Answer:
speed while going = 42, while returning home = 28
Step-by-step explanation:
let his speed on the way to his parents house is (x)
then his speed while returning is x - 14
Time = Distance / speed
528 / x + 528 / x -14 = 22
multiplying the denominator ...
528x + 528x +7392 = 22x^2 +14x
1056x + 7392 = 22x^2 + 308x
0 = 22x^2 -748x -7392
"dividing by 22"
0 = x^2 -34x-336
0 = (x+8) (x-42)
x must be 42
finally jon's speed while back home is 42 - 14 = 28
. Francisco states the following: When two or more factors are multiplied and they have the same sign, the product is positive. List two examples that support Francisco's statement. Show their products.
Your answer
6B. List an example that refutes Fracisco's statement. Show its product. Explain why it refutes his statement.
Your answer
6C. How could Francisco rewrite his statement so it is always true?
pls Help me
Answer:
6A) i) 5 and 3 product is 15
ii) (-5) and (-3) product is 15
6B. The product of 5·i and 3·i is -15
6C. When two or more real factors are multiplied and they have the same sign, the product is positive
Step-by-step explanation:
6A. To examples that support Francisco's statement are;
Given the factors that have the same sign;
i) 5 and 3 both positive
ii) (-5) and (-3) both negative
The products of each of the two factors are therefore;
5 × 3 = 15 (Positive product)
(-5) × (-3) = 15 (Positive product)
6B. An example that refutes Francisco's claim is the product of two imaginary numbers 5·i and 3·i where i = √(-1) as follows;
5·i × 3·i = 15·i² = 15×i×i = 15 × √(-1) ×√(-1) = 15×(√(-1))² = 15 × (-1) = -15
Therefore;
5·i × 3·i = -15 which is a negative number and therefore refutes Francisco's claim
6C. Francisco could rewrite his statement as follows;
When two or more real factors are multiplied and they have the same sign, the product is positive
To make it always true.
Please write TWO expressions that are equivalent to 2(9j + 5). REMEMBER I NEED TWO EXPRESSIONS. ANSWER GETS BRANLIEST, 5IVE STARS, TEN POINTS, AND A THANKS.
Answer:
(2 × 9j) + (2 × 5) AND 18j + 10
Step-by-step explanation:
=> 2(9j+5)
Applying distributive property to expand the brackets
=> (2 × 9j) + (2 × 5) ← 1st Expression
=> 18j + 10 ← 2nd Expression
Arc CD is One-fourth of the circumference of a circle. What is the radian measure of the central angle?
StartFraction pi Over 4 EndFraction radians
StartFraction pi Over 2 EndFraction radians
2π radians
4π radians
Answer:
[tex]\frac{\pi }{2}[/tex]
Step-by-step explanation:
Since the arc is [tex]\frac{1}{4}[/tex] of the circumference, then
central angle = [tex]\frac{1}{4}[/tex] × 2π ← angle in whole circle
central angle = [tex]\frac{2\pi }{4}[/tex] = [tex]\frac{\pi }{2}[/tex]
Answer:
B. [tex]\frac{\pi }{2}[/tex] radians
Step-by-step explanation:
Edge 2021
2) The marked price of a laptop is Sh.47500. Mimo bought the laptop after the shopkeeper allowed her a
discount of 5°. If the shopkeeper made a profit of 25%, calculate the price at which the shopkeeper
bought the laptop from the manufacturer.
(3 marks)
−6(x+7)=−4x−2 how many solutions
Answer: There is one solution, -20
Step-by-step explanation:
[tex]-6(x+7)=-4x-2\\\\Distribute\\\\-6x-42=-4x-2\\\\Add(6x)\\\\-42=2x-2\\\\Add(2)\\\\-40=2x\\\\x=-20[/tex]
There is one solution, -20
Hope it helps <3
Answer:
Only one solutionStep-by-step explanation:
Solution,
[tex] - 6(x + 7) = - 4x - 2[/tex]
Distribute -6 through the parentheses
[tex] - 6x - 42 = - 4x - 2[/tex]
Move variable to L.H.S and change its sign
[tex] - 6x + 4x - 42 = - 2[/tex]
Move constant to R.H.S and change its sign
[tex] - 6x + 4x = - 2 + 42[/tex]
Collect like terms
[tex] - 2x = - 2 + 42[/tex]
Calculate the sum
[tex] - 2 x = 40[/tex]
Divide both sides of the equation by - 2
[tex] \frac{ - 2x}{ - 2} = \frac{40}{ - 2} [/tex]
Calculate
[tex] x = - 20[/tex]
Hope this helps..
Good luck on your assignment..
