Answer:
x³+y³=4697
Step-by-step explanation:
x+y=11
y=11-x
325=x²+y²
=x²+(11-x)(11-x)
=x²+121-11x-11x+x²
325=2x²-22x+121
0=2x²-22x-204
=(2x+12)(x-17)
0=2x+12 or 0=x-17
-12=2x 17=x
-6=x
y=11-x
y=17 or -6
(-6,17) or (17,-6)
=x³+y³
=(-6)³+(17)³
=4697
Evaluate the expression when b=-7 and y=7 b-4y
[tex]b = - 7 \: y = 7[/tex]
[tex]b - 4y[/tex]
[tex]( - 7) - 4(7)[/tex]
[tex] - 7 - 28[/tex]
[tex] = - 35[/tex]
Answer:
-35
Step-by-step explanation:
b-4y
We know b = -7 and y =7
-7 - 4(7)
Multiply
-7 -28
Add
-35
Solve for x.
x2 + 4x - 21 = 0
A.
-3, -7
B.
-3, 7
C.
3, -7
D.
3, 7
Answer:
C. 3, -7
Step-by-step explanation:
x^2 +4x-21 =0
Factor
What 2 numbers multiply to -21 and add to 4
7*-3 = -21
7-3 = 4
(x+7) (x-3) =0
Using the zero product property
x+7 =0 x-3=0
x+7-7=0-7 x-3+3=0+3
x = -7 x=3
Answer:
C. 3, -7Step-by-step explanation:
[tex]x^2+4x-21=0\\\\x^2+7x-3x-21=0\\\\x(x+7)-3(x+7)=0\\\\(x+7)(x-3)=0\iff x+7=0\ \vee\ x-3=0\\\\x+7=0\qquad\text{subtract 7 from both sides}\\x=-7\\\\x-3=0\qquad\text{add 3 to both sides}\\x=3[/tex]
Mangled angles I need the rest of these
Answer:
it is already fikled ok
Step-by-step explanation:
If [tex]8a^{3b}[/tex] = 1 and a > 0, find the value of [tex]a^{2b} - \frac{1}{a^{b} }[/tex]
Some factoring lets us write
[tex]a^{2b}-\dfrac1{a^b}=a^{2b}-a^{-b}=a^{-b}(a^{3b}-1)[/tex]
Then
[tex]8a^{3b}=1\implies a^{3b}=\dfrac18[/tex]
[tex]a^{2b}-\dfrac1{a^b}=a^{-b}\left(\dfrac18-1\right)=-\dfrac78a^{-b}=-\dfrac7{8a^b}[/tex]
Taking the cube root to solve for [tex]b[/tex], we find
[tex]\sqrt[3]{a^{3b}}=\sqrt[3]{\dfrac18}\implies a^b=\dfrac12[/tex]
so ultimately
[tex]a^{2b}-\dfrac1{a^b}=-\dfrac7{8\cdot\frac12}=-\dfrac74[/tex]
Answer:
The value of the given expression is 1 - 1 = 0
Step-by-step explanation:
8a^{3b} = 1 can be rewritten as (8a³)^b = 1 = (8a³)^0, which indicates that b = 0. If b= 0, then 2b = 2(0) = 0.
Then a^(2b) = a^0 = 1, and 1/a^b = 1/1 = 1.
Thus, the value of the given expression is 1 - 1 = 0
True or False? A circumscribed about the quadrilateral below .
Answer:
TRUE
Step-by-step explanation:
The center is visible
Answer:
it would depend on how big the circle would have to be in this case it would be true I believe
Step-by-step explanation:
If f(x) = √3x+2, what is the equation for f^-1(x)
Answer:
The correct answer is D) f(x) = (x^2 - 2)/3
Step-by-step explanation:
To find an inverse function, swap x and f(x) and then solve for the new f(x). That will be the new inverse function.
f(x) = √3x+2
x = √3f(x)+2
x - 2 = √3f(x)
x^2 - 2 = 3f(x)
(x^2 - 2)/3 = f(x)
i require assistance
Answer:
D
Step-by-step explanation:
The horizontal asymptote is found by considering the ratio of the coefficients of the highest degree terms on the numerator and denominator, that is
coefficient of 6x² on the numerator ⇒ 6
coefficient of 9x³ on the denominator ⇒ 9
The horizontal asymptote is
y = [tex]\frac{6}{9}[/tex] ⇒ y = [tex]\frac{2}{3}[/tex] → D
One way to rename 5 3/10 is 4 8/10 .
