Answer:
y=2x+3
Step-by-step explanation:
Because the y-intercept starts at 3 and it goes up by 2 and to the side 1 so it would be y = 2x +3
Answer: y = 2x + 3
Step-by-step explanation:
We will write the equation in slope-intercept form.
y = mx + b
The slope can be found with "rise over run" since we have clear points on the graph.
Start at (0, 3), count up 2 units, and count one unit to the right. This gives us a slope of positive 2.
Rise / run = 2 / 1 = 2
The "b" value is where the line hits the y-axis. It hits the y-axis at y-coordinate 3, so our y-intercept is positive 3.
Final equation:
y = 2x + 3
7. For a party, Allison orders 15 pizzas. Some of the pizzas are pepperoni and cheese and cost $11.50 each. The rest of the pizzas are deluxe and cost $15.25 each. The total cost for the pizzas including a $5 delivery charge is $200. How many of the pizzas are deluxe?
Answer:
6 deluxe pizzas
Step-by-step explanation:
200-5=195
195 is the total cost of pizzas
195=11.50x+15.25y
y=−0.75x+12.79
(the y intercept and slope are rounded)
x is reg. pizzas. y is deluxe
x+y=15
y=-x+15
if you plot both y=-x+15 and y=-0.75+12.79 you get coordinates that round to 9,6
9 pizzas
6 deluxe pizzas.
Can someone please help me
Answer:
A. 9.0 seconds
Step-by-step explanation:
What percentage of 340 is 425?
(A) 80%
(B) 85%
(C) 125%.
(D) 152%
if we take 340 as the 100%, what is 425 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 340 & 100\\ 425& x \end{array} \implies \cfrac{340}{425}=\cfrac{100}{x} \implies \cfrac{4}{5}=\cfrac{100}{x} \\\\\\ 4x=500\implies x=\cfrac{500}{4}\implies x=125[/tex]
An airplane flies at 400 mph with a direction of 120° relative to the air. The plane experiences a wind that blows 40 mph with a direction of 50°.
Part A: Write each of the vectors in linear form. Show all necessary calculations. (6 points)
Part B: Find the sum of the vectors. Show all necessary calculations. (2 points)
Part C: Find the true speed and direction of the airplane. Round the speed to the thousandths place and the direction to the nearest degree. Show all necessary calculations.
Answer:
caveat: your grader may expect <E, N> coordinates, reversed from these
A. <N, E> = <-200, 346.410> (plane) and <25.712, 30.642> (wind)
B. resultant <N, E> = <-174.288, 377.052>
C. resultant = 415.385∠115°
Step-by-step explanation:
The necessary calculations for vector arithmetic are handily carried out by a suitable calculator. The attached shows a TI-84 work-alike, but there are many other possible choices.
The necessary calculations for doing this "by hand" (without a calculator that does vectors or complex numbers) are ...
a∠b = a·cis(b) = (a·cos(b) +i·a·sin(b))
a +i·b = √(a²+b²)∠arctan(b/a) . . . . . with attention to signs and quadrant
__
Ordinarily, bearings are measured clockwise from North, and angles in the x-y or complex plane are measured counterclockwise from +x (East). If you use bearing angles without any translation, the resulting (complex plane) coordinates from rectangular/polar conversion are ...
(North + i·East)
Coordinates in this system can be added and subtracted in the usual way. When the result is converted back to a distance and direction, that direction can be considered to be a bearing angle. In short, we can use bearing angles in our math with no special treatment, provided we are consistent in that usage.
__
A.The airplane speed vector in <north, east> coordinates is ...
400∠120° = 400cos(120°) +i·400·sin(120°) = <-200, 346.410>
Similarly, the wind speed vector is ...
