Answer:
[tex]\huge\boxed{a = b-5}[/tex]
Step-by-step explanation:
Let the number be a
So, the given condition is:
a = b-5
Answer:
[tex]\Huge \boxed{a=b-5}[/tex]
Step-by-step explanation:
Let the number be [tex]a[/tex].
[tex]a[/tex] is equal to 5 less than [tex]b[/tex].
5 is subtracted from [tex]b[/tex].
Determine the standard form of the equation of the line that passes through (-8, -6) and (-4, 9)
Answer:
15/4 x-y=-24
Step-by-step explanation:
the standard form is ax+by=c
two points (x1,x2) , (y2,y1)
x1=-8 x2=-6
y1=-4 y2=9
find slope m: y2-y1/x2-x1
m=9-(-6)/-4-(-8)
m=15/4
find b: take any point(-8,-6)
y=mx+b
-6=15/4 (-8)+b
-6=-30+b
b=-6+30
b=24
y=15/4 x+24
standard form: y-15/4x=24
OR : 15/4 x-y=-24
PLEASE HELP ILL LOVE U FOREVER
In Exercise 4, find the surface area of the solid
formed by the net.
Round the approximate value however you need to
Units are in square centimeters.
===================================================
Work Shown:
You have the 160 portions correct since 20*8 = 160.
The other pieces are equilateral triangles, in which we use the formula
[tex]A = \frac{\sqrt{3}}{4}x^2[/tex]
where x is the side length of the triangle. Plug in x = 8 to get
[tex]A = \frac{\sqrt{3}}{4}x^2\\\\A = \frac{\sqrt{3}}{4}8^2\\\\A = \sqrt{3}*\frac{1}{4}*64\\\\A = \sqrt{3}*16\\\\A = 16\sqrt{3}\\\\[/tex]
That's the exact area of one triangle, but we have two of them. Double the result to get [tex]2*16*\sqrt{3} = 32\sqrt{3}[/tex]
The total surface area is the sum of all the smaller areas
[tex]160+160+160+32\sqrt{3} = 480+32\sqrt{3}[/tex]
--------------------------
The exact surface area is [tex]480+32\sqrt{3}[/tex] square cm.
Using a calculator, you should get [tex]480+32\sqrt{3} \approx 535.425625842204[/tex]
Round this however you need to.
For a one-to-one function, y = f(x), then x = f-1(y). True or false. Explain your answer.
Answer:
True
Step-by-step explanation:
For one-to-one function, we have for all x₁ and x₂, where x₁ ≠ x₂, then, f(x₁) ≠ f(x₂)
Which gives;
f
Where f(x₁) = y₁, the result of the inverse of the f⁻¹(y₁) = x₁
By definition the inverse of a one-to-one function, f⁻¹ is a distinctive function whose domain is given by f⁻¹(f⁻¹(x)) = x for the values of x in f
Therefore, for one-to-one functions, f⁻¹(f⁻¹(x₁)) = x₁
Where f⁻¹(x₁) = y₁, is the inverse or reverse of a function f(x₁), therefore, we have;
f⁻¹(y₁) = x₁
Which proves the statement that y = f(x) then x= f⁻¹(y).
How can I divide decimals and fin the correct quotient and remainder.?
Answer:
Add a zero to the remainder and a decimal point in the quotient. Then we can continue to divide decimals. We divide 64 by 5 and obtain 12 as a quotient and 4 as a remainder. Since the remainder is not zero, we can continue to get a decimal answer by adding a decimal point in the quotient and a zero to the remainder
Step-by-step explanation:
When solving the system of equations by graphing, what is the solution of 3x + 2y = 2 and 2x – y=6?
A (-2,2)
B. (2.-2)
C. (-2,-2)
D. (2, 2)
Answer:
answer B: (2,-2)
Step-by-step explanation:
First, write the equations on top of each other:
[tex]3x+2y=2\\2x-y=6[/tex]
Then, multiply the the second equation by 2 so that we can use elimination of the y-variable:
[tex]3x+2y=2\\2(2x-y)=2(6)\\\\3x+2y=2\\4x-2y=12[/tex]
Next, use elimination to find the value of "x":
[tex]3x+2y=2\\+(4x-2y=12)\\\\7x+0=14\\7x=14\\\frac{7x}{7}=\frac{14}{7}\\x=2[/tex]
So, your x-value is 2.
Now, substitute your x-value into one of your equations, let's take the second equation, 2x-y=6:
[tex]2x-y=6\\2(2)-y=6\\4-y=6\\4-4-y=6-4\\-y=2\\\frac{-y}{1}=\frac{2}{-1}\\y=-2[/tex]
Your y-value is -2.
With all your information gathered, you find that the solution to this system of equation is (2,-2).
