Answer:
Option A
Step-by-step explanation:
Let us first consider the equation at hand. We are given that this equation is as follows, five less than three times a number equals four more than eight times the numbers. Convert this into a numerical format;
[tex]3x - 5 = 4 + 8x[/tex]
where x = " the number "
[tex]3x - 5 = 4 + 8x,\\- 5 = 4 + 5x,\\- 9 = 5x,\\\\x = - 9 / 5 \\\\Solution - Option A[/tex]
If you wish, take a look at this verbal explanation. To solve the equation 3x - 5 = 4 + 8x, one would first subtract 3x on either side of the equation, resulting in the simplified equation - 5 = 4 + 5x. Subtracting - 4 from either side, - 5 - 4 = - 9, and so we receive - 9 = 5x. Dividing 5 on either side, x = - 9 / 5, Option A.
Which expression below gives the average rate of change of the function g(x) = -x^2 - 4x on the interval 6 ≤ x ≤ 8 ?
Answer:
1st Option
Step-by-step explanation:
Average rate of change formula: [tex]\frac{f(a) - f(b)}{a-b}[/tex]
Simply plug in 8 as a and 6 as b.
Answer:
A.
Step-by-step explanation:
Δy /Δx = (y2 - y1)/(x2 - x1) = [g(x2) - g(x1)]/(x2 - x1)
[g(x2) - g(x1)]/(x2 - x1) =[g(8) - g(6)]/(8 - 6) =[tex]\frac{[-8^{2}-4(8)]-[-6^{2}-4(6)]}{8-6}[/tex]
please help me with this question....
Answer:
107
Step-by-step explanation:
Median is the middle most no.
=> Here, Median are two numbers, 106 and 108 So, we'll find the mean of it to get the median
=> Median = [tex]\frac{106+108}{2}[/tex]
=> Median = 107
20 points!!!! match the justification to each statement in the solution of x + 12.7 =-25.2.
Answer: x + 12.7 = -25.2 ✓given
x + 12.7 -12.7 = -25..2 -12.7 ✓ Subtraction property of equality
x + 0 = -37.9 ✓ Additive inverse and simplification
x = -37.9 ✓ Identity property
Step-by-step explanation: Put the steps in order. Then it makes some sense. Why is the step "legit"?
If $500 is shared in the ratio 2:3:9 then the difference between the largest and the smallest shares is
Answer:
$250
Step-by-step explanation:
Total parts:
2+3+9 = 14
500/14 = 250/7
2×250/7 : 3×250/7 : 9×250/7
500/7 : 750/7 : 2250/7
The largest share is 2250/7, the smallest share is 500/7.
Find the difference.
2250/7 - 500/7 = 250
Answer:
$250
Step-by-step explanation:
2x+3x+9x= $500
9x-2x= 7x=?
14x= $500
7x= $500/2= $250
Use a= √a b= √5 c= √10
to work out the value of ac/b
Give your answer in its simplest form.
Answer:
a = √a b = √5 c = √10
ac/b = (√a)(√10)/√5
= √ 10 × a /√5
= √10a / √5
Rationalize the surd
√10a ×√5/(√5)²
= √50a /5
= 5√2a/ 5
= √2a
The final answer is √2a
Hope this helps
2 less than a number times 6
The probability that Paul wins in a raffle is given by the expression
p.
Write down an expression for the probability that Paul does not win.
Answer:
[tex]1 - p[/tex]
Step-by-step explanation:
Consider the [tex](\Omega, \mathcal{F}, \mathbb{P})[/tex] where [tex]\mathcal{F}[/tex] is sigma algebra and [tex]\mathbb{P}[/tex] is probabilistic measure. Denote [tex]A \subset \Omega[/tex] where Paul wins. By additivity of measure we know that
[tex]\mathbb{P}(A) + \mathbb{P}(\Omega \setminus A) = \mathbb{P}(\Omega) = 1[/tex].
So
[tex]\mathbb{P}(\Omega \setminus A) = 1 - \mathbb{P}(A) = 1 - p[/tex].
But [tex]\Omega \setminus A[/tex] is exactly the set where Paul does not win. Q.E.D.