40∠50° = 40cos(50°) +i·40sin(50°) = <25.712, 30.642>
__
B.The sum of the vectors is found from the sum of their components:
plane + wind = <-200 +25.712, 346.410 +30.642> = <-174.288, 377.052>
__
C.Converting this vector in linear form back to a magnitude and direction gives ...
magnitude = √((-174.288)² +377.052²) = √172544.644542
magnitude ≈ 415.385 . . . mph
direction = arctan(-377.052/174.288) . . . . . 90° < θ < 180°
direction ≈ 115°
_____
Additional comment
As we discussed above, the vector coordinates used here are <N, E> coordinates. If you translate the bearing angles to Cartesian plane angles (measured CCW from +x), the corresponding coordinates will be <E, N> coordinates. That is, rectangular coordinates will be reversed from those shown here. If you're filling in an answer box, you may want to be aware of that fact.
PLEASE HELP I WILL GIVE BRAINLY TO FIRST GOOD ANSWER
Answer:
(x + 8)(x + 4)
Step-by-step explanation:
x² + 12x + 32 Rewrite
x² + 4x + 8x + 32 Factor
x(x + 4) 8(x + 4)
(x + 8)(x + 4) Final answer
Hope this helps!
Step-by-step explanation:
if x=1 --> 1 + 12 + 32 = 45
if x=2 --> 4+ 24 + 32 = 60
if x=3 --> 9+36+32 = 77
if x=4 --> 16 + 48 + 32 = 96
...
so, with the same logic we'll find the equation:
(x + 8)(x + 4)
(because it's related to each of the equations on the top )
I'm not sure if this is what you're looking for, if not tell me in the comments and I'll change my answer. Otherwise, I hope this answers your problem :)
Emilia and Rose ran around a track. Emilia ran 3 more laps than Rose. Altogether, they ran 11 laps.
How many laps did Rose run?
please help me with this question
Answer:
19
Step-by-step explanation:
you get the answers by counting all the x. every sttudent markes 1 x so the answer is 19
number of solutions of quadratic equations
Answer:
Discriminant = 120
Number of x intercepts = 2
=========================================================
Explanation:
The equation is of the form ax^2+bx+c with:
a = -7
b = 8
c = 2
The discriminant is
d = b^2 - 4ac
d = 8^2 - 4(-7)(2)
d = 64 + 56
d = 120
The discriminant is positive, meaning there are 2 different x intercepts.
If d = 0, then we'd have only one x intercept.
If d < 0, then there wouldn't be any x intercepts.
PLAS HELP!!
For multiple-choice: cubic, quadratic, linear, quintic, quartic
Answer:
cubic3 termsconstant: -2leading term: 1/4x³leading coefficient: 1/4Step-by-step explanation:
The degree of each term in a polynomial is the exponent of the variable. If there are multiple variables in a term, the degree is the sum of their exponents. The degree of the polynomial is the highest of the degrees of the terms.
__
The three terms of the polynomial given here have degrees of 2, 0, and 3. Since the highest degree is 3, the polynomial is 3rd-degree, or "cubic." The "leading term" is the one of highest degree, and its coefficient is the "leading coefficient." The constant term is the one with degree 0 (no variables).
"The expression represents a cubic polynomial with 3 terms. The constant is -2, the leading term is 1/4x³, and the leading coefficient is 1/4."
Is the following a statistical question?
How much do new cars cost?
Solving systems of linear equations by substitution y= 2x-1 y = 3x +2
Answer:
(x,y)=(-3,-7)
Step-by-step explanation:
step 1
y=2x-1
y=3x+2
=
2x-1=3x+2
-3(2x+2)<10 thank you in advance
[tex]-3(2x+2) < 10\\\\\implies -6x -6 < 10\\\\\implies -6x < 10 +6\\\\\implies -6x < 16 \\\\\implies x > -\dfrac{16}6\\\\\implies x > -\dfrac{8}3[/tex]
How many cups of water should be mixed with 1/4 cup of vinger to make the cleaning solution
Answer:
"mix 1 cup of vinegar with 1 gallon of water"
1 cup = 8oz; 1/4 cup = 2oz
You can see that the amount of vinegar is 1/4 of the original amount,
so, we will need 1/4 of the amount of water, which is 1gallon = 128oz
so, 1/4 times 128oz = 32oz, which is one quart
Algebraically, 8oz : 128oz = 2oz : x
8x = 256; x = 32oz
how do you graph y=2x-3
Answer:
so on the graph you can
Step-by-step explanation:
first the y axis number comes first so you look at that the you do the x axis it should look like 2,3 or 2,-3 hope this works
Answer: 2x3=y. 2x3=6
Step-by-step explanation:
one: figure out what the question is asking you. Two: do 2x3 and then get the answer. Last: switch it around to find your answer.