If the cost of fencing a rectangular garden per meter is rupees 5 . Find the amount needed to do the fencing of the garden with length 400 m and breadth 150 m .
Answer:
6500 rupees
Step-by-step explanation:
We are given a rectangular garden is the dimensions of:
Length = 400 m
Breadth = 150 m
Perimeter of a rectangle = 2(L + B)
= 2(400 + 150)
= 2(650)
= 1300m
We are told that the cost of fencing a rectangular garden per meter is rupees 5
1 m = 5 rupees
1300m =
Hence, the cost to fence the entire garden = 1300 × 5 rupees
= 6500rupees
How many solutions are there for the absolute value equation, |16 + t| = – 3
Answer:
no solutions
Step-by-step explanation:
|16 + t| = – 3
Absolute values are greater than or equal to zero
They cannot be negative so there are no solutions
Answer:
no solutions
Step-by-step explanation:
|16 + t| = – 3
Absolute values are greater than or equal to zero
They cannot be negative so there are no solutions
Solve C = AB + D for B
Answer:
C-D/A=B
C minus D all of that over A = B
the vertex form of a function is g(x)=(x-3)^2+9
Answer:
(3,9) is the answer.
Step-by-step explanation:
Form a group of 17 women and 11 men, a researcher wants to randomly
select 5 women and 5 men for a study. In how many ways can the study
group be selected.
Answer:
17C5+11C5
Step-by-step explanation:
Well there are 17 and chooses 5 that's 17C5
there are 11 men abd chooses 5 that's 11C5
so add them up
17C5+11C5
The combination helps us to know the number of ways an object can be selected without a particular manner. The number of ways in which 5 men and 5 women can be selected is 2,858,856.
What is Permutation and Combination?Permutation helps us to know the number of ways an object can be arranged in a particular manner. A permutation is denoted by 'P'.
The combination helps us to know the number of ways an object can be selected without a particular manner. A combination is denoted by 'C'.
[tex]^nC_r = \dfrac{n!}{(n-r)!r!}\ , \ \ ^nP_r = \dfrac{n!}{(n-r)!}[/tex]
where,
n is the number of choices available,
r is the choices to be made.
Given that from a group of 17 women and 11 men, a researcher wants to randomly select 5 women and 5 men for a study.
Now, the number of ways for selection can be written as,
Number of ways in which men can be selected = ¹¹C₅ = 462
Number of ways in which women can be selected = ¹⁷C₅ = 6188
Further, the number of ways for selection can be written as,
Number of ways = Number of ways in which men can be selected × Number of ways in which women can be selected
Number of ways = 462 × 6188
Number of ways = 2,858,856
Hence, the number of ways in which 5 men and 5 women can be selected is 2,858,856.
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\large 6\cdot\frac{6+2^2}{6+2-6}
Answer:
30Step-by-step explanation:
Given the expression [tex]\large 6\cdot\frac{6+2^2}{6+2-6}[/tex], on simplification we have;
[tex]= \large 6\cdot\frac{6+2^2}{6+2-6}\\\\= \large 6\cdot\frac{6+4}{8-6}\\\\= \large 6\cdot\frac{10}{2}\\\\= 6* 5\\\\= 30[/tex]
Hence the equivalent value of the expression is 30
A Food Marketing Institute found that 31% of households spend more than $125 a week on groceries. Assume the population proportion is 0.31 and a simple random sample of 373 households is selected from the population. What is the probability that the sample proportion of households spending more than $125 a week is less than 0.33
Answer:
0.7967
Step-by-step explanation:
We know that population proportion p=0.31.
We have to find P(phat<0.33).
Mean=p=0.31
[tex]Standard deviation=\sqrt{\frac{p(1-p)}{n} }[/tex]
[tex]Standard deviation=\sqrt{\frac{0.31(0.69)}{373} }[/tex]
standard deviation=0.024 (rounded to three decimal places)
[tex]P(phat<0.33)=P(Z<\frac{0.33-0.31}{0.024})[/tex]
[tex]P(phat<0.33)=P(Z<\frac{0.02}{0.024})[/tex]
[tex]P(phat<0.33)=P(Z<0.83)[/tex]
[tex]P(phat<0.33)=0.5+0.2967[/tex]
[tex]P(phat<0.33)=0.7967[/tex]
Thus, the required probability that sample proportion of households spending more than $125 a week is less than 0.33 is 79.67%
Simplify 7^ -5/6 x 7^-7/6
Answer:
1/49
Step-by-step explanation:
If you add this is the calculator, I think it will come out.
━━━━━━━☆☆━━━━━━━
▹ Answer
1/49
▹ Step-by-Step Explanation
7^-5/6 * 7^-7/6
= 1/7²
= 1/49
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Find the range of f(x) = –x + 4 for the domain {–3, –2, –1, 1}.
