Answer:
All of the zeros would be 2, -1 and 4
Step-by-step explanation:
When you set each of the factors equal to zero solve for x. The only one you can't is 3 because [tex]3\neq 0\\[/tex]
Final answer:
The zeroes of the function y = 3(x-2)(x+1)(x-4) are x = 2, x = -1, and x = 4.
Explanation:
The question asks to find all the zeros of the function y = 3(x-2)(x+1)(x-4). A zero of the function is a value of x that makes the function equal to zero. To determine these values, set the function equal to zero and solve for x:
0 = 3(x-2)(x+1)(x-4)
This equation is true when x equals 2, -1, or 4, since any of those values would make at least one of the factors equal to zero, which in turn makes the entire product zero. Therefore, the zeros of the function are x = 2, x = -1, and x = 4.
The sum of the squares of two numbers is 50. The product of the two numbers is 25. Find the numbers.
Answer:
5 and 5
Step-by-step explanation:
Since your shape is a square, ALL SIDES HAVE TO BE EQUAL. So 5x5 equals 25.
If the sum of the squares of two numbers is 50 and the product of the two numbers is 25, then the two numbers are 5 and -5.
Let's assume the two unknown numbers are "x" and "y". We are given two conditions:
The sum of the squares of the two numbers is 50:
This can be represented as an equation: x² + y² = 50.
The product of the two numbers is 25:
This can be represented as another equation: x * y = 25.
Now, we have a system of two equations with two variables (x and y). We can solve this system of equations to find the values of x and y. Let's use the substitution method to do this.
Step 1: Solve one equation for one variable in terms of the other variable.
From the equation x * y = 25, we can solve for y in terms of x:
y = 25 / x.
Step 2: Substitute the value of y in terms of x into the other equation.
Replace y in the equation x² + y² = 50 with 25 / x:
x² + (25 / x)² = 50.
Step 3: Simplify and solve the equation for x.
x² + 625 / x² = 50.
To eliminate the fraction, multiply both sides by x²:
x⁴ + 625 = 50 * x².
Rearrange the equation to bring all terms to one side:
x⁴ - 50 * x² + 625 = 0.
Step 4: Solve the quadratic equation for x.
This is a quadratic equation in terms of x². Let's substitute a new variable to simplify the equation. Let u = x². Now the equation becomes:
u² - 50 * u + 625 = 0.
This quadratic equation can be factored as:
(u - 25)² = 0.
Solving for u:
u = 25.
Step 5: Find the values of x and y.
Now that we know u = x² = 25, we can solve for x and y:
x² = 25,
x = ±√25,
x = ±5.
And since x * y = 25, when x = 5, y = 25 / 5 = 5.
When x = -5, y = 25 / -5 = -5.
To know more about sum here
https://brainly.com/question/31538098
#SPJ2
the original plan for mr Harris's house is a rectangle that measures 40ft by 50ft. because of the increase and cost of materials, the square footage is reduced to 1739ft squared. how much will the dimensions be decreased?
Answer: The dimesions will be decreased by 13.05%.
Step-by-step explanation:
Hi, we have to calculate the original area.
Area of a rectangle = Length x width
Replacing with the values given:
A = 40x50 = 2000 ft2
Since is reduced to 1739. if we multiply the original area by a the percentage decrease, and subtract that value to the original area, we obtain 1739 ft2.
2000 - (2000x) = 1739
Solving for x
-2000x = 1739 -2000
-2000x = -261
x =-261/-2000
x = 0.1305
Multiply by 1000 to obtain the percentage:
0.1305 x 100 = 13.05%
What property does the hour and minute hand of a clock at 3 o’clock show?
A. opposites
B. perpendicularity
C. symmetry
D. parallelism
Answer:
Hey I think it is C. Symmetry but im no all the way sure
Step-by-step explanation:
Answer:
B. Perpendicularity
Step-by-step explanation:
If you analyze what shows 3 o‘clock, you can see that....
