(2, 1), (0, -7)
Write an equation of the line that passes through the given points
Answer:
y=4x-7
Step-by-step explanation:
We know that the y intercept is -7 so we can have y=mx-7
And we can get the slope by using the slope formula (y2-y1)/(x2-x1)=m
(2,1) (0,-7)
x1 y1 x2 y2
(-7-1)/(0-2)
-8/-2 = 4
m=4
So just plug it into the equation to get:
y=4x-7
Answer:
y = 4x - 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the t- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 1) and (x₂, y₂ ) = (0, - 7)
m = [tex]\frac{-7-1}{0-2}[/tex] = [tex]\frac{-8}{-2}[/tex] = 4
The line crosses the y- axis at (0, - 7) ⇒ c = - 7
y = 4x - 7 ← equation of line
11. Choose the correct solution and graph for the inequality.
Y+1/5>1/3
Answer:
[tex]y > \frac{2}{15} [/tex]
Which equation has the steepest parabola?
A. (x+2)2=−0.5(y+3)
B. (x−1)2=5(y+3)
C. x2=8(y−1)
D. (x+2)2=−10y
Given:
The equations of parabolas in the options.
To find:
The steepest parabola.
Solution:
We know that, if a parabola is defined as
[tex](y-k)=n(x-h)^2[/tex]
Then, the greater absolute value of n, the steeper the parabola.
It can be written as
[tex]\dfrac{1}{n}(y-k)=(x-h)^2[/tex]
[tex]p(y-k)=(x-h)^2[/tex]
where [tex]p=\dfrac{1}{n}[/tex], the smaller absolute value of p, the steeper the parabola.
Now, find the value of |p| for eac equation
For option A, [tex]|-0.5|=0.5[/tex]
For option B, [tex]|5|=5[/tex]
For option C, [tex]|8|=8[/tex]
For option D, [tex]|-10|=10[/tex]
Since, the equation is option A has smallest value of |p|, therefore, the equation [tex](x+2)^2=-0.5(y+3)[/tex] represents the steepest parabola.
Hence, the correct option is A.
factorise
x² - 7x +10
the diameter of a cart wheel is 26 inches. how far will it go in one rotation?
Answer:
the correct answer is 81.71 inch
Step-by-step explanation:
please mark me as the brainliest answer
Answer:
81.71 inch
Step-by-step explanation:
the diameter of the wheel is 26 inch ,so in one rotation there wheel can travel 81.71 inches.
Luis
Ana
Javier
Precio ($)
100
140
80
Sarape
10
90
50
Aretes
4
Descuento ($)
Precio rebajado ($)
Precio ($)
Descuento ($)
Precio rebajado ($)
Precio ($)
Descuento ($)
6
Blusa
00
Precio rebajado ($)
45
63
Answer:
Espero y esto te ayude :) si me falto algo lo siento.
Step-by-step explanation:
Si se oferta un producto al 10% de descuento, esto significa que el precio final del producto será 90% del precio original. Para hallar estos datos, debemos usar una regla de tres, de la siguiente forma:
100% 90%
-------------------- → ---------------------------
Precio Original Precio con Descuento?
SARAPES
- Ana: descuento (14), precio rebajado 126
Precio rebajado = 140.90 / 100 = 126
Descuento: 140 - 126 = 14
- Javier: descuento (8), precio rebajado 72
Precio rebajado = 80.90 / 100 = 72
Descuento: 80 - 72 = 8
ARETES
- Luis: descuento (5), precio rebajado 72
Precio rebajado = 50.90 / 100 = 45
Descuento: 50 - 45 = 5
- Ana: Precio original (60) , descuento (6), precio rebajado 54
Precio original: X.0,10 = 6
X = 60
Precio rebajado: 60 - 6 = 54
- Javier: Precio original (40) , descuento (4), precio rebajado 36
Precio original: X.0,10 = 4
X = 40
Precio rebajado: 40 - 4 = 36
n (blank exponent) = 1/64 when n = 1/4
Answer:
The blank exponent is 3
Step-by-step explanation:
It is given that n^x=1/64 where n=1/4
1/4^x=1/64
1/4*1/4*1/4=1/64, so x=3 works as a solution. You could use logarithms, but it makes things more difficult, especially in this case.
Caroline , Colin and Sarah Share some money , Caroline gets 1/10 of the money. Colin and Sarah Share the rest in the ratio 2:7 what proportion does Colin gets?
