numbers, 1 and -2, are solutions to the original problem.
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Find two numbers, if their sum is (−1/3) and their difference is 18. PLEASE HELP
Answers
x-y=18
solve the system of equation:
equation 1 + equation 2: 2x=17&2/3=16&5/3
x=8&5/6
y=-1/3 -8&5/6=-8&7/6=-9&1/6
x=[tex]x=8\frac{5}{6} , y=-9 \frac{1}{6} [/tex]
The two numbers are 53/6 and -55/6.
What is Addition?Addition is one of the basic mathematical operations where two or more numbers is added to get a bigger number.
The process of doing addition is also called as finding the sum.
Let x and y be the two numbers.
We have sum of them is -1/3
x + y = -1/3 [Equation 1]
The difference of two numbers is 18.
x - y = 18 [Equation 2]
Adding equations 1 and 2,
x + y + x - y = -1/3 + 18
2x = 18 - [tex]\frac{1}{3}[/tex]
2x = 53/3
x = 53/6
Substituting the value in equation 1,
53/6 + y = -1/3
y = -1/3 - 53/6
= -55/6
Hence the numbers are 53/6 and -55/6.
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What is the surface area of this right rectangular prism? Enter your answer in the box. in² A rectangular prism with a length of 3 inches, a width of 1 inch, and a height of 2 inches.
Answers
Answer:
Surface Area of Rectangular Prism is 22 [tex]in^2[/tex]
Step-by-step explanation:
Given: Dimensions of Rectangular prism are Length = 3 inches, width = 1 inch and height = 2 inches.
To find: Surface Area of Rectangular Prism
Formula Used for Surface Area of Rectangualr Prism
= 2 × ( Lenght × Width + Width × Height + Height × Length )
⇒ Surface Area = 2 × ( 3 × 1 + 1 × 2 + 2 × 3 )
= 2 × ( 3 + 2 + 6 )
= 2 × ( 11 )
= 22 [tex]in^2[/tex]
Therefore, Surface Area of Rectangular Prism is 22 [tex]in^2[/tex]
Answer:
22 inches
Step-by-step explanation:
A ballroom in a hotel has the shape shown in the diagram. The hotel manager needs to determine how much carpet is needed to recarpet this area. All angles are right angles. The area of the ballroom is
Answers
the area of the rectangle :
[tex]3 \times 12 = 36[/tex]
the area of the square:
[tex] {6}^{2} = 36[/tex]
the area of the whole shape:
[tex]36 + 36 = 72[/tex]
hope this helps
Answer:
126 square yards
Step-by-step explanation:
Please help!:
Charlie built a toy using a rectangular prism and cubes as shown below.
What is the surface area of the toy Charlie built?
A.650 sq cm
B.350 sq cm
C.550 sq cm
D.400 sq cm
Answers
you invest $2,000 in a stock plan and another $2,000 in a savings account the stock plan decreases 7% the first year and gains 10% the second-year the savings account earns 3.7 APR and compounds annually what's the difference in earnings between the stock and savings account in the end of the second year
Answers
The difference in earnings between the stock and savings account in the end of the second year is $104.74.
What is the difference between the stock and savings account?The value of the stock plan at the end of the first year = (100 - 7) x 2000
0.93 x 2000 = $1860
The value of the stock plan at the end of the second year = (100 + 10) x 1860 = $2046
The future value of the savings account = 2000(1.037^2) = $2150.74
Difference = $2150.74 - $2046 = $104.74
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a person travels 640 mi in 10 hours. What is the rate in miles per hour?
Answers
The formula is distance over time or d/t.
Distance=640
Time=10
640/10=64.
HOPE THIS HELPED☺☺
(x+6)(x-2)(x-1)=60 write a polynomial
Answers
1) Multiplication of terms within parentheses correctly.
2) Rewrite the expression respecting power properties.
3) Add or subtract terms of equal power.
Note: See attached image.
