The solution to the equation 58p - 34 = 4 is p = 38/58
Equation
An equation is an expression used to show the relationship between two or more variables and numbers.
From the question, given the equation:
58p - 34 = 4
Add 34 to both sides of the equation:
58p - 34 + 34 = 4 + 34
58p = 38
To make p the subject of the equation, divide through by 58:
58p/58 = 38/58
p = 38/58
The solution to the equation 58p - 34 = 4 is p = 38/58
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Which polynomials are prime? Check all that apply. 2x2 7x 1 5x2 – 10x 5 3x2 8 4x2 – 25 x2 36.
You can use the definition of prime polynomials to find out which polynomial is prime and which is not.
The prime polynomials in the given options are:
Option 1: [tex]2x^2 + 7x + 1[/tex]
Option 3: [tex]3x^2 + 8[/tex]
What are prime polynomials?Those polynomials with integer coefficients that cannot be factored further, with factors of lower degree and integer coefficients are called prime polynomial.
(it is necessary that no factors exists having their coefficients are still integers and they're of lower degree)
Which of the given polynomials are prime?Option 1: [tex]2x^2 + 7x + 1[/tex]
We have to check it manually. The roots of this equation are
not integer or integer fraction (checked from calculator), and does't factor into smaller integer coefficient polynomials.
(you can check if its getting factored, manually, and most of the times, if it is not prime, it will get factored).
Thus, it is a prime polynomial.
Option 2: [tex]5x^2 - 10x +5[/tex]
We can rewrite it as
[tex]5x^2 -10x + 5\\5x^2 - 5x -5x =5\\5x(x-1) -5(x-1)\\(5x-5)(x-1)[/tex]
Thus, it is possible to write it as product of lower degree polynomial with integer coefficients, thus it is not a prime polynomial.
Option 3: [tex]3x^2 + 8[/tex]
Since 3 is prime number and since given polynomial is quadratic thus lower degree would be only linear, thus, let
[tex](3x+a)(x+b) = 3x^2 + 8\\3x^2 + (a+3b)x + ab = 3x^2 + 8\\a = -3b\\ab = 8\\(-3b)b = 8\\b = \sqrt{-8/3}[/tex]
b is not a real number, so the factorization is not polynomial factorization.
Thus, it is prime polynomial.
Option 4: [tex]4x^2 - 25[/tex]
We can rewrite it as:
[tex](2x)^2 - 5^2= (2x+5)(2x-5)[/tex]
Thus, not a prime polynomial.
Option 5: [tex]x^2 - 36\\[/tex]
We can rewrite it as:
[tex]x^2 - 6^2 = (x-6)(x+6)[/tex]
Thus, not a prime polynomial.
Thus,
The prime polynomials in the given options are:
Option 1: [tex]2x^2 + 7x + 1[/tex]
Option 3: [tex]3x^2 + 8[/tex]
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Answer:
it is 1,3,5
Step-by-step explanation:
Please
Solve the problem
Answer:
how do you solve it the problem
The length of a rectangle is three times its width. The rectangle's perimeter is 88 inches. What is the length of the rectangle in inches?
Answer: Length: 11 inches
Step-by-step explanation: W = width L = Length = 3w
Formula: P = 2(w) + 2(L) = Substitute the values below:
88 = 2w + 2(3w) = 88 = 2w + 6w = w = 11 = 3w
Five women were giving a friend a baby shower. They decided they would split the cost of everything evenly. The cake cost $25.50 and the gift cost $125.00. They bought 3 packages of plates for $2.75 each and 2 boxes of forks for $1.25 each. How much will each woman spend on the shower?
Answer: $ 32.25 each
Answer:
32.25$ for each woman
Step-by-step explanation:
total cost calculation
cost of plates = 3 * 2.75 =8. 25$
cost of forks = 2*1.25 = 2.50$
total cost = 125+25.50+8.25+2.5=. 161.25$
cost bore by each = 161.25/5 = 32.25$
im struggling someone should help
Answer:
k || j
Step-by-step explanation:
k || j or n || m
Both look parallel since they don't intersect. However, I believe it might be k || j since they seem more similar
a car uses 20 litres to travel 400 km . Find the rate in litres per km
Answer:
80 km per liter
Step-by-step explanation:
400 x .20 = 80
Answer: 20
Step-by-step explanation:Distance traveled = 400 km
Petrol used. = 20 liters
Petrol used per km = 400/20
= 20 km
therefore, a car travels 20 km in 1 litre.