Answer:
that answer is false
Step-by-step explanation:
Chef Rita is cooking a Sunday brunch. She knows that 22 pancakes can feed 8 people. She wondering how many people she can feed with 55 pancakes. She assumes each person eats the same quantity of pancakes
she could feed 20 people. To find the answer put 22/8 simplify to get 11/4 then multiply by 5/5
Answer:
22/8 simplify to get 11/4 then multiply by 5/5
Step-by-step explanation:
the area of a rectangle is 160 in squared. the ratio of the length to the width is 5:2 find the length and width
let x=length
let y=width
x/y=5/2
y=2x/5
area=length*width
area=x*y=x(2x/5)=2x^2/5
2x^2/5=360
2x^2=1800
x^2=900
x=30
y=60/5=12
length= 30 inches
width= 12 inches
there you go!
The dimensions of the rectangle are 20 inches in length and 8 inches in width.
Explanation:The rectangle has an area of 160 square inches, and the length ratio to the width is 5:2. Let's denote the length as 5x and the width as 2x. The equation for the area of a rectangle is width * length, so we set up and solve the following equations:
The square
Then, we multiply 'x' with the respective parts of the ratio (5 and 2) to find the length and width:
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i have a math problem im confused on don't mind the pencil
Answer: 261.5 in²
Step-by-step explanation:
Separate the image into three shapes:
Top (Trapezoid)Middle (Rectangle)Bottom (Rectangle)Top (Trapezoid):
[tex]A=\dfrac{b_1+b_2}{2}\cdot h\\\\\\.\ =\dfrac{9+(4+6+4)}{2}\cdot 5\\\\\\.\ =\dfrac{23}{2}\cdot 5\\\\\\.\ =\dfrac{115}{2}\\\\\\.\ =\boxed{57.5}[/tex]
Middle (Rectangle):
[tex]A=L\times w\\.\ =6\times 10\\.\ =\boxed{60}[/tex]
Bottom (Rectangle):
[tex]A=L\times w\\.\ =18\times 8\\.\ =\boxed{144}[/tex]
[tex]Area_{\ image}=Area_{\ Top}+Area_{\ Middle}+Area_{\ Bottom}\\.\qquad\qquad=57.5+60+144\\.\qquad\qquad=\large{261.5}[/tex]
A printer prints 34 pages in 4 minutes
Answer:
the printer prints 8.5 pgs per minute
Step-by-step explanation:
34 ÷ 4 = 8.5
There are 3.4 pages does it print per minutes.
What is the unitary method?The unitary method is a fundamental concept of Mathematics and makes it convenient to solve various sums.
Let, x be the number of prints print per minute.
A printer prints 34 pages in 4 minutes. How many pages does it print per minutes?
The number of pages prints per minute is given by;
[tex]\rm Per \ minute \ print \ Pages=\dfrac{Total \ number \ of \ print \ pages}{Print \ in \ minutes}\\\\ Per \ minute \ print \ Pages=\dfrac{34}{4}\\\\ Per \ minute \ print \ Pages=8.5[/tex]
Hence, there are 3.4 pages does it print per minutes.
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Simplify the expression 8x^2y^2/10 x^2y^3 and the missing terms. The simplest form of 8x^2y^2/10x^2y^3 has in the numerator and in the denominator.
Answer: 2/5y
Step-by-step explanation:
[tex]\frac{8x^{2}y^{2} }{10x^{2}2y^{3}} = \frac{(2)(2)(2)xxyy}{(5)(2)(2)xxyyy}[/tex]
remove common factors on top and bottom
= 2/5y
Plz help me with number 8 plz help me I’m begging you plz help me I need your help plz help me I’m begging you plz help me
Answer:
B. 990<s<1,850
seal dive, s is greater than 990ft and less than 1850 ft
=》 990<s<1850
In the circus, a leopard has been trained to jump through a ring of fire that has a diameter of 2 meters. What is the ring's radius?
The radius of the ring is 1 meter.
Given a ring of fire has a diameter of 2 meters for which a leopard has been trained to jump through.
As we know that in a circle that has a diameter 'd', the radius 'r' is equal to half of the diameter. This means,
[tex]r = \frac{d}{2}[/tex]
Also, the perimeter of this circle is given by
[tex]2\pi r[/tex]
Now,
As given in the question, we have,
The diameter of the ring of fire = 2 meters
So,
The radius of a ring of fire
[tex]= \frac{2}{2}[/tex]
[tex]= 1 meter[/tex]
Hence, the radius of the ring of fire is 1 meter.
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The radius of a circle with a diameter of 2 meters is 1 meter. The radius is found by dividing the diameter by two.
