Step-by-step explanation:
-5x+5y=15(multiply by 2)
3×-2y=-8(multiply by 5)
-10×+10y=30
15×-10y=-40
5x=-10
x=-2
Here,
-5x+5y=15.......(I)
and
3x-2y=8.....(II)
Now,
adding 3 in eqn (II)
so, 6x-5y=8
Now,
combining eqn (I) &(II)
-5x+5y=15
+6x-5y=8
[both 5y is cancelled ]
or, x=7
Now,
in eqn(i)
-5x+5y=15
or, -5*7+5y=15
or, -35+5y=15
or, -35-15=-5y
or, -50=-5y
or, -50/-5=y
[minus is cancelled ]
Therefore, y=10 and x=7
The vertex of this parabola is at (-1,-3). Which of the following could be its
equation?
(-1, -3)
O A. X=-2(y+3)2-1
B. x=-2(y - 3)2 - 1
C. X=-2(y + 1)2-3
D. X = -2(y - 1)2-3
Answer:
Step-by-step explanation:
Y equals mx plus b
A sphere has a volume of 1,436.03m^3, what is the approximate length of its radius?
A
4.9 m
B
7.0 m
C
10.7 m
D
18.5 m
Answer:
B. 7.0 m
Step-by-step explanation:
steps are in the pic above
Sort each function into the correct category.
Linear Functions
Quadratic Functions
Exponential Functions
f(x) = 0.45X-1
f(x) = 5
f(x) = 4.5x +18
Rx) = 19x2
f(x) = x² – 3x+4
f(x) = 2x - 6
Answer:
Linear functions are
f(x) = 0.45 x - 1
f(x) = 5
f(x) = 4.5 x + 18
Quadratic function is
R(x) = 19x^2
Step-by-step explanation:
The linear function is a function in which the degree of function is 1.
So,
f(x) = 0.45 x - 1
f(x) = 5
f(x) = 4.5 x + 18 are the linear functions.
The quadratic function is a function in which the degree of function is 2.
So,
R(x) = 19 x^2 is a quadratic function.
The exponential function is a function which involves the exponents.
Answer:
pic
Step-by-step explanation:
(-9g5+ 9) + (4g5- 5)
[tex]factorise \: \\ \\ r {}^{2} - 10r + 21[/tex]
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: (r - 7)(r - 3) }}}}}}[/tex]
[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]
[tex] {r}^{2} - 10r + 21[/tex]
[tex] = {r}^{2} - 7r - 3r + 21[/tex]
Taking [tex]r[/tex] as common from first two terms and [tex]3[/tex] from last two terms, we have
[tex] = r(r - 7) - 3(r - 7)[/tex]
Taking the factor [tex](x-7)[/tex] as common,
[tex] = (r - 7)(r - 3)[/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
Step-by-step explanation:
Your Answer with
Explanation is given in the attachment
Hope it is helpful to you
✌️✌️✌️✌️✌️✌️✌️
the probability of spinning a 4 and a C is 1/4 x 1/3 = 1/12
predict how often "4" and "c" will occur after spinning both spinners 240 times
Answer:
[tex] \frac{1}{12} \times 240 = 20 \: times[/tex]
hi here is the answer, please give brainly I've been helping you
Answer:
Step-by-step explanation:
20 times
Sandra y José son dos amigos que se encuentran en diferentes partes de la ciudad de Lima (Observa el plano), la distancia que los separa en el plano es de 7 cm ellos quisieran saber ¿Cuál es la distancia real en metros que los separa? Sabiendo que el plano ha sido dibujado a escala 1: 20 000.
Respuesta:
1,4 kilometros
Explicación paso a paso:
Dado que :
Distancia que separa a Sandra y José en el mapa = 7cm
Dibujo a escala = 1: 20.000; Esto se puede interpretar en el sentido de que 1 cm en el mapa equivale a 20.000 cm en el suelo.
Por tanto, una distancia de 7 cm en el mapa será:
20.000 * 7 = 140.000 cm en el suelo = distancia real
Por lo tanto, la distancia real = 140.000 cm.
