Answer:
(- 3, - 7 )
Step-by-step explanation:
Given the 2 equations
y = 4x + 5 → (1)
y = x - 4 → (2)
Substitute y = 4x + 5 into (2)
4x + 5 = x - 4 ( subtract x from both sides )
3x + 5 = - 4 ( subtract 5 from both sides )
3x = - 9 ( divide both sides by 3 )
x = - 3
Substitute x = - 3 into either of the 2 equations and evaluate for y
Substituting into (2)
y = x - 4 = - 3 - 4 = - 7
solution is (- 3, - 7 )
If the first three Fibonacci numbers are given as x, = 1, X2 = 1 and x3 = 2,
what is the value of n for which X, + Xp = 55?
Answer:
n=8
Step-by-step explanation:
Calculate the circumference of the circles with the following dimensions.
C-circumference
D-diameter
R-radius
P-3.14
1.
D= 4 in
D= 6 in
D=12 in
2.
R= 2 ft
R= 14 ft
R= 12 ft
3.
R= 9 ft
R= 11 ft
R= 7 ft
4.
D= 10 ft
R= 9 ft
D= 13 ft
Answer:
BELOW
Step-by-step explanation:
1) C= PD so
a) 12.56
b) 18.84
c) 37.68
2) C=2PR so
a) 2*3.14*2= 12.56
b) 2*3.14*14= 87.92
c) 2*3.14*12= 75.36
3) C=2PR so
a) 56.52
b) 69.08
c) 43.96
4)
a) 31.4
b) 56.52
c) 40.82
HELP!!!
f(x) =x^2. What is g(x)?
Answer:
C. g(x) = 4x²
Step-by-step explanation:
we have one specific point on g(x) : (1,4)
so, for x=1 the functional value (y) has to be 4.
A. (4×1)² = 4² = 16 and not 4. => wrong
B. 1/4 × 1² = 1/4 and not 4. => wrong
C. 4×1² = 4 and that IS 4 => correct
D. 16×1² = 16 and not 4 => wrong
Answer fast please :( Kristy wants to know what the probability is that a card drawn randomly from a deck will be a club her sample space includes all 52 cards in a standard deck which of these outcomes compose the event
Answer:
.25
Step-by-step explanation:
there are 13 clubs
13/52= 1/4
Un león, al ver correr un grupo de venados ¡exclamó!: "Adiós, mis cien venados", a lo cual los venados contestaron: "Estás equivocado, señor león. Con nosotros, otros tantos, la mitad de nosotros, la cuarta parte de nosotros y tú, señor león, somos 100". Cuántos venados van en el grupo? ( Utilice una ecuación de primer grado)
Answer:
Hay 56 venados en el grupo.
Step-by-step explanation:
En primer lugar, debemos traducir la proposición (oración) en una expresión matemática:
"Estás equivocado, señor león. Con nosotros, otros tantos, la mitad de nosotros, la cuarta parte de nosotros y tú, señor león, somos 100"
[tex]x + \frac{x}{2} + \frac{x}{4} + 1 = 100[/tex]
[tex]\frac{3\cdot x}{2} + \frac{x}{4} = 99[/tex]
[tex]\frac{7\cdot x}{4} = 99[/tex]
Donde [tex]x[/tex] es el número de venados.
[tex]x = 56.571[/tex]
Puesto que la cantidad de venados es un número entero, debemos truncar al entero más cercano. Es decir:
[tex]x = 56[/tex]
Hay 56 venados en el grupo.
The drama club is running a lemonade stand to raise money for its new production. A local grocery store
donated cans of lemonade and bottles of water. Cans of lemonade sell for $2.50 each and bottles of water
sell for $1.25 each. The club needs to raise at least $600 to cover the cost of renting costumes. The students
can accept a maximum of 460 cans and bottles.
Write a system of inequalities that can be used to represent this situation.
The club sells 144 cans of lemonade. What is the least number of bottles of water that must be sold to cover
the cost of renting costumes? Justify your answer.