What is the approximate area of a circle show below?
The answer of this is C: 43
Answer:
C)43ft
Step-by-step explanation:
Area= pi*r(squared)
Pi*3.7(squared)=43.00
So answer=43pi(squared)
This is the question that I need help with.
Answer: 16 + 55 = 71cm^2
Step-by-step explanation:
You want to divide this figure into 2 rectangles. There are two ways to do this, but either one will give you the same answer.
First One:
It has the dimensions of 5 and 11. 5 x 11 = 55cm^2
Second One:
This one wont be straightforward like the first one. You need to find these sides manually.
7 + x = 11
x = 4
Then,
9 - x = 5
x = 4
4 x 4 = 16cm^2
FOR BRAINLIEST ANSWER, SOLVE APPLICATION USING ALGEBRA. TYPE THE EQUATION OR INEQUALITY AND PLEASE SHOW WORK. a) If the sales tax on a purchase came to $48, what was the original price (before tax) and what is the final price (after tax)? (Use 6% for the sales tax rate).
Step-by-step explanation:
before tax it would be 6/100×48=$2.88
so therefore before tax = $48-2.88=$45.12
final price after tax =$48+2.88=$50.88
I NEED HELP ASAP Which equation is equivalent to: −10r−6=115
A. 10r=−115+6
B. −10r=115+6
C. −10r=115−6
D. 10r=115−6
anyone get this ? (geometry)
Urgent plz please please❤️
Answer:
see below
Step-by-step explanation:
The domain is the possible x values
For the top graph x goes from 0 to 240
0 ≤x≤240
For the bottom graph the domain is from -3 but not including -3 because of the open circle to 6
-3 < x ≤6
(-3,6]
The range is the possible y values
The lowest value of y is -5 and the largest is 7
-5 ≤y≤7
[-5,7]
A principal of $2000 is placed in a savings account at 3% per annum compounded annually. How much is in the account after one year, two years and three years?
Answer:
Step-by-step explanation:
After one year
A=p(1+r/n)^nt
=2000(1+0.03/12)^12*1
=2000(1+0.0025)^12
=2000(1.0025)^12
=2000(1.0304)
=$2060.8
After two-years
A=p(1+r/n)^nt
=2060.8(1+0.03/12)^12*2
=2060.8(1+0.0025)^24
=2060.8(1.0025)^24
=2060.8(1.0618)
=$2188.157
After three years
A=p(1+r/n)^nt
=2188.157(1+0.03/12)^12*3
=2188.157(1+0.0025)^36
=2188.157(1.0025)^36
=2188.157(1.0941)
=$2394.063
Amount in account after one year, two and three years are respectively $2,060 , $2,121.8 and $2,185.45
Given:
Principal amount = $2,000
Rate of interest = 3% = 0.03
Amount in account after one year
A = P(1+r)ⁿ
A = 2,000(1+0.03)¹
A = 2,000(1.03)¹
A = 2,000(1.03)
A = $2,060
Amount in account after two year
A = P(1+r)ⁿ
A = 2,000(1+0.03)²
A = 2,000(1.03)²
A = 2,000(1.0609)
A = $2,121.8
Amount in account after three year
A = P(1+r)ⁿ
A = 2,000(1+0.03)³
A = 2,000(1.03)³
A = 2,000(1.092727)
A = $2,185.45
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please help you don’t need to explain this just tell me the right answer
Answer:the SAS similarity theorem
Step-by-step explanation:
PLEASE HELP WITH BOTH PARTS!!!!!!!! WILL BE MARKED BRAINLIEST!
Answer:
Part A ) Option A, Option C, Option E
Part B ) 1200 cm^2
Step-by-step explanation:
The area of a kite can be identified through 1 / 2 of the multiplication of each diagonal. The first diagonal is equivalent to the addition of 50 cm and 10 cm, while the second is of length 20 cm + 20 cm.
