Answer:
[tex]\frac{x+4}{3}[/tex] ; 3
Step-by-step explanation:
In this question, we're being asked to write an equation using the word format. Let's find key words in the statement.
The sum of a number x and 4, all divided by 3.
Looking at the wording, we can conclude that we are adding x and 4, and dividing that by 3. So here's how the phrase would look as an expression.
[tex]\frac{1}{3}[/tex] (x+4) or [tex]\frac{x+4}{3}[/tex]
Now, there's another part to this problem. We must evaluate the value of the expression if x is given to be 5. So let's plug it into our equations.
(5)+4
3
[tex]\frac{9}{3}[/tex]
9/3 gives you 3, so your answer would be 3.
Let me know if you see any errors or have any further questions, otherwise, I hope this helped! :)
Find the slope of the line that passes through (1, 13) and (10, 6).
Answer:
-7/9
Step-by-step explanation:
Using the slope formula
m = ( y2-y1)/(x2-x1)
= ( 6-13)/(10-1)
= -7/9
what is 15/4 as a whole number i've never been good at this and could us help
Answer:
3
Step-by-step explanation:
15/4=3 with a remainder of 3 . You take the 3 from your answer and it becomes the whole number.
Write an equation of the line with the given slope and y-intercept: m = 2, b = negative three-fourths a. y = negative 2 x + three-fourths b. y = 2 x minus three-fourths c. y = negative 2 x minus three-fourths d. y = 2 x + three-fourths
Answer:
y = 2x - 3/4 Answer b
Step-by-step explanation:
slope intercept form is
y = mx + b
m is the slope = 2
b is the y-intercept = -3/4
therefor
y = 2x - 3/4 Answer b
1. It takes you 2 hours to travel 110 miles. How far can you travel in 5 hours?
Answer:
275 miles
Step-by-step explanation:
110/2 = 55 miles
you travel 55 miles an hour
multiply that by 5 to get your answer
equals 275 miles
Hope this is helpful.
Answer:
275 miles in 5 hours
Step-by-step explanation:
110/2 is 55. 55 is 1hour so multiply 55 times 5 and thats your answer.
what is 84 divided by -12
Answer:
-7
Step-by-step explanation:
Answer:
-7
Step-by-step expla
-7 times -12 is 84
Find the slope, x-intercept, and y-intercept
of the line 3x + 5y = - 15.
-
Slope =
=
X-intercept =
unWS
Y-intercept=
Answer:
Slope:[tex]-\frac{3}{5}[/tex]
Y-intercept:-3
X intercept:-5
Step-by-step explanation:
x^2 - 8x + 5 = 0
(a) find the value of the discriminant
(b) state the number and type of the roots (2 real, 2 imaginary/complex or 1 real).
√44
2 Real Roots
Step-by-step explanation:Looking at the image attached, the discriminant is the value under the square root.
In the equation given:
a = 1
b = -8
c = 5
The discriminant is therefore:
√(b²- 4ac) = √(-8²- (4*1*5)) = √(64-20) = √44
√44 is a positive number. Because it is positive, there must be 2 real roots.
If it were negative, there would be 2 imaginary roots.
If it were zero, there would be 1 real root.
Jessica has £600.
She gives 50% to her mother.
Jessica gives 10% to her brother.
She keeps the rest.
How much money does Jessica keep?
Answer:
she keeps 270
Step-by-step explanation:
have of 600 is 300 10 percent of 300 is 30
300-30 is 270
In 1903, the Wright brothers flew their first airplane. Sixty-six years later, a man walked on the moon. In which year did a man walk on the moon?
A. 1966
B. 1969
C. 1837
D. 1970
B. 1969
Step-by-step explanation:
Hope it helped you! :) (Please correct me if I'm wrong.)
-
How many solutions does the equation 2 + 6(x - 4) = 3x - 18 + 3x have?
A)0
B)1
C)2
D) Infinite
Answer:
C because it's a quadratic equation and it can be solved by factorization and completing the square method and also general formula
Can someone please explain how to find the answer please.
