Answer:
x=0, 2. y=-1, 5.
Step-by-step explanation:
y=(1/2)x^2+2x-1
3x-y=1
---------------------
3x-y=1
y=3x-1
-----------
(1/2)x^2+2x-1=3x-1
(1/2)x^2+2x-3x-1-(-1)=0
(1/2)x^2-x-1+1=0
(1/2)x^2-x=0
factor out the x
x[(1/2)x-1]=0
zero property,
x=0, (1/2)x-1=0
-------------------
(1/2)x-1=0
1/2x=0+1
1/2x=1
x=1/(1/2)=(1/1)(2/1)=2/1=2
-----------------------------------
x=0, x=2
-------------
y=(1/2)(0)^2+2(0)-1=0+0-1=-1
-------------
y=3(0)-1=0-1=-1
-----------------------
y=(1/2)(2)^2+2(2)-1=(1/2)(4)+4-1=4/2+4-1=2+4-1=6-1=5
----------------------
y=3(2)-1=6-1=5
Answer:
The solutions are (0, -1) and (2, 5)
Step-by-step explanation:
y = (1/2)x^2 + 2x - 1 ------ eqn(I)
3x - y = 1
y = 3x - 1 ------------- eqn(II)
Equate eqn(I) & (II)
(1/2)x^2 + 2x - 1 = 3x - 1
Multiply each term by 2
x^2 + 4x - 2 = 6x - 2
x^2 + 4x - 6x = -2 + 2
x^2 - 2x = 0
x(x - 2) = 0
x = 0, 2
Substitute the values of x in eqn(II)
y = 3x - 1
When x = 0
y = 3(0) - 1 = 0 - 1 = -1
y = 3x - 1
When x = 2
y = 3(2) - 1 = 6 - 1 = 5
The solutions are (0, -1) and (2, 5)
Amir drove from Jerusalem down to the lowest place on Earth, the Dead Sea, descending at a rate of 12 meters per minute. He was at sea level after 30 minutes of driving. Graph the relationship between Amir's altitude relative to sea level (in meters) and time (in minutes).
Answer:
Graph these two points: (0, 360), (30, 0)
Step-by-step explanation:
Since Amir drove for 30 minutes at a rate of 12 meters, that means that he started at an elevation of 360 feet. The easiest way to graph this, is to place one dot at (0, 360), and at (30, 0).
The straight line joining the points (0, 360) and (30, 0) will be the graph.
What is the equation of a straight line? What do you mean by domain and range of a linear function?The general equation of a straight line is -
y = mx + c
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
Other possible equations of lines are -
(y - y₁) = m(x - x₁) {Point - slope form}
(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}
x/a + y/b = 1 {intercept form}
x cos(β) + y sin(β) = L {Normal form}
For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.
We have Amir who drove from Jerusalem down to the lowest place on Earth, the Dead Sea, descending at a rate of 12 meters per minute. He was at sea level after 30 minutes of driving.
We can write the equation of graph as -
y = - 12t + 360
At t = 0 -
y = 0 + 360
y = 360
and
at t = 30 minutes -
y = - 12 x 30 + 360
y = - 360 + 360
y = 0
The straight line joining the points (0, 360) and (30, 0) will be the graph.
Therefore, the straight line joining the points (0, 360) and (30, 0) will be the graph.
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Please help me with this geometry question:((
Answer:
x = 13
RQ = 160°
Step-by-step explanation:
Inscribed angles are half the intercepted arc angle.
5x + 15 = ½ (RQ)
RQ = 10x + 30
Arc angles add up to 360°.
10x + 30 + 9x + 17 + 6x − 12 = 360
25x + 35 = 360
25x = 325
x = 13
Therefore, RQ = 160°.
what is the largest amount of postage in cents that cannot be made by using only 3 cent and 5 cent stamps?
Answer:
29
Step-by-step explanation:
The amounts greater than 40 cents can be formed.
What is Modulo ?After dividing one number by another, the modulo operation yields the remainder or signed remainder of the division.
Given:
According to the situation the equation can be
C = 5x + 11y, where x and y are non negative integers.
Now, We will fix y-values first, because there are fewer indices modulo 5:
y = 0 --> 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55,... 5y
y = 1 --> 11, 16, 21, 26, 31, 36, 41, 46, 51, 56,... 5y + 11
y = 2 --> 22, 27, 32, 37, 42, 47, 52, 57, ...5y + 22
y = 3 --> 33, 38, 43, 48, 53, 58, ...5y + 33
y = 4 --> 44, 49, 54, 59, ...5y + 44
Then, 39 may be verified to be the smallest number that is impossible to obtain.
