Answer:
y= 2.5
x= 3
Step-by-step explanation:
multiply eqn 2 by 5
5x +20y =65
eqn 2 -1
20-2)y=65-20
18y=45
y=2.5
x+4×2.5 =13
x+10=13
x=3
prove that.....sin^4α+2sin^2αcos^2α+cos^4α=1
Step-by-step explanation:
You can actually factorise this equation like how you factorise quadratic equations,
LHS = sin⁴a + 2sin²a cos²a + cos⁴a
= (sin²a + cos²a)²
Again, by using the identity sin²a + cos ²a = 1,
= (1)²
= 1
= RHS (Proven)
What are the solutions to 3( x + 2)(x – 9) = 0
Mark Brainliest if correct:
x = -2, 9
Step-by-step explanation:
x2: x + 2 = 0
x = -2
x1: x - 9 = 0
x = 9
x = -2, 9
Find the value of a.
A jazz band wants to sell $6,558 worth of tickets. If each ticket costs $6, how many tickets will the band have to sell to meet its goal?
Answer:
1093 tickets
Step-by-step explanation:
Take the total amount and divide by the amount per ticket to determine the number of tickets
6558/6
1093 tickets
Answer:
The band have to sell 1093 Ticket to meet its goal
Step-by-step explanation:
Total cost = $6,558
Per Ticket cost =$6
formula:
No of Tickets = Total cost of Ticket ÷ Per Ticket Cost
= 6558 ÷ 6
No of Tickets = 1093
Check:
Total Cost = No of Ticket × Per ticket cost
= 1093 × 6
Total Cost =$6558
A gray crayon is made with 5 mL of black wax for every 6 mL of white wax
Which of the following wax mixtures will create the same shade of gray?
choose 2 answers:
A 10 mL of black wax mixed with 24 mL of white wax
B 15 mL of black wax mixed with 18 mL of white wax
C 35 mL, of black wax mixed with 42 mL of white wax
D 20 mL of black wax mixed with 26 mL of white wax
E 45 mL of black wax mixed with 48 mL of white wax
Answer:
B and C
Step-by-step explanation:
The ratio of black to white is 5:6
The only mixtures that have this ratio is B and C
The distributive property can be applied to which expression to factor 12x3 – 9x2 + 4x – 3?
3(4x3– 1) – (9x2 + 4x)
4x(3x2 + 1) – 3(3x2 – 1)
3x(4x – 3) – (3+ 4x)
3x2(4x – 3) + 1(4x – 3)
IM ON EDGE
Answer:
12x^3-9x^2+4x-3
3(4x^3-1)-(9x^2+4x)
therefore option A is right
thank you, and mark it as brainliest if u find it useful
Which equation represents a line which is perpendicular to I = 0?
y = 2
-
3
O x = -4y
Submit Answer
2= 5
o
y = -6
PLS HELP ASAP
Please Help!!
Write an absolute value equation that has the solutions x = -10 and x = -5.
The equation is:_____
Answer:
x=-10
x=-5
-10+-5=15
Step-by-step explanation:
answer 15
Se forman varios triángulos con fósforo uno después de otro escribe una expresión numérica que representa el número de fósforo según el número de triángulos
La expresión numérica que representa el número de fósforos según el número de triángulos es: x=2n+1
Vamos a suponer que los triángulos se disponen de la manera mostrada en el diagrama (ver diagrama adjunto)
Cuando se construye el primer triángulo vamos a necesitar de 3 fósforos.Cuando se construye el segundo triángulo vamos a necesitar de 2 fósforos adicionales por lo que obtenemos 3+2=5 fósforos.Cuando se construye el tercer triángulo, se necesitan 2 fósforos adicionales, por lo que obtenemos 3+2+2=7Cuando se construye el cuarto triángulo se necesitan 2 fósforos adicionales y tenemos 3+2+2+2=9En este caso vamos viendo un patrón, por cada nuevo triángulo vamos necesitando dos fósforos adicionales.
Cuando tenemos varios números que presentan un patrón y el patrón es que la distancia entre dos números consecutivos es la misma, entonces estamos hablando de una secuencia aritmética. Las secuencias aritméticas tienen la forma general:[tex]x_{n}=a+d(n-1)[/tex]
En este caso vamos a definir dos variables:
x = número de fósforos
n = número de triángulos
El patrón que vimos arriba se puede escribir de la siguiente manera:
x=3+2n
pero mucho ojo, esta fórmula es válida únicamente si empezamos a contar de n=1 triángulo adicional (osea cuando tenemos 2 triángulos). Si usamos n=1 obtenemos:
x=3+2(1)=5 (el cual es el resultado para 2 triángulos, no 1)
Esto se puede arreglar restándole un 1 a la x para que de esa forma, la fórmula sea válida cuando usamos x=1 triángulo, así que obtenemos:
x=3+2(n-1)
(Esta es la forma general de una secuencia aritmética.)