Answer:
36 / 21 = h / 168 so h = 168 (12 / 7)
Step-by-step explanation:
i dont know how to explain it
F(x)=-x^2-12 to find (-3)
Answer:
[tex]{ \boxed{ \mathfrak{ \: answer : \: { \rm{f( - 3) = - 21}} }}}[/tex]
Step-by-step explanation:
[tex]{ \rm{f(x) = - {x}^{2} - 12 }}[/tex]
• When x is -3:
[tex]{ \rm{f( - 3) = - {( - 3)}^{2} - 12}} \\ \\ { \rm{f( - 3) = - 9 - 12}} \\ \\ { \rm{f( - 3) = - 21}}[/tex]
Show all work
which of the following lines is parallel to 2y=3x-1?
a. y = 1/2x - 1
b. 2y = x - 3
c. 4y = 6x + 8
d. y = 3x + 4
e. 3y = 2x - 3
Answer:
c. 4y=6x+8
Step-by-step explanation:
For lines to be parallel, they must have the same slope. To solve this problem, we need to isolate the y on one side of the equation (putting the equation into slope intercept form).
The equation itself must be divided by 2 to do that. We end up with y=1.5x-0.5. We need to find another equation that has 1.5 as the slope.
b. y=0.5x-1.5
c. y=1.5x+2
d. y=3x+4
e. y=2/3x-1
As we can see, the only other equation with a slope of 1.5 is C. Therefore, C is our answer.
what is the perimeter, in grid units, of a regular octagon that has one side with endpoints (-4, -3) and (-4, 8)
Answer:
88
Step-by-step explanation:
Let's find the length of one side. The perimeter will be 8 times that since it's a regular octagon.
[tex]d= \sqrt{(-4+(-4))^2+(8-(-3))^2} = \sqrt{0^2+(11)^2}= 11[/tex]
Perimeter has to be [tex]8\times 11 = 88[/tex]
The cost of a pizza varies directly as the square of its radius. If a pizza with a 6 inch radius costs $8.00, how much should a pizza with an 11 inch radius cost? Round to the nearest hundredth.
Answer:
Step-by-step explanation:
14.7$
Find the value of X - triangle measurments
I WILL GIVE BRAINLIEST!
Answer:
x = 20Step-by-step explanation:
from how the sides are marked it is an equilateral triangle, to see it does not seem. assuming that it is equilateral it has 3 angles of 60 ° for which 4x - 20 = 60
4x - 20 = 60
4x = 80
x = 80 : 4
x = 20
-------------------
4 * 20 - 20 = 60°
What is (-i)^3
A. -i
B. i
C. -1
D.1
Answer:
i
Step-by-step explanation:
=> -i³
=> (-1 . i )³
=> -1³ . i³
=> -1 [ i² . i ]
=> -1 [ (√-1)² . i ]
=> -1 [ -1 . i ]
=> i
Answer:
B: i
Step-by-step explanation:
Algebric explanation: as long as you remember power rules you should be good:
[tex](-i)^3 = (-1)^3\times i^3 = -1 \times i^2\times i= (-1)\times(-1)\times i=1i[/tex]
Geometric explanation: In the complex plane you can think "multiplying by i" as "rotate 1/4 counterclockwise". [tex](-1)^3[/tex] is a real number, and it's simply [tex]-1[/tex]. Rotate that ccw once, you're at [tex]-i[/tex]. Again, and you're at 1. third time (is really the charm!) you end up at [tex]i[/tex].
Polar explanation Courtesy of euler's identity.
[tex](-i)^3 = (e^{-\frac{\pi}2i})^3=e^{-\frac32\pi i}= cos (-\frac32\pi)+isin(-\frac32\pi) = 0+i(1)= i[/tex]
How do you solve the equation 4a+b=12
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4*a+b-(12)=0
Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 4a+b-12 = 0 and calculate its properties
Notice that when a = 0 the value of b is 12/1 so this line "cuts" the b axis at b=12.00000
b-intercept = 12/1 = 12.00000
When b = 0 the value of a is 3/1 Our line therefore "cuts" the a axis at a= 3.00000
a-intercept = 12/4 = 3
Slope is defined as the change in b divided by the change in a. We note that for a=0, the value of b is 12.000 and for a=2.000, the value of b is 4.000. So, for a change of 2.000 in a (The change in a is sometimes referred to as "RUN") we get a change of 4.000 - 12.000 = -8.000 in b. (The change in b is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -8.000/2.000 = -4.000
Geometric figure: Straight Line
Slope = -8.000/2.000 = -4.000 a-intercept = 12/4 = 3 b-intercept = 12/1 = 12.00000Answer:
Step-by-step explanation:
Without having a numerical value for a (or b), you can't "solve this equation."