Answer:
[tex]\boxed{ \{7, 6, 5, 3 \} }[/tex]
Step-by-step explanation:
The domain is all possible values for x.
The range is all possible values for f(x) or y.
The domain given is {-3, -2, -1, 1}.
Plug x as {-3, -2, -1, 1} and find the f(x) or y values.
[tex]f(-3)=-(-3)+4=7\\f(-2)=-(-2)+4=6\\f(-1)=-(-1)+4=5\\f(1)=-(1)+4=3[/tex]
The range is {7, 6, 5, 3}, when the domain is {-3, -2, -1, 1}.
This table represents a quadratic function.
y
x
0
14
1
10.5
2
8
3
6.5
4
5
6.5
What is the value of a in the function's equation?
A.2
B.1/2
C.-1/2
D.1
Answer:
B. 1/2
Step-by-step explanation:
y = ax^2 + bx + c
14 = a(0)^2 + b(0) + c
c = 14
10.5 = a(1)^2 + b(1) + 14
10.5 = a + b + 14 ____(i)
8 = a(2)^2 + b(2) + 14
8 = 4a + 2b + 14
4 = 2a + b + 7 ___ (ii)
i - ii
10.5 - 4 = -a + 7
6.5 = -a + 7
a = 7- 6.5
a = 0.5
Value of a in the quadratic function is 0.5
What is Quadratic function?In algebra, a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic, is a polynomial function with one or more variables in which the highest-degree term is of the second degree
Given,
Quadratic function
y = [tex]ax^{2}+bx+c[/tex]
Consider values in the table x= 0 and y =14
[tex]14=a(0)^{2}+b(0)+c\\ c=14[/tex]
Consider x=1 and y = 10.5
[tex]10.5=a(1^{2})+b(1)+c\\ a+b=10.5-14\\a+b=-3.5[/tex]
Consider x=2 and y =8
[tex]8=a(2^{2})+b(2)+c\\ a\\8=4a+2b+14\\4a+2b=-6\\2a+b=-3[/tex]
Subtract a + b= -3.5 from 2a + b= -3
a=-3--3.5=0.5
Hence, the Value of a in the quadratic function is 0.5
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Prime factors of 2601
Answer:
The prime factors are: 3 x 3 x 17 x 17. or also written as { 3, 3, 17, 17 }
Step-by-step explanation:
Person above agrees
1782/3 = and why the answer
Answer:
594
Step-by-step explanation:
1782/3 = 594.
To if the answer is correct, you do this:
594 × 3 = 1782.
Brad invests $3700 in an account paying 3% compounded monthly. How much is in the account after 8 months?
Answer:
Amount after 8 month (A) = $3775 (Approx)
Step-by-step explanation:
Given:
Amount invested (P) = $3,700
Rate of interest (r) = 3% = 0.03 / 12 = 0.0025 monthly
Number of month (n) = 8 month
Find:
Amount after 8 month (A)
Computation:
[tex]A=P(1+r)^n\\\\ A=3700(1+0.0025)^8\\\\A=3700(1.02017588)\\\\ A = 3774.650676[/tex]
Amount after 8 month (A) = $3775 (Approx)
What is g(x)?
Please help
Answer:
g(x) = -x²
Step-by-step explanation:
Answer:
-x^2
Step-by-step explanation:
The parent equation of a parabola is x^2.
Because the parabola is upside down, the equation becomes negative.
Plz Help I Will Mark Brainliest If Right!!!!!!!!!!!!!!!!!!!!!!!
Determine the domain of the function.
f as a function of x is equal to the square root of one minus x.
A). All real numbers
B). x > 1
C). x ≤ 1
D). All real numbers except 1
Hey There!!~
Your best answer choice is B). x > 1.
Good Luck!!
PLEASE HELP!!!
10. Write the formula of the function f(x) whose graph is shown.
A
f(x) = 4 - 4
х
B
f(x)=
1
= - +4
X
с
f(x) = 24
D
1
f(x) =
X +4
Step-by-step explanation:
c
) What should be subtracted from -5/3 to get 5/6?
Answer:
[tex]-\frac{5}{2}[/tex]
Step-by-step explanation:
Step 1: Put this into an equation
[tex]-\frac{5}{3} - x = \frac{5}{6}[/tex]
Step 2: Solve for x
[tex]-x = \frac{5}{6} + \frac{5}{3}[/tex]
[tex]-x = \frac{5}{2}[/tex]
[tex]x =- \frac{5}{2}[/tex]
Therefore you need to subtract [tex]-\frac{5}{2}[/tex] from [tex]-\frac{5}{3}[/tex] to get [tex]\frac{5}{6}[/tex]
Answer:i don’t know
Step-by-step explanation:I’m sorry dude I have no idea I tried doing it in the browser and I could not find an answer sorry
Please Help! Select the correct systems of equations. Which systems of equations intersect at point A in this graph?