Answer:
x ^ 3 + 3x ^ 2 -16x - 48 = 0
Find the absolute maximum and minimum values of f on the set
d. f(x, y) = xy2 + 2, d = {(x, y) | x ≥ 0, y ≥ 0, x2 + y2 ≤ 3}
Answers
[tex]\implies\begin{cases}f_x=y^2=0\\f_y=2xy=0\end{cases}[/tex]
which occurs whenever [tex]y=0[/tex] or [tex]x=0[/tex]. Under either condition, we have [tex]f(x,0)=f(0,y)=2[/tex]. The equations above admit no other critical points on the surface, so we consider the boundaries. We already have [tex]x=0[/tex] and [tex]y=0[/tex] accounted for, so let's look at the circular part.
We can parameterize this by
[tex]\begin{cases}x=\sqrt3\cos t\\y=\sqrt3\sin t\end{cases}[/tex]
with [tex]0\le t\le\dfrac\pi2[/tex]. So now
[tex]f(x,y)=f(x(t),y(t))=F(t)=(\sqrt3\cos t)(\sqrt3\sin t)^2+2[/tex]
[tex]\implies F(t)=3^{3/2}\cos t\sin^2t+2[/tex]
which can be written in terms of cosine alone as
[tex]\implies F(t)=3^{3/2}(\cos t-\cos^3t)+2[/tex]
Now, we get critical points at
[tex]F'(t)=3^{3/2}\sin t(3\cos^2t-1)=0\implies t=0\text{ or }\arccos\dfrac1{\sqrt3}[/tex]
We omit [tex]t=0[/tex], because that gives us [tex]F(0)=2[/tex] again. Meanwhile, when [tex]t=\arccos\dfrac1{\sqrt3}[/tex], we get [tex]F\left(\arccos\dfrac1{\sqrt3}\right)=4[/tex].
Finally, we compute the corresponding critical point in terms of [tex]x,y[/tex]. We have
[tex]\begin{cases}x=\sqrt3\cos\left(\arccos\dfrac1{\sqrt3}\right)=1\\\\y=\sqrt3\sin\left(\arccos\dfrac1{\sqrt3}\right)=\sqrt2\end{cases}[/tex]
So to summarize, minimum values of 2 are obtained anywhere along the borders where [tex]x=0[/tex] or [tex]y=0[/tex], and a maximum value of 4 at [tex](x,y)=(1,\sqrt2)[/tex].
The absolute minimum and maximum values of a function are the least and highest values, the function can take.
The absolute maximum and minimum values of f are 4 and 2, respectively.
The function is given as:
[tex]\mathbf{f(x,y) = xy^2 + 2}[/tex]
First, we determine the partial derivatives of f(x,y)
[tex]\mathbf{f_x(x,y) = y^2}[/tex]
[tex]\mathbf{f_y(x,y) = 2xy}[/tex]
Substitute 0 for y in the first equation.
So, we have:
[tex]\mathbf{x = 0}[/tex]
This means that:
[tex]\mathbf{Critical\ Point = f(0,0) = 0}[/tex]
Next, we calculate the extreme values.