Explanation:The question pertains to determining the radius of a circle when the diameter is given. The ring through which a leopard jumps in the circus has a diameter of 2 meters.
The formula for the diameter of a circle is d = 2r, where d is the diameter and r is the radius of the circle. To find the radius, we simply divide the diameter by 2.
Therefore, the radius of the ring is 1 meter, as r = d / 2 and thus, r = 2 meters / 2.
How do I do questions 8-10?
Answer:
see explanation
Step-by-step explanation:
Divide the coordinates of the dilation by the original coordinates
(8)
[tex]\frac{6}{9}[/tex] = [tex]\frac{8}{12}[/tex] = [tex]\frac{2}{3}[/tex]
(9)
[tex]\frac{12}{10}[/tex] = [tex]\frac{-8}{-15}[/tex] = [tex]\frac{6}{5}[/tex]
(10)
[tex]\frac{-9}{-1}[/tex] = 9
given triangle abc ~ triangle def. what is the value of x?
if triangles are similar then corresponding internal angles are equal
=》 x = 180-(50+60) = 70degrees
The measure of angle x is the same as the measure of angle c which is,
x = 70°
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know triangles that are similar to each other have equal measures of corresponding angles.
Given, ΔABC ≈ ΔEDF,
Therefore, m∠B = m∠E = 50° and m∠D = m∠A = 60.
So, The measure of angle x is,
x = 180 - 50 - 60. (sum of interior angles equals 180°)
x = 180 - 110.
x = 70°.
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There are 14 apples in a basket. 6 of these are green. The rest of them are red.
(a) what is the ratio of all apples in the basket to red apples?
(b) what is the ratio of red apples to green apples?
(a) ; 14:8
(b) ; 8:6
Answer:
a = 14:8
b = 8:6
Step-by-step explanation:
----
What does the expression m2p ÷ 3 equal if m = 3 and p = 6?
Answer:
12
Step-by-step explanation:
The correct answer is 12
Let g(x) be the reflection across the y-axis of the function f(x) = 5x + 8. Identify the rule for g(x).
A: g(x) = 5x − 8
B: g(x) = −5x + 8
C:g(x) = −5x − 8
D: g(x) = 5x + 8
Answer:
Option B: g(x) = −5x + 8
Step-by-step explanation:
If we have a function f(x) and wish to make a function g (x) that is equal to the reflection of the function f(x) on the y-axis, then we must make the following transformation to f(x):
[tex]g(x) = f(-x)[/tex]
In this case:
[tex]f(x) = 5x +8[/tex].
So when applying the transformation we obtain:
[tex]g(x) = f(-x) = 5(-x) + 8[/tex]
Finally we have that
[tex]g(x) = -5x +8[/tex]
Answer:
Your answer would be: B
Step-by-step explanation:
What is the value of the expression
Answer:
B 1/3
Step-by-step explanation:
3^-3 * 3^8
----------------------
3^6
We know that a^b * a^c = a^(b+c)
3^(-3+8)
----------------------
3^6
3^(5)
----------------------
3^6
We know that a^b divide by a^c = a^(b-c)
3^(5-6)
3^-1
A negative exponent means it goes in the denominator of the fraction
1/3^1
1/3
What fraction is less than 3/4
A fraction lesser than 3/4 is 1/2
What is a fraction?A fraction a part of a whole number can be written in a way such that the upper part is the numerator and the lower part is the denominator and these two are separated by a division line.
From the information given;
The fraction 3/4 can be written as [tex]\mathbf{\dfrac{3}{4}}[/tex], in decimal value, it is 0.75.
A fraction lesser than 3/4 can be 1/2 because the decimal value of 1/2 is 0.5.
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Fractions less than 3/4 have a numerator to a denominator ratio that equals a number less than 0.75. Examples of such fractions are 1/2 and 2/3.
Explanation:To determine which fraction is less than 3/4, it's important to remember that a fraction represents a division: the numerator (upper number) divided by the denominator (lower number). Fractions that are less than 3/4 have a ratio of the numerator to the denominator that results in a number less than 0.75, which is the decimal equivalent of 3/4.
For example, the fraction 1/2 is less than 3/4, because 1 divided by 2 equals 0.5, and 0.5 is less than 0.75. Similarly, the fraction 2/3 is less than 3/4, because 2 divided by 3 equals approximately 0.67, and 0.67 is again less than 0.75. Knowing the division values, even approximately, can help you quickly figure out if a fraction is less than or greater than another one.