Recordar :
1 cm = 10 ^ -5 km
140000 cm = 1.4 kilometros
Por lo tanto, la distancia real entre Sandra y José es de 1,4 km.
A drawer is filled with 2 black shirts, 7 white shirts, and 11 gray shirts.
One shirt is chosen at random from the drawer. Find the probability that it is not a black shirt.
Write your answer as a fraction in simplest form.
Answer:
Probability of the chosen T-shirt not being black will be equal to 9/10
Step-by-step explanation:
In order to solve this we need to understand that probaility is equal to the number of those outcomes that we want divided by the total number of outcomes. In our case the total number of outcomes is 20 (2 + 7 + 11) which is the total number of T-shirts, and the number of outcomes that are favorable to us is equal to 18 (outcomes without a black T-shirt). Therefor probability of the chosen T-shirt not being black will be equal to...
18/20 = 9/10
30g of cornflakes contain 2.5 grams of fat how many grams of fat are there in 320g of cornflakes
Hello :)
Use proportionality
We know that :
30g of cornflakes ⇒ 2.5g of fat
320g of cornflakes ⇒ xg of fat
x = 320 * 2.5 ÷ 30 ≈ 26.7 g of flat
Have a nice day!
which inequality represents all values of x for which the quotient below is defined? √15(x-1) ÷ √2^2
Answer:
Option D: x ≥ 1.
Step-by-step explanation:
Here we have the quotient:
[tex]\frac{\sqrt{15*(x - 1)} }{\sqrt{2*x^2} }[/tex]
Here we have two restrictions for the domain.
first, the denominator can never be zero, so x must be different than zero.
Second, the arguments of the square roots can not be negative.
The one in the denominator is always positive because we have the square of x.
So let's look at the values of x, such that:
15*(x - 1) ≥ 0
(x - 1) ≥ 0
x ≥ 1
Note that when x ≥ 1, we are also removing the problem in the denominator, then we can conclude that the fraction is defined when:
x ≥ 1.
The correct option is D
A right triangle has one angle that measures 70 degrees what is the measure of the other acute triangle
Answer:
20
Step-by-step explanation:
180 - 90 - 70 = 20
The sum of all angles in a triangle equals 180.
Triangle Sum Theory
Find the perimeter of ΔJKL. Round your answer to the nearest tenth if necessary
Answer:
Step-by-step explanation:
as angles of two triangles are equal, so they are similar.
x/17 =35/14=40/16
x/17=35/14
x=35/14×17=85/2=42.5
perimeter of ΔJKL=40+35+42.5=117.5
help my homework pls!!!!!!
Answer:
(2x^2 + x-3)/(4x^2-9)
Step-by-step explanation:
The denominator looks like an expression in which we have applied the difference of two squares to
In that case, we know that;
a^2-b^2 = (a-b)(a+ b)
That means we would be have 2x + 3 as the other denominator factor and the expression at the denominator would be;
(2x + 3)(2x-3) = 4x^2 - 9
Also, we would have to cancel out 2x + 3 from the numerator too, so as to be left with only the binomial
That means;
(2x+3)(x-1) = 2x^2-2x+ 3x - 3 = 2x^2+x -3
So we have the original expression as;
(2x^2 + x-3)/(4x^2-9)
How many 2/3 are in 4 use the tape diagram
simplify 3[(15-3)^2 + 4]
Answer:
444
Step-by-step explanation:
3 [ ( 15 - 3 )^2 + 4 ]
= 3 [ ( 15 - 3 )^2 + 4 ]
= 3 [ ( 12 )^2 + 4 ]
= 3 [ 144 + 4 ]
= 3 [ 148 ]
= 444
Step-by-step explanation:
3(15-3)²+4
3(12)²+4
3×144+4
432+4
436 Answer
65. A city has a population of 25,000. The population is expected to increase by 5.5% annually for the
next decade. (See Example 5)
a. Write a function that represents the
City Population
population y after t years.
УГ
40,000
35,000
30,000
25,000
b. Graph the function from part (a). Use the 20,000
graph to estimate the population after 4
15,000
years.