[tex]1 / 2 * ( 50 + 10 ) * ( 20 + 20 ),\\1 / 2 * ( 60 ) * ( 40 ),\\( 30 ) * ( 40 ),\\\\Area of Kite = 1200 square cm[/tex]
Consider the first option. If we take a look at the bit 2 * ( 1 / 2 * 20 * 50 ) the 2 and 1 /2 cancel each other out, leaving you with 20 * 50 = 1000 . Respectively in the expression 2 * ( 1 / 2 * 20 * 10 ) the 2 and 1 / 2 cancel each other out, leaving you with 20 * 10 = 200;
[tex]1000 + 200 = 1200 square cm,\\Option A - Correct![/tex]
The second option considers the expression 2 * ( 1 / 2 * 20 * 60 ). Again, the 2 and 1 / 2 cancel each other out, leaving you with 20 * 60;
[tex]20 * 60 = 1200 square cm,\\Option B - Correct![/tex]
Option C is a similar version of option a, besides the fact that the 1 / 2 doesn't exist. Thus, Option C is incorrect!
Option D is a similar version of option a as well, but as the 2 doesn't exist, it is incorrect!
This last option, option E is taken as 1 / 2 of the multiplication of the diagonals, and thus is correct!
[tex]1 / 2 * ( 40 * 60 ),\\1 / 2 * ( 2400 ),\\1200 square cm\\\\Correct![/tex]
Hope that helps!
What is the largest integer $n$ such that $7^n$ divides $1000!$ ?
Answer:
The correct answer is
n = 3038
Step-by-step explanation:
Where we have;
We note that 1000! = An even number
Since Even × Even = even
Even × Odd = Even
Also, 7ⁿ is an Odd number since odd × odd = odd
Therefore 7ⁿ will divide 1000! with some fractions as follows;
1000! divided by 7ⁿ
When 7ⁿ = 1000!
log(7ⁿ) = log(1000!) = log(4.02×10²⁵⁶⁷)
n·log(7) = 2567.604
n = 2567.604/(log(7)) = 3038.23
Therefore, the largest integer n such that 7ⁿ divides 1000! = 3038
Which gives, 1000! ÷ 7³⁰³⁸ = 1.5733.
2/3y + 15 = 9
What are the steps for this question
Answer:
see below
Step-by-step explanation:
2/3y + 15 = 9
Subtract 15 from each side
2/3y + 15-15 = 9-15
2/3y = -6
Multiply each side by 3/2 to isolate y
3/2 * 2/3y = -6 *3/2
y = -9
Answer:
y = - 9
Step-by-step explanation:
2/3y + 15 = 9
Subtract 15 on both sides.
2/3y = 9 - 15
2/3y = - 6
Multiply both sides by 3/2.
y = - 6 × 3/2
y = -18/2
y = -9
What are TWO equivalent expressions for 2(3j+ 5 + 6j) Remember I need TWO equivalent expressions.
Answer:
Hope it helps:) 18j+10
Step-by-step explanation:
(2)(3j+5+6j)
(2)(3j)+(2)(5)+(2)(6j)
6j+10+12j
18j+10
Need help ASAP please
Answer:
-6,6
Step-by-step explanation:
x^2=36
6*6=36
-6*-6=36
Line A passes through the points (-8, 5) and (-5, 4). Line B passes through the points (0, 1) and (4, -1). Which of the following describes the relationship between line A an line B?
.
Lines A and B are parallel, because they have the same slope
.
Lines A and B are parallel, because they have opposite reciprocal slopes.
.
Lines A and B are perpendicular, because they have opposite reciprocal slopes.
.
Lines A and B intersect, because their slopes have no relationship.
Answer:
Last option is the correct choice.
Step-by-step explanation:
Slope of line A = [tex]m=\frac{4-5}{-5-\left(-8\right)}=-\frac{1}{3}[/tex]
Slope of line B = [tex]m=\frac{-1-1}{4-0}=-\frac{1}{2}[/tex]
Lines A and B intersect, because their slopes have no relationship.
Best Regards!
Lines A and Line B intersect, because their slopes have no relationship.