Make a right angle (90 grade angle), that’s is name perpendicular
So that’s why the answer is B
Hope I helped
Sally buys a bracelet for $60 and pays 7% sales tax. What is the total amount Sally pays, including tax, for the bracelet?
Answer:
$64.2
Step-by-step explanation:
After 7% tax, she pays 100+7 = 107% of the cost
107/100 × 60
64.2
write the quadratic equation y=x to the power of 2 -6x+7
Answer:
y = x^2 -6x +7
Step-by-step explanation:
You have already written it. All you need to do is use the appropriate symbol for "to the power of". That symbol is the caret (^).
y = x^2 -6x +7
A triangle with side lengths 12, 14, 18 is...
Answer: is what
Step-by-step explanation:
7. If the perimeter of a square is 14g +28 inches, what is the length, in inches, of each side of
the square?
Answer:
3.5x+7
Step-by-step explanation:
divide your coeeficients by 4
Lance is building a rectangular fence for his chickens. He wants the length to be three times the width and he has 80 feet of fencing. What is the largest possible length? Write an equation and solve.
A) 8w=80; 10
B) 4w=80; 20
C) 8w=80; 30
D) 4w=80; 15
Answer:
C) 8w = 80;30
This is because it is a rectangle and 30ft +30ft =60ft length.
The question asks to make the fence as large as possible fencing overall is same ratio as D but more for length.
The new equation could be for total width both sides;
9^2 -1w = 5
81-1w = 5
w = 80/5
w = 16ft
Final answer:
To calculate the largest possible length for Lance's chicken fence, set up the perimeter equation with length as three times the width. The equation simplifies to 8w=80, and solving for w gives a width of 10 feet, making the largest possible length 30 feet. The correct answer is option C.
Explanation:
Lance is building a rectangular fence for his chickens, and he wants the longer side, the length, to be three times the shorter side, the width. The total amount of fencing he has is 80 feet. To find the largest possible length, we need to set up an equation.
Let the width be w. Then, the length will be 3w. The perimeter of a rectangle is calculated by the formula P = 2l + 2w, where P is the perimeter, and l and w are the length and width, respectively. Since he has 80 feet of fencing, the equation is:
2(3w) + 2w = 80
Simplify the equation:
6w + 2w = 80
8w = 80
To find the value of w, divide both sides of the equation by 8:
w = 80 / 8
w = 10
Now that we have the width, let's find the largest possible length:
Length = 3w = 3(10) = 30
Therefore, the largest possible length is 30 feet. The correct choice is C) 8w=80; 30.
Assume that 2 cards are drawn from a standard 52-card deck. Find the following probabilities.
a) Assume the cards are drawn without replacement. Find the probability of drawing 2 tens.
b) Assume the cards are drawn with replacement. Find the probability of drawing 2 tens.
a. The probability of drawing 2 tens without replacement is
(Simplify your answer.)
b. The probability of drawing 2 tens with replacement is
(Simplify your answer.)
Answer:
Step-by-step explanation:
WITHOUT replacement of first card drawn:
P(a 10 is drawn) = 13/52 = 1/4
P(the next draw is a 10) = 12/52 = 3/13
P(drawing two 10s without replacement of the first draw) = (1/4)(3/13) = 3/52
WITH replacement of first card:
P(two 10s are drawn) = P(first card is a 10)*P(first card is a 10) = (4/13)(4/13) =
16/169
Ty you for the answer
Answer:
The answer would be -5/12
Answer:
The answer is 1/24
Step-by-step explanation:
Hope this Helps!!:)
Would appreciate Brainliest!!:)
Social distancing guidelines state that we must stay a minimum of 6ft away from each other. How many circles with a 3ft radius could fill a 100 square foot (10ft x 10ft) space without overlap?
*Tip*
Area of a Circle = π r where r=radius
Given:
The radius of each small circle = 3 ft
The area of the given space = 100 ft
To find the number of circles could fill the space of 100 ft.
Formula
The area of a circle is
[tex]A = \pi r^{2}[/tex], where r be the radius of the circle.