By examining each index (0, 1,..., 4), we may demonstrate this by observing that for y = 1, 6 is the largest positive integer congruent to 1 mod 5 that cannot be made, 17 is the largest positive number congruent to 2 mod 5, etc.
The largest of these improbable numbers is 39.
We could say that since 40, 41, ..., 44 are all obtainable, then we can induct by adding a multiple of 5 (i.e. if k is possible, so is k+5),
Hence, all amounts greater than 40 cents can be formed.
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-1.68j+1.24=13 need help thanks
Answer:
-7
Step-by-step explanation:
-1.68j+1.24=13
-1.68j=13-1.24
-1.68j=11.76
j=11.76/-1.68
j=-7
Hi there! Hopefully this helps!
-----------------------------------------------------------------------------------------------------------
Answer: j = -7
You can also rewrite the equation(replace "j" with the answer):
-1.68(-7) + 1.24 = 13.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
How I solved it:
-1.68j + 1.24 = 13.
We subtract 1.24 from both sides.
-1.68j = 13 - 1.24
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
-1.68j = 13 - 1.24
We subtract 1.24 from 13 to get 11.76.
-1.68j = 11.76
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
-1.68j = 11.76
We then divide both sides by -1.68.
j = [tex]\frac{11.76}{-1.68}[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Expand [tex]\frac{11.76}{-1.68}[/tex] ≈ -7 by multiplying both the numerator and the denominator by 100.
j = [tex]\frac{1176}{-168}[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Divide 1176 by -168 to get -7.
wat is (12+6-5*3)*(2*2+1-7+2)=
Answer:
[tex]\huge\boxed{0}[/tex]
Step-by-step explanation:
First we have to do the operation of multiplication
=> (12+6-15)*(4+1-7+2)
Now, Solving the terms inside the brackets
=> (18-15)*(5-7+2)
=> (3)*(-2+2)
=> (3)*(0)
=> 0
Answer:
[tex]\Huge \boxed{{0}}[/tex]
Step-by-step explanation:
[tex](12+6-5*3)*(2*2+1-7+2)[/tex]
Solve brackets.
[tex](12+6-15)*(4+1-7+2)[/tex]
[tex](3)*(0)[/tex]
Multiply both numbers.
[tex]3 \times 0 = 0[/tex]
If you're good at bearings please help meeeeee with full working out tyyyyyy
Help plz, show work
Answer:
63°50° , 40°Step-by-step explanation:
1.
[tex]3 :7 \\Acute \: angle = 90\°\\7+3 = 10\\\frac{7}{10} \times 90\\\\= \frac{630}{10}\\ = 63 \°\\[/tex]
2.
[tex]Let \:the\: other\:acute \:angle\: be \:x\\According\:to \:the \:question ; \\ \:\\(2x-30)+x =90\\2x - 30 +x =90\\2x +x = 90+30\\3x = 120\\\frac{3x}{3} =\frac{120}{3} \\x = 40 \\\\(2x -30)\\2(40) -30\\80 - 30 = 50\\\\\\Angle \:1 = 50\°\\Angle \: 2 = 40\°\\[/tex]
The large rectangle below represents one whole. What percent is represented by the shaded area? (URGENT)
Answer:
40%
Step-by-step explanation:
The whole rectangle is split into 5 parts. Two out of 5 parts are shaded.
Set up a fraction:
[tex]\frac{\text{Shaded}}{\text{Whole}}=\frac{2}{5}[/tex]
Convert into a decimal:
[tex]\frac{2}{5}= 0.4[/tex]
Multiply the decimal by 100 to get the percent:
[tex]0.4*100=40[/tex]
So, forty percent of the rectangle is shaded.
Hope this helps.
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Required percentage value = a
total value = b
Percentage = a/b x 100
The percentage of the shaded rectangular boxes in the large rectangle is 40%.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Number of rectangular boxes in the large rectangle = 5
Number of shaded rectangular boxes in the large rectangle = 2
The percentage of shaded rectangular boxes.
= 2/5 x 100
= 2 x 20
= 40%
Thus,
The percentage of the shaded rectangular boxes in the large rectangle is 40%.