Ahora bien, esta fórmula puede ser simplificada usando álgebra, así que obtenemos:
n=3+2x-2
lo cual nos da:
n=2x+1
por lo que la expresión numérica que representa el número de fósforos según el número de triángulos es: n=2x+1
Puedes encontrar más información sobre secuencias aritméticas en el siguiente enlace:
https://brainly.com/question/15456604?referrer=searchResults
plllllzzzzzzzz hellllllllpppp again...lol
Answer:
34
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles
71 = z+37
Subtract 37 from each side
71 -37 =z
34 =z
Step-by-step explanation:
[tex]thank \: you[/tex]
please help me with question2 someone, thanks
Answer:
Step-by-step explanation:
[tex]\frac{3x-y}{4x+5y}=\frac{3}{5}\\\\[/tex]
Cross multiply
5*(3x-y) = 3*(4x + 5y)
5*3x -5*y = 3*4x + 3*5y
15x - 5y = 12x + 15y
15x - 12x = 15y + 5y
3x = 20y
3x = 4y * 5
[tex]\frac{3x}{4y} = 5[/tex]
Michael has a substantial student debt, but he recently got a new job, which came with a signing bonus. He calculates that with his new job, he can put aside a fixed amount of money every month to pay off his debt. He also puts the entirety of his bonus towards paying off his debt. He constructs the expression 35900 (3000 + 400m) to represent the size of his debt after m months. Which number describes the value of his signing bonus?
Answer:
Step-by-step explanation:
square root of 3x^4 times square root of 5x^2 times square root of 10.
Multiply and remove all perfect squares from inside the square roots. Assume x is positive.
Answer:
[tex]5x^3\sqrt{6}[/tex]
Step-by-step explanation:
We need to simplify
[tex]\sqrt{3x^4}\times\sqrt{5x^2}\times\sqrt{10}[/tex]
Right away we can take out the perfect squares. Remember a perfect square is the result of multiplying any value by itself.
[tex]= x^2\sqrt{3}\times x\sqrt{5}\times\sqrt{10} \\= x^3\sqrt{3\times 5 \times 10}\\= x^3\sqrt{3 \times 5 \times 5 \times 2 }\\= 5x^3\sqrt{6}[/tex]
The square root of 3x⁴ times square root of 5x² times square root of 10, the product of all the term is, 5x³ [tex]\sqrt{6}[/tex]
What is square root?In mathematics, square roots is a concept in which, if we multiply square roots of any number by itself then it will give us an original number.
if 'a' is square root of 'b' then it will represent as, a = √b.
Given that,
three terms,
[tex]\sqrt3{x^{4} }[/tex]
[tex]\sqrt{5x^{2} }[/tex]
[tex]\sqrt{10}[/tex]
by multiplying all the three terms,
⇒ [tex]\sqrt3{x^{4} }[/tex] × [tex]\sqrt{5x^{2} }[/tex] × [tex]\sqrt10} }[/tex]
⇒ √(3x⁴×5x²10)
⇒ √ 150x⁶
⇒ 5x³ [tex]\sqrt{6}[/tex]
Hence, the product is 5x³ [tex]\sqrt{6}[/tex]
To know more about square root check:
https://brainly.com/question/29286039
#SPJ2
x^2 +12x +36=0
-------
Answer:
x = -6
Step-by-step explanation:
x^2 +12x +36=0
What 2 numbers multiply to 36 and add to 12
6*6 = 36
6+6 = 12
(x+6) (x+6) = 0
Using the zero product property
x+6 = 0 x+6 =0
x=-6 x=-6
Since they are the same we only list the solution once
Answer:
[tex]-6[/tex]
Step-by-step explanation;
[tex]x^{2} +12x+36=0[/tex]
Comparing with ax² +bx² + c=0
where a =1 , b=12, and c= 36
[tex]x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
substituting the values of a, b, and c to find the value of x
[tex]x=\frac{-12\pm \sqrt{12^2-4\cdot \:1\cdot \:36}}{2\cdot \:1}[/tex]
[tex]x=\frac{-12+,-\sqrt{144-144} }{2}[/tex]
[tex]x=\frac{-12+,-0}{2} =-6[/tex]
OAmalOHopeO
A deposited 7500 Dollars in a bank and received interest of 900 Dollars after one year. B received interest of 1440 Dollars after one year at the same rate. How much did B deposit in the bank?
Answer:
If the rate of interest is 12% than the answer is 12000
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
PLEASE HELP IM ON A TIMER: I WILL GIVE 5 STARS AND BRAINLIEST!!
f) Create a residual plot for your data.
13.8 1.42
18 3.7
16.7 3.21
18 4
0.7 1.11
21.9 3.69
18 3.8
18 4
19.7 3.5
16.7 3.21
g) Does your residual plot show that the linear model from the regression calculator is a good model? Explain your reasoning.
a) Using your equation from step 2d, estimate the GPA of a student who studies for 15 hours a week. Justify your answer.
Answer:
y = 0.1491x + 0.7556
R² = 0.6943
r^2 at .69 ≅ .7 is somewhat strong
y = 0.1491(15) + 0.7556
GPA= 2.2365
Step-by-step explanation:
Write the rules for determining the sign of the product when multiplying integers. Then, write (4 points)
the rules for determining the sign of the quotient when dividing integers. Use your own words
and use complete sentences. Make sure you answer both questions presented in this problem.