Now,
Putting, r = 3 and π = 3.14 we get,
[tex]A = (3.14)(3^{2} )[/tex] sq ft
or, [tex]A = 28.26[/tex] sq ft
So, the area of each circle is 28.26 sq ft
Now,
Number of circles that could fill into the given space = 100÷28.26
= 3.53≈3
Hence,
3 circles with radius 3 ft could fill a 100 sq ft space without overlap.
Consider that ΔDEF is similar to ΔGHI and the measure of ∠E is 58°. What is the measure of ∠H?
Answer:
58 degrees
Step-by-step explanation:
If figures are similar to each other, it means that they have the same measures. Therefore, D has the same measure as G, E has the same measure as H, and F has the same measure as I.
What is the answer to this question ?
Answer:
- 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - x - [tex]\frac{40}{17}[/tex] ← is in slope- intercept form
with slope m = - 1
Parallel lines have equal slopes
Thus the slope of line d is - 1
What is the cube root of 8x^27? 2x^3 2x^9 4x^3 4x^9
Answer:
2 x^9
Step-by-step explanation:
8x ^27
We want to take the cube root
(8x ^27) ^1/3
We know that (ab)^1/3 = a^1/3 * b^1/3
(8) ^ 1/3 (x ^27) ^1/3
Re writing 8 as 2^3
(2 ^3) ^ 1/3 (x ^27) ^1/3
We know that a^b^c = a^ (b*c)
(2 ^(3* 1/3) *x ^(27 *1/3)
2 ^ 1 * x ^ 9
2 x^9
The left and right page numbers of an open book are two consecutive integers whose sum is 295. Find these page numbers.
The two page numbers are IN
(Use a comma to separate answers as needed.)
Answer:
147, 148
Step-by-step explanation:
295/2=147 remainder 1 so, consecutive means back to back so 147 and 148. Add them up and you get 295.
Final answer:
The consecutive page numbers with a sum of 295 are 147 and 148, with 147 being the left page and 148 being the right page.
Explanation:
To find the consecutive page numbers of an open book with their sum equal to 295, we can set up a simple equation. Let the smaller integer be n, which means the next consecutive integer (the other page number) would be n+1. Since their sum is known to be 295, we set up the equation as n + (n + 1) = 295.
Solving for n gives us:
n + n + 1 = 295
2n + 1 = 295
2n = 294
n = 147
Therefore, the two consecutive integers are 147 and 148. The left page number is 147 and the right page number is 148.
Hal and Sal work on a base wage plus
commission. Hat makes $150 per week
plus a 40% commission on total sales.
Sai makes $175 når week plus a 35%
commission on total sales. What
amount of sales will each need to make
their pay equal? What will be their
gross pay?
Answer:
$446
Step-by-step explanation:
$150
10% = 15
40% = 60
$210
$175
10% = 17.5
30% = 52.5
5%=8.25
$236
add it all up
$446
Hal and Sal need to make $500 in sales to have their pay equal. Their gross pay will be $350 each.
Explanation:To find the amount of sales that Hal and Sal need to make their pay equal, we can set up an equation.
Let's say the amount of sales that Hal needs to make is x.
Hal's base wage is $150 per week, and he also earns a 40% commission on total sales. So his total pay can be expressed as:
Total Pay = Base Wage + Commission
Total Pay = $150 + (40% * x)
Similarly, Sal's total pay can be expressed as:
Total Pay = $175 + (35% * x)
To find the amount of sales that makes their pay equal, we can set these two equations equal to each other:
$150 + (40% * x) = $175 + (35% * x)
Now we can solve for x:
$150 + 0.4x = $175 + 0.35x
0.4x - 0.35x = $175 - $150
0.05x = $25
x = $25 / 0.05
x = $500
So, to make their pay equal, Hal and Sal both need to make $500 in sales.