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hey im sry if im asking to many questions i really want help
Answer:
V= 6,000 cm^3
Step-by-step explanation:
(15*20*10) + (10*20*15)
3000 + 3000
6000 cm^3
Answer:
6000 cm³
Step-by-step explanation:
20 * 10 * 15 + (20 * 10 * 15) = 6000 cm³
Write the equation for the following table:
X. Y.
0 3
1 7
2 11
3 15
Answer:
[tex] y = 4x + 3 [/tex]
Step-by-step explanation:
The equation of the table of values given can be written as [tex] y = 4x + 3 [/tex] .
When x = 0,
[tex] y = 4(0) + 3 [/tex]
[tex] y = 0 + 3 = 3[/tex] this corresponds with what we have in the table above.
Let's try another.
When x = 2,
[tex] y = 4(2) + 3 [/tex]
[tex] y = 8 + 3 [/tex]
[tex] y = 11 [/tex]
This also corresponds with what we have in the table.
Therefore, the equation of the table given is [tex] y = 4x + 3 [/tex] .
Determine whether the lines given by the vector equations r1=2i+3j+k+s(4i−k) and r2=2i+3j+k+t(2i+2j+k) intersect. If they intersect, give the coordinates of their point of intersection.
They do. the initial point is same in both lines.
formally,
[tex] \vec{r_1}=(2\hat i+3 \hat j+\hat k)+s(4\hat i-\hat k)[/tex]
$\vec{r_2}=(2\hat i +3 \hat j +\hat k)+t(2\hat i+2\hat j +\hat k)$
if they intersect then $\begin{vmatrix} 4 & 0 & -1 \\ 2 & 2 & 1 \\ (2-2) & (3-3) & (1-1) \end{vmatrix}=0$
(which obviously is zero)
What is 2,871 divided by 33? A) 77 B) 83 C) 87 D) 93
Answer:
(C) 87
Step-by-step explanation:
We can use long division to solve this.
[tex]33\overline{\smash{)}#2871}[/tex]
33 goes into 287 8 times and 33 goes into 231 7 times.
So, 87.
Hope this helped!
Answer: C) 87
Step-by-step explanation:
2,871 ÷ 33 = 87
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
Type the expressions as radicals
y3/5
Answer:
[tex]\sqrt[5]{y^3}[/tex]
Step-by-step explanation:
[tex]y^{3/5}[/tex] is simply [tex]\sqrt[5]{y^3}[/tex]
5. Given that x=-2 is a zero of P(x)=2x3 + x² - 1 1x –10, factor
P(x) as a product of its linear factors. Then find the other zeros.
Step-by-step explanation:
x = -2 is a zero, so x + 2 is a factor of P(x).
Use grouping to factor.
P(x) = 2x³ + x² − 11x − 10
P(x) = 2x³ + 4x² − 3x² − 11x − 10
P(x) = 2x² (x + 2) − (3x² + 11x + 10)
P(x) = 2x² (x + 2) − (x + 2) (3x + 5)
P(x) = (x + 2) (2x² − (3x + 5))
P(x) = (x + 2) (2x² − 3x − 5)
P(x) = (x + 2) (x + 1) (2x − 5)
The other zeros are x = -1 and x = 5/2.
-15 POINTS PLS HURRY- Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 4.5 cm to 4 cm
Hi there! :)
Answer:
[tex]\huge\boxed{\frac{9cm}{8cm}}[/tex]
We can disregard the units temporarily to create a ratio for 4.5 to 4:
4.5 is not a whole number- we can convert this number in the ratio to a whole number by multiplying both numbers by 2:
2 · (4.5 : 4) = 9 : 8
Express as a fraction:
[tex]9cm : 8cm = \frac{9cm}{8cm}[/tex]
this is just a personal question if i have 47 assignments to do and i have to finish by the 20th of august how many do i need to do a day
Answer:
Hey there!
Today is August 7th, 2020.
Thus, August 20th is in 13 days.
If you have 47 assignments, you would have to do 3-4 a day to finish on time.
Hope this helps :) And good luck with your assignments.
Answer:
You have to do about 3 and a half assements a day.
Step-by-step explanation:
Just do 47 divides by 20 but since it is the 7th do 47 divides by 13
Have a nice day!
Someone pls help . Thank you sm ! i forgot how to do this lol .
Answer:
x = - 20, h = 34
Step-by-step explanation:
i can't tell ypou what the class period is, but for -x = 20, multiply each side by -1, then you get x = -20
-32 = 2-h
+32 . +32
0=34-h
+h . +h
34=h
flip
h=34
Someone pls help me in this plss
Im really confused in this
Answer:
Step-by-step explanation:
find LCM of the denominators= 77
so 66/77 - 63/77
3/77
hope this help you pls mark me as brainliest
working for division is on this question is
6/7 divide 9/11
so 6/7 *11/9
66/63 and then you can find its standard form and it cannot be do not
What is -8.64 -0.024?