I
While multiplying a negative and another negative integer, the product's will be positive. While multiplying a positive and another positive integer, the product will be positive. It means that of the integers have same sign, then their product's sign will be positive. But, if the integers have different signs, i.e., one of them is positive and the other is negative, then the product will have negative sign.
While dividing a negative from another negative integer, the quotient will be positive. While dividing a positive from another positive integer, the quotient will be positive. It means that of the integers have same sign, then their quotient's sign will be positive. But, if the integers have different signs, i.e., one of them is positive and the other is negative, then the quotient will have negative sign.
Answer:
if the signs are the same the result is POSITIVE, if the signs are not the same the result is negative
Step-by-step explanation:
What is the complete factorization of What is the complete factorization of 5x2 − 11x − 12?
Answer:
(x-3)(5x+4)
x=3 x=-4/5
Answer:
(5x + 4)(x - 3)
Step-by-step explanation:
Hello!
Factor:
5x² - 11x - 12Think: What two numbers add up to -11 but multiply to (5)(-12)?
Answer: -15 and 4
Continue:
5x² - 11x - 125x² - 15x + 4x - 12 Expand with the values we found5x(x - 3) + 4(x - 3) Factor by grouping(5x + 4)(x - 3)The factored expression is (5x + 4)(x - 3)
Is 6272 a perfect square? If not find the smallest number by which it must be divided so that the product becomes a perfect square.
Answer:
(2^7)*(7^2)
Step-by-step explanation:
2*2*2*2*2*2*2*7*7=6272where2 is the smallest number by which it becomes a perfect square
algebra help plss222
Answer:
y=1/9
Step-by-step explanation:
How to get 14 using four fours
Answer:
14
Step-by-step explanation:
[tex]4 \times (4 - .4) -. 4[/tex]
Which expression is equivalent to
X^4
Jdnzusjdnekdjdnkdkelef
A line on a graph passes through the point (0, 5). Does the graph represent a proportional relationship?
it doesn't represent a proportional relationship because it doesn't cross the origin, instead it has a y-int of (0,5)
16x^2 - 49 when factored is ?
Answer:
Step-by-step explanation:
16x^2 = (4x)^2
49 = 7^2
16x^2 - 49 = (4x)^2 - (7)^2
I need help I need help
Answer:
[tex]{ \boxed{ \bf{c}}} \: \: \frac{3.8}{4} = s[/tex]
Step-by-step explanation:
[tex]{ \tt{4 \: pies \: = \: 3.8 \: ounces}} \\ { \tt{1 \: pie \: = \: ( \frac{1}{4} \times 3.8) \: ounces}} \\ { \tt{ = 0.95 \: ounces}}[/tex]
[tex]{ \underline{ \sf{ \blue{christ \: † \: alone}}}}[/tex]
Focus on math practices
Reasoning How are "T minus 4" and "T plus 4" related?
In rocket use
Answer:
Both T+4 and T-4 are the same distance away from 4
T would be the launch time of the rocket...
T - 4 is 4 units of time (seconds) prior to launch...
T+ 4 is 4 units of time (seconds) after the launch
Step-by-step explanation:
What is the value of d to the nearest tenth?
Answer:
d=13.8
Step-by-step explanation:
secant-secant theorem: (a+b)b=(c+d)d
(14+20)14=(16+d)16
34*14=256+16d
476=256+16d
220=16d
d=13.75
Answer:
[tex]\frac{14}{16}=\frac{20}{d}[/tex]
[tex]14d=16\cdot \:20[/tex]
Multiply 16 × 20
[tex]14=320[/tex]
Now, Divide both sides by 14
[tex]\frac{14d}{14}=\frac{320}{14}[/tex]
[tex]d=22.9[/tex]
OAmalOHopeO
Use the function below to find F(-4).
F(x) = 2^x
Answer:
Step-by-step explanation:
F(x)=2^x
[tex]F(-2)=2^{-2} =\frac{1}{2^2} =\frac{1}{4}[/tex]
What is the value of X? Enter your answer in the box.
Answer:
x =4
Step-by-step explanation:
First we need to find the length of RT
Since the triangle on the left (RST) is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 60 = 2 sqrt(3) / RT
RT sin 60 = 2 sqrt(3)
RT = 2 sqrt(3) / sin 60
RT = 2 sqrt(3) / (sqrt(3)/2)
RT = 4
Now we can find x
Since the triangle on the right (QRT) is a right triangle, we can use trig functions
tan theta = opp /adj
tan 45 = x/ RT
tan 45 = x / 4
4 tan 45 = x
4 (1) = x
4 =x
SImplify to standard form (a+bi)
(12-9i)²
Answer:
Hello,
Step-by-step explanation:
Formula used (a+b)^2=a²+2ab+b²
[tex](12-9i)^2=3^2*(4-3i)^2\\\\=9*(16-9-24i)\\\\=9*(7-24i)\\\\=63-216i\\[/tex]
