Answer:
y intercept is -8
slope is 3x
Step-by-step explanation:
the definitions of them speak for themselves
is 8/5 proportional to 24/15 ?
Hey there!
The answer to your question is, yes, it is
Given:
[tex]\frac{8}{5}[/tex] [tex]and[/tex] [tex]\frac{24}{15}[/tex]
To see if they are equal, we can use cross products (see below for information about this, if you don't know what it is). Let us assume they are equal. This would mean that:
[tex]8*15=24*5[/tex]
Let's solve it and see if it is true:
[tex]8*15=24*5[/tex]
[tex]120=120[/tex]
Therefore, they are proportional.
Cross products
WORD DEFINITION:
Given two fractions, you can take the numerator of the first fraction multiplied by the denominator of the second fraction and it should equal the denominator of the first fraction multiplied by the numerator of the second fraction.
ALGEBRAIC DEFINITION:
Given two fractions, [tex]\frac{a}{b}[/tex] [tex]and[/tex] [tex]\frac{c}{d}[/tex], [tex]a*d[/tex] should equal to [tex]b*c[/tex]
Hope it helps, and have a terrificly amazing day!
HELP ME FIND THE GCF
What is the greatest common factor (GCF) of the numerator and denominator
of the rational expression below?
5x - 20/ x^2-2x-8
Answer: Look below =3
The greatest common factor of numerator and denominator is (x-4).
Please help ASAP! Due very soon
Burger patties come packed 6 in a package, and burger buns come packed 8 in a package. We want to buy the least number of patties and buns possible, while still making sure that we have exactly one patty for each bun (no leftovers). How many packages of burger patties do we need to buy?
Answer:
6 packs of buns 8 packs of patties
Step-by-step explanation:
6 x 8 = 48
8 x 6 = 48
pls help help meeeeeeeeeeee
Step-by-step explanation:
[tex] 200 = \pi{r}^{2} \\ {r}^{2} = \frac{200}{\pi} = 63.66 \\ r = 7.97 = 8[/tex]
The straight line L1 passes through the points with coordinates (6, 5) and (10, 3)
The straight line L2 passes through the origin and has gradient -3
The lines L1 and L2 intersect at point P
Find the coordinates of P.
Answer:
The coordinates of point p are:
x = -3.2
y = 9.6
Step-by-step explanation:
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
Then if we know that L1 passes through the points (6, 5) and (10, 3) the slope of this line will be:
a = (3 - 5)/(10 - 6) = -0.5
Then this line will be something like:
y = -0.5*x + b
To find the value of b we can just replace the values of one of the points in the above equation. For example if we use the point (6, 5), this means that:
x = 6
y = 5
Then we get:
5 = -0.5*6 + b
5 = -3 + b
5 + 3 = b
8 = b
Then the equation for line L1 is:
y = -0.5*x + 8
Now, for line L2 we know that it has a gradient -3 (for linear equations, the gradient is the same as the slope)
Then line L2 has a slope equal to -3
y = -3*x + b
And we know that this line passes through the origin, (0, 0)
Then if we replace the values of that point in our equation, we get:
0 = -3*0 + b
0 = b
Then line L2 is:
y = -3*x
Then our two lines are:
y = -0.5*x + 8
y = -3*x
Now we want to find the point where these lines intersect. The lines will intersect in one point that belongs to both lines, then we can use the relation:
-0.5*x + 8 = y = -3*x
-0.5*x + 8 = -3*x
now we can solve this for x.
-0.5*x + 8 = -3*x
8 = -3*x + 0.5*x
8 = -2.5*x
8/-2.5 = x = -3.2
Now we need to evaluate one of the lines on this value, i will use line L2
y = -3*(-3.2) = 9.6
Then we can conclude that the lines do intersect in the point:
x = -3.2
y = 9.6
this point is written as: (-3.2, 9.6)
Can somebody help me please
Answer:
182
Step-by-step explanation:
Add them all which is 178 and subtract that number from 360.
370-178=182
an account starts with $500 and is compounded quarterly at 5% interest how much is the account worth after 10 years
Answer:
$1500
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 20%/100 = 0.2 per year,
then, solving our equation
I = 500 × 0.2 × 10 = 1000
I = $ 1,000.00
The simple interest accumulated
on a principal of $ 500.00
at a rate of 20% per year
for 10 years is $ 1,000.00.
2/3 divide by 2/5
help please
Answer: 1 /3
Explantion:
SOMEONE PLEASE HELP WILL GIVE 25 POINTS
Answer:
Step-by-step explanation:
g(x) is vertical translation of f(x) by -12 units
Can anyone help me with this question.
Answer:
y=-5x+9
Step-by-step explanation:
y=-5x+b
y=4 x=1
4=-5(1)+b
9=b
Solve
7 + X = 2x-5
3
Answer:
the exact form is 22/5
decimal form is 4.4
mixed number form is 4 2/5
Step-by-step explanation
isolate the variable by dividing each side by factors that don't contain the variable
A box of cereal contains 10 cups. If each bowl holds 1 1/4 cups of cereal, how many bowls of cereal will you get out of the box?
Answer:
8
Step-by-step explanation:
Answer: 8
Step-by-step explanation: 10 / 1.25 = 8
Prove De Morgan's law by showing that each side is a subset of the other side by considering x ∈ A⎯⎯⎯ A ¯ ∩ B⎯⎯⎯ B ¯ .
Solution :
We have to prove that [tex]$\overline{A \cup B} = \overline{A} \cap \overline{B}$[/tex] (De-Morgan's law)
Let [tex]$x \in \bar{A} \cap \bar{B}, $[/tex] then [tex]$x \in \bar{A}$[/tex] and [tex]$x \in \bar{B} $[/tex]
and so [tex]$x \notin \bar{A}$[/tex] and [tex]$x \notin \bar{B} $[/tex].
Thus, [tex]$x \notin A \cup B$[/tex] and so [tex]$x \in \overline{A \cup B}$[/tex]
Hence, [tex]$\bar{A} \cap \bar{B} \subset \overline{A \cup B}$[/tex] .........(1)
Now we will show that [tex]$\overline{A \cup B} \subset \overline{A} \cap \overline{B}$[/tex]
Let [tex]$x \in \overline{A \cup B}$[/tex] ⇒ [tex]$x \notin A \cup B$[/tex]
Thus x is present neither in the set A nor in the set B, so by definition of the union of the sets, by definition of the complement.
[tex]$x \in \overline{A}$[/tex] and [tex]$x \in \overline{B}$[/tex]
Therefore, [tex]$x \in \overline{A} \cap \overline{B}$[/tex] and we have [tex]$\overline{A \cup B} \subset \overline{A} \cap \overline{B}$[/tex] .............(2)
From (1) and (2),
[tex]$\overline{A \cup B} = \overline{A} \cap \overline{B}$[/tex]
Hence proved.
Find X. Round to nearest tenth. Use pic
Answer:
X=200
First your going to add all sides together. Once you finish you should get
50+55+90=195
after you got your answer your going to round to the tenths if it's higher than 5 your going to make it 200 but if it's lower than 5 than your going to make it 180.
So in our case because it's 195 we're going to turn it into a 200.
I hope this helps
Please help!! will mark brainlyest!!!
find the measure of angle b
Answer all 4 please
Answer: 130, 43, 55, 27
Step-by-step explanation:
9) 130 / it's supplementary to 180
10) 43 / its vertical to 43 meaning its 43
11) 55 / will add up to 360 meaning b = 55
12) 27 / its a 90-degree angle with 63 degrees needing 27
A marker costs $0.99. A pad of paper costs $1.25 more than the marker, which is a more reasonable estimate for the total cost of both items: $2 or $3?
Answer:
$3
Step-by-step explanation:
Because you have to also think about tax of the item. Plus add them both up and it costs $2.24 without tax. Which means it's already above $2.
Jennifer is making a big chili dinner for her family and bought 4000 grams of turkey for the chili. How many kilograms of turkey is
that?
A)2
B)2.5
C3
D)4
Answer:
D
Step-by-step explanation:
Pls help, with explanation if possible
king jon un
Step-by-step explanation:
Expand and simplify (x − 3)(2x + 1)(3x - 2)
Answer:
6[tex]x^{3}[/tex]- 19[tex]x^{2}[/tex]+[tex]x[/tex]+6
Step-by-step explanation:
Answer:
6x³ - 19x² + x + 6
Step-by-step explanation:
Round the nine to the nearest hundred, (947.362)
Answer:
900?
Step-by-step explanation:
.... self explanatory
12+c=n, 1.2+1c=0.25n
Someone plzzz helppp meee
Answer:
The answer is 40 degrees
AD, BE, and CF are all diameters of the circle. The measure of angle AOB is 40 degrees. The measure of angle DOF is 120 degrees.
BOC= ___ degrees.
COD= ___ degrees.
Answer:
Angle BOC is 80 degrees
Angle COD is 60 degrees
Answer:
∠ BOC = 80°, ∠ COD = 60°
Step-by-step explanation:
∠ AOC = ∠ DOF = 120° ( vertical angles ), then
∠ BOC = ∠ AOC - ∠ AOB = 120° - 40° = 80°
-----------------------------------------------------------------
∠ COD = 180° - ∠ AOC = 180° - 120° = 60°
HELP ! On #1 ASAP for math
Answer: 1=2x 2=(0, 1/4)
Step-by-step explanation:
14 less than twice a number is equal to 4 times the number decreased by 38
Answer:
14-2x=4*2x-38
Step-by-step explanation:
9-x<-11
(**hint** x cannot be negative. IF x is negative, that is like having a coefficient of -1...how would you "cancel out" that coefficient? )
Solve
Answer:
Bueno, sí y no. Si está multiplicando dos términos como (x - 2) y (x - 2), usaría el método FOIL: primero, adentro, afuera, último. Vea el diagrama adjunto. Los dos signos negativos se cancelarían entre sí solo al multiplicar los últimos valores. Avísame si necesitas más explicaciones.
-cjhunter.26
A circle has a radius of 8 cm, what is the diameter?
Answer: 16cm
Step-by-step explanation:
The radius is half of the diameter so you would have to double the radius.
Answer:
16cm
Step-by-step explanation:
The diameter of a circle is double the radius, so if a circle has a radius of 8cm, it has a diameter of 16cm because that's double 8cm.
BRAINLIEST WILL BE GIVEN: (25 pts) Hikers are traveling at 3 miles per hour. They leave camp and hike LaTeX: N64^\circ WN 64 ∘ W for 2 hours. They change course to LaTeX: S23^\circ WS 23 ∘ W for 4 hours. How many miles is the trip back to camp. What bearing should they take to head back to camp?
Answer:
1222
Step-by-step explanation:
Find the value of x. Round your answer to the nearest tenth.
Help please!
Answer:
21.47
Step-by-step explanation:
I just used the Pythagorean theorem