Answer:
1/5
Step-by-step explanation:
10/10-1/10=9/10=Colin and Sarah share
2x+7x=9x=Colin and Sarah share
9x=9/10
x=1/10
Colin=2x=2/10=1/5
The ratio shows how many times one value is contained in another value.
The proportion that Caroline gets is 1/10.
The proportion that Colin gets is 2/10.
The proportion that Sarah gets is 7/10.
So,
The proportion that Colin gets is 7/10 of the money.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
Let the total amount of money be 1.
Caroline:
Share = 1/10 of the money
Remaining money:
= 1 - 1/10
= 9/10
Colin and Sarah:
Share = 2:7
Colin share = 2/9 x 9/10 = 2/10
Sarah share = 7/9 x 9/10 = 7/10
The proportion that Caroline gets is 1/10.
The proportion that Colin gets is 2/10.
The proportion that Sarah gets is 7/10.
Thus,
The proportion that Colin gets is 7/10 of the money.
Learn more about ratios here:
https://brainly.com/question/2462048
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Write the following expression in words x+7
Answer:
The sum of 7 and x.
Step-by-step explanation:
PLS GIVE BRAINLIEST
Please help! Due tonight!
Answer:
D) x= square root of 89
Step-by-step explanation:
To find the missing side, use the equation a^2+b^2=c^2. You would plug 5 in for a to get 25 and 8 in for b to get 64. You would add those to get that 89 is equal to c^2 so you would get c by itself and and find that the answer is D. :)
a) Write 600 as the product of prime factors.
Give your answer in index form.
Answer:
The prime factorization of 600 is 2, 2, 2, 3, 5, and 5
Answer:
600 = 2 × 2 × 2 × 2 × 3 × 3 × 5
Step-by-step explanation:
2 |600
2 |300
2 |150
2 |75
3 |15
3 |5
5 |1
help me out!!
what is the area of the figure to the nearest hundredth
find the value of :x^2+2xy+y^2-3x-3y-1
have: x^2-y=y^2-x (x[tex]\neq[/tex]y)
Answer: The answer is x^2+2xy+2y^2–3x–3y–1
Step-by-step explanation: Move 2 to the left of y^2.
Dimensions of a building are 654 feet by 264 feet. If 1 inch represents 64 feet, what are the dimensions of the building on the drawing?
Answer:
10.2 inches by 4.125 inches
Step-by-step explanation:
PLS GIVE BRAINLIEST
Find the number,if 1/5 of it is 15
Answer:
The number is 75
Step-by-step explanation:
Let x be the unknown number
of means multiply and is means =
1/5 x = 15
Multiply each side by 5
5 * 1/5 x = 5*15
x = 75
Answer:
75
Step-by-step explanation:
please help me with this! this was due yesterday and i need to get it done but im stuck on this question
Answer:
60* and 30*
Step-by-step explanation:
If two angles are complementary then they will add up to be 90, or inversely, if two angles add up to be 90, then they are complementary. If you know one acute angle, you can calculate its complementary angle by subtracting 90 and the angle.
Answer:
m<qrt and m<trv because complementary angles add up to 90 degrees :)
is it grabbed or grab in this sentence
Answer:
grabbed
Step-by-step explanation:
just lose the is
i need some help please
Answer:
83100000+1010=831,000,1010
i think option 2
Step-by-step explanation:
Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently.
Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300.
Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn.
Salesman C does not earn any commission. His weekly salary is $900.
Suppose Salesmen A and B have the same number of sales and earn the same amount in Week 4 of this month. How many sales must they both have had?
sales
Answer:
12 sales
Step-by-step explanation:
a and b
65 per sale maximum commision 1300 so no base
40 per sale base 300
Set up equation:
[tex]65x=40x+300[/tex]
Solve:
[tex]25x=300[/tex]
[tex]x=12[/tex]
So they must have had 12 sales.
Hope this helps :D
4.62 x 108 tins of beans were sold last year.
These tins of beans cost a total of £300.3 million.
Work out the average cost per tin of beans.
Step-by-step explanation:
If that says 4.62x10⁸, then you would do
300,300,000/4.62x10⁸
where you would get 0.65
so the average cost per tin of beans is 65p
The average cost of each tin of beans = 0.602 million per tin.
Calculation of average costThe total tin of beans sold last year = 4.62 x 108+
= 498.96
The total cost of the beans sold last year = £300.3 million
If 498.96 tins = £300.3 million
1 tin of beans = £X
Make £X the subject of formula,
£X = £300.3 million/498.96
£x = 0.602 million
Therefore, the average cost of each tin of beans = 0.602 million per tin.