Imma need some help here QwQ.
A farmer has a total of 7825 beet plants. He wants to plant 40 beet plants in each
row.
He does the following work in long division:
Answer:
A. The farmer plants 195 rows of beets and has 25 beet plants left over
Step-by-step explanation:
The quotient 195 is the number of full rows the farmer can make. That takes up 195*40 = 7800 plants so far. Then there's an extra 25 left over because 7825-7800 = 25 that can't make up an extra full row.
Mrs. Hall spends 1 hour and 30 minutes doing yardwork. She spends 40 minutes cutting the grass. She divides the rest of her time evenly between planting a new bush and pulling weeds. How long does she spend pulling weeds?
Answer:
1 hour and 5 minutes
Step-by-step explanation:
1 hour equals 60 minutes
60 plus 30 equals 90
90 plus 40 equals 130
130 divided by 2 is 65
65 is turned into 1 hour and 5 minutes
Hope this helps
Welcome to Brainly Community
AABC and AXYZ are similar. Find the missing side length.
B
Y
14
28
A
2
4
А
?
C
X
3
Z
(The triangles are not drawn to scale.)
Answer:
21
Step-by-step explanation:
You can tell that AB=2x7
BC=4x7
So, you're increasing each by multiplying each by 7.
3x7=21.
Find the value of x
Answer:
40, or if you need it unrounded 40.3
Step-by-step explanation:
Find the volume of the figure below.
Answer:
B
Hope This Helps! :) Please Mark as brainliest!
find two rational and irrational numbers between 2 and 2.5
Answer:
Rational:2.1,2.2
Irrational:[tex]\sqrt{5},\sqrt{6}[/tex]
Step-by-step explanation:
Trial and error
Find the value of x. (4x + 12)° 64°
Answer:
C. 13Step-by-step explanation:
the angle of measure 4x + 12 and the angle of measure 64 are Vertically opposite angles then they are equal in measure
therefore
4x + 12 = 64
⇔ 4x = 64 - 12
⇔ 4x = 52
⇔ x = 52/4
⇔ x = 13
Find x to the nearest tenth
Answer:
[tex] {x}^{2} = {8.6}^{2} + {11.5}^{2} \\ {x}^{2} = 73.96 + 132.25 \\ x = \sqrt{206.21} \\ x = 14.185 \\ x = 14.19[/tex]
14.19
How do you write 59/20 as a percentage?
what is this it hard
Answer:
supply and demand
Step-by-step explanation:
i need help with this quick plss
If the sample regression equation is found to be yˆ = 10 + 2x, what is the estimated value of Y if x = 5?
The sample regression y = 10 + 2x is a linear regression equation
The estimated value of y if x = 5 is 20
How to estimate the value of y?The sample regression equation is given as:
y = 10 + 2x
When x = 5, the equation becomes
y = 10 + 2 * 5
Evaluate the product
y = 10 + 10
Evaluate the sum
y = 20
Hence, the estimated value of y if x = 5 is 20
Read more about regression equations at:
https://brainly.com/question/25987747
Jenny’s grandmother is making a quilt for
her 18th birthday. When she ran out of
material she asked Jenny to go to the
store and pick up more patches.
She only had one square cut in half at the
diagonal, creating 2 equal triangles left.
Each triangle has an area of 0. 18 units.
What is the length of the side of the square?
The side of the square that is twice the area of one triangle (0.18 units²) is: 0.6 unit.
What is the Area of a Square?Area of a square = s², where s is the side length of the square.
1 square = 2(areas of triangles)
1 square = 2(0.18)
1 square = 0.36 units²
s² = 0.36
s = √0.36
s = 0.6 unit.
Length of the side of the square = 0.6 unit.
