Answer:
Step-by-step explanation:
I tried to translate "11 x plus y equals 4 space x plus y equals negative 2 space x minus 2 y equals 18"
This is what I got:
11x + y = 4
x+y=-2
x-2y=18
For me, personally, I need to rewrite these equations into standard format of y=mx+b (slope intercept):
-------
11x + y = 4
y=-11x+4
-------
x+y=-2
y=-x-2
-------
x-2y=18
2y = x-18
y=(1/2)x-9
------
For each one I can find the y-intercept easily: (4, -2. and -9). I can quickly generate a second point by assuming a convenient value for x (one that makes the calculation simple).
1. y=-11x+4 let x = 1; y = -7 : (1,-7)
y=-x-2 let x = 2; y= -4 : (2,-4)
y=(1/2)x-9 let x= 2; y=-8 : (2,8)
The y-intercepts tell us at point on the line for each equation:
(4, -2. and -9) means points at (0,4), (0,-2) and (0.-9)
Now we have two point for each line equations. All we have to do is mark those two points for each equation and draw a line through them. Easy!
The two points for each equation are:
1. (1,-7), (0,4)
2. (2,-4), (0,-2)
3. (2,8), (0.-9)
This always works well for equation of lines. More comples equations involving parabolas, etc., are more easily graphed using tables of the results of various x inputs.
1 package of COOKIE mix requires 2 T water and 1 stick of butter. How much water is required if you DOUBLE the recipe?
Answer:
4 T
Step-by-step explanation:
2 T (2) = 4 T
Verify in the following whether g(x) is a factor of p(x)
(i). g(x) = x-2; p(x) = x⁴-x³-x²-x-2
(ii). g(x) = x+1; p(x) = 2x³+x²-2x+1
[tex] \red{\large\underline{\sf{Solution-i}}}[/tex]
Given that,
[tex] \rm \longmapsto\: p(x) = {x}^{4} - {x}^{3} - {x}^{2} - x - 2[/tex]
and
[tex]\rm \longmapsto\:g(x) = x - 2[/tex]
We know,
Factor theorem states that if g(x) = x - a is a factor of polynomial f(x), then remainder f(a) = 0.
So, using Factor theorem, Consider
[tex]\rm \longmapsto\:p(2)[/tex]
[tex]\rm \: = \: {2}^{4} - {2}^{3} - {2}^{2} - 2 - 2[/tex]
[tex]\rm \: = \: 16 - 8 - 4 - 4[/tex]
[tex]\rm \: = \: 16 - (8 + 4 + 4)[/tex]
[tex]\rm \: = \: 16 - 16[/tex]
[tex]\rm \: = \: 0[/tex]
[tex]\rm\implies \:p(2) \: = \: 0[/tex]
So,
[tex]\bf\implies \:g(x) \: is \: factor \: of \: p(x)[/tex]
[tex] \red{\large\underline{\sf{Solution-ii}}}[/tex]
[tex]\rm \longmapsto\: p(x) = 2{x}^{3} + {x}^{2} - 2x + 1[/tex]
and
[tex]\rm :\longmapsto\: g(x) = x + 1[/tex]
Now, By using Factor Theorem, Consider
[tex]\rm \longmapsto\:p( - 1)[/tex]
[tex]\rm \: = \: 2 {( - 1)}^{3} + {( - 1)}^{2} - 2( - 1) + 1[/tex]
[tex]\rm \: = \: - 2 + 1 + 2 + 1[/tex]
[tex]\rm \: = \: 2[/tex]
[tex]\rm\implies \:p( - 1) \: \ne \: 0[/tex]
So,
[tex]\bf\implies \:g(x) \: is \: not \: a\: factor \: of \: p(x)[/tex]
What is the coefficient of the term of degree 4 in the polynomial?
6x3 + 2x - 5x3 + x²
the coefficient of term 4 is 2
please help on 6 and 7 !!
Answer:
, o0e1g02gd20ugd2pigs1ogdp1usg1usg2sg9gsulsg2upgpu2gdu2
Step-by-step explanation:
Upf2upg2epu96fsgd2jgdf2u2gs2pugdpu2v20udg0u2dg2d07gdu02v0uvdu2udih28db2 uwg02u8g8whd2idb0u3df'3
Kbudwigwivsus8hd3ib3idhkdwvdjwbi3bxoxhk2xv2ixb2ibx83dh82hd3uvdusv0u2vdodvpu2vu2dbi3dvdhddhdug2dHdib3ibddbidb8hf
Jf3ihdi2hdh2odn3foj3fohf8echwdvdih2d8hf28hfi2dhpuvdudb2i3hdif3hidi2dbi2dbdhihdi3bdi3bdebx9dgdibiwvdv2usb3ibxi2gdnodiv2uvdk3bdib3d3idvjb3dk2bdkvxkbwjbxwIwdgid2bi2bvvz
Jdi3hi3dhi3dboefb3idbibf8e
3idbihi2hdowdndiwb
Whdkwdbkei3fh
Xhwoxbeifiebc
Oejfoefbo3nf
5 hundred millions, 4 millions, 6 thousands, 2 tens
>
504,060,020 ?