Answer:
Part A
x + y ≤ 460...(1)
2.5·x + 1.25·y ≥ 600...(2)
Part B
The number of bottles of water the student must sell ≥ 192 bottles of water
Step-by-step explanation:
The given parameters are;
The selling price of each can of lemonade = $2.50
The selling price of each bottle of water = $1.25
The amount of money the club needs to raise = $600
The maximum number of cans and bottles the students can accept = 460
Part A
Let 'x' represent the number of cans of lemonade the students accept, and let 'y' represent the number of bottles the student accept, the system of inequalities that can be used to represent the situation can be presented as follows;
x + y ≤ 460...(1)
2.5·x + 1.25·y ≥ 600...(2)
Part B
The number of cans of lemonade the club sells, x = 144
The number of bottles of water the student must sell to cover the cost of costumes, 'y', is given from the second inequality as follows;
2.5 × 144 + 1.25·y ≥ 600
1.25·y ≥ 600 - 2.5 × 144 = 240
1.25·y ≥ 240
y ≥ 240/1.25 = 192
y ≥ 192
The number of bottles of water the student must sell = 192 bottles of water
I need help with this plz
Answer:
[tex]x^{15}[/tex]
Step-by-step explanation:
Distribute the ^3 on top
(27 [tex]x^{6}[/tex] [tex]y^{-9}[/tex])
distribute the ^ -9 on bottom, only to what is in the parenthesis
(27 [tex]x^{-9}[/tex] [tex]y^{-9}[/tex])
the 27's cross out, the [tex]y^{-9}[/tex] 's cross out
[tex]x^{6}[/tex]/ [tex]x^{-9}[/tex] is left
move the [tex]x^{-9}[/tex] to the top of fraction to change its sign
[tex]x^{6}[/tex] · [tex]x^{9}[/tex] = [tex]x^{15}[/tex]
Topic: Modeling exponential functions
Kathy plans to purchase a car that depreciates
(loses value) at a rate of 14% per year. The initial
cost of the car is $21,000. Which equation
represents the value, v, of the car after 3 years?
1) v = 21,000(0.14)
2) v = 21,000(0.86)
3) v= 21,000(1.14)
4) v= 21,000(0.86)(3)
Answer:
Step-by-step explanation:
The standard form equation for this type of problem is
[tex]y=a(b)^x[/tex] where a is the initial value, b is the rate of depreciation, and x is the number of years in question. Because the value of the car is going down, b can also be written as (1 - r) where r is the rate of depreciation. For us, then, the equation will look like this:
[tex]y=a(1-r)^x[/tex] and filling in:
[tex]y=21000(1-.14)^3[/tex] which in simplified form is
[tex]y=21000(.86)^3[/tex] which I'm assuming is how choice 4 should look.
Of the $77.84 direct-deposited from Problem 3, you have 50% placed into a savings account. How much is deposited in the saving account each month?
Answer:
38.92 dollars
Step-by-step explanation:
NEED AN ANSWER ASAP
a linear piecewise function is represented by the graph. use the graph to evaluate the function.
when x = -5, y = ___
a) -5
b) 3
c) 5
when x = –1, y = ___
a) -2
b) 1
c) 3
When x = 3, y = ___
a) -4
b) 1
c) 3
Step-by-step explanation:
When X is - 5 then y is 3
When X is-1 then y is - 2
When X is 3 then y is -4
From the graph we get, when x is - 5 then y is 3, when x is -1 then y is - 2, and when x is 3 then y is -4.
What is a point?A point is a dot in space used to indicate an exact location in space.
Consider the first line, which has constant y values. its x value ranges from -1 to negative infinity.
The second line is starts from (-1,-2) point and tend towards positive infinity but its y values and x values are varying.
Hence, when x = -5 y is 3 and at x = -1 the y values is -2. Similarly, when x = 3 then y = -4.
To learn more about point, use the link given below:
https://brainly.com/question/1590611
#SPJ2
Students are asked to estimate the number of gumballs in a jar. Sam says there are 228 gumballs. In actuality, there are 240 gumballs. What is the percent error
Answer:
5%
Step-by-step explanation:
Percent error = (actual - estimated) / actual x 100
(240 - 228) / 240 x 100 = 5%
Which inequality can be used to explain why these
three segments cannot be used to construct a triangle?