(a) Which of the following has only one subset? (1)
(i) {2} (ii) { } (iii) {Ǿ} (iv) None of these
Answer:
Option (i)
Step-by-step explanation:
{2} has only 1 subset i.e. {2} and no other subset. While { } or ∅ has no subset.
ANYONE???????????????????
Answer:
D
Step-by-step explanation:
If I estmaite the answer from 81% to 80%, then 80*2=160. 160/2=80. 80% to 81 percent.
--------------------------------------------------------------------------------
Hope this helps you...
Factor completely 4x2 − 8x + 4. A Prime B 4x(x2 − 2x + 1) C 4(x2 − 2x + 1) D 4(x2 + 4)
Answer:
4 ( x-1)^2
Step-by-step explanation:
4x^2 − 8x + 4.
Factor out the greatest common factor
4( x^2 -2x+1)
Factor inside the terms
4( x-1) (x-1)
4 ( x-1)^2
Answer:
4(x-1)(x-1)
4(x^2-2x+1) C
Step-by-step explanation:
4x^2 − 8x + 4 common factor 4
4(x^2-2x+1)
4(x-1)(x-1) or (4x-4)(x-1)
Randy is building a fence at the side of his warehouse. He has 120 m of fencing and plans to use the
side of the warehouse as one side of the rectangular fenced area. What are the dimensions of the
maximum area Randy can enclose?
Answer:
The width (side perpedicular to the wall of the werehouse): x = 30 m
The lenght (side parallel to the wall of the werehouse): y = 60 m
Step-by-step explanation:
x - the width of the fenced area
Randy has 120 m of fencing so for the lenght remain (120-2x) m of fencing:
y = 120 - 2x
Area of the fencing: A = x•y
A(x) = x•(120 - 2x)
A(x) = -2x² + 120x ← quadratic function
The maximum value of quadratic function occurs at: [tex]x=-\frac b{2a}[/tex]
a = -2 b = 120
[tex]x=-\frac b{2a}=-\frac{120}{2\cdot(-2)}=-\frac{120}{-4}=30[/tex]
y = 120 - 2•30 = 60
Hi The point C lies on a straight line AB and CD is a ray . If /ACD = 470 and /DCB = x0, find the value of x. Does anyone know the answer of this question ?
Answer:
x=133 degrees
Step-by-step explanation:
The diagram is drawn and attached below.
Now, AB is a straight line.
[tex]\angle ACD+ \angle DCB =180^\circ $ (Linear Postulate)\\47^\circ+x^\circ=180^\circ\\x^\circ=180^\circ-47^\circ\\x^\circ=133^\circ[/tex]
A group of 4 friends have a bag of 49 sweets. They divide the sweets equally between them. a) How many sweets does each friend get? b) How many sweets are left over
Answer:
a) Each friend gets 12 sweets
b) There is 1 sweet left
Step-by-step explanation:
When you divide 49 by 4 you will get 12 with a remainder 1.
49 ÷ 4 = 12 R1
The remainder is the left over while the total result is how much each friend gets.
Answer:
A) 12
B) 1
Step-by-step explanation:
49 cannot be divided equally among the 4 friends but 48 can be divided.
A) So,
48/4 = 12 sweets
Each friend gets 12 sweets
B) 1 sweet is left
NEEEED HELPPP NOWWWW Use long division to find the quotient below.
(x^5+ 18x^2 - 27x) - (x+3)
Answer:
[tex] {x}^{4} - 3 {x}^{3} + 9 {x}^{2} - 9x[/tex]Option A is the correct option.
Step-by-step explanation:
[tex] \frac{ {x}^{5} + 18 {x}^{2} - 27x }{x + 3} [/tex]
Factor out X from the expression
[tex] \frac{x( {x}^{4} + 18x - 27)}{x + 3} [/tex]
Add and subtract [tex]3 {x}^{3} [/tex]
[tex] \frac{x( {x}^{4} + 3 {x}^{3} - 3 {x}^{3} + 18x - 27)}{x + 3} [/tex]
Write 18x as a difference
[tex] \frac{x( {x}^{4} + 3 {x}^{3} - 3 {x}^{3} - 9 {x}^{2} + 9 {x}^{2} + 27x - 9x - 27 }{x + 3} [/tex]
factor out [tex] {x}^{3} [/tex]from the expression
[tex] \frac{x( {x}^{3} (x + 3) - 3 {x}^{3} - 9 {x}^{2} + 9 {x}^{2} + 27x - 9x - 27) }{x + 3} [/tex]
Factor out [tex] - 3 {x}^{2} [/tex] from the expression
[tex] \frac{x( {x}^{3} (x + 3) - 3 {x}^{2}(x + 3) + 9 {x}^{2} + 27x - 9x - 27) }{x + 3} [/tex]
factor out 9x from the expression
[tex] \frac{x( {x}^{3}(x + 3) - 3 {x}^{2} (x + 3) + 9x(x + 3) - 9x - 27 }{x + 3} [/tex]
Factor out -9 from the expression
[tex] \frac{x( {x}^{3} (x + 3) - 3 {x}^{2} (x + 3) + 9x(x + 3) - 9(x + 3)}{x + 3} [/tex]
factor out x+3 from the expression
[tex] \frac{x(x + 3)( {x}^{3} - 3 {x}^{2} + 9x - 9) }{x + 3} [/tex]
Reduce the fraction with X+3
[tex]x( {x}^{3} - 3 {x}^{2} + 9x - 9)[/tex]
Distribute X through the parentheses
[tex] {x}^{4} - 3 {x}^{3} + 9 {x}^{2} - 9x[/tex]
hope this helps...