Answer:
5 hundred millions, 4 millions, 6 thousands, 2 tens = 504,006,020
Step-by-step explanation:
504,060,020 > 5 hundred millions, 4 millions, 6 thousands, 2 tens
(504,006,020)
Jason deposits $1700 in an account that earns 5% interest compounded weekly. How much will Jason have after 8 years?
Answer:
$2511.674254, rounded to $2512
Step-by-step explanation:
1700x1.05^8
asap po please thank you po!
Answer:
1 is correct, 100.
2 is 500, not 470. since we're rounding to the nearest hundred, we would look at the tens place and if it's higher than 5 then round up.
3 is correct.
4 is correct.
5 is correct.
6 is correct.
7 is correct.
8 is 290, not 300. like i said before, but in this case we're rounding t the nearest ten instead of hundred. but the same rules apply.
9 is correct.
and 10 is correct!
i think that you did pretty well on most of these, but remember the rounding rule.
Suppose that 12 inches of wire costs 60 cents at the same rate how many inches of wire can be bought for 25 cents
Answer:
5 inches
Step-by-step explanation:
60÷12=5 cents ( 1 inches of wire )
25÷5=5 inches
PLS HELP ME ASAP
NO LINKS
1.What is the probability of rolling an odd number on a 6 sided die
2.Eric and 3 friends took turns riding the Beast with each other at Kings Island. If they rode with all others exactly once, how many times did they ride it?
3. What is the area of a circle with a radius of 4mm? Use 3.14 for pi.
4. Find the median of the following data set.
6.2, -5.9, 2.4, 1.8, 8.7
5. What is the slope from (-1,2) to (2,-2)?
6. How many different ways can you write the letters a, b and c in order from left to right?
Answer:
1. 3/6 or 3 out of 6
2. 6 times
3. 50.24mm²
4. 2.4
5. -4/3
6. 6 i think, but i'm not positive on this one
have a wonderful day :)
A robot begins at point A travels 4 meters west, then turns and travels 7 meters south, reaching point B. What is the approximate straight-line distance between points A and B
Answer:
Approximately 8 meters
Step-by-step explana
A = (b1 + b2) h / 2
I'm so confused, and i need to solve for h.
Step-by-step explanation:
Multiply both sides by 2/(b1 + b2) to isolate h and get
h = [2/(b1 + b2)] A = 2A/(b1 + b2)
58ml : 1120ml : 104ml need answer asap!
Answer:
i dont know the answer sorry
Step-by-step explanation:
Allison is going to the post office to buy 34cent stamps and 3 cent adjustment stamps. Since the current postage rate is 49 cent she will need 5 times as many 3 cent adjusment stamps as 34 cent stamps. If she has $12.25 to spend, what is the largest number of 34 cent stamps she can buy?
Determine the largest number of 34 cent stamps she can buy
The largest number of 34 cent stamps she can buy is 30
Given:
Total money = $12.25
let
x = 34 cent stamp
y = 3 cent stamp
34 cent stamp = 5 × 3 cent stamp
x + y = 0.49
x = 5y
0.34x + 0.3y = 12.25
0.35(5y) + 0.3y = 12.25
1.75y + 0.3y = 12.25
2.05y = 12.25
y = 12.25/2.05
y = 5.9756097560975
approximately, y = 6
Recall,
x = 5y
x = 5(6)
x = 30
Therefore, the largest number of 34 cent stamps she can buy is 30
Read more:
https://brainly.com/question/7852538
In a neutral atom that has 18 protons, how many electrons does it have?
what is the answer?
can someone help me with this?
Answer:
181.58 pics per month
Step-by-step explanation:
divide 1150 by 6.33
1150/6.33=181.58
The depth of water in a reservoir increases from 14m to 15.75m. Work out the percentage increase.
