Answer:
Step-by-step explanation:
The slope or, gradient is the rate of change of a linear function( a function which can be represented by a line). We find a slope between two arbitrary pair of points( arbitrary means what the question given us). One point we are given is (0,4) and an another point we are given is (2,1). Now we use the slope formula,
[tex]\frac{change in y }{change in x}[/tex]
So let plug in the values,
[tex]\frac{4-1}{0-2} =\frac{3}{-2} =-\frac{3}{2}[/tex]
The slope is -3/2
how do you find x the problem is 9x = -22
Answer:
x = -22/9 or, x = -2.44 in decimal form
Step-by-step explanation:
9x = -22
/9 /9 (divide both sides by 9)
-------------
x = -22/9 (when converted to decimal form, you get x = -2.44)
What is the sum of a rational number but a product of an irrational one.
I'm going to only focus on part B
If 'a' and 'b' are rational numbers, then
a = p/qb = r/swhere p,q,r,s are integers. Also, q and s are nonzero. In fact, this context would make sense to also have p and r to be nonzero as well.
The perimeter of this rectangle is
P = 2*(length+width)
P = 2*(a+b)
P = 2*(p/q + r/s)
P = 2*(ps/qs + qr/qs)
P = 2*( (ps+qr)/qs )
P = (2ps+2qr)/qs
P = integer/integer = some rational number
We see that the perimeter P is rational if and only if 'a' and 'b' are rational.
From this, notice that the area is
area = length*width = a*b = (p/q)*(r/s) = (pr)/(qs)
Showing that the area is also rational.
If we wanted the area to be irrational, then we'd have to have either 'a' and/or 'b' irrational; this would then make the perimeter irrational as well. This contradiction is sufficient to show that case B is not possible.
There is no way to have a rational perimeter but an irrational area.
3a + 2b = 17, b = 4a - 30
A person sent 213 copies of a junk mail via email. Each email consisted of 2 bytes of data. How many bytes of data were sent altogether? Express the answer in exponential notation.
Step-by-step explanation:
a person sent 213 copies of junk via email
each email consisted of 2 bytes
then 213×2=426
35n^2+371n+882. Factor
Answer:
7(x+7)(5x+18)
Step-by-step explanation:
Answer:
factors are (5n + 8)(n + 7)
Step-by-step explanation:
[tex] {35n}^{2} + 371n + 882 \\{ \sf{sum = \frac{371}{35} \: and \: product = \frac{882}{35} }} \\ factors= (5n + 8)(n + 7)[/tex]
Help please. Domain ASAP
Answer:
x ≥ -1
Step-by-step explanation:
The domain is all the possible x-values of the function.
Reading from left to right, the first x-value is x = -1 (which is included because the dot is filled in.) From there, the graph goes to the right, towards infinity.
So x is greater than or equal to -1.
x ≥ -1
What statement is true about these two triangles?
Answer:
Step-by-step explanation:
c
If ∠AOB, ∠BOC, and ∠COD are supplementary angles, then what is the value of x and m∠COD?
A.
x = 20; m∠COD = 50°
B.
x = 20; m∠COD = 70°
C.
x = 50; m∠COD = 20°
D.
x = 30; m∠COD = 80°
Answer:
B
Step-by-step explanation:
x=180-90-20-50=20
m∠COD=20+50=70
Answer:
B
Step-by-step explanation:
∠ AOB + ∠ BOC + ∠ COD = 180° ( AOD is a straight line ) , then
20 + 90 + x + 50 = 180 , that is
x + 160 = 180 ( subtract 160 from both sides )
x = 20
Then
∠ COD = x + 50 = 20 + 50 = 70°
Which graph shows the function f(x) = x with an input of f(x – 3)?
Expand and simplify 5)3x+2)-2(4x-1)
Answer:
It is 7x + 12
Step-by-step explanation:
[tex]5(3x + 2) - 2(4x - 1)[/tex]
open brackets:
[tex] = 15x + 10 - 8x + 2[/tex]
group like terms together:
[tex] = (15x - 8x) + (10 + 2)[/tex]
factorise out x :
[tex] = x(15 - 8) + 12 \\ = 7x + 12[/tex]
what is -2 1/3 - (-5)=
Answer:
[tex] \frac{8}{3} [/tex]
Step-by-step explanation:
[tex] - 2 \frac{1}{3} - ( - 5)[/tex]
convert mixed fraction into improper fraction.
[tex] - \frac{7}{3} + ( - 5)[/tex]
calculate the sum of the fraction:
[tex] \frac{8}{3} [/tex]
Please help I’ll mark brainlist
Answer:
⚪ 4: three right triangles and one acute-angled triangle.
Step-by-step explanation:
[tex].[/tex]
find the cube root of 5832
Answer:
18
hope it helps
Plz help!! Math isn’t my thing. I’ll give brainliest.
Answer:
Here is your answer
Hope it helps
Answer:
(2,-6)
Step-by-step explanation:
it is above in the photo.
I AM SO CONFUSED HELP PLS
Answer:
x goes up 1 and f(x) is subtracting 3
Write each word statement as an equation. Use x as the variable. Find all solutions from the set (5,7,12,17,22).