We have:
[tex]\mathbf{x^2 + y^2 \le 3}[/tex]
Express as an equation
[tex]\mathbf{x^2 + y^2 = 3}[/tex]
Make y the subject
[tex]\mathbf{y^2 = 3 - x^2}[/tex]
Take square roots
[tex]\mathbf{y = \sqrt{3 - x^2}}[/tex]
Substitute [tex]\mathbf{y = \sqrt{3 - x^2}}[/tex] in [tex]\mathbf{f(x,y) = xy^2 + 2}[/tex]
So, we have:
[tex]\mathbf{f(x) = x(3 -x^2) + 2}[/tex]
Open brackets
[tex]\mathbf{f(x) = 3x -x^3 + 2}[/tex]
Differentiate
[tex]\mathbf{f(x) = 3 -3x^2 }[/tex]
Set to 0
[tex]\mathbf{3 -3x^2 =0}[/tex]
Collect like terms
[tex]\mathbf{3x^2 =3}[/tex]
Divide through by 3
[tex]\mathbf{x^2 =1}[/tex]
Take square roots of both sides
[tex]\mathbf{x =\±\sqrt1}[/tex]
[tex]\mathbf{x =\±1}[/tex]
The domain is given as:
[tex]\mathbf{x \ge 1}[/tex]
So, the possible value of x is:
[tex]\mathbf{x =1}[/tex]
Substitute 1 for x in [tex]\mathbf{y = \sqrt{3 - x^2}}[/tex]
[tex]\mathbf{y = \sqrt{3 - 1^2}}[/tex]
[tex]\mathbf{y = \sqrt{3 - 1}}[/tex]
[tex]\mathbf{y = \sqrt{2}}[/tex]
So, we have:
[tex]\mathbf{(x,y) = (1,\sqrt{2})}[/tex]
This means that, the absolute maximum is at: [tex]\mathbf{(x,y) = (1,\sqrt{2})}[/tex], while the absolute minimum is at [tex]\mathbf{(x,y) = (0,0) }[/tex]
Substitute these values in f(x,y)
[tex]\mathbf{(x,y) = (0,0) }[/tex]
[tex]\mathbf{f(0,0) = 0 \times 0^2 + 2 = 2}[/tex]
[tex]\mathbf{(x,y) = (1,\sqrt{2})}[/tex]
[tex]\mathbf{f(1,\sqrt 2) = 1 \times (\sqrt 2)^2 + 2 = 4}[/tex]
Hence, the absolute maximum and minimum values of f are 4 and 2, respectively.
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Consider the graph of the linear equation 2x-5y=10. What is the x-intercept? What is the y-intercept? What is the slope?
Answers
This linear equation is written in standard form, a form in which it's quite easy to find intercepts for one main reason. This reason revolves around zeros. When you see an x intercept, there's always a zero for the y, and when there's a y you see a zero for the x. Therefore, we can do this to get the intercepts.
For x:
2x-5(0) =10
2x = 10
x = (5,0)
For y:
2(0) -5y = 10
-5y=10
y= (0,-2)
Now, to find the slope, we can easily convert it to slope intercept form:
y = mx+b
Where m is the slope and b is he y intercept.
2x-5y=10
-5y=-2x+10
y = 2/5x-2
(notice how we divided both sides by -5)
Therefore, our slope is 2/5. Hope this helps!
Sketch the graph of the following function. List the coordinates of where extrema or points of inflection occur. State where the function is increasing or decreasing as well as where it is concave up or concave down. f left parenthesis x right parenthesisf(x)equals=3 x cubed minus 36 x minus 73x3−36x−7
Answers
[tex]f'(x)=(3x^3-36x-7)'=9x^2-36[/tex]
We now have to find zeros of this equation:
[tex]9x^2-36=0\\ x^2=\frac{36}{9}\\ x^2=4\\ x_1=2\\ x_2=-2[/tex]
These are x coordinates of our extrema, we calculate y coordinates simply by plugging in x coordinates in our functions:
[tex]f(2)=3(2)^3-36(2)-7=-55\\ f(-2)=3\left(-2\right)^3-36\left(-2\right)-7=41[/tex]
Function incrases when it's first derivative is positive.
Our extrema points are (-2,41) and (2,-55).
This is because the first derivative gives you the slope of the function.
We need to find where our first derivative is positive.
The first derivative is parabola that has positive coefficient a. Parabolas with positive coefficient a ("happy" parabolas or concave) are negative between zeros and positive everywhere else. So our function is increasing when x<-2 and x>2.
In order to determine where the function is concave up or down, we have to find the second derivative.
[tex]f''(x)=(f'(x))'=(9x^2-36)'=18x[/tex]
When the second derivative is positive function is concave up, whet it is negative function is concave down.
Our function is concave up when x>0 and it is concave down when x<0.
The number of miles that a commuter travels a car per day for one seven day work week is as follows: 19, 28, 17, 39, 22, 44, 56. The number of miles that a commuter travels on a bus per day for one seven day work week is as follows: 32, 26, 25, 40, 39, , 49, 22. Which method of transportation has a higher commuter average? Type either car or bus in the space provided. Use all lower case letters and do not use spaces in your answer.