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Which step is the most efficient way to find the solution of x + 4 > -8?-
Answer:
see explanation
Step-by-step explanation:
given
x + 4 > - 8 ( subtract 4 from both sides )
x > - 12 ← solution
The step to use is subtract 4 from both sides
The value of x is -12
Step-by-step explanation:x + 4 > -8
Subtract 4 from both sides
x + 4 -4 > -8 -4
x > -12
What is the mean absolute deviation (MAD) of the data set
( 2,6,8,12,12)??
Answer:
8
Step-by-step explanation:
2+6+8+12+12 is 40 divide that by 5 and it gives you 8
Mike has a storage box that is 3 feet long, 2 feet wide, and 1 foot deep. How many 1-foot cubes can the box hold?
Answer:
I think the answer is 6.
Step-by-step explanation:
Since the box is 1 foot deep and the cubes are 1 foot, they must sit side by side instead of being stacked up. Therefore you multiply length by width 2x3 and you get 6.
WILL GIVE BRAINLIEST!!!
Answer:
A
Step-by-step explanation:
A, because just read the three letters in any order but with the origin in the middle
identify an equation in point slope form for the line perpendicular to y=1/4x-7 that passes through (-2,-6)
Answer:
[tex]y+6=-4(x+2)[/tex]
Step-by-step explanation:
Perpendicular lines are lines which have negative reciprocal slopes. The slope of the equation is 1/4. This means the perpendicular slope is -4. Substitute m = 4 and (-2,-6) into the point slope formula.
[tex]y - y_1 = m(x-x_1)\\y --6=-4(x--2)\\y+6=-4(x+2)[/tex]
Select the domain and range of F. F = {(x, y ) | x + y = 10}. Domain: {10} Range: {10} Set F is not a function and does not contain a domain or range Domain: All Real Numbers Range: All Real Numbers
Answer:
Domain: All Real Numbers
Range: All Real Numbers
Step-by-step explanation:
F is
F = {(x, y ) | x + y = 10}
(x,y) is the ordered pair
x + y = 10 is the expression
We can rearrange it
y = 10 - x
And then we can plot it using a graphing calculator. See attached image
By looking at the plot and examining the expression, we can see that there are no restrictions over x or y.
This means that the domain and range are all real numbers
Domain: All Real Numbers
Range: All Real Numbers
F is a function because it is a relation that associates each element x to a single element y.
Gavin and Caleb go to the movie theater and purchase refreshments for their friends. Gavin spends a total of $22.25 on 2 bags of popcorn and 3 drinks. Caleb spends a total of $39.00 on 12 bags of popcorn and 4 drinks. Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink. Using these equations, determine and state the price of a drink, to the nearest cent.
Answer:
Drinks = 6.75
Popcorn= 1
Step-by-step explanation:
Let the popcorn = P
Let the drink = D
2*P + 3*D = 22.25 multiply this equation by 6
12*P + 4D = 39.00
12P + 18D = 133.5 Subtract these two equations
- 14D = - 94.50 Divide by -14
-14D/-14 = -94.5/-14 Do the division
D = 6.75
=========================
12P + 4D = 39 Substitute for D
12P + 4*6.75 = 39 Combine
12P + 27 = 39 Subtract 27 from both sides
12P + 27-27=39-27 Collect like terms
12P = 12 Divide by 12
12P/12 = 12/12
P = 1 Answer
Answer:
Step-by-step explanation:
For f(x)=3x-5 and g(x) = x^2+2 find (f+g)(x)
Answer:
[tex]\large\boxed{(f+g)(x)=x^2+3x-3}[/tex]
Step-by-step explanation:
[tex](f+g)(x)=f(x)+g(x)\\\\f(x)=3x-5,\ g(x)=x^2+2\\\\\text{Substitute:}\\\\(f+g)(x)=(3x-5)+(x^2+2)=3x-5+x^2+2=x^2+3x+(-5+2)=x^2+3x-3[/tex]
Final answer:
To find (f+g)(x) for the given functions f(x)=3x-5 and g(x)=x²+2, you simply add the two functions to get (f+g)(x) = x²+ 3x - 3.
Explanation:
Adding Functions f(x) and g(x)
To find (f+g)(x), you simply need to add the values of f(x) and g(x) together for any value of x. Given that f(x)=3x-5 and g(x)=x²+2, the sum (f+g)(x) is obtained as follows:
Take the expression for f(x) and g(x):
f(x) = 3x - 5
g(x) = x² + 2
Add the two expressions together:
(f+g)(x) = f(x) + g(x)
(f+g)(x) = (3x - 5) + (x² + 2)
Combine like terms:
(f+g)(x) = x² + 3x - 3
The resulting function (f+g)(x) = x² + 3x - 3 is the sum of the two functions f(x) and g(x).