Answer:
y = 3x - 3
Step-by-step explanation:
This more of a guess than a reality of method. You have to try and guess which number when multiplied by 4 will give 9. It won't happen directly.
The best clue is provide by (0,-3).
So let's start with a general linear equation.
y = mx + b
If you put in 0 for x then mx disappears and you are are left with y = - 3
That means that b = - 3
So now you have
y = mx - 3
Now try another one
y = mx - 3
y = 9
x = 4
9 = mx - 3
9 = 4m - 3 Add 3 to both sides
9+3 = 4m-3+3 Combine
12 = 4m Divide by 4
12/4 = 4m/4
3 = m
So the equation you want so far, is y = 3x - 3 Does it work for anything else?
Try - 3 , - 12 . If it works for this, it should work for anything.
y = 3*-3 - 3
y = -9 -3
y = - 12
and it does work, so that's your answer.
The cost of 5 scarves is $33.75. What is the unit price?
Answer:
$6.75
Step-by-step explanation:
Divide 33.75 by 5, they are $6.75 each
Find sum of arithmetic series where a1 = 7, n=31, nth a =127
Answer:
Sum of arithmetic series is [tex]2077[/tex]
Step-by-step explanation:
We have [tex]n[/tex]th term of arithmetic sequence
[tex]a+(n-1)d[/tex]
Here
[tex]a+(n-1)d=127\\\\7+(31-1)d=127\\\\d=\frac{120}{30} \\\\=4[/tex]
Sum of arithmetic sequence [tex]=\frac{n}{2} (2a+(n-1)d)[/tex]
[tex]=\frac{31}{2} (2\times7+(31-1)4)\\\\=\frac{31}{2} (14+120)\\\\=31\times67\\\\=2077[/tex]
Answer:
The sum of arithmetic series is 2077.
Step-by-step explanation:
Solution :
Here we have provided that :
»» [tex]\rm{a_1}[/tex] = 1»» [tex]\rm{n}[/tex] = 31»» [tex]\rm{a_n}[/tex] = 127We need to find :
»» The sum of arithmetic series.Here's the required formula to find the sum of arithmetic series :
[tex]\longrightarrow{\pmb{\sf S = \dfrac{n}{2} \Big(a_1 + a_n \Big)}}[/tex]
Substituting all the given values in the formula to find the sum of arithmetic series :
[tex]{\longrightarrow{\sf S = \dfrac{n}{2} \Big(a_1 + a_n \Big)}}[/tex]
[tex]{\longrightarrow{\sf S = \dfrac{31}{2} \Big(7 + 127 \Big)}}[/tex]
[tex]{\longrightarrow{\sf S = \dfrac{31}{2} \Big(134 \Big)}}[/tex]
[tex]{\longrightarrow{\sf S = \dfrac{31}{2} \times 134 }}[/tex]
[tex]{\longrightarrow{\sf S = \dfrac{31}{\cancel{2}} \times \cancel{134 }}}[/tex]
[tex]{\longrightarrow{\sf S = 31 \times 67}}[/tex]
[tex]{\longrightarrow{\sf S = 2077}}[/tex]
[tex]\star \: {\underline{\boxed{\sf{\red{S = 2077}}}}}[/tex]
Hence, the sum of arithmetic series is 2077.
[tex]\rule{300}{1.5}[/tex]
6x+3y=-3 how to graph it need answers quick
Answer:
Equation in slope intercept form: y = -2x -1
Step-by-step explanation:
First you must convert this equation from standard form to slope intercept form (y=mx+b).
Subtract 6x on both sides to get 3y = -6x - 3. Then divide by 3 on both sides to get y = -2x - 1.
Now to graph:
First we will plot the y-intercept, which will be (0,-1). The point will be on the y-axis, since that's the point in which the line will cross.
Next we will go down 2 units and over to the right 1 unit, until we get to the next point.
(Picture is attached above for your convenience⤴⤴⤴)
Hope this helps you :)
A triangle has vertices at (1, 1), (1, 4), and (−3, 4).
What are the coordinates of the circumcenter?
Answer:
(-1, 2.5) is correct
Step-by-step explanation:
Given
Let A(1, 1)
Let B(1, 4)
Let C(-3, 4)
Let coordinates of the circumcenter is (x, y)
Using distance formula put the y value in this equation
So the coordinates of the circumcenter is (1, 2.5)
Step-by-step explanation:
Sorry it's so long.