To find their gross pay, we can substitute the value of x into the equations for their total pay:
Hal's Gross Pay = $150 + (40% * $500) = $150 + $200 = $350
Sal's Gross Pay = $175 + (35% * $500) = $175 + $175 = $350
To find the value of x, do you divide or multiply?? cause this is confusing
Answer:
divide
Step-by-step explanation:
you know the angle across the green one is 32 too so they together equal 64 and 360 - 64 is 296 so with 296 split between two angles you do 296 / 2 which equals 148
For number 2 I know the answer but I just need work so if you could please explain the work I’d be thankful
Answer:
Step-by-step explanation: when you take 521 and divide it by 4 you get 130.25, which is about 130, making you choose answer choice B. (lol i like your profile picture too!!)
Choose the relation that is a function
Option 2. the circle graphs are not functions when there are two arrows pointing on the same right number
I need the area of that rectangle
Answer:
21/40mm squared
Step-by-step explanation:
to find area you have to multiply length * width
7/8 * 3/5 = 21/40
Decimal form: 0.525
Answer: 21/40
Step-by-step explanation: 7/8*3/5=21/40
How can I identify the shaded part of 100 grid as a fraction and a decimal?
To identify the shaded part of a 100 grid as a fraction, count the shaded squares; each represents 1%, making the denominator 100. The fraction formed can be simplified if possible, and converting it to a decimal involves dividing the numerator by the denominator.
To identify the shaded part of a 100 grid as a fraction and a decimal, you must first count the number of shaded squares. Since each square represents 1% of the total grid, the number of shaded squares can be directly written as a percent. For example, if 45 squares are shaded, the shaded part would represent 45%.
As a fraction, this is equal to 45/100, because the denominator should be 100 in order to represent a percent as a fraction.
To convert this fraction to a decimal, divide the numerator by the denominator which gives 0.45. If you have shaded half the grid, it means 50 squares are shaded out of 100. The fraction would therefore be 50/100, which simplifies to 1/2, and the decimal would be 0.50.
work out the two possible answers 5 + 3d 2 = 8
Answer:
d = ±1
Step-by-step explanation:
5 + 3d² = 8
3d² = 3
d² = 1
d = ±1
Can I get brainliest
For the following data set, select the best method for summarizing the data.
3, 3, 4, 5, 2, 9, 5, 2, 3, 4
A) Median
B) Range
C) Outlier
D) Mean
E) Mode
D
Step-by-step explanation:
the mean is the average of the set of numbers, which makes it perfect for summarizing data.
da derri purchases 8 foam fingers for $9
Viw
a
1. Jerri purchases 8 foam fingers for $9
each. She then withdrew $8 out of her
checking account and she has $26 left. How much money did she
have to begin with?
Answer:
26 + 8 = 34
Step-by-step explanation:
because it said he withdrew and that means take money out. so she had 34 at first
the library labels each book with a five-digit code to identify the books in their computer system. each code is 3 digits (0-9) followed by two letters. how many codes are possible?
Answer:
676000
Step-by-step explanation
3 digits of the 5-digit code are number 0-9 which is 10 numbers that could go into that spot, after the three digits there are two letters and because there are 26 letters in the alphabet you would multiply 10*10*10*26*26 which equals 676000
There are 676,000 possible codes.
What is Combination?An arrangement of objects where the order in which the objects are selected does not matter.
Given that library labels each book with a five-digit code to identify the books in their computer system.
Each code is 3 digits (0-9) followed by two letters
We need to find the possible number of codes.
There are 10 possible digits (0-9) for each of the first three positions, and 26 possible letters (A-Z) for each of the last two positions. Therefore, the total number of possible codes is:
10 x 10 x 10 x 26 x 26 = 676,000
Hence, there are 676,000 possible codes.
To learn more on Combinations click:
https://brainly.com/question/19692242
#SPJ6
Determine the points for the graph of the relation y = -5x -3 using the x-values given in the table
Answer:
(-2,7) , (-1,2) , (0,-3) , (1,-8) , (2,-13)
Step-by-step explanation:
For the first one,
y = -5x - 3
We can substitute the x value:
y = -5(-2) - 3
Then just simplify
y = 10 - 3
y = 7
Then you would get the coordinates: (-2,7)
You probably had the same approach but put the numbers in the wrong order. The third option would be correct.
there are 10 students in a class 7 boys and 3 girls , what is the probability that everyone in the group is a boy
Rico and Halima are shopping for craft sticks, glue, and electrical tape for a science project. Together, they have $30 to spend on supplies. How should they spend their $30 if they need at least 1,000 craft sticks? 275 craft sticks is $4.75 electrical tape is $3.50, large glue is $5.00 small glue is $3.50
Rico and Halima should spend $17.30 on craft sticks and evenly distribute the remaining $12.70 between large glue, small glue, and electrical tape.
