Answer: Hello mate!
If you have any real number A; you always have that:
A*0 = 0
this means that the product between a number A and zero, is equal to zero, and this is for every number. (note that A can be equal to 0, and 0*0 = 0)
Then if a*b = 0, you know that, at least one of the numbers is equal to zero, and there is possible that both numbers are equal to zero.
And with this information, you can see that the right answer is D.
"if If a • b = 0, then either a = 0 or b = 0, or both."
because:
0*b = 0
a*0 = 0
0*0 = 0
Final answer:
The zero product rule states that if the product of two multiplicands equals zero, then at least one of the multiplicands must be zero, which is correctly represented by option D.
Explanation:
The correct statement of the zero product rule is: If a • b = 0, then either a = 0 or b = 0, or both. This is accurately represented by option D. The zero product rule is a foundational concept in algebra that asserts when the product of two or more numbers or variables equals zero, at least one of the multiplicands must be zero. It's crucial for solving equations where a product is set equal to zero, as it allows for each factor to be set equal to zero and solved individually. This rule is pivotal in finding solutions to polynomial equations, among others. For example, in the equation (x + 2)(x - 3) = 0, applying the zero product rule we set each factor equal to zero: x + 2 = 0 or x - 3 = 0, leading to the solutions x = -2 or x = 3, respectively.
Please write the function
A candle is 17 in. tall after burning for 3 hours. After 5 hours, it is 15 in. tall. Write a linear equation to model the relationship between height h of the candle and time t. Predict how tall the candle will be after burning 8 hours.
Alvin’s age is two times Elga’s age. The sum of their age is 60. What is Elga’s age?
x = Elgas age
2x = Alvins age
x +2x = 60
3x =60
x = 60/3 = 20
Elga is 20 years old
Final answer:
By setting Elga's age as x and establishing an equation based on the given relationship and sum of their ages, we calculated Elga's age to be 20 years old.
Explanation:
To determine Elga's age, we will use the information given:
1. Alvin's age is two times Elga's age.
2. The sum of their ages is 60.
Let's define Elga's age as x. Then, Alvin's age would be 2x since it is two times Elga's age. The sum of their ages can be written as the following equation:
x + 2x = 60
This simplifies to 3x = 60. To find Elga's age, we divide both sides by 3:
3x / 3 = 60 / 3
x = 20
Therefore, Elga's age is 20 years old.
Given an int variable n that has been initialized to a positive value and, in addition, int variables k and total that have already been declared, use a do...while loop to compute the sum of the cubes of the first n whole numbers, and store this value in total. thus if n equals 4, your code should put 1*1*1 + 2*2*2 + 3*3*3 + 4*4*4 into total. use no variables other than n, k, and total.
divide -2x^3-5x^2+4x+2 by x+2
Final answer:
The detailed answer explains how to divide a polynomial by another using long division method.
Explanation:
To divide -2x³-5x²+4x+2 by x+2, we will perform polynomial long division:
-2x³-5x²+4x+2 / x+2
Start by dividing the leading terms: -2x³ / x = -2x². Multiply x+2 by -2x² to get -2x³-4x². Subtract this from -2x³-5x² to get x². Bring down the 4x next. Continue the process and you will get a quotient of -2x²+x-2 with a remainder of 6.
Difference of two exponential random variables
Difference of two exponential random variables
Convert the mixed number to a decimal. 4 6/25 A. 4.12 B. 4.24 C. 4.25 D. 4.625
Complete the inequality statement with the symbol that makes it true.
1.67 ___ 16.7
>
<
=
Answer:
The symbol in the blank space would be '<'
Step-by-step explanation:
Since, in inequality,
'>' = greater than,
'<' = less than,
'≥' = greater than equal to,
'≤' = less than equal to,
Now, 1.67 × 10 = 16.7
⇒ 16.7 is 10 times of 1.67,
That is,
1.67 is less than 16.7
⇒ 1.67 < 16.7
Hence, THIRD option is correct.