Llearn more about area of a square on:
https://brainly.com/question/813881
#SPJ1
Which expression can be used to find the area of triangle rst? (8 ∙ 4) - one-half (10 12 16) (8 ∙ 4) - (10 12 16) (8 ∙ 4) - one-half (5 6 8) (8 ∙ 4) - (5 - 6 - 8)
The area of the triangle RTS will be (8×4) - 1/2 (16+12+10). Then the correct option is A.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
We start by drawing a rectangle around the triangle as shown in the diagram below.
Area of the RST = area of the rectangle - (area of triangle A + area of triangle B + area of triangle C)
[tex]\rm Area\ of\ RST = (8 \times 4) - [(\dfrac{1}{2} \times 8 \times 2) + (\dfrac{1}{2} \times 4 \times 3) + (\dfrac{1}{2} \times 5\times 2)]\\\\\\Area\ of\ RST = (8 \times 4) - \dfrac{1}{2} (16 + 12 + 10)[/tex]
The area of the triangle RTS is (8×4) - 1/2 (16+12+10).
More about the geometry link is given below.
https://brainly.com/question/7558603
Answer:Option A
Step-by-step explanation:
Tina would like to withdraw an annual salary of $35,756 from an account paying 2.2% compounded annually for 35 years once she retires. given this information, determine the amount needed in her account in order for her to reach her goal. round to the nearest cent. a. $801,263.20 b. $866,442.02 c. $885,503.75 d. $1,213,299.,90
The amount needed in Tina's account in order for her to reach her goal round to the nearest cent is given by: Option B: $866,442.02 approximately.
What is the amount of a fixed period payment to be done to pay off the loan amount which is increasing compoundly?Suppose we're given that:
[tex]P_v[/tex]= Present value of the loan amountr = rate of interest (compound interest) per period of timen = number of period of time in which loan is to be paid offP = A fixed period payment needed to be done for paying off the loan in n number of periods.Then, we get:
[tex]P = \dfrac{r\times P_v}{1 - (1 + r)^{-n}}[/tex]
Why do we need this loan paying formula?
It is because we can simulate this situation with above condition.
Suppose the balance in her account is loan that she has given to someone. Let it be x, so [tex]P_v[/tex] = x dollars
The loan is increasing compoundly per year(here period of time is year wise). r = 2.2% = 0.022
That loan taker will pay off(since she need money only for 35 years) the loan in 35 years by giving $35756 = P payments each year.
We need to find the value of that initial loan amount (which refers to the amount that she needs to keep in her account).
Putting values in the aforesaid formula, we get:
[tex]P = \dfrac{r\times P_v}{1 - (1 + r)^{-n}}\\\\\\35756 = \dfrac{0.022 \times x}{1 - (1+0.022)^{-35}}\\\\\\x = \dfrac{35756 \times (1 - (1+0.022)^{-35})}{0.022} \approx 866442.02 \: \rm dollars[/tex]
Thus, the amount needed in Tina's account in order for her to reach her goal round to the nearest cent is given by: Option B: $866,442.02 approximately.
Learn more about loan payment here:
https://brainly.com/question/4234016
The other person is correct! The answer is B: $866,442.02.
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Have a great day and God bless! :D
(8c-9b)(x-5a)+(3x+3c)(6a-2b)
Answer:
8cx - 22ac - 15bx + 45ab +18ax - 6bc.
Step-by-step explanation:
(8c-9b)(x-5a)+(3x+3c)(6a-2b)
= 8c (x-5a) -9b(x-5a) + 3x(6a-2b) + 3c(6a-2b)
= 8cx - 40ac -9bx + 45ab + 18ax - 6bx + 18ac - 6bc
Combining like terms:
= 8cx - 22ac - 15bx + 45ab +18ax - 6bc.
Answer:
8cx + 45ab + 18ax - 2bc - 15bx - 22ac
Step-by-step explanation:
(8c - 9b)(x - 5a) + (3x + 3c)(6a - 2b)8cx - 9bx - 40ac + 45ab + 18ax + 18ac - 6bx - 2bc8cx + 45ab + 18ax - 2bc - 15bx - 22ac