Answer:
Iliana cannot construct a triangle because the sum of the two smaller sides will not be greater than the third side.
Prove that A - B = A-(A n B) using a Venn diagram
Step-by-step explanation:
my answer is an image above
How do I solve for x?
Trong k gian vecto R^3 , cho hệ B={u(2,1,-1),v=(3,2,5) , w=(1,-1,m)} a)xác định giá trị m để B là một cơ sở k gian R^3
Answer:
Dhhdhdhgdgdgd djjdhdhdhfh dbdjhdhfv djjdhfhhb is a hdhdh yhvggfff tghrh9
PLEASE ANSWER ASAP :"( I need to submit the homework and i dont understand how to do the solution
p/s PLEASE READ THIS pls ignore the another language just read the english one..
Answer:
x -2 -1 0 1
y -1 2 5 8
Step-by-step explanation:
y=3x+5
When x=-2
y=3(-2)+5
y=-6+5
y=-1
when x=-1
y=3(-1)+5
y=-3+5
y=2
whenx=0
y=3(0)+5
y=5
When x=1
y=3(1)+5
y=3+5
y=8
pleaae help me solve this 61/2×(8/9÷13/18)+(3/4) of 31/5
Answer:
[tex]10 \frac{2}{5}[/tex]
Step-by-step explanation:
Using BODMAS
[tex]6\frac{1}{2} \times (\frac{8}{9} \div\frac{13}{18}) + ( \frac{3}{4} )\ of \ 3\frac{1}{5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ solving \ expression \ inside \ bracket \ ]\\\\\frac{13}{2} \times (\frac{8}{9} \times \frac{18}{13}) + (\frac{3}{4}) \ of \ \frac{16}{5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ \frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} \ ]\\\\\frac{13}{2} \times (\frac{16}{13}) + (\frac{3}{4}) \ of \frac{16}{5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ solving \ of \ ] \\\\[/tex]
[tex]\frac{13}{2} \times (\frac{16}{13} ) + (\frac{3}{4} \times \frac{16}{5} )\\\\\frac{13}{2} \times (\frac{16}{13} ) + \frac{12}{5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\ solving \ \times \ expressions \ ] \\\\(\frac{13}{2} \times \frac{16}{13}) + \frac{12}{5}\\\\8 + \frac{12}{5}\\\\\frac{40 + 12}{5}\\\\\frac{52}{5}\\\\10\frac{2}{5}[/tex]
Susana has a budget for school stationery of $33, but has already spent 19.10 on books and folders. Let p represent the amount that Susana can spend on other stationery. Write an inequality that shows how much she can spend on other stationery, and solve for p.
Answer: $13.90
Step-by-step explanation:
Since Susana has a budget for school stationery of $33, but has already spent $19.10 on books and folders, the inequality that shows how much she can spend on other stationery, will be represented by:
p + $19.10 = $33
p = $33 - $19.10
The inequality is p = $33 - $19.10
Then, the amount that she can spend on other stationery will be:
P = $33 - $19.10
P = $13.90
She can spend $13.90 on other stationary
xy + x3 ( That 3 is cube )
In the diagram below of triangle MNO, P is the midpoint of MO and Q is the midpoint of NO. If PQ = 5x + 62, and MN = 6x-4, what is the measure of PQ?
Answer:
29
Step-by-step explanation:
There is a triangle embedded in triangle MNO, which is triangle PQO, and these are similar triangles in that their corresponding sides are always in the same ratio, which in this case is 2:1, as MP = MO due to the midpoint definition, and therefore MO is twice as long as MP. Same for NO and QO.
Now that we know the ratio, we can set 6x-4 = 2(-5x+64)
6x-4 = -10x +108
16x = 112
x = 7
Plug x back in for PQ, -5(7)+64 = 29
The measure of PQ is 22 units.
What is mid point theorem?A triangle's third side is stated to be parallel to the line segment uniting its two midpoints, and it is also half as long as the third side.
Given:
PQ = 5x + 62, and MN = 6x-4
Now, using Mid- Point Theorem
PQ= 1/2 MN
-5x+ 62 = 1/2( 6x - 4)
-5x+ 62 = 3x - 2
-5x- 3x = -2 - 62
-8x = -64
x= 8
and, PQ= 5x+ 62 = -5(8) + 62 = -40 + 62 = 22
Hence, the measure of PQ is 22 units.