Good luck on your assignment...
n chemistry, the pH of a solution is defined by: pH space equals space minus log space left square bracket straight H plus right square bracket, where H+ is the hydrogen ion concentration of the solution in moles per liter. Distilled water has a pH of approximately 7. A solution with a pH under 7 is called an acid, and one with a pH over 7 is called a base. Tomato juice has a hydrogen ion concentration of 10 to the power of negative 4.1 end exponent mole per liter. Find the pH of tomato juice. pH space equals space 4.9 pH space equals space 2.8 pH space equals space 3.5 pH space equals space 4.1
Answer:
The correct option is;
pH = 4.1
Step-by-step explanation:
The given information are;
The hydrogen ion [H⁺] concentration in tomato juice = [tex]10 ^{-4.1}[/tex]
The pH of a solution = -㏒{H⁺] = -㏒( [tex]10 ^{-4.1}[/tex]) = -(-4.1) × ㏒(10) = 4.1
The pH of the of the tomato juice = 4.1
The pH is the term used to refer to the acidity of water with the range of pH values ranging from 0 to 14 where pH values of a solution lesser than 7 are considered acidic while pH values above 7 indicate a basic solution.
Mark says that the number 2 is a rational number because he can write it as the fraction >
Is Mark correct? Why or why not?
O Mark is correct because the denominator, 1, is an integer.
Mark is correct because the fraction is equal to V2.
Mark is not correct because 2 is not equal to the fraction
✓
Mark is not correct because a fraction is rational only if the numerator and the denominator are both integers.
Answer:
C and D.
Step-by-step explanation:
I am guessing that he wants to find if 2 is a rational number by comparing it to the fraction [tex]\frac{\sqrt {2}}{1}[/tex]
There are a couple of reasons why Mark is not correct:
1. A number is rational only if it can be written as a fraction made up of the numerator and denominator as integers.
2. The fraction [tex]\frac{\sqrt {2}}{1}[/tex] is not equal to 2, so, he is wrong.
So, C and D would be correct.
NOTE: In case I misinterpreted the question, use 1. to judge if it is rational or not, you should get your answer.
Answer:
Mark is not correct because a fraction is rational only if the numerator and the denominator are both integers.
Step-by-step explanation:
This is the correct answer
brainliest pls
in 2000 the median size of a new single family house was 2057 square feet in 2010 the median size was 2169 square feet.
What is the average rate of change in the median home size over this time period?
a.) 112 sq per year
b.) 89 sq per year
c.) 8.9 sq per year
d.) 11.2 sq per year
Answer:
d.) 11.2 square feet per yearStep-by-step explanation:
The difference in sizes:
2169 - 2057 = 112 square feet
It is 10 years from 2000 to 2010
112:10 = 11.2
the profit earned by a hot dog stand is a linear funsion of the number of hot dogs sold.It cost the owner $48 dollars each morning for the day's supply of hot dogs,but he earnes $2 profit for each hot dog sold which equation represent y, the profit earned bye the hot dogs sold
Answer:
Step-by-step explanation:
If he earns $2 per hot dog sold, then the algebraic expression for this is 2x, where x is the number of hot dogs sold. If he has to put out $48 to buy the supplies, that is represented as -48. The function, then, that represents the profit earned by selling the hot dogs is
y = 2x - 48
Answer:
c
Step-by-step explanation:
A 1600 Watts electric oven is used for 9 hours. Calculate the cost of using the $3.00 per unit of energy (Energy consumed = power× time)
Answer:
The cost is $43.2
Step-by-step explanation:
The first thing to do here is to calculate the amount of energy consumed.