What happens when you multiply a fraction by 1?
Factor the expression. 21x2 + 55x + 14
Answer:
(3x + 7)(7x + 2)
Step-by-step explanation:
The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is 2l + 2w = 16, where lrepresents the length of the rectangle and w represents the width of the rectangle. Which value is possible for the length of the rectangle?
It is basically a trick question. Firstly we have to ficus on the given formula to get to the answer for this question.
2l + 2w = 16
2(l + w) = 16
l + w = 8
l = 8 - w
Mow w cannot be less than 1. So the length of the rectangle cannot be more than 7. So we can conclude that 7 inches is the correct option or the first option is the correct option among the given options.
Hope this helped!!!!!
Which number can each term of the equation be multiplied by to eliminate the decimals before solving? –m + 0.02 + 2.1m = –1.45 – 4.81m A)0.01
B)0.1
C)10
D)100
since the 2 in 0.02 is in the hundredths place, you need to multiply that by 100 to eliminate the decimal, then you would need to multiply the other numbers by 100 as well
Answer is D) 100
The decimals place in a number can be shifted right or left by multiplying or dividing by powers of 10 respectively
The option which gives the number that will multiply each term of the equation -m + 0.02 + 2.1·m = -1.45 - 4.81·m to eliminate the decimals before solving, is option D)
D) 100
Reason:
The given expression is presented as follows;
-m + 0.02 + 2.1·m = -1.45 - 4.81·m
The number that can multiply the terms to eliminate the decimals before solving
Solution;
The number of decimal places to which the coefficient and constant values are given = 2 decimal places
Therefore, to eliminate the decimal places, the decimal point of each term has to be moved two places to the right
To move decimal points to the right x number of places is given by multiplying the number by 10ˣ
Therefore, to move the decimal point two places to the right so as to eliminate the decimal point, by multiplicative property of equality, we have;
10² × (-m + 0.02 + 2.1·m) = 10² × (-1.45 - 4.81·m)
10² = 100, therefore, we have;
100 × (-m + 0.02 + 2.1·m) = 100 × (-1.45 - 4.81·m)
-100·m + 2 + 2,100·m = -145 - 481·m
Therefore, the number the equation, -m + 0.02 + 2.1·m = -1.45 - 4.81·m, is to be multiplied by is 100
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What are the domain and range of the function???
the curved line starts at (6,0) so the domain is x≥6
the range is the Y value, since the curved line continues off the graph and does not cross over the x axis the range would be y≥0
The density of water is 1.0 g/cm3 how many deciliters of water will fill
a.5-l bottle
You push the ball with a force of 22.8N which includes a- 2.3N frictional force. So, what is the net force while you push the ball?
A public park is in the shape of a triangle. the side of the park that forms the base of the triangle is 22 yd long and the area of the park is 7500 yd 2 what is the length of the side of the park that forms the height of the triangle
he value of an autographed baseball from 2017 is $300. The value of the baseball exponentially increases by 5% each year after 2017. Write a one-variable inequality that could be used to solve for the number of years, x, it would take for the baseball to be worth at least $650. Do not use any dollar signs in the inequality. Write the inequality in standard form.
Answer:
[tex]300(1.05)^x\geq 650[/tex]
Step-by-step explanation:
Since, the initial value of the basketball = $ 300
Annual rate of interest = 5 %
Let the basket ball after x years is worth at least $ 650,
⇒ The cost of basketball after x years ≥ 650
[tex]\implies 300(1+\frac{5}{100})^x\geq 650[/tex]
[tex]\implies 300(1+0.05)^x\geq 650[/tex]
[tex]\implies 300(1.05)^x \geq 650[/tex]
Which is the required inequity.
Fatimah works two shifts per day at the pizza shop. During her storefront shift, she sells her pizzas at a rate of 6 pizzas per hour. During her delivery shift, she sells 20 pizzas per night. Write an equation in slope-intercept form that represents the number of pizzas that Fatimah sells in one day if she works x hours.