Answer:
It was a 12.5% water gain
I NEED HELP ASAP WILL GIVE BRAINLIEST FOR ALL 3
2) i don't know answer for 2, but i know that it isn't right triangle because from Pythagoras' Theory we know that for right triangle: a^2 + b^2 = c^2 but in this triangle 30^2 + 38^2 ≠ 54^2
3) from Pythagoras' theory we know that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides: a^2 + b^2 = c^2
we have to check this in this triangle:
12^2 + 16^2 = 400
√400 = 20
we know that third side of this triangle is 20 so this triangle is right triangle
3) in square all sides are same so If a is the one side of the square then area of this square will be a x a = 242
a^2 = 242
so from Pythagoras' theorem we can found the diagonal:
a^2 + a^2 = c^2 ( c is hypothenuse)
242 + 242 = c^2
484 = c^2
c = 22
hope it's correct and it'll help you :)
not sure how to do this, could use some help. : )
Answer:
The GCF equal;
[tex] {x}^{3} y {z}^{2} [/tex]
I hope I helped you^_^
65 people paid $5 to go in a haunted house. They all went in, someone took their time to see the decorations and special effects. After 14 minutes half of them were outside waiting for the rest to finish. How many people are still inside? (HELP ME PLS AND I WILL PUT 5 STARS :)
Step-by-step explanation:
here's your answer
enjoy
Answer: 32.5
Step-by-step explanation: 65 divided by 2 ( 2 x 3 = 6 bring down the 5 so 2x2 = 4. Your remainder is 1 bit you can’t leave it like that so you add a extra zero put your decimal point so 32. (2x5 = 10 (remainder 0)
8 7/3 divided 7 1/2
6 1/2 divided 34/4
23/3 divided 6 2/5
Pls help ASAP
1) 1 17/45
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
31/3 ÷ 15/2
Applying the fractions formula for division,
= 31 × 2/3 × 15
= 62/45
Simplifying 62/45, the answer is
1 17/45
2) 13/17
First:
Convert any mixed numbers to fractions.
Reduce fractions where possible.
Then your initial equation becomes:
13/2 ÷ 17/2
Applying the fractions formula for division,
= 13 × 2/2 × 17
= 26/34
Simplifying 26/34, the answer is
13/17
3) 1 19/96
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
23/3 ÷ 32/5
Applying the fractions formula for division,
= 23 × 5/ 3 × 32
=115/96
Simplifying 115/96, the answer is
1 19/96
I Will brainlist who can answer this question please!!!
Help I will mark brainliest
Answer:
350
Step-by-step explanation:
Multiply all the sides by each other. This is a triangular prism so the base, you divide by 1/2. So:
A = 7 * 10 * 10
A= 7 * 5 * 10.
(You divide the ten on the bottom)
7*5 = 35
35*10 = 350
Answer:
240
Step-by-step explanation:
The surface is the sum of the sides (all 4 equal) plus the base.
A = 4(1/2B * H) + B**2
A = 4((1/2 * 10) * 7) + 10 * 10
A = 4(5 * 7) + 100
A = 4 * 35 + 100
A = 140 + 100
A = 240
2(3x=4)
(x-2)(x=3)
(x-2)^2-3x(x+2)
(x-3)(x+3-(x+2)^2
Answer:
true
Step-by-step explanation:
thats correct becauee yeah
Guys please i beg you help me
Answer:
( A . ans )expressions that work the same even though they look different.
What is the relationship between the volume of a rectangular prism and pyramid that both have the same dimensions?
Question 23 options:
A) The volume of the pyramid is 1/3 the volume of the rectangular prism.
B) The volume of the pyramid is 3 times the volume of the rectangular prism.
C) The volumes are the same
D) There is no relationship
Answer: A) The volume of the pyramid is 1/3 the volume of the rectangular prism.
Explanation:
Let's say we had a rectangular block that has a volume of 90 cubic meters. If we wanted a pyramid that had the same base as the block, then the pyramid would have 1/3 of that 90 m^3 volume. The pyramidal volume would be (1/3)*90 = 30 m^3.
Put another way: we can fit 3 pyramids into one rectangular block.
Jerry deposited 20,000 on an investment that will give 1,750 for every year that his money stays in the account. How much money will he have in his account by the end of the year 8? with solutions
Answer:
$34,000
Step-by-step explanation:
Jerry will get $1,750 for every year that his money stays in the account thus for 8 years he will get:
8*1,750 = $14,000
Together with the deposited money:
$20,000 + $14,000 = $34,000
By the end of year 8 there will be $34,000 of Jerry's account.
Q.
8³ + 6⁴
..................
Answer:
1808
Step-by-step explanation:
Answer:
1808
Step-by-step explanation:
Step 1: 8 to the power of 3 = 8x8x8= 512
Step 2: 6 to the power of 4= 6x6x6x6= 1296
Step 3: 512+1296= 1808
I need help! Please tell me
Answer:
y = 2x + 6
y = -1/4 x - 3
Step-by-step explanation:
We can read from the graph that the equation that slopes up to the right has y-intercept 6 and slope 2. The equation that slopes down to the right has y-intercept -3 and slope -1/4.
The equations are:
y = 2x + 6
y = -1/4 x - 3
Nate is baking cookies for a bake sale. He needs 2 1/4 cups of flour for each batch of cookies, and he needs to make 3 1/3 batches How much flour does Nate need to make his cookies? 1 cups 62 cups 12 61 cups 71 cups
Answer:
12
Step-by-step explanation:
May I please receive help?
Answer:
[tex] \alpha + (\alpha + 61) = 109 \\ 2 \alpha + 61 = 109 \\ 2 \alpha = 48 \\ \alpha = 24[/tex]
The measure of angle one is 24°