Please help me 50 POINTS and BRAINLIEST TO CORRECT ANSWER!!!!!!!
Answer:
your answer is the last option
Step-by-step explanation:
There is no way to prove what the length for line WU is. You can find the side lengths for VW and VU but not WU. Therefore the last option is the correct answer
y=1.5x+8 which represents the equation when solved for x?
[tex]y=1.5x+8\\\\\implies 1.5x = y-8\\\\\implies x = \dfrac{y-8}{1.5}\\\\\implies x = \dfrac{y-8}{\tfrac 32}}\\\\\implies x = \dfrac{2(y-8)}{3}\\\\\implies x = \dfrac 23 y- \dfrac{16}3[/tex]
Rita’s earnings are based on how many hours she works. Rita worked 22 hours and earned $379.50. What would Rita earn for working 52 hours?
Rita will earn $897 for working 52 hours.
Word problems in mathematics are mathematical operations that are applied to solve real life cases.
From the information given:
Rita's earnings are dependent on the hours she worksIf Rita worked for 22 hours, she earns $379.50
Now, if Rita worked for 52 hours, the amount Rita will earn can be expressed by using the relation:
[tex]\mathbf{= \dfrac{52 \ hours \times \$379.50}{22 \ hours} }[/tex]
= $897
Learn more about word problems in mathematics here:
https://brainly.com/question/21405634
Please help me please please please
Answer:
Perpendicular bisector
Step-by-step explanation:
2/3 of 12 3/8
this is easy but im dum.b
Answer: 17/2
Step-by-step explanation: 2/3 of 12 3/8 = 8.25
8.25 as a fraction= 17/2.
Answer:
17 divided by two
Step-by-step explanation:
Valeria works in a law office. Her annual salary is $24,000. Valeria pays income tax at a rate of 15% on her earnings. How much income tax does Valeria pay?
A. $3,600
B. $1,200
C. $360
D. $12,000
Answer:
A.$3,600
Step-by-step explanation:
24,000*15% = 3600
or
24,000*0.15 = 3600
Answer:
A
Step-by-step explanation:
24000x15/100
5 What rate of interest is paid on a deposit of $2000 which earns $400
interest in 5 years?
Answer:
4%
Step-by-step explanation:
Given
I = 400P = 2000R = ?T = 5 yearsFormula
I = PRTSolving.
I = PRT400 = 2,000 × R × 5400 = 10,000 × R400 / 10,000 = R0.04 = RChange 0.04 to percent
0.04 × 100 = 4%Answer:
4%Help please, 9th grade math.
Answer:
table k
Step-by-step explanation:
4:3 ratio
Every eight minutes the river raft can load 88 passengers what is the loading rate for passengers per minute
Answer:
11 passengers per minute.
Step-by-step explanation:
To find how many passengers board the boat in a minute, you'd have to divide 88 with 8.
88/8 = 11
To check:
11 passengers per min x 8 mins = 88 passengers.
2(1+a) * 5(1+a)
help u u want to help or else continue helping
Step-by-step explanation:
We simply multiply what there is to multiply:
10(1+a)^2 = 10a^2 + 20a + 10
26 kg of potatoes cost $210.60. How much would 6 kg cost?
Answer:
$48.6
Step-by-step explanation:
We have to use Unitary Method, means, we'll first have to find cost of one unit.
26 Kg ---------> $210.601 Kg ---------> $210.60 / 266 Kg ---------> $210.60/26 x 6 = $48.6Hope it helps :)
QUICKEST ANSWER GETS BRAINLEIST.
Tamara wants to rent a jet-ski. Tamara's deal is to pay $60 to rent the jet-ski, plus $12.50 per hour. If
Tamara has $135 how many hours can Tamara use the jet-ski?
Answer:
6 hours.
Step-by-step explanation:
deal: 135-(60+12.5h)=y
let h= # of hrs
135-60=75.
75/12.5=6 hours.
A car travels 220 miles in 3 hours 20 minutes. What is its average speed?