You can, however, solve it for either a or b, but not both.
For a: Subtract b from both sides. This results in 4a = 12 - b. Dividing both sides by 4 isolates a:
12 - b
a = --------------
4
For b: Subtract 4a from both sides. Then: b = 12 - 4a
If car number plates have 3 English alphabet letters followed by 3 digits, how many of these start with ABC?
Answer:
351520000
Step-by-step explanation:
351520000
Explanation:
There are 10 possible digits for the numbers (0,1,2,...,9), and 26 possible letters (A,B,C,.....,Z).
Since repetitions are allowed, we have that for each letter used, 26 still remain for the next choice, and for each digit used, 10 still remain for the next choice.
Hence, by the multiplication principle, the total different number of letter permutations is
26
×
26
×
26
=
17576
and the total number of digit permutations is
10
×
10
×
10
=
1000
But now since they can be in any order, we basically require in how many different ways can 3 be chosen from 6 which is the combination
6
C
3
=
6
!
(
6
−
3
)
!
3
!
=
20
So for each of the original permutations of numbers and letters, we must consider the 20 different combinations of positions they can be in.
Therefore by the multiplication principle, the total possible different number plates is
17576
×
1000
×
20
=
351520000
PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
N
Step-by-step explanation:
Answer:
n
Step-by-step explanation:
Select all ratios equivalent to 3:5
I suck at math help ill give brainliest
Answer:
3
Step-by-step explanation:
5x + 40 = 55
5x = 55 - 40
5x = 15
x = 15 / 5
x = 3
3m^2 + 5n; if m = -4 and n = -13
Answer:
3m^2 + 5n = 3
Step-by-step explanation:
3(16) + 5(-13) =
48 - 45 =
3
To the nearest tenth, what is the BEST estimate of the value 5√10
Answer:
15.8 i think
Step-by-step explanation:
need help with math
Ah sorry I got it wrong, dear
Find a trinomial for the area of the rectangular rug shown on the right whose sides are x+2 feet and 3x-1 feet.
The trinomial for the rectangular rug is 3x² + 5x - 2
A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables.
A trinomial is a polynomial with three terms.
The area of a rectangle = length * width
Area of rectangle = (x + 2) * (3x - 1) = 3x² + 6x - x - 2
Area of rectangle = 3x² + 5x - 2
The trinomial for the rectangular rug is 3x² + 5x - 2
Find out more at: https://brainly.com/question/18563587
Candy is sold out in 4 pound bags. How many full
La casa de Camilo está a 4 cuadras a la derecha de la casa de Andrés, la casa de Rodrigo está a 2 cuadras a la izquierda de la casa Camilo ¿Cuántas cuadras hay entre las casas de Andrés y Rodrigo?.
La casa de Rodrigo está dos cuadras a la derecha de la casa de Andrés.
En esta pregunta, debemos leer el enunciado y obtener las ecuaciones equivalentes antes de obtener su solución. En este caso tenemos las siguientes dos ecuaciones:
(i) La casa de Camilo está a 4 cuadras a la derecha de la casa de Andrés.
[tex]c - a = 4[/tex] (1)
(ii) La casa de Rodrigo está a 2 cuadras a la izquierda de la casa de Camilo.
[tex]r - c = -2[/tex] (2)
Si sumamos (1) con (2), entonces obtenemos la siguiente ecuación entre las casas de Andrés y Rodrigo:
[tex]r - a = 2[/tex]
En síntesis, la casa de Rodrigo está dos cuadras a la derecha de la casa de Andrés.
Invitamos cordialmente a ver esta pregunta sobre aritmética: https://brainly.com/question/6357882
a^1/2 x a^3/2 divide (a^3)^4
Answer:
3x
Step-by-step explanation:
What is the soultion to the following system of equations
{x+4y=-22
{3x-7y=29
Answer:
y= -1/4x - 11/2
y= 3/7x - 29/7