Learn more about mid point theorem here:
https://brainly.com/question/13677972
#SPJ2
Condense the expression into a
single logarithm and simplify.
2log10x + + log105
Answer:
log10( 5x^2)
Step-by-step explanation:
2 log10 (x) + log10 (5)
we know that c loga (b) = log a (b^c)
log10 x^2 + log10 (5)
We also know that logc a + logc b = logc (ab)
log10 (x^2* 5)
log10( 5x^2)
The ordered pairs (6,8), (9, 12), (x, 20), (18, y) represent a proportional relationship. Find the value of X and the value of Y. Select the two correct answers.
Answer:
x=15 y=24
Step-by-step explanation:
This is because the rule is x goes up 3 y goes up 4
(9,12)->(x,20)
it skips one, so instead of adding 3 we add six
x=15
(15,20)->(18,y)
you follow the rule and 4.
Y=24
Please hurry i want the answer of this question please
[tex]\displaystyle\bf 1200=12*100=3*4*(2*5)^2=3*2^2*2^2*5^2=2^4*3^1*5^2 \\\\Answer: \boxed{ A)\quad a=4 \quad ; \quad b=1 \quad ; \quad c=2}[/tex]
find the profit on 6000 for one year at 4% per annum
Answer:
240 dollars.
Step-by-step explanation:
I'd be assuming you mean the returns on interest rate after you put $6000 into the system, kind of like how you get returns after you deposit money at the bank. In that case:
[tex]6000 \cdot (1 + 4%) - 6000[/tex]
[tex]= 6240 - 6000[/tex]
[tex]= 240[/tex] dollars
Of course, you didn't say how frequently the interest rate would be compounded, so this result would be if the interest was compounded yearly.
Hope this helped!
Answer:
$240
Step-by-step explanation:
4% of $6000 = $240
if f(x)=2x+1 and g(x)=x^2-7 find (f/g)(x)
Step-by-step explanation:
f(x)=2x+1 and g(x)=x²-7
(f/g)(x) = (2x+1)/(x²-7)
Answer:
pls answer my questions plsss
Surf Shack rents boards to beach goers. Each boogie board, b, rents for $5 per day and each surfboard, s, rents for $10 per day. On Tuesday, they rent out a total of 14 boards and have an income of $80. Write two equations relating boogie boards, b, and surfboards, s.
Answer:
b + s = 14
5b + 10s = 80
Step-by-step explanation:
Answer:
b + s = 14
$5b + $10s = $80
Step-by-step explanation:
the sum of boogie board and surfboard rented is 14
boogie board rented + surfboard rented = 14
b + s = 14 equation 1
total income derived from renting the two types of boards is $80
total income derived = total income derived from renting boogie boards + total income derived from renting surfboards
total income derived from renting boogie boards = cost of renting one boogie board x number of boogie boards rented
= $5 x b = 5b
total income derived from renting surfboards = cost of renting one surfboard x number of surfboards rented
= $10 x s = 10s
80 = 5b + 10s equation 2
What is the surface area of LMNOPQRS? If necessary, round your answer to the nearest tenth.
Answer:
5
Step-by-step explanation:
What is the factorization of 49b2 − 81?
(7b – 9)(7b – 9)
(7b – 9)(7b + 9)
(7b2 – 9)(7b2 – 9)
(7b2 – 9)(7b2 + 9)
Answer:
B. (7b – 9)(7b + 9)
Step-by-step explanation:
got 100% on my quiz
Josie is purchasing a $75 appliance for her kitchen. She has three coupons to the store that she can choose from. Which is a true statement about Josie’s options?
Answer:
where are the answer choices?
Step-by-step explanation:
Solve (x + 9)2 = 25.
Answer:
x=3.5
Step-by-step explanation:
25÷2=12.5
12.5-9=3.5
Answer:
7/5 or 3.5
Step-by-step explanation:
2 (x+9) =25
x+9 = 25/2
x = (25/2) - 9
x = 7/2 in decimal = 3.5