Answer:
66 miles per hour
Step-by-step explanation:
average speed = distance / time
distance : 220 miles
time : 3 hours 20 minutes or 3.33 hours
220 miles / 3.33 hours = 66 miles per hour
y³ written in expanded form is
What is the area of a rectangle with the following measurements:
Answer:
24x^5
Step-by-step explanation:
3 x 8 = 24
x multiplied by x^4 = x^5
(the exponents add to each other when multiplied)
Use the factorial operation to evaluate 4!
4×3×2×1
4+3+2+1
4.321
4-3-2-1
Answer:
4x3x2x1=25
Step-by-step explanation:
hope this helps :)
In this diagram shown,
PQRS is a rectangle
Answer:
In the figure, PQRS is a rectangle. If the shaded area is 72 sq. cm,...In the figure, PQRS is a rectangle. If the shaded area is 72 sq. cm, find h
EXPLANATION
From the diagram, PQRS is a rectangle
Area of shaded part = 72sq.cm
But 72 = 3h - 4 + 6h - 4 + 4h
= 72 - 16h - 8
= 16h - 72 + 8
=16h = 80
h = 80/16
= 5cm
(x+3³):(x+3)
Ehjensnsn
Answer:
x + 27
——————
x + 3
Step-by-step explanation:
rectangle A and B are identical. each has a perimeter of 40cm. they are put together to make a new rectangle. the perimeter of the new rectangle is 68cm. work out the length and width of rectangle A.
Answer:
6 cm by 14 cm
Step-by-step explanation:
The perimeter of the joined figure will be the sum of the perimeters of rectangles A and B, less the lengths of the sides that are joined. The two joined sides have a total length of ...
(40 cm) +(40 cm) -(68 cm) = 12 cm
Then the length of the joined sides is 6 cm. The length of the other side of the rectangle is the difference between half the perimeter and this, or ...
(40 cm)/2 -6 cm = 14 cm
The length and width of rectangles A and B are 14 cm and 6 cm. When put together, they are joined on the 6 cm side.
A recursive rule for a geometric sequence is
a1 = 9; an = 2/3 (an−1)
What is the iterative rule for this sequence?
A.) an = 9 • (2/3)^n
B.) an = 2/3 • 9^n
C.) an = 9 • (2/3)^n-1
Answer:
C. [tex]a_n=(9)(\frac{2}{3})^{n-1}[/tex]
Step-by-step explanation:
Iterative geometric sequence:
[tex]a_n=a_1x^{n-1}[/tex]
Recursive geometric sequence:
[tex]a_n=xa_{n-1}[/tex]
The equations are very similar and you only really need to rearrange it. The factor (2/3) and the first term (9) are given, so you can write the iterative equation:
[tex]a_n=(9)(\frac{2}{3})^{n-1}[/tex]
And so the answer is C.
How to rationalize the denominator that is a radical.
Answer:
Option B is the correct answer, 3√2
Sally saved 65% of her pay check. If she made $500, how much did she save?
Answer: 325 dollars
Step-by-step explanation:
In order to find out a percentage of somethin, you can simply multiply and divide
[tex]500*65=32500[/tex]
32500÷100= 325
A shoe sales associate earned $300 in August. In September she earned 8% more than she did in August. How much did she make in September?
Answer:
she earned $324 in September
Answer:
she earned 240 dollars
Step-by-step explanation:
can you please mark me as brainlyist
x-2/7=8
Give your answer in improper fraction
Given each function and domain, find the range values. y=3/5x+2; domain: {-10,0,5}
Given the function
[tex]y=\dfrac{3}{5}x+2[/tex]
and its domain [tex]\{-10,0,5\}[/tex], its range is [tex]\{-4,2,5\}[/tex]
The domain of a function is the set of all possible values that we can input to the function.
The range of a function is the set of all possible values that a function can output.
For the function
[tex]y=\dfrac{3}{5}x+2[/tex]
if the domain is the set [tex]\{-10,0,5\}[/tex], we can get the range by substituting each value in the domain into the function. The resulting set of values gives the range of the function.
The range will then be
[tex]\left\{\dfrac{3}{5}(-10)+2, \dfrac{3}{5}(0)+2,\dfrac{3}{5}(5)+2\right\}\\\\=\left\{3(-2)+2, 3(0)+2, 3(1)+2\right\}\\\\=\left\{-4, 2, 5\right\}\\\\[/tex]
Learn more about function domain and range here https://brainly.com/question/13824428