Answer:
Their present age are 15 and 18
Step-by-step explanation:
a : b = 5 : 6
[tex]\frac{a}{b} = \frac{5}{6} \\\\6a = 5b\\\\a = \frac{5b}{6} \\\\\frac{a-3}{b-3} = \frac{4}{5} \\\\5(a-3) = 4(b-3)\\\\5a - 15= 4b - 12\\\\5a - 4b = 15 - 12\\\\5a - 4b = 3\\\\substitute \ the \ value \ of \ a \ into \ the \ above \ equation;\\\\5(\frac{5b}{6} ) - 4b = 3\\\\25b - 24b = 18\\\\b = 18\\\\now, \ solve \ for \ a;\\\\a = \frac{5}{6} \times 18\\\\a = 15[/tex]
Please help me it's urgent!
Answer:
consistent system, independent system, independent system, inconsistent system
Step-by-step explanation:
1) A system of linear equation with at least one solution is a consistent system.
2) A system of linear equation with exactly one solution that is called independent system
3) A system of linear equations with an infinite number of solution is a dependent system
4) A system of linear equations with no solution is a inconsistent system
39.63+0.30=24.45+0.80
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{39.63 + 0.30 = 24.45 + 0.80}[/tex]
[tex]\large\textsf{39.63 + 0.30}[/tex]
[tex]= \boxed{\large\textsf{\bf 39.93}}\large\checkmark[/tex]
[tex]\large\textsf{24.45 + 0.80}[/tex]
[tex]=\boxed{\large\textsf{\bf 25.25}}[/tex]
[tex]\large\textsf{\bf 39.93 } \mathsf{\bf \neq }\large\textsf{ \bf 25.25}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \bf FALSE or NOT TRUE because 39.93 }\mathsf{\neq }\large\textsf{ \bf 25.25}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Given StartLayout Enlarged left-brace First-row StartFraction x cubed minus 1 Over x squared minus 1 EndFraction, for x less-than 1 second row StartFraction 3 Over x minus 1 EndFraction, for x greater-than-or-equal-to 1 EndLayout. What is Limit of f (x) as x approaches 1 minus?
Negative three-halves
0
Three-halves
DNE
Answer:
Its C 3/2 just did the test
Step-by-step explanation:
The value of the [tex]\lim_{ x \rightarrow 1^-}f(x)[/tex] is ∞, since option (d) DNE.
What is function?Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
How to evaluate the [tex]\lim_{ x \rightarrow 1^-}f(x)[/tex]?The given function is [tex]f(x)=\left\{\begin{array}{l}\frac{x^{3}-1}{x^{2}-1}, \text { for } x < 1 \\\frac{3}{x-1}, \text { for } x \geq 1\end{array}\right[/tex].
We need to evaluate the value of [tex]\lim_{ x \rightarrow {1^-}}f(x)[/tex].
So [tex]\lim_{ x \rightarrow {1^-}}f(x)=\lim_{ x \rightarrow {1}}(\frac{3}{x-1})[/tex]
[tex]=\frac{3}{1-1}[/tex]
[tex]=\frac{3}{0}[/tex]
= ∞
Hence the value of the function is ∞.
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Help a girl out pls
What are the exact solutions of x2 - X-4 = 0, where -b + √b² - 4ac X= 2a Ox= -115 2 Ox= 11 15 2 O x = 1:17 2 0x==137
Answer:
1 ± sqrt(17)
x = ---------------------------
2
Step-by-step explanation:
x^2 - x - 4 =0
Using the quadratic equation
-b ± sqrt(b^2 -4ac)
x = ---------------------------
2a
Where ax^2 +bx +c
We know a =1 b = -1 c = -4
-(-1) ± sqrt((-1)^2 -4(1)(-4))
x = ---------------------------
2(1)
1 ± sqrt(1 +16)
x = ---------------------------
2
1 ± sqrt(17)
x = ---------------------------
2
What is the inverse relation of the function whose equation is y= 3x-2
Answer:
1/3x +2/3 = y
Step-by-step explanation:
y= 3x-2
To find the inverse, exchange x and y
x = 3y-2
And solve for y
x+2 = 3y-2+2
x+2 = 3y
Divide by 3
1/3(x+2) = 1/3(3y)
1/3x +2/3 = y
can someone pls pls help me?
Answer:
area is 320
Step-by-step explanation:
you do h_bb/b and the height is 20 ft and the base is 32 ft so you just plug it in
Which of the pairs of functions and their inverses will always have a domain and range of all real numbers?