A-y=1/6x-20
B-y=20x+6
C-y=6x+20
D-y=-6x+20
Calculate the value of the area between the function f(x)=x^2-4f(x)=x2−4 and the x-axis on the interval from x = 0 to x = 2. round your answer to one decimal place.
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Find ONLY the areas of the polygons
11.
area for lower left = 52*62 = 3224
area for upper right = 68*54 = 3672
total area = 3224 + 3672 = 6896 square yards
12.
area of upper left = 57-69 = 3933
area of lower right = 24*37 = 888
total area = 3933 +888 = 4821 square feet
If a memory cell whose address is 5 contains the value 8, what is the difference between writing the value 5 into cell number 6 and moving the contents of cell number 5 into cell number 6?
The required difference is value 5 is put in cell 6 and in the second case value of cell 5 is transferred to cell number 6.
Given that,
If a memory cell whose address is 5 contains the value 8, what is the difference between writing the value 5 into cell number 6 and moving the contents of cell number 5 into cell number 6 is to specify.
Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is the independent variable while Y is a dependent variable.
Here,
If a memory cell whose address is 5 contains the value 8
implies at cell number 5 the entry is 8
Similarly,
writing the value 5 into cell number 6
While in the case of moving the contents of cell number 5 into cell number 6, Implies 8 is transferred to cell number 6.
Thus, the required difference is value 5 is put in cell 6, and in the second case value of cell 5 is transferred to cell number 6.
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Taylor made 5 1⁄4 cups of iced tea. How many 10 ounce glasses can he fill to the brim with iced tea?
Dennis has 30 plums and 42 apricots. he wants to put the fruit in bag so that each bag has the same number of like fruit. how many pieces of fruit can he put in each bag
Solve.
Mr. Madison picked 80 pieces of fruit on Thursday.Add.
042412+ 4080What does it mean for a set of financial records to be comprehensive?
a. Comprehensive records are protected against theft and fire.
b. The records must contain sufficient information to cover all of your financial plan. c. At least two people must be able to view and assess the records.
d. The records must contain every one of your financial files, such as pay stubs and receipts.
Answer:
B. The records must contain sufficient information to cover all of your financial plan.
Step-by-step explanation:
For a set of financial records to be comprehensive, means - The records must contain sufficient information to cover all of your financial plan.
One should prepare all the strategies before hand and all the details of ones financial plans should be thoroughly examined , before implementing any plan.
Question 12 information reference tables look at each expression. is it a factor of 8x4 + 2x2 – 45 when this expression is fully factored? select yes or no for expressions a –
d.
a. 2x2 + 3 yes no
b. 2x2 + 5 yes no
c. 2x – 3 yes no
d. 4x2 – 9 yes no
The graph of y=-4x+7 is:
A. a line that shows the set of all solutions to the equation.
B. a point that shows one solution to the equation.
C. a point that shows the y-intercept.
D. a line that shows only one solution to the equation.
Answer:
A. A line that shows the set of all solutions to the equation
Step-by-step explanation:
Consider the equation 3p – 7 + p = 13. What is the resulting equation after the first step in the solution?
name each polynomial by degree and number of terms calculator.
1. -8
2. -4 + 10n
3. 5a^4 - 2a^3 + 7a
4.-3+8v^2
5. -9^5 + 6x^3 - 7x^2 -
9x^4
Bonita is testing prototype model rocket engines. To be considered a successful launch, the rocket must reach a height of at least 24 ft and must go a horizontal distance of no more than 10 ft. The vertical height must be at least three times as high as the horizontal distance. No rocket should go higher than 33 ft.
The graph shows the feasible region, where x represents the horizontal distance and y represents the vertical distance.
Which ordered pairs meet all the constraints for a successful launch and make sense in context of the situation?
Select each correct answer.
1. (4, 36)
2. (0, 33)
3. (4.8, 30.5)
4. (2, 22)
5. (9, 26)
confused on this question