360
- 36
-360
36
Answer:
(-8.64) / (-0.024) = 360
Step-by-step explanation:
You have to type like this in your question;
(-8.64) / (-0.024)
or [tex]\frac{-0.024}{-8.64}[/tex].
Bye!
What is the value of f(1)?
Answer:
A function normally tells you what y is if you know what x is.
Pls answer I need help please give me an answer and a explanation
Answer:y=4x
Step-by-step explanation:
Answer:
4x = y
Step-by-step explanation:
Since we see that "X" multiplied by 4 is "Y" in every pattern,
we get the equation that 4 times of x (4x) is equal to the corresponding y.
and Thus we have the final answer of 4x = y.
Hope this helps!
Solve the equation. 4(4x - 2) = x + 4
Answer:
x = 0.8
Step-by-step explanation:
4(4x - 2) = x + 4
4*4x + 4*-2 = x + 4
16x - 8 = x + 4
16x - x = 4 + 8
15x = 12
x = 12/15
x = 0.8
Check:
4(4*0.8 - 2) = 0.8 + 4
4(3.2 - 2) = 4.8
4(1.2) = 4.8
Answer:
0.8 in decimal form
Step-by-step explanation:
Whats 7 over 10m plus 9 plus 3 over 1 I need help
Answer:
12.7
Step-by-step explanation:
(7/10)+((9+3)/1)
(0.7)+(12)
12.7
The projected worth (in millions of dollars) of a large company is modeled by the equation w = 221(1.09) t. The variable t represents the number of years since 2000. What is the projected annual percent of growth, and what should the company be worth in 2008? A. 9%; $440.36 million B. 19%; $479.99 million C. 9%; $404.00 million D. 19%; $240.89 million
Answer:
A. 9%; $440.36 million
Step-by-step explanation:
Using A(1+r)t, we can subtract 1-1.09=.09*100=9%.
That means the projected annual growth is 9%
Now we can calculate the worth of the company by replacing t=8, 2008-2000=8
[tex]w=221(1.09)^8\\=440.356=440.36 million[/tex]
Which linear inequality is represented by the graph?
y
Answer:
the third one
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
What is the value of (-3 + 3) + (-2 + 3)?
0-5 - 61
D-5 + Bi
5 + 61
5-61
Answer:
1
Step-by-step explanation:
(-3 + 3) + (-2 + 3) =
= 0 + 1
= 1
Sam can paint the house in 7 days by himself, while Betty can paint the same house in 42 days. How long would it take Sam and Betty to paint the same house together?
Answer:
It would take 6 days for Sam and Betty to paint the same house together.
Step-by-step explanation:
Let x represent the time it takes ( in days ) to complete painting the house working together. Our approach here is to add the rates of the two people, equal to the total rate, or 1 / 7.
Sam's rate = 1 / 7 ( 7 days to paint 1 house ),
Betty's rate = 1 / 42 ( 42 days to paint 1 house )
1 / 7 + 1 / 42 = 1 / x - now let us solve for x, our solution
1 / 7 + 1 / 42 = 1 / x ( multiply either side by 42x )
7x = 42,
x = 42 / 7 = 6 days
Write the equation for the following table:
Answer:
y = 10x + 20
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope-Intercept Form: y = mx + b
Step 1: Find slope m
m = (20 - 10)/(0 - -1)
m = 10/(0 + 1)
m = 10/1
m = 10
y = 10x + b
Step 2: Find y-intercept
(0, 20) is y-int from graph
Step 3: Plug into form
y = 10x + 20
In which situation can a constant of proportionality be identified A. Allison earns $8 per hour for h hours and an $8 bonus for each cell phone plans she sells. B. Ben buys x cans of dog food for $1.25 each and uses a coupon $7 off his entire purchase. C. Claire orders b books online for $4.50 each plus shipping charges $0.30 for each book. D. John runs 3 miles per day for m days in a week and bicyles 20 miles/day the remaining days in the week.
Answer:
C
Step-by-step explanation:
C is the only situation in which there is a clear constant of proportionality and no offset (no initial value). Claires rate is ($4.50 + $0.30)/book, or $4.80/book.
Jill has two dimes she is going to use to perform a probability experiment. What is the theoretical probability that at least one of the two coins will turn up
heads?
75%
50%
Answer:
50%
Step-by-step explanation:
its a 50/50 chance on it landing either heads or tails