How many solutions does this system has y=5x+1
y=−2x−8
Find the 46th term of 15. 30, 60
Answer:
5.2776558e+14
Step-by-step explanation:
[tex]a_{n} =a_{1} *r^{n-1}[/tex]
15, 30, 60
[tex]a_{46} =15(2)^{46-1}[/tex]
[tex]a_{46}[/tex] = 5.2776558e+14
hope it helps :)
mark brainliest!
Jess is trying to save $100. She saves money each week. The first week she saves
$20.75 then she saves $22.50 and then she saves $26.65. How much more does she
need to save?
Answer:
total money saved=20.75+22.50+26.65
=69.9
then,
more money does she need to save = 100-69.9
30.1
Step-by-step explanation:
plz mark me brainlist plz
The function f(t)=9900(1.0015)^{10t}f(t)=9900(1.0015)
10t
represents the change in a quantity over t decades. What does the constant 1.0015 reveal about the rate of change of the quantity?
Using exponential function concepts, it is found that the constant 1.0015 reveals that the quantity increases by 0.15% each decade.
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.In this problem, the function is:
[tex]f(t) = 9900(1.0015)^{10t}[/tex]
In which t is the time in decades.
The growth rate is r = 0.0015, as [tex]1 + r = 1.0015 \rightarrow r = 0.0015[/tex], hence the constant 1.0015 reveals that the quantity increases by 0.15% each decade.
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whats ski mask first ever song
Answer:
it was catch me on soundclouud
Step-by-step explanation:
The table below shows the typical hours worked by employees at a company. A salaried employee makes $78,000 per year. Hourly employees get paid $26 per hour, but get $39 per hour for each hour over 40 hours. Sun. Mon. Tues. Wed. Thurs. Fri. Sat. 2000 8 8. 5 9. 5 10 8 3 Which of the payment options would you recommend to a new employee? a. Either one. Hourly and salaried employees earn the same amount per week. B. Hourly pay. Hourly employees make more per week than salaried employees. C. Salaried pay. Salaried employees make more per week than hourly employees. D. There is not enough information given to compare weekly earnings. Please select the best answer from the choices provided A B C D.
We will recommend option C which is Salaried pay. Salaried employees make more per week than hourly employees.
How do you find out the best salary option?
Given that, Salary per year = $78,000.
Hourly employees get paid $26 per hour, but get $39 per hour for each hour over 40 hours.
The total number of working hours from Sunday to Saturday is 47.
The payment for 47 hours of work per week will be given below.
Salary per week = [tex]40 \times 26 + 7 \times 39[/tex]
Salary per week = $1313
We know that there are 52 weeks in one year. So the salary for one year is given below.
Salary per year = [tex]1313\times 52[/tex]
Salary per year = $68276
We can see that we calculate the yearly salary with per hour rate, the amount will be lower than the salary per year $78000.
Hence we will recommend option C which is Salaried pay. Salaried employees make more per week than hourly employees.
To know more about years and weeks, follow the link given below.
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Look at the line graphed below. Write an equation of a different line that has the same y- Entercept as the line shown, but has a slope that s two times the slope of the given line. 2 1 х m *** - 1 2 3 5
Supposing the line graphed is y = 2x + 3, the equation of the different line is:
y = 4x + 3.
What is a linear function?A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.In this problem, the equation is:
y = 2x + 3
Hence, the slope is 2 and the y-intercept is 3. For the new line, we want to:
Double the slope, hence m = 4.Keep the same y-intercept, hence b = 3.Then, the equation of the different line is:
y = 4x + 3.
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Can someone help me out please!!!!
Answer:
see attached
Step-by-step explanation:
The left piece is a little tricky because it does not intersect the y-axis. You know it has a slope of -1, so it will be 1 unit higher than the y-intercept when it is 1 unit left of the y-axis. It ends at (-1, 3). The end point is not included in the definition of the relation, so an open circle is shown.
The right piece crosses the y-axis at y=-3, and has a slope of 2. It ends at (-1, -5). This end point is included, so a solid dot will be found at (-1, -5).