Answer:
A pair of linear functions
Step-by-step explanation:
Given
See comment for options
Required
Which has real numbers as its range and domain
The answer to this is, the linear functions
Take for instance
[tex]f(x) = mx + b[/tex]
The above function is real for all values of x
The inverse is calculated as thus:
[tex]f(x) = mx + b[/tex]
Replace f(x) with y
[tex]y = mx + b[/tex]
Swap y and x
[tex]x = my + b[/tex]
Make y the subject
[tex]my = x - b[/tex]
Divide by m
[tex]y = \frac{x - b}{m}[/tex]
Replace y with the inverse function
[tex]f^{-1}(x) = \frac{x - b}{m}[/tex]
The above function (i.e. the inverse function) is real for all values of x
This is not true for other options
what is the area of a flower pot that have the shape of a semi circle and its diameter 2.8cm?
Step-by-step explanation:
The area of a circle = pi r^2
d = 2r Divide by 2 to get the radius
r = d/2
The diameter = 2.8 cm
r = d/2
r = 2.8/2
r = 1.4
The area of the circle = pi * r^1
The area of the circle = 3.14 * 1.4^2
The area of the circle = 6.1544
But you are working with a semic circle
The area of a semicircle is 1/2 that of a circle
Area of semicircle = 1/2 6.1544 = 3.0772 =3.08 when rounded
You have $9 and earn $0.75 for each cup of orange juice you sell. Write an equation that represents the total amount $A (in dollars) you have after selling $j cups of orange juice. $A
Answer:
I believe it's A = 0.75j + 9
Step-by-step explanation:
If x or j is the amount of cups of OJ you sell, and you earn $0.75 per cup.
0.75x
The b = 9 which adds to the total amount of money you have
0.75x+9
A is the total money you earn after you sell j cups.
I hope this helps!
Complete the square x2+6x+3
x^2 + 6x + 9
x^2 + 3x + 3x + 9
x ( x + 3 ) + 3 ( x + 3 )
( x + 3 ) ( x + 3 )
( x + 3 ) ^2
What is the solution to the equation below? Round your answer to two decimal places. 6+7 • log2 x = 21
A. x = 4.42
B. x = 3.06
C. x = 2.61
D. x = 4.59
answer is A. X = 4.42
Step-by-step explanation:
6+ 7•log2 x = 21
7.log2 x = 21-6
7. log2 x = 15
log2 x = 15/7
x = 2^(15/7)
x = 4.416 = 4.42
Could someone help me please if you don’t mind thank you so much!
Answer:
m = 11
Step-by-step explanation:
Given
[tex]\frac{2}{5}[/tex] (m + 4) = 6 ← multiply both sides by 5 to clear the fraction
2(m + 4) = 30 ( divide both sides by 2 )
m + 4 = 15 ( subtract 4 from both sides )
m = 11
This method avoids having to deal with awkward fractions
prove [tex](x+1)^{2}(x+2)=(x^3+3x+21x+1)[/tex] no files
Answer:
LHS ≠ RHS
Step-by-step explanation:
[tex]LHS =\\\\=(x+1)^2 (x + 2) \\\\=(x^2 + 2x + 1)(x+2)\\\\=x(x^2 + 2x + 1) + 2(x^2 + 2x + 1) \\\\=(x^3 + 2x^2 + x ) + ( 2x^2 + 4x + 2) \\\\=x^3 + 2x^2 + x + 2x^2 + 4x + 2 \\\\=x^3 + 4x^2 + 5x + 2[/tex]
Help me pls it’s number 8, will give brainliest but quickly pls
Write each number in standard form.
Answer:
35010
.08190
- 137000
- .00060041
Step-by-step explanation:
positive exponents add zeros to end and move decimal place to right the amount of the exponent.
negative exponents add zeros to begininng and move decimal to the left.
An angle that measures between 90 and 180° is called?
Answer:
Obtuse AngleStep-by-step explanation:
An obtuse angle has a measurement greater than 90 degrees but less than 180 degrees.
What transformation(s) were made to the original f(x) = x graph?
The function was stretched by
factor of 2
The function was shifted to the left 3 units
The function was reflected over the y-axis
The function was shifted upward 2 units
The function was shifted to downward 3 units
The function was reflected over the x-axis
The function was shifted to downward 2 units
The function was stretched by a factor of 0.5
Using the following image, find GH given HI = 1 and GI =
= 9.
Answer:
8
Step-by-step explanation:
Answer:
[tex]{ \tt{GH =GI - HI }} \\ = 9 - 1 \\ GH = 8[/tex]
What is the total cost of a $25 book if the sales tax is 8%?
Answer:
27
Step-by-step explanation:
First find the tax
25 *8%
25*.08
2
Add the tax to the cost of the book
25+2
27
Answer:
simple answer would be 27 dollars
Step-by-step explanation:
the more complicated answer would be:
25 times 0.08 on the calculator (or in your head) would be 2
25 added by 2 would equal 27 dollars
the first one is finding the sales tax total
the second one is subtracting the total cost of the book by the sales tax total to get 27 dollars or the NEW total
What percentage of the data values falls between the values of 27 and 45 in the data set shown?
