Answer:
The solution of the system is (9,-8)
Step-by-step explanation:
2x+2y=2
3x-2y= 43
5x = 45
x = 9
2(9) + 2y = 2
18 + 2y = 2
2y = -16
y = -8
jules has rectangular garden that measures 10feet by 12feet . he wants to plant apples in his garden . his uncle said that one seed packet will be enough to fill in a space 40 square feet will jules garden have enough space to plant 3 seed
Answer:
Yes
Step-by-step explanation:
If the garden is 1O by 12 feet then the entire area is 120 feet. If one seed packet needs 40 feet then there will have to be 120 feet to have enough space for all three.
120 = 120, so Jules has enough space.
Stay safe! <3
If f(x)=x^3-12x^2+35x-24f(x)=x 3 −12x 2 +35x−24 and f(8)=0f(8)=0, then find all of the zeros of f(x)f(x) algebraically.
Answer:
The zeros of f(x) are: (x - 1), (x - 3) and (x - 8)
Step-by-step explanation:
Given
[tex]f(x)=x^3-12x^2+35x-24[/tex]
[tex]f(8) = 0[/tex]
Required
Find all zeros of the f(x)
If [tex]f(8) = 0[/tex] then:
[tex]x = 8[/tex]
And [tex]x - 8[/tex] is a factor
Divide f(x) by x - 8
[tex]\frac{f(x)}{x - 8} = \frac{x^3-12x^2+35x-24}{x - 8}[/tex]
Expand the numerator
[tex]\frac{f(x)}{x - 8} = \frac{x^3 - 4x^2 -8x^2 + 3x + 32x - 24}{x - 8}[/tex]
Rewrite as:
[tex]\frac{f(x)}{x - 8} = \frac{x^3 - 4x^2 + 3x - 8x^2 +32x - 24}{x - 8}[/tex]
Factorize
[tex]\frac{f(x)}{x - 8} = \frac{(x^2 - 4x + 3)(x - 8)}{x - 8}[/tex]
Expand
[tex]\frac{f(x)}{x - 8} = \frac{(x^2 -x - 3x + 3)(x - 8)}{x - 8}[/tex]
Factorize
[tex]\frac{f(x)}{x - 8} = \frac{(x - 1)(x - 3)(x - 8)}{x - 8}[/tex]
[tex]\frac{f(x)}{x - 8} = (x - 1)(x - 3)[/tex]
Multiply both sides by x - 8
[tex]f(x) = (x - 1)(x - 3)(x - 8)[/tex]
Hence, the zeros of f(x) are: (x - 1), (x - 3) and (x - 8)
PLEASE URGENTLY ANSWER THESE 2 QUESTIONS, I WILL PROVIDE MORE POINTS AND CROWN YOU BRAINLIEST IF YOU DO!!!
-
Use a virtual dice roller or a physical die to roll a die 60 times. record your results in the table below:
Number-----Frequency
1----------------------15
2---------------------13
3---------------------5
4---------------------9
5---------------------8
6---------------------10
What is the proportion of times did you roll a 1? (Already answered)
15 Times (This will be your value of p-hat)
1. Say you want to analyze how likely it is that you rolled the proportion of 1s that you did. Would it be appropriate to use a normal model to figure this out? why or why not?
2. Find the probability that the proportion of 1s that you rolled is less than your value of p-hat. Interpret what you find in context.
Answer:
1. I would think it would be a appropriate to use a normal model to figure this out because sometimes when you are using stuff online you can get the same number like 20 times in a row, whereas, if you use a real dice, you most likely won't roll the same number 20 times.
2. { sorry two doesn't make sense }
R is a supplement of S, S is a complement of T, and mT = 72º . Find mR – mS.
Step-by-step explanation:
complementary angle is 90 degrees
so angle t and s are complementary
measure of angle t is 72 degrees
so measure of angle s will be 90 degrees minus 72 degrees which gives 18 degrees
so measure of angle s is 18 degrees
angle r and angle s are supplement which means their sum is 180 degrees
so measure of angle r will be 180 minus 18 which gives 162
so measure of angle r is 162 degrees
we need to find measure.of angle r minus measure.of angle s
so 162 minus 18 which gives 14r
Help PLZ WILL GIVE BRAINLIEST!!!! What is the value of x?
4
42√
8
82√
Answer:
g
Step-by-step explanation:
Jill can run 5 miles in 45 minutes. If she keeps the same pace, how long will it take her to run 18 miles?
Answer:
T = 162 minutes
Step-by-step explanation:
Given that,
Jill can run 5 miles in 45 minutes.
We need to find how long will it take her to run 18 miles.
[tex]5\ miles =45\ minutes\\\\1\ mile=(\dfrac{45}{5})\ minute\\\\1\ mile =9\ minute[/tex]
So,
18 miles = (18×9) minutes
= 162 minutes
Hence, 162 minutes will be taken by her to run 162 minutes.
can you please help me with this question
Answer:
your answer will be 1
Step-by-step explanation:
[tex]Tan (-135)\\\\=-Tan 135\\\\-Tan(90+45)\\\\-(-co+45)\\\\+co+45\\\\=1[/tex]
hope it helps
Plz help ASAP!! Alg. 1 question below
A
Its the first equation.