The relation is doubly-defined at x = -1, so there is another solid dot at (-1, -2).
__
Additional comment
It is incorrect to call this a function, because it fails the vertical line test at x = -1. There are two points on that vertical line. (You may want to discuss this question with your teacher.)
The volume of a sphere is 3,052.08 . To the nearest meter , what is the radius of the sphere? Use 3.14 for .
Answer:
9 cm
Step-by-step explanation:
v = 4/3 π r³
3052.08 = 4/3 × 3.142 × r³
3052.08 = 4.19 × r³
3052.08/4.19 = r³
728.42 = r³
change the position to solve it easier
r³ = 728.42
r = cubic root 728.42
r = 8.998 cm
round it
r = 9 cm
Please help. Thank you
Answer:
c
Step-by-step explanation:
Pythagoras theroem
[tex] \sqrt{(( {32}^{2}) + {12}^{2} ) } [/tex]
= 4√73
Peter solved a division problem by subtracting and keeping track as shown.
Identify the problem he solved.
Answer:
(1st answer) 268 divided by 19
Step-by-step explanation:
19x10= 190 iykyk
i need help
i don’t know this
6. ×=180-93=87
6. y is 93
7. y is53
7. x is 180-53=127
There are 56 crayons in a box. The box has 7 different colors. How many crayons are there of each color?
Answer:
8 of each
Step-by-step explanation:
A car is traveling at a rate of 65 miles per hour. The driver wants to cover a distance of at least 260 miles per day.
Which inequality represents all possible values for h, the number of hours the driver must drive in order to cover at least 260 miles?
A) h≤0.25
B) h≥0.25
C) h≤4
D) h≥4
Write an equation and solve.
65h >= 260
Divide both sides by 65:
H >= 4
answer is D. h≥4
Help please I don’t understand
Answer:
Math
Step-by-step explanation:
Which one(s) did you want us to do? Answer in the comments of this questions and I'll help you from there
Answer:
Hi
so all the whole numbers will be divided by one meaning it will look like
3 x 9
4 1
And
8 x 5
1 6
Etc, etc
Explain why the sum of two negative
integers is always less than each integer.
Step-by-step explanation:
Because when we have 2 negatives there's no way to end up with a positive, its like mixing oil with water hope this helped
A visitor makes a list of 11 sights he’d like to see. He is determined to visit at least 8 of these. How many possible choices does he have?
Using the combination formula, it is found that he has 232 choices.
The order in which the sights are seen is not important, hence the combination formula is used to solve this question.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, the choices are 8, 9, 10 or 11 sights from a set of 11, hence:
[tex]T = C_{11,8} + C_{11,9} + C_{11,10} + C_{11,11} = \frac{11!}{3!8!} + \frac{11!}{2!9!} + \frac{11!}{10!1!} + \frac{11!}{0!11!} = 232[/tex]
He has 232 choices.
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What is the polynomial function from the graph
Step-by-step explanation:
According to the graph, the function has
5 roots ⇒ x = - 3, - 2, - 1, 1, 3The function is decreasing so the leading term has negative coefficient.One of the local maximums is approximately (2, 6)The y-intercept is (0, - 1.5)The coefficient is going to be:
- 1.5 / (3*2*3) = - 1.5/18 = - 1/12One possible option is:
f(x) = - 1/12 (x + 3)(x + 2)(x + 1)(x - 1)(x - 3)See attached
Ellie borrows money at a year simple rate of 6 1/2% after 4 years ellie owes 39 interest
how much money did ellie borrow? show your work you didn't even give us the correct answer.
Answer: Ellie borrowed $150.
Step-by-step explanation:
I = PRT
39 = P x 0.065 x 4
39 = P x 0.26
Divide both sides by 0.26
150 = P
The money Ellie borrows is 150.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given Ellie borrows money at a year simple rate of [tex]6\frac{1}{2}[/tex]%.
After 4 years ellie owes 39 interest
We need to find how much money did ellie borrow.
Let us convert [tex]6\frac{1}{2}[/tex]% to decimal value by dividing with 100
[tex]6\frac{1}{2}[/tex]/100=6.5/100=0.065
Now we have formula for interest
I=PRT
Where I is the interest=39
P is the principle amount which we need to calculate
R is rate of interest=0.065
T is the time in years=4
Plug in these values.