VX
25
30
35
40
45
50
25%
O 50%
оооо
O 75%
100%
Answer:
75%
Step-by-step explanation:
Looking at the plot, we can see that the number 27 represents the minimum value while the number 45 represents the upper quartile
Between the minimum value and the upper quartile, there is 75% of all the values on the plot
So, we can conclude that between the numbers 27 and 45, we have 75% of all the data values present.
Kindly note;
There are five points in a box plot
minimum
lower quartile (0-25%)
Median (0-50%)
Upper quartile (0-75%)
Maximum number (0-100%)
if x4 + 1/x4 = 4 find the value of x2+1/x2
Answer:
Hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Answer:
Step-by-step explanation:
I think its 2
What is the explicit formula for this arithmetic sequence?
-10,-17, -24, -31
Answer:
[tex]x_{n} =[/tex] -10 - 3(n-1)
Step-by-step explanation:
The answer is
xn = -10 - 3(n-1)
If G(X) = 3x+1, then G-1(1) is
Answer:
0
Step-by-step explanation:
To find the inverse, or [tex]G^{-1}[/tex] , we must switch G(x) and x, and then make G(x) [tex]G^{-1} (x)[/tex] as we are finding the inverse, and G(x) represents the starting equation.
[tex]x = 3G^{-1} (x)+1\\x -1 = 3G^{-1} (x)\\\\\frac{x-1}{3} = G^{-1} (x)\\[/tex]
The steps used here are that we firt subtracted 1 from both sides, and then divided 3 from both sides.
To find [tex]G^{-1} (1)[/tex], we simply plug 1 into x in the inverse function, so our answer is [tex]\frac{1-1}{3} =0[/tex]
Juanita opens a savings account with $200. Each month, she deposits $25 into her account and does not withdraw any money from it. Write an equation in slope-intercept form of the total amount y in Juanita’s account after x months
Answer:
225 hahahahahahahhahahahhaha
Hahhahahahaha
The equation in slope-intercept form will be; y = 200- 25x
How to find the slope?Slope of a line or straight object is the ratio of how much amount of rise occurs in correspondence to the increment in the run.
Thus, we get:
Slope = rise/ run
We have been given that Juanita opens a savings account with $200.
For Each month, she deposits $25 into her account and does not withdraw any money from it.
Therefore, the equation in slope-intercept form of the total amount y in Juanita’s account after x months is,
y = 200- 25x
Here the slope is - 25.
Hence, the equation in slope-intercept form will be; y = 200- 25x
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Complete the square to rewrite y=x2 - 6x + 2 in vertex form. Then state whether the vertex is a maximum or a minimum and give its coordinates.
A. Maximum at (-3, -7)
B. Maximum at (3,-7)
C. Minimum at (3, -7)
D. Minimum at (-3, -7)
Answer:
C is the Answer
Step-by-step explanation:
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Answer:
C) Minimum at (3,-7)
Step-by-step explanation:
[tex]y=x^2-6x+2[/tex]
[tex]0=x^2-6x+2[/tex]
[tex]0+7=x^2-6x+2+7[/tex]
[tex]7=x^2-6x+9[/tex]
[tex]7=(x-3)^2[/tex]
[tex]0=(x-3)^2-7[/tex]
[tex]y=(x-3)^2-7[/tex]
Because the parabola opens upward, the vertex is the minimum of the function. Therefore, the vertex is the minimum at (3,-7).
What is the area please?
Answer:
104
Step-by-step explanation:
18 for the bottom section, 35 for the middle section, and 51 for the top triangle.
Instructions: Find the slope of the line through the points (-13, 16) and (-13, 12). Make sure to simplify
fractions and enter your answers with a foward slash (i.e. "/"). If the slope is undefined enter "undefined.
Answer: undefined
Step-by-step explanation:
Using the slope formula: (y^2 - y^1)/(x^2 - x^1), we can fill in the points:
(12 - 16)/(-13 - - 13) = -4/0
We can’t have a denominator of zero, so this is undefined.
140 divided by 8960 please I need to know.
The value will be 64 when the number 8960 is divided by 140.
What is division?A procedure of dividing anything into equal halves is called division. It is one of the four fundamental operations in math. Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given numbers are 8960 and 140. To calculate the quotient divide the number 8960 by 140.
The given number can be divided as below:-
140 ) 8960 ( 64
-840
___________
560
-560
___________
000
Therefore, the value will be 64 when the number 8960 is divided by 140.
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f(x) = x2. What is g(x)?
Answer:
Step-by-step explanation:
C
a)ab
b)bh
c)gc
d)fe
help me please
Answer:
Its a
Step-by-step explanation:
Answer:
Letter C) bh
Step-by-step explanation:
Segment bh is straight across cd and parallel line extend in the same direction but never intersect.
Hope this helps
Put these numbers in order from greatest to least.
3/10, 0.6 and 0.7