Explanation:To determine how Rico and Halima should spend their $30 on craft sticks, glue, and electrical tape, we need to calculate the cost of each item and ensure they have enough money to buy at least 1,000 craft sticks. Let's break it down:
Craft sticks cost $4.75 for 275 sticks. Hence, the cost per craft stick is $4.75/275 = $0.0173 (rounded to 4 decimal places).If they need at least 1,000 craft sticks, the minimum cost for craft sticks will be 1,000 × $0.0173 = $17.30 (rounded to 2 decimal places).Next, let's consider the cost of the other supplies. Large glue costs $5.00 and small glue costs $3.50. The electrical tape costs $3.50.To determine the remaining amount, they can spend on glue and electrical tape, we subtract the minimum cost of craft sticks from their total budget: $30 - $17.30 = $12.70.
Now we need to decide how much to spend on large glue, small glue, and electrical tape. Since we don't have specific quantities required for each item, let's assume they spend an equal amount on large glue, small glue, and electrical tape.
Therefore, each item can cost $12.70/3 = $4.23 (rounded to 2 decimal places).
Learn more about Calculating expenses for purchasing craft supplies here:https://brainly.com/question/29754702
#SPJ12
Rico and Halima should buy 1,100 craft sticks, two small glues, and one electrical tape for a total of $29.50, staying within their $30 budget.
Here’s a breakdown of how they can spend their money:
Purchase Plan
Craft Sticks: 1,100 craft sticks (4 packs) = 4 x $4.75 = $19.00Large Glue (recommended for better bonding): 2 x $5.00 = $10.00Electrical Tape: 1 x $3.50 = $3.50Total: $19.00 + $10.00 + $3.50 = $32.50
Since $32.50 exceeds their $30 budget, they’ll need to make adjustments:
Craft Sticks: 1,100 craft sticks (4 packs) = 4 x $4.75 = $19.00Small Glue: 2 x $3.50 = $7.00Electrical Tape: 1 x $3.50 = $3.50Total: $19.00 + $7.00 + $3.50 = $29.50 (within budget).
Therefore, Rico and Halima should buy 1,100 craft sticks, two small glues, and one electrical tape for a total of $29.50.
if u have a new deck of shuffled cards what is the probability you will choose a black card?
Answer:
50%
Step-by-step explanation:
There are 4 suits in a deck of cards, hears diamonds clubs and spades
2 are red and 2 are black
This means 1/2 of the cards are black and 1/2 are red
P (black) = black cards / total cards
= 1/2
= 50%
Three numbers that add up to 30
Answer:
1+2+27=30
3+6+21=30
20+3+7=30
So many more, but here are a few.
To find three numbers that add up to 30, you can choose different combinations. For example, you could use 10, 10, and 10 or figures like 15, 10, and 5. The specific numbers can vary based on the criteria involved.
Explanation:When dealing with numbers that add up to a specific value, there are many possible combinations depending on the criteria you use. For example, if you wish to find three different positive numbers that add up to 30, you could choose 10, 10, and 10. This is because each number is significant and can be repeated in this scenario. These would add up to 30, as 10+10+10 equals 30.
Alternatively, you could choose a variety of numbers such as 15, 10, and 5, which also add to 30. Here the expression is set up as 15 + 10 + 5. Another option could be three unit conversion factors like 12, 8, and 10. The method of finding three numbers that add up to a certain sum is an extension of practical problem-solving often used in daily life.
Learn more about Number Combinations here:https://brainly.com/question/31781540
#SPJ12