Learn more about cost here:
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it takes 8 minutes for peter to make 2 laps around the go kart track. how many laps can sue complete in 24 minutes
This is your perfect answer
2. The amount of your bill is $3.10. You give the cashier $5.00. Complete
the table to show how the cashier might return the change.
+
Coins Given to
Convenient Amount
Customer
Reached
The bill is $3.10.
a1 nickel
dimes
$5.00
Pls help
Step-by-step explanation:
I add the $3.10 with the $5.00 add I get $8.1 that's what I get for my answer I hope you it helps you out
The measures of the angles of a triangle solve for X
Answer:
x = 7
Step-by-step explanation:
Because this is a right triangle, one angle is a right angle (90°). All triangles have all three angle measures adding up to 180°, so the other two angles' measures add up to 90° (90 + 90 = 180).
Combine like terms of the angle measures.
6x + 9x = 15x
-3 + (-12) = -15
15x - 15
Because the sum of the measures of the two angles have to equal 90,
15x - 15 = 90
Add 15 from both sides.
15x = 105
Divide both sides by 15.
x = 7
To check, substitute 7 in both expressions.
6(7) - 3 = 39
9(7) - 12 = 51
39 + 51 + 90 (the measure of the right angle) = 180, so the value of x is 7.
I hope this helped :)
72.50$ markup 30% plz
Answer:
$94.25
Step-by-step explanation:
You would also have a $21.75 profit
Answer:
$94.25
Step-by-step explanation:
72.5*0.3=21.75
21.75+72.5=94.25
Johanna rode
8 miles in
40 minutes on her mountain bike.
Answer:
Johnson rode her bike 5 miles
Step-by-step explanation:
Angela asked each student in her class about the height of the fence around their house. She made the histogram below to
represent the heights of each student's fence.
Height of Fence
16
14
12
10
Students
8
6
4
2
8
10
12
6
Feet
Which statement is true?
OA. The data distribution is both symmetric and skewed.
OB. The data distribution is skewed to the right.
OC. The data distribution is skewed to the left.
OD. The data distribution is symmetric.
Answer:
Angela asked each student in her class about the height of the fence around their house. She made the histogram below to
represent the heights of each student's fence.
Height of Fence
16
14
12
10
Students
8
6
4
2
8
10
12
6
Feet
Which statement is true?
OA. The data distribution is both symmetric
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
what is 9 as a decimal?
Answer:
0.09 is 9 as a decimal
somebody please help i made this worth 50 points i need help on a transversals test
Answer:
I do not know what this is
Step-by-step explanation:
» Avery states that the graph of g is the same as the graph of f with every
point shifted vertically. Cindy states that the graph of g is the same as the
graph of f with every point shifted horizontally.
f(x)=2x+1
g(x)=2x+3
Give an argument to support Avery’s answer
Give an argument to support Cindy’s statement
Answer:
Avery is right, because [tex]g(x) = f(x)+2[/tex].
Cindy is right, because [tex]g(x) = f(x+1)[/tex].
Step-by-step explanation:
Let [tex]f(x)[/tex] and [tex]g(x)[/tex] functions, then [tex]g(x)[/tex] is the vertical translated version of [tex]f(x)[/tex] if and only if:
[tex]g(x) = f(x)+k[/tex], [tex]\forall \,k\in \mathbb{R}[/tex]
[tex]k = g(x)-f(x)[/tex]
If we know that [tex]f(x) = 2\cdot x + 1[/tex] and [tex]g(x) = 2\cdot x + 3[/tex], then:
[tex]k = (2\cdot x + 3) - (2\cdot x +1)[/tex]
[tex]k = 2[/tex]
Then, Avery is right, because [tex]g(x) = f(x)+2[/tex].
Let [tex]f(x)[/tex] and [tex]g(x)[/tex] functions, then [tex]g(x)[/tex] is the horizontal translated version of [tex]f(x)[/tex] if and only if:
[tex]g(x) = f(x+k)[/tex], [tex]\forall \,k\in \mathbb{R}[/tex]
If we know that [tex]f(x) = 2\cdot x + 1[/tex] and [tex]g(x) = 2\cdot x + 3[/tex], then:
[tex]g(x) = 2\cdot x + 3[/tex]
[tex]g(x) = 2\cdot x + 2 + 1[/tex]
[tex]g(x) = 2\cdot (x+1)+1[/tex]
[tex]g(x) = f(x+1)[/tex]
Then, Cindy is right, because [tex]g(x) = f(x+1)[/tex].
please answer this math question