Answer:
x+y-5=0
Step-by-step explanation:
Is 7 asolution for the equation 2x + 12=3x +(-2x + 5)
Answer:
No
Step-by-step explanation:
2X + 12=13x - 2x + 5
2X + 12= 11x+5
2x-11x = 5-12
-9x = -7
X = 7/9
so the answer is NO
PLEASE HELP!! desperate!
Solve this;
The value of x in the expression
2x/3 - 7 = 5 is
Answer:
The answer is X = 18
Step-by-step explanation:
2x/3 - 7 = 5
Multiply both sides if the equation by 3 : 2x - 21 = 15
Move the constant to the right hand side and change its sign : 2x = 15 + 21
Calculate 2x = 15 + 21
2x = 36
Divide both sides of the eqaution by 2 : 2x = 36
x = 18
Answer X = 18
Parallel lines cut by a transversal...I need X, no decimals.
(Hint: The answer is either 9 or 26)
Answer:
x = 26
Step-by-step explanation:
These angles are equal b/c of alt exterior angles
9x + 18 = 10x - 8
9x - 10x = -8 - 18
-x = -26
x = 26
When randy works 5 hours as a baseball umpire. he earns $77.50. when he works 18 hours, he earns $279.00. which equation represents randy’s earnings(m) for any number of hours(h)?
Answer:
m=15.5h
Step-by-step explanation:
279 divided by 18 and 77.5 divided by 5 equal 15.5 so that is how much randy gets paid per hour (h)
Answer:
h(15.50)=m
Step-by-step explanation:
He earns 15.50 dollar per hour
77.50/5=15.5
279/18=15.5
find area of circle
Answer: 75 ft^2
Step-by-step explanation:
Radius is half of the diameter. Diameter is given as 10.
3 (5)^2
3 x 25 = 75 ft^2
Please help :) I’m really in need of assistance and would appreciate it.
Answer:
[tex]D) 0.5x^3y + 4x^2 y^2 - 2xy^3[/tex]
Step-by-step explanation:
Set up an equation to model the situation,
[tex](-0.5xy)(x^2 + 8xy - 4y^2)[/tex]
Distribute, multiply each term in the parenthesis with the term outside of the parenthesis. Don't forget the laws of exponents, when one multiplies two exponents, with the same base, then one adds the two exponents. A number with no exponential term is two the first degree meaning that it is to the power of one.
[tex]-0.5x^3 y - 4x^2 y^2 + 2xy^3[/tex]
The costs of general admission and student tickets to a high school football game are $7 and $4 respectively. The ticket sales for one game totaled $11,200. Write an equation which models the situation.
Answer:
7x + 4y = 11,200
Step-by-step explanation:
Let
Number of Admission tickets A = x
Number of Admission tickets B = y
Cost of Admission tickets A = $7
Cost of Admission tickets B = $4
Total cost = $11,200
The equation is:
7x + 4y = 11,200
Is a triangle with two 45 degree angles unique
Answer:
No. It's just a 90° angle.
Step-by-step explanation:
Ms. Fox bought a car for $8000 that depreciates at a rate of 11% a year. Write an equation to model the car’s worth and use it to determine how much the car is worth after 5 years. (Round to the nearest cent)
An
Step-by-step explanation:
If the perimeter of a rectangle garden with a width of 15 is 125, what is the perimeter of the daily record it if the scale factor is 60%
Answer:
(here i assume that the daily record is another rectangle)
For a rectangle with width W and length L, the perimeter is:
P = 2*W + 2*L
in this case we know that:
P = 125
W = 15
Replacing these in the perimeter equation we get:
125 = 2*15 + 2*L
125 = 30 + 2*L
125 - 30 = 2*L
95 = 2*L
95/2 = L = 47.5
Now we know that the daily record has a scale factor of 60%.
This means that each measure of this rectangle is (60%/100%) times the equivalent measure of the rectangle garden.
Then if the width of the daily record is W' and the length of the daily record is L'
This means that:
L' = (60%/100%)*L = 0.6*L = 0.6*47.5
W' = (60%/100%)*W = 0.6*W = 0.6*15
Then the perimeter is:
P' = 2*0.6*47.5 + 2*0.6*15 = 75
(notice that is exactly the same than multiplying the original perimeter by (60%/100%) = 0.6)
Area and perimeter pls
Perimeter 97.24
90 + 5 + 2.25
Area 1008
90 * 5 * 2.24 = 1008
2(4a+1)=3a
a=? Help plz
Answer:
a=-0.4
Step-by-step explanation:
2(4a+1)=3a
8a+2 = 3a
5a+2=0
5a=-2
a=-0.4
Answer:
a = -2/5
Step-by-step explanation:
2 (4 [-2/5] + 1) = 3 (-2/5)
2 (-8/5 + 1) = -6/5
2 (-3/5) = -6/5
-6/5 = -6/5
PLEASE I NEED SOMEONE TO HELP MY ASSIGNMENT, DUE IS TOMMOROW. (´;︵;`)
Answer:
Step-by-step explanation:
A) In ΔONE & ΔEST
ON // ST (Construction) and NS is transversal.