39 = P x 0.065 x 4
39 = P x 0.26
Divide both sides by 0.26
150 = P
Hence, the money Ellie borrows is 150.
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Please help me with this
Answer:
The first option is correct
Step by step solution:
[tex]\\ \frac {\frac{4x^{2} + 2x}{ {x}^{2} + x - 2 } }{ \frac{8 {x}^{2} + 4x }{3 {x}^{2} +10x + 8 } }[/tex]
[tex] \\ = \frac{(4 {x}^{2} + 2x)(3 {x}^{2} + 10x + 8) }{( {x}^{2} + x - 2)(8 {x}^{2} + 4x) } [/tex]
[tex] \\ = \frac{3x + 4}{2x - 2} [/tex]
[tex] \\ = \frac{3x + 4}{2(x - 1)} [/tex]
Triangle FGH is similar to triangle A B C
Answer:
x is 12
Step-by-step explanation:
» From scalar properties:
[tex]{ \tt{ \frac{FG}{FH} = \frac{AB}{AC} }} \\ \\ { \tt{ \frac{9}{6} = \frac{18}{x} }} \\ \\ { \tt{x = \frac{18 \times 6}{9} }} \\ \\ { \boxed{ \tt{ \: x = 12 \: }}}[/tex]
Hillary earns $60 per week at her job, plus $2 for each item she sells. She wants to
earn at least $300 per week. Write an inequality to represent how many items, x, Hilary
must sell.
Answer:
60+2x≥300
Step-by-step explanation:
So we know that she makes a base of $60 a week and gets $2 extra for every item she sells. First, we set up an equation for how many items she would have to sell to make exactly $300 in a week. 60+2x=300. Now, all we do is replace the equal sign with a ≥ sign because it says at least which means more than or equal to.
Answer:
120 items
Step-by-step explanation:
60+2x=300
-60. -60
2x=240
2. 2
x=120
A play court on the school playground is in the shape of a square joined to a semicircle. The radius of
the semicircle is 20 feet. What is the perimeter of the play court? Use 3.14 as an approximation for π.
Answer:
Square side=40ft
Semi-circle diameter=39.98ft
Area of court=2276.69 ft^2
Step-by-step explanation:
The square section has a semicircle joined to it and the combined perimeter is 182.8 ft.
-Area of the square section is obtained by subtracting that of the semicircle from the total(only 3 sides of the square is used since one side is attached to the semi-circle)
Hence, the square's sides has the dimension of 40 ft.
The semi-circle's diameter is calculated as:
Hence, the semi-circle's diameter is 39.98 ft
The area of the court is calculated as:
The court's area is 2,227.69 ft^2
After simplifying, which expressions are equivalent? Select three options. (3. 4a – 1. 7b) (2. 5a – 3. 9b) (2. 5a 1. 6b) (3. 4a 4b) (–3. 9b a) (–1. 7b 4. 9a) –0. 4b (6b – 5. 9a) 5. 9a – 5. 6b.
a, c and e are equivalent.
PolynomialPolynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.
Given
a. (3.4a – 1.7b) + (2.5a – 3.9b)
b. (2.5a + 1.6b) + (3.4a + 4b)
c. (–3.9b + a) + (–1.7b + 4.9a)
d. (–0.4b) + (6b – 5.9a)
e. (5.9a – 5.6b)
To findThe addition of the given polynomial.
How to find it?Add a term with a and b term with b.
a. (3.4a – 1.7b) + (2.5a – 3.9b)
3.4a - 1.7b + 2.5a -3.9b
5.9a - 5.6b
b. (2.5a + 1.6b) + (3.4a + 4b)
2.5a + 1.6b + 3.4a + 4b
5.9a + 4.6b
c. (–3.9b + a) + (–1.7b + 4.9a)
-3.9b + a - 1.7b + 4.9a
5.9a - 5.6b
d. (–0.4b) + (6b – 5.9a)
-0.4b + 6b - 5.9a
-5.9a + 5.6b
e. (5.9a – 5.6b)
5.9a - 5.6b
Thus, a, c, and e are equivalent.
Mor about the polynomial link is given below.
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