What is slope of line?Slope of line is defined as the angle of line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)
Given,
Line A passes through the points (-8, 5) and (-5, 4)
Let
x₁ = -8, y₁ = 5
x₂ = -5, y₂ = 4
∵ Slope m = (y₂ - y₁)/(x₂ -x₁ )
Substitute values in formula
m₁ = (4 - 5)/(-5 - (-8))
m₁ = (4 - 5)/(-5 + 8)
m₁ = -1/3
So, the slope of the line A is -1/3
Line B passes through the points (0, 1) and (4, -1).
m₂ = (-1 - 1)/(4 - 0)
m₂ = (-2)/(4)
m₂ = -1/2
So, the slope of the line B is -1/2
Hence, Lines A and Line B intersect, because their slopes have no relationship.
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ASAp !!!!!!!!!!! Brenton’s weekly pay, P(h) , in dollars, is a function of the number of hours he works, h. He gets paid $20 per hour for the first 40 hours he works in a week. For any hours above that, he is paid overtime at $30 per hour. He is not permitted to work more than 60 hours in a week. Which set describes the domain of P(h)? {h| 0 ≤ h ≤ 40} {h| 0 ≤ h ≤ 60} {P(h)| 0 ≤ P(h) ≤ 1,400} {P(h)| 0 ≤ P(h) ≤ 1,800
The set the describes the domain of P(h) is (b) {h| 0 ≤ h ≤ 60}
How to determine the domain?In this case, the domain represents the set of hours he is permitted to work
From the question, we understand that he cannot work more than 60 hours
This means that, the least number of hours to work is 0, and the highest is 60
So, the domain is 0 to 60
When represented properly, the domain of P(h) is (b) {h| 0 ≤ h ≤ 60}
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Help idk how to do this
Answer: 58°
Step-by-step explanation:
They say the triangles are equal. And they give us more information for the triangle on the right.
∠E = ∠B
We know ∠C and ∠D, so you should add them all up to equal 180. (degree of a triangle)
74 + 48 + ∠E = 180
122 + ∠E = 180
∠E = 58
So therefore ∠B = 58
Answer:
x = 29
Step-by-step explanation:
Focus on ΔDEC first. We know that two of its angles are ∠C = 48° and ∠D = 74°.
All of a triangle's angles must add up to 180° by the Triangle Sum Theorem. 48° + 74° = 122°. 180° - 122° is 58°. So ∠E is 58°.
Because the triangles are congruent, ∠E corresponds to ∠B.
Because ∠B is "2x," divide 58° by 2. 58° ÷ 2 = 29°. 29° × 2 = 58°, so this checks out.
I hope this helps!!
if f(x)=x-7 and g(x)=x^3, find G(f(x))
Answer:
[tex](f*g)(x) = x^4-7x^3[/tex]
Step-by-step explanation:
[tex]f(x) = x-7\\g(x) = x^3[/tex]
Multiplying both would make
[tex](f*g)(x) = x^4-7x^3[/tex]
Divide up the number 480 in a 3:5 ratio.
Step-by-step explanation:
Hers your answer friend
Answer:
180 and 300
Step-by-step explanation:
We want to divide up the number 480 in a 3:5 ratio.
=> We should turn 480 into 3+5=8 portions, each portion is 480/8 = 60.
=> 480 could be divided into 2 smaller numbers that satisfy 3:5 ratio:
60x3=180 and 60x5 = 300.
Check:
180:300 ratio <=> 3:5 ratio (valid)
Hope this helps!
Which statement is NOT true?
Answer:
A, a rhombus has all the properties of a square.
Step-by-step explanation:
Not all quadrilaterals will be the same
Which of the following is false about investing with borrowed money? (5 points)
Brainliest??? Which inequality is represented by this graph.
Answer:
Step-by-step explanation:
D is the answer
What is m
E
45°
125°/F
80°
A
45°
D
125°
135°
B
Answer:
45° is the answer as to me check it ok
*I WILL MARK YOU BRAINLIEST!!!!!*
Answer:
C
Step-by-step explanation:
you were told to draw a graph
f(x) or y is 4 when x less than or equal to 3. so you must draw straight horizontal line at y = 4 start from x = 3 to the left
(fx) or y is 2 when x bigger than 3. so, 3 is not included. so you must draw straight horizontal line at y = 2 start from x = 3 to the right with empty circle first (it means 3 not included)