10,000
5000
0
0 1 2 3 4 5 6 7 8 t
Year
Population
Answer:
The answer will be 0.45%
Step-by-step explanation:
im right
Find the length of UC
A. 54
B. 4
C. 39
Answer:
54
Step-by-step explanation:
It is the answer to this question
Wait waaaait Hol' up.
Answer:
Its 18.
the principal argument of z = —4+i4√3 is
Answer:
Let z=−4+0i. Then, ∣z∣=
(−4)
2
+0
=4
Clearly, the point (−4,0) representing z=−4+0i lies on the negative side of real axis. Therefore, principal argument of z is π.
2x+6=x-4
Solve this equation
The solution and answer are well written in the Pic above.
Answer:
x = 2
Step-by-step explanation:
2x + 6 = x -4
Subtract 6 from both sides
2x = x - 4 +6
2x = x + 2
Subtract 'x' from both sides
2x - x = 2
x = 2
During his lunch hour, Matt asked 24 students how many after-school activities they participated in. This list shows the survey results.
Answer:
[tex]Ratio = 1 : 6[/tex]
Step-by-step explanation:
Given
[tex]n = 24[/tex]
Results:
[tex]1, 2, 0, 0, 3, 2, 4, 2, 1, 4, 3, 2[/tex]
[tex]1, 1, 2, 1, 0, 3, 3, 2, 4, 1, 1, 0[/tex]
Required
Ratio of students not participating to all students
Students not participating are represented with 0;
So, we have:
[tex]n(0)= 4[/tex]
The ratio is then calculated as:
[tex]Ratio = n(0) : n[/tex]
[tex]Ratio = 4 : 24[/tex]
Divide by 4
[tex]Ratio = 1 : 6[/tex]
If f(x) = k where k is a constant, and the points (6,1) and (8,1) lie on the graph of y = f(x), what is the value of f(0)?
I think the answer is 1 but not 100% sure.
Answer:
The value of f(0)=1
Step-by-step explanation:
We are given that
[tex]f(x)=k[/tex]
[tex]y=f(x)[/tex]
(6,1) and (8,1) lies on the graph of y=f(x)
We have to find the value of f(0).
[tex]f(6)=1[/tex]
[tex]f(8)=1[/tex]
[tex]f(x)=k[/tex]
By comparing ,we get
k=1
Therefore, [tex]y=f(x)=1[/tex]
Now, substitute x=0
[tex]f(0)=1[/tex]
Hence, the value of f(0)=1
What is the product?
Simplify 5^3 x 5^4
5^12
5^7
25^12
25^7
Please help ASAP. Please. The answer is one of those above.
Answer:
5⁷
Step-by-step explanation:
5³×5⁴
when bases are same powers are added
so..
5(³+⁴)
5⁷
Answer:
5^7
Step-by-step explanation:
Think of it like x^3 * x^4. Since when two variables with exponents are multiplied, the exponents are added, you get x^7. (But just use 5 instead of x.)
You can also check by seeing the result of 5^3*5^4 is 78,125 and 5^7 is also 78,125. Hope that helps!
find the area of the rhombus. pic included, thank you
Answer:
80in 2
Step-by-step explanation:
Answer:
a=(d1×d2)÷2
(20×12)÷2
240/2
120
what’s the answer? how do I solve this?
Answer:
39.96 is what I think is the answer :)
Aditi has $50.00 in her wallet. She buys a shirt for $12.00 and also wants to buy some bracelets that are on sale for $0.60 each. The inequality below relates x, the number of bracelets she can buy, with her shirt purchase and the money in her wallet.
what is the greatest number of bracelets she can buy?
13. For every 5 hours that he works, Andrew
is paid $60.20. How much is Andrew paid
in dollars per hour?
What are the center and radius of the circle defined by the equation
x2 + y2 - 6x +4y+4 -0 ?
Answer:
B. center ( -3,2) ; radius 3
Answer:
The choose (A)
central (3,-2) , radius 3
What is the equation of the line that has a slope of 3 and passes through the point (1, -2)
Answer:
. JUST LOAD
Step-by-step explanation:
help asap ---------------------------------------------------------
Answer:
Correct answer #1
Step-by-step explanation: