Answer:
For the column "Slope Intercept", the graph is displaying y = -7/2x + 3. Because the line is going down 7 units and to the right 2 units, and the 3 is the point in which the line crosses the y-axis.
For the "Standard" column, it will be
7x + 2y = 6, because that's what it would look like in standard form. (To turn it from standard to slope intercept form, remember you must first subtract 7x on both sides to get 2y = -7x + 6, and then divide by 2 on both sides to get
y = -7/2x + 3.)
For column "Point Slope", I just realized you are supposed to pick a point on the line and plug the coordinates into this formula:⤵⤵⤵
This is the point-slope formula.⤵⤵⤵
[tex]y - y _{1} = m(x - x _{1})[/tex]
For example we'll use point (2,-4). Also, remember that coordinates are written as (x,y), and that m represents slope.
So we have: y - (-4) = -7/2(x-2).
In other words, "Point Slope" would be
y + 4 = -7/2(x-2).
By the way, sorry this is a bit long, and took a while to complete. I had to re-educate myself on point-slope. Anyways hope this helps, I tried :)
Find the constant of proportionality and write an equation for the following proportional relationship.
You drove 330 miles in 6 hours.
Use d to represent the distance you drove and t to represent the time
Answer:
NoShutterStock gives the correct value: 55 miles/hr (mph)
I'll only add that distance, d, is the product of time, t, and speed, s.
(Distance, d) = (Time, t x) (Speed, s)
d = ts
330 miles = (6 hours)*(s)
s = 330 miles/6 hours, or 55 mph
Step-by-step explanation:
The constant of proportionality and the equation for the proportional relationship are 55 miles per hour and y = 55x respectively.
What is proportionality?Two quantities are said to be in direct proportion (or directly proportional), if one is a constant multiple of the other, i.e. y is said to be directly proportional to x if y = kx where k is a constant.
Given that, find the constant of proportionality and write an equation for the following proportional relationship.
"You drove 330 miles in 6 hours."
Here, the constant of proportionality =
330/6 = 55 miles per hour
The equation for the proportional relationship =
y = 55x
Where, y is total distance and x is hour of travelling.
Hence, the constant of proportionality and the equation for the proportional relationship are 55 miles per hour and y = 55x respectively.
Learn more about proportionality, click;
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what are some different ways to write c=2.95g
Heyy help me do this question please and thanks
Answer:
[tex]2.757*10x^{-4}[/tex]
The bakery decides to
make only 100 corn muffins on Tuesday. How many
kilograms of sugar will be needed?
Answer:
we need to know how many kilograms are in each corn muffin to answer that queastion
Step-by-step explanation:
we need to know how many kilograms are in each corn muffin to answer that queastion
A SQUARE RECTANGULAR PRISM (BASE IS A SQUARE) HAS A
VOLUME OF 38 CU. IN. THE HEIGHT IS 10 LESS THAN THE AREA
OF THE BASE. WHAT IS THE HEIGHT? NO UNITS.
The height of the prism [tex]\approx 2.9[/tex]
The whole volume of the prism is
[tex]\text{Volume} = \text{Area of base}\times \text{Height}[/tex]
Here, the volume is 38 cu. in.
From the question, the area and the height are related as follows;
[tex]\text{Height} = \text{Area} - 10 \implies \text{Height + 10} =\text{Area}[/tex]
Substituting this into the formula for the volume, we get
[tex]\text{Volume}=(\text{Height} +10)\times \text{Height}=38\\\\\text{Height}^2 + 10\times\text{Height}=38\\\\\text{Height}^2 + 10\times\text{Height}-38=0[/tex]
If the above quadratic equation is solved for the height, we get
[tex]\text{Height}\approx 2.9[/tex]
(We can't take the other solution since height has to be greater than zero)
Another word problem on volume can be found in this link: https://brainly.com/question/17142547
PLEASE HELP ME I'LL GIVE YOU BRAINLIEST
Answer:
1. The measure of a right angle is greater than the measure of an acute angle.
2. Given
3. Perpendicular lines form right angles.
4. If two angles of a right triangle...
(Please thank and rate if my answer helped!!!!)
Step-by-step explanation:
Find the measure of X
Answer:
x = 6
Step-by-step explanation:
When parallel lines are intersected by a transversal
alternate exterior angles are congruent
Therefor
15(x + 2) = 120
Divide both sides by 15
x + 2 = 8
Subtract 2 from both sides
x = 6
Answer:
Step-by-step explanation:
here 120 degrees would be the same as 15(x+2)
Just like how angle R on the other side of 120 Degrees is the same
so 15(x+2) = 120 degrees
let us distribute
15x +30 = 120
-30 -30
15x=90
15x/15=90 /15
x=6
so what you have selected is correct
The angles of a triangle are in the ratio 2 : 3 : 4 . find the angles of the triangle .
don't give unwanted ans to get the points
well explained ans needed !!
spammers and plagiarism = reported
thx !!
[tex]\pink{Answer}[/tex]
The measure of ∆a = 2x The measure of ∆b = 3x The measure of ∆c = 4x[tex]\\ \sf\longmapsto2x + 3x + 4x = 180 \\ [/tex]
[tex]\\ \sf\longmapsto9x = 180 = > x = 20[/tex]
[tex]\\ \sf\longmapsto \: a = 2x = 2 \times 2 0 = 4 0 [/tex]
[tex]\\ \sf\longmapsto \: b \: = 3x = 3 \times 20 = 60[/tex]
[tex]\\ \sf\longmapsto \: c = 4x = 4 \times 20 = 80[/tex]
hence , angles of the triangle are 40 , 60 and 80
The angles of a triangle are in the ratio 2 : 3 : 4 . find the angles of the triangle .
Answer:-40° , 60° and 80°
Explanation:-We know that sum of all the angles of a triangle adds to 180° .
Let the angles be 2x , 3x and 4x
Now,
=> 2x + 3x + 4x = 180°
=> 9x = 180°
=> x = 180/9
=> x = 20°
(The value of x is 20)
2x = 2 × 20 = 40°3x = 3 × 20 = 60°4x = 4 × 20 = 80°a square lot has a side of 8 5/8 meters,what is the area of the lot?
Find the measures of the interior angles of the triangle.
Answer:
Imagine that scientists have just discovered a non-bird dinosaur skeleton. They want to know whether the dinosaur was closely related to birds. What features in ...
Step-by-step explanation:
SnackTime Foods produced 3,181,990 grams of popcorn last year, which was placed in 7- gram bags. How many bags did the company fill? bags Submit
Answer:
The company filled 454570 bags.
Step-by-step explanation:
Can you do it?I can’t understand
Answer:
489,162
Step-by-step explanation:
Hope it can help you lovelots
2. Theorem 2-10 states that through a point not on a line, there
is one and only one line parallel to the given line. How does this
justify the construction of the line through C that is parallel to
the line AB?
When two or more lines are parallel to each other, this implies that they do not meet even extending them till infinity. So the statement justifies the construction because only one line through point C can be constructed to be parallel to AB.
When a parallel line is constructed through a point to a given line, this is the only parallel line that can be drawn to the given line. Parallel lines are lines that will not meet at any point. Thus, only one parallel line can be constructed through a point not to a given line.
The construction of a line through C that is parallel to line AB is justified by the given statement in the theorem since this is the only parallel line to line AB that can be drawn through the point C. Any other line through C would intersect or meet line AB at a point when extended, thus would not be parallel to the given line.
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The annual snowfall in city A is 45.8 inches. This is 14.2 inches more than 4 times the snowfall in city B. Find the annual snowfall for city B.
Answer: 7.9inches
Step-by-step explanation:
45.8-14.2=31.6
31.6/4=7.9
Solve the simultaneous equations
3x - y = 5
-x + y = -1
Answer:
x= 2, y= 1
Step-by-step explanation:
3x -y= 5 -----(1)
-x +y= -1 -----(2)
(1) +(2):
3x -y -x +y= 5 -1
2x= 4
Divide both sides by 2:
x= 4 ÷2
x= 2
Substitute x= 2 into (2):
-2 +y= -1
y= -1 +2
y= 1
The sum of three consecutive numbers is 72.
What IS the smallest of these numbers?
In the circle below, suppose m STQ = 102° and mZTSR=56º. Find the following.
Answer:
q
Step-by-step explanation:
Khloe invests money in an account paying a simple interest of 7% per year. If she
invests $140 and no money will be added or removed from the investment, how much
will she have in one year, in dollars and cents?
Answer: $149.8
Step-by-step explanation:
Find the 1% of the 140 which is 1.4 because 140/100 = 1.4
Times by 7 to get 7%. 1.4 x 7 = 9.8
Add them together. 140+9.8 = 149.8
Bottled water comes in cases of 24 bottles. You need 150 bottles of water for a school event. How many cases of water do you need to buy?
Enter a unit that best describes the number.
Number 24. unit {uh plz help with this part if u can }
Answer:
6.25 is the exact number, but you should round it to 6
Step-by-step explanation:
150/24=6.25.
It also equals 6 if you round it.
HELP!!!! need help with this due tonight pls someone
Answer:
the photos isn't clear!
PLEASE HELP ME!!
Find the domain, in interval notation too.
I sadly do not have an answer to this problem but, have a great explanation for a similar problem. (I really am sorry that I don't have the answer, in a bit of a time constraint)
Step-by-step explanation:
Example (graph found below):
The domain of a function f(x) is the set of values of x for which f(x) has a defined value.
In the graph we can see that we have two asymptotes: one vertical and one slant asymptote.
The slant asymptote does not affect the domain, but the vertical asymptote at x = 0 implies that f(x) does not have a defined value at x = 0.
Then, x = 0 is not part of the domain of f(x). All the real numbers different from 0 are part of the domain.
Then, we can write the domain as x ≠ 0 or, in interval notation, as (-∞,0) ∪ (0,∞).
Answer: the domain is all the real numbers different from 0.
NOTE:
If we want to know the range of the function, we have to look at the values that f(x) can take for the domain for which it is defined.
In this case, we can see that there is no limitation for the values f(x) can take: f(x) can take all real numbers, so the range is all real numbers.
Answer:
[tex]D = (-\infty, -1) \ \cup \ (-1, 2) \ \cup \ (2, \infty)[/tex]
Step-by-step explanation:
This function is rational function that's meaning that is of the form:
[tex]\frac{1}{x}[/tex]
So you have to take care when [tex]x[/tex] is equal to 0 because the function is undefine in that number (is represented with an asymptote and means that go to positive or negative infinity).
In the given graph there are 2 asymptotes in -1 and 2 so you have to avoid this two points in the notations by intervals. You can achieve this using the parenthesis indicating that you don't take the value in account.
.Question.[Mathematics]
5! + 5! =
5! + 5! = ?
= 5 × (5 - 1) × (5 - 2) × (5 - 3) × (5 - 4) × 2
= 5 × 4 × 3 × 2 × 1 × 2
= 120 × 2
= 240
[tex] \: \: \: \: \: \: [/tex]
[tex] = 120 \times x![/tex]
step by step explanation[tex]5! \times 5![/tex]
use n! =n ×( n - 1 ) × ...× 2 × 1 to calculate the factorial[tex]5 \times 4 \times 3 \times 2 \times 1 \times x![/tex]
calculate the product[tex] = 120 \times x![/tex]
hope it helps[tex] \: \: \: \: \: \: [/tex]
what is the number name of (i)46,25,689and (ii)658,902,250
Answer:
forty six hundred thousand tweny five thound and six hundred eighty nine
six hundred and fifty eight hundred nine thoundsand two and two hundred and fifty
Step-by-step explanation:
Find the radius of the button.
A circular button with a diameter of 5 centimeters.
Answer:
r = 2.5 cm
Step-by-step explanation:
The radius is 1/2 of the diameter
r = 1/2 (d)
r = 1/2 (5)
r = 2.5 cm
what is 12 times the exponent of 7 squared
Answer:
13841287201
Step-by-step explanation
7×7×7×7×7×7×7×7×7×7×7×7=13841287201
Answer:
7
×
7
×
7
×
7
×
7
=
7
5
Step-by-step explanation:
Find the integer value of x that satisfies both the inequalities
x + 5 > 8 and 2x - 3<7 il edmun er
Answer:
x = 4 is the solution
Step-by-step explanation:
Solving the inequalities
x + 5 > 8 ( subtract 5 from both sides )
x > 3
-------------
2x - 3 < 7 ( add 3 to both sides )
2x < 10 ( divide both sides by 2 )
x < 5
The only integer value of x > 3 and < 5 is 4
if f(x)=1/x+2 what is f(3+h)?
If x is the only thing in the denominator, then,
[tex]f(x) = \frac{1}{x}+2\\\\f(3+h) = \frac{1}{3+h}+2\\\\f(3+h) = \frac{1}{3+h}+2\left(\frac{3+h}{3+h}\right)\\\\f(3+h) = \frac{1+2(3+h)}{3+h}\\\\f(3+h) = \frac{1+6+2h}{3+h}\\\\f(3+h) = \frac{7+2h}{3+h}\\\\[/tex]
We replace every copy of x with 3+h, as shown in the second step. Afterwards, we can optionally simplify to form one big fraction.
---------------------------------------------------------------------------
Or if the "x+2" is in the denominator, then we have these steps:
[tex]f(x) = \frac{1}{x+2}\\\\f(3+h) = \frac{1}{3+h+2}\\\\f(3+h) = \frac{1}{h+5}\\\\[/tex]
help help help help pls
Answer:
hope this helps
Step-by-step explanation:
a. 1/4 as a power of 2 = root 4 v/2
b.
Radium-226 mass decays to 1/4 of it mass every 6400 years
64gr ( 1/4) = 16gr ----→after 6400 years its mass is 16gr
now its current mass is 16gr
16gr (1/4) = 4gr -----> after another 6400 years its mass is 4gr
again, its current mass after 12800 years is 4gr
4gr (1/4) = 1gr ------> after another 6400 years its mass is 1gr
why 4600 3 times? = 4600+4600+4600 = 19200 years
the remaining mass after 19200 years is 1gr
Rackel runs 3.2 miles each weekday and 1.5 each day of the weekend how many miles will she rin i 6 weeks
Answer:
114
Step-by-step explanation:
3.2 x 5 cause of the weekdays and 1.5 x 2 cause of the weekends. so then you have 16 and 3. Then you x's it soo 16x6 weeks and 3x6 weeks which equals 96 and 18 then you add thos together.
Ricardo borrows $1,850 for 10 months at an interest rate of 12.25%. What amount will
he have paid back at the end of the loan period?
9514 1404 393
Answer:
$2038.85
Step-by-step explanation:
The value of the loan at that point is given by ...
A = P(1 +rt) . . . . . Principal P, rate r, time t (years)
A = $1850(1 + 0.1225·(10/12)) = $2038.85
Ricardo will have paid back $2038.85 at the end of the loan period.
_____
Additional comment
We assume that the loan accrues simple interest and that the amount due is the sum of principal and interest at the end of the loan period.
The question is not specific as to whether interest compounds, or whether intermediate (monthly) payments are made. There are many possible ways the loan could be repaid, generally involving different amounts for the different terms.