Answers
19 + 28 +17 +39 + 22 + 44 + 56 = 225
225/7 = 32.14
bus:
32 + 26 +25 + 40 + 39 + 49 + 22 = 233
233/7 = 33.29
the bus has the higher average
Nadiya determines that there are no fractions equivalent to 2/10 with a denominator greater than 10, but less than 20, that have a whole number numerator and denominator. Is Nadiya correct?
Yes, Nadiya is correct. By multiplying the numerator and denominator by 2, the first fraction equivalent to 2/10 is 4/20.
Yes, Nadiya is correct. By multiplying the whole fraction by any whole number, each equivalent fraction will continue to have a denominator of 10.
No, Nadiya is incorrect. She could multiply both the numerator and denominator of the unit fraction equivalent to 2/10 by 3 and arrive at the equivalent fraction 3/15.
No, Nadiya is incorrect. She could add any number between 1 and 8 to the numerator and denominator and arrive at an equivalent fraction with a denominator greater than 10 but less than 20.
Answers
No, Nadiya is incorrect. There is a fraction equivalent to 2/10 with a denominator greater than 10 but less than 20, which is 3/15.
Explanation:No, Nadiya is incorrect. She could multiply both the numerator and denominator of the unit fraction equivalent to 2/10 by 3 and arrive at the equivalent fraction 3/15.
When multiplying a fraction by a whole number, both the numerator and the denominator are multiplied by that number. By multiplying 2/10 by 3, we get (2 * 3)/(10 * 3) = 6/30, which can be simplified to 3/15.
Therefore, there is a fraction equivalent to 2/10 with a denominator greater than 10 but less than 20, and it is 3/15.
In the morning,a farm worker packed 3 pints of strawberries every 4 minutes.In the after afternoon,she packed 2 pints of strawberries every 3 minutes.What was the difference between her morning and afternoon packing rates in pints per hour?
Answers
= 45 pt/h -40 pt/h
= 5 pt/h
A grain of sand has a mass of 2.6 × 10–3 gram. A grain of salt has a mass of 6.5 × 10–2 gram. How many times greater is the mass of the grain of salt than the mass of the grain of sand?
Answers
x-----------> mass a grain of salt
y-----------> mass a grain of sand
r----------> ratio mass a grain of salt than mass a grain of sand
we know that
x=6.5 × 10–2 gram
y=2.6 × 10–3 gram
r=x/y----------> r=[6.5 × 10–2]/[2.6 × 10–3]----------> r=25
the answer is
the mass of the grain of salt is 25 times greater than the mass of the grain of sand
Answer:
the person above me is correct
Step-by-step explanation:
Find the slope of the line through p and q. p(0, 0), q(10, 8)
Answers
slope = (8 - 0) / (10 - 0)
slope = 0.8
To find the slope of a line passing through points P(0, 0) and Q(10, 8), use the formula (change in y) / (change in x). The slope is calculated as (8 - 0) / (10 - 0), which simplifies to 0.8.
Explanation:The question asks for the slope of the line that passes through two points, P(0, 0) and Q(10, 8). To find the slope, we use the formula:
Slope (m) = (change in y) / (change in x) = (y2 - y1) / (x2 - x1)
Substituting the coordinates of points P and Q, we get:
m = (8 - 0) / (10 - 0) = 8 / 10 = 0.8
Therefore, the slope of the line through points P and Q is 0.8.
Emily buys the cage and two bowls for $54 the cage cost $40 each for cost the same amount what is the price of one bowl
Answers
PLZ HELP ASAP IF YOU KNOW THE ANSWER!!
Determine whether a triangle with the given side lengths is a right triangle angle: 15 cm, 17 cm and 19 cm
Yes or No_________
Show your work to prove your answer:
Answers
Let’s say:
a= 15
b=17
c=19
the formula for Pythagorean theorem is a^2+b^2=c^2
15^2+17^2=19^2
225+289=361
514=361
Since we didn’t get a true statement the triangle is not a right triangle
kyle bought 28 feet of wire at the handware store. the wire cost was $2.79per foot, including sales tax. if kyle paid with a $100 bill, how much change should he have received?
Answers
Please vote my answer! Brainliest.