The sum of a number and 5 is 17
The equation is
? = 17
You have to fist write it in a way you don't confuse yourself
Let the number be x
x+5=17
x=17-5
x=12
It's a step by step process
1) (3x-5)^2
2) (3xy-1/3)^2
1)
=(3x)² - 2 × 3x × 5+5²
=3²x²2 × 3x × 5+5²
=9x² -2 × 3x × 5 + 5²
=9x² -2 x 3x x 5 + 25
=9x²30x + 25
log(12), round to the nearest thousandths?
Answer:
1.079.
Step-by-step explanation:
Use ur calculator.
A particular brand of milk is sold in 1L and 2L bottles. If the shop owner orders 120L of milk and receives 97 bottles in total, calculate how many of each size the shop owner receives.
Answer:
74 1L bottles and 23 2L bottles
Step-by-step explanation:
We can use algebra to figure out the answer
let the 1L bottles be called m and the 2L bottles be called n
We know that:
(1) m+n = 97
and
(2) m+2n(2L bottles) = 120L
(2) - (1)
m+2n-m-n = 120-97
n = 23
and so
m = 74
Therefore, The shop owner receives 74 1L bottles and 23 2L bottles
a + 1 = 3000
a = ?
This is my first question, I know the answer. I just wanna test the platform.
Answer:
2999
Step-by-step explanation:
a + 1 = 3000
=> Subtracting 1 from both sides,
=> a + 1 - 1 = 3000 - 1
=> a = 2999
Find the perimeter in units of a polygon with the given vertices (4,-3),(7,10)(-8,2)
Answer:
take the length of each side, and multiply it by the number of sides I'm not sure why you have coordinates
Step-by-step explanation:
The area of triangle ABC is
square units.
Answer: Area = 17.5 unit²
Concept:
Here, we need to know how to calculate the area of a triangle.
Area (triangle) = b · h · (1/2)
b = base
h = height
Solve:
Given information (By counting grids on the graph)
b (AB) = 7
h (BC) = 5
Given expression
Area = b · h · (1/2)
Substitute values into the expression
Area = (7) · (5) · (1/2)
Simplify by multiplication
Area = (35) · (1/2)
Area = [tex]\boxed{17.5}[/tex]
Hope this helps!! :)
Please let me know if you have any quesitons
How to find the absolute value of |2x+3|=13
Answer:
x=5 or x = -8
Step-by-step explanation:
|2x+3|=13
There are two solutions to this problem, one positive and one negative
2x+3 =13 and 2x+3 = -13
Subtract 3 from all sides
2x+3-3 = 13-3 2x+3-3 = -13-3
2x = 10 2x = -16
Divide each side by 2
2x/2=10/2 2x/2 = -16/2
x = 5 x = -8
what is the factor of 12
Answer:
1, 2, 3, 4, 6, 12
Step-by-step explanation:
Solve the following complex equation
18+22i=3x-2yi
Answer:
[tex]this \: a \: complex \: equation \: so \: compare \\ \: real \: term \: and \: imaginary \: term \\ so \\ 18 = 3x \: \: and \: 22i = - 2yi \\ x = \frac{18}{3} \: \: \: \: and \: y = \frac{22i}{ - 2i} \\ x = 6 \: \: \: y = - 11 \\ then \: 6 \times 3 - - 2 \times 11i \\ = 18 + 22i \\ thank \: you[/tex]
Solve 1/x = 1/a + 1/b find x
Answer:
[tex]x=\frac{ab}{a+b}[/tex]
Step-by-step explanation:
Combine the two fractions on the right by using the common denominator ab.
[tex]\frac{1}{x}=\frac{b}{ab}+\frac{a}{ab}\\=\frac{b+a}{ab}[/tex]
If two quantities are equal, then their reciprocals are equal.
[tex]x=\frac{ab}{b+a}[/tex]
Answer:
x = [tex]\frac{ab}{b+a}[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{x}[/tex] = [tex]\frac{1}{a}[/tex] + [tex]\frac{1}{b}[/tex]
Multiply through by abx ( the LCM of denominators ) to clear the fractions
ab = bx + ax ← factor out x from each term on the left side
ab = x(b + a) ← divide both sides by (b + a)
[tex]\frac{ab}{b+a}[/tex] = x
Find the perimeter. Simplify your answer.
W+1
w+1
W+1
W+1
w + 1 + w + 1 + w + 1 + w + 1 =
= w + w + w + w + 1 + 1 + 1 + 1 = 4w + 4 ← the end
Find the approximate side length of a square game board with an area of 132 in?
(Round to the nearest inch as needed)
Please explain to me how you got the answer cuz I want to learn!!
In the following statement, change the percent to a reduced fraction. Then diagram the statement and answer the questions.
Twenty-five percent of three dozen plants are blooming.
a. What fraction of the total number of plants are not blooming?
b. How many plants are not blooming?
Answer:
a. 3/4 b. 27
Step-by-step explanation:
We know 25% percent are blooming, since 100-25 = 75, 75% aren't blooming.
Since 1 / 4 = 0.25, 3/4 = 0.75, so for question a. 3/4 of the plants aren't blooming.
For question b, we know there are three dozen plants, which is 3 * 12 = 36 plants.
75% of 36 = 36 * 0.75 = 27 plants aren't blooming.
If S is directly proportional to t squared and s= 8 when t= 4 find the value of s when t= 3
Answer:9/2
Step-by-step explanation:
Answer:
1.5
Step-by-step explanation:
k=8÷16=0.5
s=0.5×3=1.5