∠1 = ∠4 {alternate interior angles}
NE =ES {Given E is midpoint}
∠2 = ∠3 {Vertically opposite angle}
ΔONE ≅ ΔEST { A S A congruent}
OE ≅ TE {CPCT}
ON = ST {CPCT} ---------(I)
ON = OH -----------------(II)
From (I) & (II)
OH = ST & OH // ST (construction)
OHST is a parallelogram.
So, OE // HS -----------------(A)
OE = TE
OT = 2OE
OE = (1/2)OT
OE = (1/2)HS ------------------(B)
From A & B , midpoint theorem is proved
If f(x)= x2 and g(x)= x + 6, find g(fo)).
OA.
-6
OB.
6
O C.
12
OD.
D. 36
Given:
The functions are
[tex]f(x)=x^2[/tex]
[tex]g(x)=x+6[/tex]
To find:
The value of g(f(0)).
Solution:
We have,
[tex]f(x)=x^2[/tex]
Putting x=0, we get
[tex]f(0)=0^2[/tex]
[tex]f(0)=0[/tex]
Now,
[tex]g(f(0))=g(0)[/tex] [tex][\because f(0)=0][/tex]
[tex]g(f(0))=0+6[/tex] [tex][\because g(x)=x+6][/tex]
[tex]g(f(0))=6[/tex]
Therefore, the value of g(f(0)) is 6 and the correct option is B.
What is an equation of the line that passes through the point ( − 1 , − 3 ) and is perpendicular to the line x − 2 y = 14?
Answer:
y = -2 -5
Step-by-step explanation:
x - 2y = 14
-2y = -x + 14
y = 1/2x - 7
-3 = -2 (-1) + b
-3 = 2 + b
-5 = b
y = -2 -5
help me please I'm bad at this
Answer:
39
NOTE: JUST SUBTRACT 45 AND 6
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Have a great day, be safe and healthy
Thank u
XD
*PLEASE ANSWER!!!*
What can you create to help you make a plan on how to spend your money?
a.) A tax form
b.) A deposit
c.) A budget
Answer:
c
Step-by-step explanation:
A budget
hope this helps
Please answer...Easy math
Answer:
[tex] P(A^c) =0.38[/tex]
Step-by-step explanation:
[tex]\because P(A) + P(A^c) = 1 \\ \\ \therefore \: P(A^c) = 1 - P(A) \\ \\ \therefore \: P(A^c) = 1 - 0.62 \\ \\ \therefore \: P(A^c) =0.38[/tex]
Find the value of 3a when a= 6.
Answer:
18
Step-by-step explanation:
a = 6
3a = 6 x 3 = 18
When you see alphabets with numbers at the back like 2, 4 or etc, just multiply them.
Lucy has a total of $25 to spend on her cold cuts for lunch for the week. Turkey costs $6.00 a pound and ham costs $4.50 a pound. Write an equation that Lucy can use to show the total amount of pounds of cold cuts she can buy with her $25. If Lucy bought 2.5 pounds of turkey, how many pounds of ham can she buy?
Answer:
[tex]25=6t+4.5h[/tex]
2 pounds of ham
Step-by-step explanation:
1) Construct an equation
Let [tex]t[/tex] be equal to the number of pounds of turkey.
Let [tex]h[/tex] be equal to the number of pounds of ham.
We know that every pound of turkey costs 6 dollars, so the amount of money Lucy must spend on turkey is [tex]6t[/tex].
We also know that every pound of ham costs 4.50 dollars, so the amount of money Lucy must spend on ham is [tex]4.5h[/tex].
However, because 25 dollars is her budget, [tex]6t[/tex] and [tex]4.5h[/tex] must be equal to 25.
[tex]25=6t+4.5h[/tex]
2) How much ham can Lucy buy if she bought 2.5 pounds of turkey?
[tex]25=6t+4.5h[/tex]
Plug in 2.5 as [tex]t[/tex]
[tex]25=6(2.5)+4.5h\\25=15+4.5h[/tex]
Subtract both sides by 15
[tex]25-15=15+4.5h-15\\10=4.5h[/tex]
Divide both sides by 4.5
[tex]\frac{10}{4.5}=\frac{4.5h}{4.5} \\2.22=h[/tex]
Therefore, Lucy can buy 2 pounds of ham if she bought 2.5 pounds of turkey.
I hope this helps!
Answer:
6x + 4.5y ≤ 25
If Lucy bought 2.5 pounds of turkey, she can buy at most 2.22 pounds of ham.
Step-by-step explanation:
6(2.5) + 4.5y ≤ 25
15 + 4.5y ≤ 25
4.5y ≤ 10
y ≤ 2.22
one angle of a triangle measures 35°. A second angle measures (3x)°, and the third angle measures 2x - 20)°. what is the value of x?
Answer:
x = 33
Step-by-step explanation:
Sum of the angles in a triangle is 180 so,
35 + 3x + 2x - 20 = 180
35 + 5x - 20 = 180
15 + 5x = 180
5x = 180 - 15
x = 165/5
x = 33