From the question, we are told that this is;
Power * Time
From the question, power = 1600 watts
Time = 9 hours
So amount of energy consumed = 1600 watts * 9 hours = 14,400 watts hour
It should be known that energy is measured in Kilowatts hour ; So therefore 14,440 watts hour is 14,440/1000 kwh = 14.4 kwh
Now, the cost per unit of energy is $3.00 per kwh
So the cost of using 14,400 watts hour would be 14.4 * 3 = $43.2
TIME REMAININ
y = -6x+2
-12x - 2y = -4
How many solutions does this linear system have?
Answer:
Infinitely many solutions.
Step-by-step explanation:
y = -6x + 2
Add 6x to both sides
6x + y = 2
-12x - 2y = -4
Divide each term by -2
6x + y = 2
Since both equations are actually exactly the same, this linear system will have infinitely many solutions.
Hope this helps!
How might you describe the y values for this section of x values: -1
Answer:
Answer is below
Step-by-step explanation:
The y-values are all real numbers because they reach every possible y-value from -∞ to ∞ on the y-axis.
Please help me I will give BRAINLIST and a like
I rlly need help
Answer:
?=3
Step-by-step explanation:
a= 3/5 b - 7
Answer:
the number that should be in the green box is 3
Step-by-step explanation: since it is three-fifths, in numerical way, it should be written as 3/5..
7 less than three fifths of b is a gives 3/5b-7=a
Can someone please help me I really need help please help me thank you
Answer: x=14
Step-by-step explanation: The total is 180 degrees. The right angle is 90, the given angle is 76, so x is 14.
Which relation defined by a mapping diagram is not a function?
Answer:
C
Step-by-step explanation:
What is the "k" value of the following function? Is it 3, -2, -3, or 2?
Answer:
-3
Step-by-step explanation:
we khow that the vertex form of a function is written this way :
f(x)=a(x-h)²+k
the coordinates of the vertex are (h,k) so from the graph we can deduce that k = -3
Write the equation of the line of best fit using the slope-intercept formula y = mx + b. Show all your work, including the points used to determine the slope and how the equation was determined.
Answer: ŷ = 0.96185X + 3.55949
Step-by-step explanation:
From the plot provided : our points are;
(19,25), (36,35),(37,39),(41,40),(44,45),(46,50),(47,49),(49,47),(51,55),(57,59),(58,60),(58,61)
According to relation:
Y = mx +c
Using the online linear regression calculator
ŷ = 0.96185X + 3.55949
The gradient or slope (m) = 0.96185
m = (y2 - y1) / (x2 - x1)
16 - 4y when y is 4
Some plzzzzz helppppp!!!!
Answer:
0
Step-by-step explanation:
To solve this equation, first find out 4y, which equals 16. Then do the full equation, 16-16=0.
Answer:
Let 16-4y=0
Substracting 16 on both sides
16-16-4y=-16
-4y=-16
4y=16
y=4
Rebutting the value of y
=16-4(4)
=16-16
=0
Step-by-step explanation:
I hope this will help you :)
Help please solve this
RU is a diameter, so the two equations make half a circle which is 180 degrees.
24x+5 + 10x+5 = 180
Combine like terms:
34x + 10 = 180
Subtract 10 from both sides:
34x = 170
Divide both sides by 34
X= 5
RS= UV
RS = 10x +5
Replace x with 5
RS = 10(5) + 5 = 55
Answers:
X = 5
RS = 55
When x= 12, y= 144. (a) Express y in terms of x. (b) Find the value of y when x= 7.
Answer:
see explanation
Step-by-step explanation:
Given x = 12, y = 144
We can see that y is 12 times the value of x, thus
(a)
y = 12x
(b)
when x = 7, then
y = 12 × 7 = 84
A 15 foot pole extends & feet below ground and 10 feet above ground. Choose the
linear equation that models the situation.
Answer:
There is no specific linear equation for this scenario because there is only one possible length for the pole.
Step-by-step explanation:
If 8% of a number is 4, what is 12% of a number? Explain your reasoning.
Answer:
0.08, 4, 0.12
Step-by-step explanation:
0.08, 4, 0.12
Sam bakes a variety of biscuits. 1/3
are peanut, 12 are raisin and the
remaining 12 were oat. How many
biscuits are baked?
Answer: 36
Step-by-step explanation:
Let the no. of biscuits be x
Peanuts will be 1/3x
So,
1/3x + 12 + 12 = x
1/3x + 24 = x
x + 72 = 3x
x-3x = -72
x = 72/2 = 36
Peanut biscuits will be 1/3 * 36 = 12
Total no. of biscuits baked were 12+12+12 = 36