Answer:
The systems of equation satisfying the problem are
Y= 4x+9
Y= -3x-5
Y= 2x+5.
Y= 5x+11
Y= 3x+7
Y= -x-1
Step-by-step explanation:
From the graph in the figure
The point A ; x= -2,y=1
So the equations that will interest at point A are the equations that both pass through the point A.
To know the equations that pass through the point A we solve them simultaneously.
For
Y = 10x-1
Y= -3x-5
0= 13x +4
X= -4/13..... definitely not this one
For
Y= 4x+9
Y= -3x-5
0= 7x +14
-14= 7x
-2= x
Substituting the value of x into Y= 4x+9
Y= 4x+9
Y= 4(-2)+9
Y = -8+9
Y= 1
So it's definitely this one
Let's check to know if there is any more
Y = 2x+5
Y= x-1
0= x +6
Definitely not this one
For
Y= 2x+5.
Y= 5x+11
0 = 3x+6
-6= 3x
-2= x
Y= 2x+5.
Y=2(-2)+5
Y= 1
Definitely this one
For
Y= 3x+7
Y= -x-1
0 = 4x +8
-8= 4x
-2= x
Y= -x-1
Y= -(-2)-1
Y= +2-1
Y= 1
Definitely this one too
The correct options are system of equations shown by options (B)[tex]Y= 4x+9 \ and \ y = -3x-5[/tex]
(D) [tex]y= 2x+5 and \ y= 5x+11[/tex]
and (E) [tex]y= 3x+7 \ and\ y= -x-1[/tex].
Given, Coordinates of point A is (-2,1).
We have to find which systems of equations intersect at point A in this graph.
The system of equation which satisfy the point A(-2,1) will intersect at point A.
On putting the value of x=-2 and y= 1, in 1st pair
the equation doesn't satisfy.
similarly checking all the options, we find that the below system equations intersect at point A.
[tex]Y= 4x+9 \ and y = -3x-5 \\y= 2x+5 and \ y= 5x+11\\y= 3x+7 \ and y= -x-1[/tex]
Hence the correct options are system of equations shown by options (B), (D) and (E).
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how many are 1 raised to 2 ???
Answer:
1
Step-by-step explanation:
1^2
Means 1 multiplied by itself 2 times
1*1
1
The cosst of 4 1 /4 kg of sugar is £68 .find the coast o 1 kg
Step-by-step explanation:
Hi, there!!
Here according to the question we must find the cost of 1 kg sugar.
Given that:
17/4 kg of sugar cost £68.
then 1 kg sugar costs,
=[tex] \frac{68}{ \frac{17}{4} } [/tex]
after reciprocal we get,
= £68×4/17
=£16
The answer would come £16.
Therefore, The cost of 1 kg sugar is £. 16.
Hope it helps....
Answer:
£ 16
Step-by-step explanation:
Cost of 4 1/4 kg sugar = £ 68
4 1/4 = 17/4
Cost of 17/4 kg of sugar = 68
Cost of 1 kg of sugar =68 ÷ (17/4)
[tex]= 68* \frac{4}{17}\\\\=4*4\\[/tex]
= £ 16
What is the difference between sin^-1 and sin?
Answer:
Step-by-step explanation:
sin of angle x is the trig ratio sine of x.
sin-1 x is the angle whose sine is x.
sin-1 x can also be written as arcsin x.
a plank is 2m long and30cm wide has volume of 0.018m. what is its thickness
Which of the following statements best describes the value of the expression 9x – 3 when x = 7?A.The result is a fraction.B.The result is a prime number.C.The result is a composite number.D.The result is a whole number that is neither prime nor composite.
pz help
Answer: C.The result is a composite number.
Step-by-step explanation:
A prime number has only 2 factors ( '1' and itself). For example : 2,3,5,..
A composite number has more than 2 factors. For example : 4, 6, 8...
The given expression: [tex]9x-3[/tex]
When x= 7 , the value of the expression will be
[tex]9(7)-3= 63-3=60[/tex]
Since 60 is a composite number [ it is divisible by 2,3,4,5,6,10,12,30,60]
Hence, the correct statement is C.The result is a composite number.
Answer:
C. The result is a composite number.
Sorry! I'm in a rush but I hope you do well on your quiz! Stay brainly :)
The table shows ordered pairs of the function. What is the value of y when? A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 1, 1, 4, 8, 10. The second column is labeled y with entries 14, 10, 6, 0, question mark, negative 12. –20 –8 8 48
I need this quick;-;
Answer:
-8
Step-by-step explanation:
i checked it out on ... and it was negative eight
Answer:
B: -8
Step-by-step explanation:
edg2021
Just plug 8 into the equation.
Over what axis was the square reflected in the first example?
The x-axis
The y-axis
Answer:
The x-axis!
Step-by-step explanation:
