Step-by-step explanation:
y=5x-5
y= -4x+22
1- use y=5x-5 solve for y (here you don't really have to do anything)
This stays the same, Therefore y = 5x-5
2- you will substitute y=5x-5 for y in y= -4x+22. The problem should now look like this:
5x-5= -4x+22
Solving for xnow, with the equation above you will solve for x-
5x-5= -4x+22 (add 4x to both sides)
9x-5= 22 (add 5 to both sides)
9x=27 (divide by 9)
x=3
Solving for yNow that you Know that x=3 you can substitute x=3 for x in y=5x-5. The problem should look like this:
y= 5(3)-5
Now with the equation above you can solve for y
y= 5(3)-5 (multiply 5 by 3)
y= 15-5 (subtract)
y=10
Now you have your answers X=3 Y=10
i hope this helps!
What is the first step in solving this quadratic equation? x^2+5x=6
a) combine like terms
2) set each factor equal to zero
c) subtract 6 from both sides to get it equal to zero.
d) factor
Answer:
c) subtract 6 from both sides to get it equal to 0
Step-by-step explanation:
Factorise the following:
a) x + 3x - 4
b) x - 2x - 3
c) x + 2x - 8
How to solve mentally
Step-by-step explanation:
1.The "9-trick".To add 9 to any number, first add 10 and then subtract 1
2.Double +1
3.use adittion facts when adding bigger number.
4.subtract by adding
5.five times a number
6.four and eight times a number
7.multiply in parts
im good in math
Find the midpoint of the segment with the following endpoints.
(10,6) and (3,1)
Answer:
(6.5 , 3.5)
Step-by-step explanation:
[tex]Midpoint=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\[/tex]
[tex]=(\frac{10+3}{2},\frac{6+1}{2})\\\\=(\frac{13}{2},\frac{7}{2})\\\\=(6.5,3.5)[/tex]
9 + 15 using the distributive property to factor out the greatest common factor
Answer:
24
Step-by-step explanation:
9 can be broken down to 3 because 3 x 3 = 9
15 can be broken down to 3 also because 3 x 5 = 15
> 9 + 15
= 3 ( 3 ) + 3 ( 5 )
= 3 ( 3 + 5 )
= 3 ( 8 )
= 24
The ratio of students with brown eyes in Michelle’s class to all of the students in her class is 20:25. What is another way to write this ratio?
Answer:
3/4, 5/6, 8/10 this is in fraction form though. just change it to 3:4
The Lowest common multiple of 2 numbers is 126
what are the 2 numbers
Answer:
Step-by-step explanation:
The least common multiple of 126 and 131 is
16,506
Find the slope of the line that passes through the given points.(2, 1) and (7,10)
Answer:
1.8
Step-by-step explanation:
Slope: 1.8
Equation of the line: y=1.8x-2.6
Which answer describes the sequence {1,3,7,15,…} as a mathematical statement?
Answer:
so just successive powers of 2
Step-by-step explanation:
1, 3, 7, 15, 31, 63, _? Add successive powers of 2 to the number: 1+2=3; 3+4=7; 7+8=15; 15+16=31; 31+32=63; 63+64=127.
The given sequence {1,3,7,15,…} has general term S = A(n-1) + (A(n-1) + 1) where A0 = 1.
Given that,
To justify the given sequences 1,3,7,15.
Arithmetic progression is the series of numbers that have common differences between adjacent values
What is geometric progression?Geometric progression is a sequence of series whose ratio with adjacent values remains the same.
Here,
Given a sequence, 1,3,7,15
where first term A0 = 1
second term A1 = 1 + 2 = 3
third term A2 = 3 + 4 = 7
From above sequence we can conclude the general term for the sequence as, S = A(n-1) + (A(n-1) + 1)
Thus, the given sequence {1,3,7,15,…} has general term S = A(n-1) + (A(n-1) + 1) where A0 = 1.
Learn more about arithmetic progression here:
https://brainly.com/question/20334860
#SPJ2
Select the expression equivalent to (8.4x + 2.9) + (–3.7x + 5).
Answer:
4.7x + 7.9
Step-by-step explanation:
trust
Assume that three fifths of the population has long hair and and one tenth of the poulation has blue eyes. What is the probability that a person does not have long but does have blue eyes?
Answer:
1/25
Step-by-step explanation:
If 3/5 have long hair, then 2/5 do not have long hair
So, the probability of no long hair, has blue eyes = 2/5(1/10) = 1/25
Please help!! 10-15 much appreciated! :)
Answer:
Step-by-step explanation: sin β = [tex]\frac{oposite }{hypotenuse}[/tex] ; cos β = [tex]\frac{Adjacent}{Hypotenuse}[/tex]
10) sin [tex]32^{0}[/tex] = [tex]\frac{x}{18}[/tex]
18 sin [tex]32^{0}[/tex] = x
18 (0.53) = x
x= 9.5 units
cos [tex]32^{0}[/tex] = [tex]\frac{y}{18}[/tex]
18 cos [tex]32^{0}[/tex] = y
y = 18 (0.85)
y = 15.3 units
You use the same strategy for the rest of the questions. Feel free to reach out if you have more questions.
You don't need to solve it, just write the equations
Answer:
5,640/15=y
y•15=5,640
Plz help me cuz I’m slow lol
Answer:
The answer is A
Step-by-step explanation:
(-2,5).......
......
PLEASE HELP ME OUT HERE!!!!
11+19+12+245+1245+23567=
please help solve 2d + 7 =9
Answer:
D=1 or just 1, i dont get what the question is
Step-by-step explanation:
Answer:
d=1
Step-by-step explanation:
Move 7 to the other side by subtracting 7 on both sides:
2d+7-7=9-7
The equation now looks like this:
2d=2
Divide 2 on both sides:
2d/2=2/2
The equation now looks like this:
d=1 which is the answer
If a shirt costs 45 dollars, it's marked down to 30% off, what is the amount of the discount?
Answer:
$31.50
Step-by-step explanation:
30% of 45 is 13.5
45-13.5=31.5
Here is a system of equations.
y=3x-1
y=-x-5
Graph the system. Then write its solution. Note that you can also answer "No sol
B
G H
Suppose the true proportion of high school students who walk to school in New York City is 0.82. If many random samples of 400 high school students are taken, by how much would their sample proportions typically vary from the true proportion?
a. 0
b. 0.001
c. 0.019
d. 0.148
e. 7.684
Answer:
i think it will be C
Step-by-step explanation:
with the variability formula = squareroot p(1-p)/n which gives you 0.0192
How much must be added to each of the three number 1, 11, and 23 so that together they form a geometric progression?
Answer:
49
Step-by-step explanation:
Let the three numbers be a1, a2, a3
Let the number to be added to form a geometric progression = x
a1 = 1 + x ; a2 = 11 + x ; a3 = 23 + x
For a geometric progression :
a2 = a1 * r
a2 = (1+x)r
11+x = (1+x)r - - (1)
r = (11+x) / (1+x) ---(1)
a3 = a2 * r
a3 = (11+x)r
23+x = (11+x)r - - -
r = (23+x) / (11+x) - - (2)
Equate (1) and (2)
(11+x) / (1+x) = (23+x) / (11+x)
(11+x) * (11+x) = (23+x) * (1+x)
121 + 22x + x² = 23 + 24x + x²
121 + 22x + x² - x² - 24x - 23 = 0
98 - 2x = 0
-2x = - 98
x = 98 / 2
x = 49
What is the equation of the line perpendicular to Y= 1/2x +6 that passes through the point (4,1)
Answer:
Step-by-step explanation:
y= mx+b is the general equation where m is the slope
y= 1/2 x +6 has the slope 1/2
perpendicular lines have the slope negative reciprocal
so the slope of the ⊥ line is -2
y = -x +b , yet for point (4, 1) the x=4 and y =1
1= -4 +b so b= 5
the equation of the ⊥ line is y= -2x+5
What is the anwser to: h + 5.7 = −5.7
Answer:
h=-11.4
Step-by-step explanation:
because, 5.7+-5.7=-11.4
y = x3 + x2 − 4x − 16
Answer:
use photo math
Step-by-step explanation:
Answer:
Step-by-step explanation:
DIFFERENTIATE W.R.T. X
3x 2 +2x−4
EVALUATE
x 3 +x 2 −4x−16
EVALUATE
x
3
+x
2
−4x−16
The captain of the cheerleading team, Alicia, counted that they washed 58 cars. Determine if this is a reasonable number of cars that could've been washed.
Answer:
yes but no
Step-by-step explanation:
um well that is a lot by not if there is a bunch of people doing it.
Let us factorise the following alg
x4/16-y4/81
Step-by-step explanation:
this way we get value of x and y
hope it helps ☺️☺️
if u like give thanks
Mr. Gonzalez is designing a planter box shaped like a rectangular prism. The width of the box is 6 feet, and the length is 4 feet. Find the height of the box if the volume is 150 cubic feet.
Answer: 6.25
Step-by-step explanation:
6•4•(6.25)= 150
The lines shown below are perpendicular. If the green line has a slope of
2/5 , what is the slope of the red line?
Answer:
-5/2
Step-by-step explanation:
for perpendicularity;
[tex]m1 = \frac{ - 1}{m2} [/tex]
where m1 is first slope
and m2 is second slope
so here, let m1 be green line slope
and m2 be red line slope
thus,
[tex]m2 = \frac{ - 1}{m1} [/tex]
[tex]m2 = \frac{ - 1}{ \frac{2}{5} } = - 1 \div \frac{2}{5} [/tex]
[tex] = - 1 \times \frac{5}{2} = \frac{ - 5}{2} [/tex]
The best equation to graph from is the point slope form of a line. True or false?
Answer:
i say yes
Step-by-step explanation:
this is because it will give you the point to start with and the slope so you will already have all the information to graph
use synthetic division to find the quotient when 3x^3-13x^2+2x-5 is divided by x-4?
Answer:
Step-by-step explanation:
4_| 3 -13 2 -5
12 -4 -8
3 -1 -2 -13
3x^2 - x - 2 - 13/(x - 4)