Two shops, Waitroze and Budgins sell the same brand of cans of soup but with different offers.
Calculate the price for 24 tins at each shop.
Waitroze = 8 for £3.35
Budgins = 6 for £2.89

Answer:

  y = x² -2x +5

Step-by-step explanation:

When a polynomial has q as a zero, it has (x-q) as a factor. Your polynomial has factors (x -(1-2i)) and (x -(1+2i)). The polynomial will be the product of these factors.

__

  y = (x -(1 -2i))(x -(1 +2i))

  y = ((x -1) +2i)((x -1) -2i) = (x -1)² -(2i)² = x² -2x +1 -4(-1)

  y = x² -2x +5

_____

Additional comments

i is the imaginary number √(-1), so i² = -1.

The two given roots differ only in the sign of their imaginary parts, so they are "conjugates" of each other. Complex roots of polynomials with real coefficients always come in conjugate pairs. (In some problems, you will be expected to supply the missing root of a conjugate pair.)

The expression for the product of the factors is simplified using the factoring for the difference of squares:

  (a -b)(a +b) = a² -b² . . . . . . . here, we have a=(x-1); b=2i

Answer:  49/55  

7/11 x 7/15 x 3  

49/165 * 3  

147/165  

49/55

[tex]\dfrac{7}{11} \times \dfrac{7}{15} \times 3\\\\\\=\dfrac{7}{11} \times \dfrac{7}{3\times 5} \times 3\\\\\\=\dfrac{7}{11} \times \dfrac{7}{5}\\\\\\=\dfrac{7\times7}{11 \times 5}\\\\\\=\dfrac{49}{55}[/tex]

Answer:

Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Step-by-step explanation:

Answer:

-5/2

Step-by-step explanation:

Turn the standard form into slope intercept!

[tex]2y+5x=3[/tex]

[tex]2Y=3-5x\\[/tex]

Now, lets isolate y

[tex]y=\frac{3}{2} -\frac{5}{2}x[/tex]

-5/2 is the slope

Answer: 65£40625

Step-by-step explanation:

We know that there are already 150L of oil in the tank. So if we want to fill the tank, we need to add 1250L to fill the rest of the tank. The price of 1L of oil is 80.5p, which can be represented as [tex]\frac{80.5p}{L}[/tex]. If we want to know the price of the remaining 1250L, then we can multiply the denominator by 1250 because that way we can find the cost in p of 1250L. Now if you want to keep the ratio of the original equation to the cost of 1250L equal (or just keeping both expressions equal), then we also have to multiply the numerator by 1250. So, we then get [tex]\frac{(1250)(80.5p)}{(1250)(L)}[/tex]=[tex]\frac{100625p}{1250L}[/tex]. So the cost of 1250L is 100625p.

Now, applying the discount. To apply a discount x to some value y:

x - xy, where x = original value, y = discount.

So, substituting the original value of 100625p for x and the discount 6.5% = 0.065 for y, we get: (100625) - [(100625)(0.065)]. The question, however, doesn't ask for the discounted price, but rather the discount itself, or how much money you save. The expression xy gives us just that.

So, (100625)(0.065) gets us to to 6540.625p = 65£40625.

The First step to this problem is to find how much oil He needs.

In order to do that, we have to subtract 1400 L by 150 L

1400-150=1250

The second step to this problem is to calculate the total price (p) of the Oil that is needed

In order to do that, we have to find the price of the oil per liter which is 80.5p

Take out the P so it won't be hard

80.5x1250=100625p

The third step to this question is to Multiply the number: 100625 by 6.5/100. Given the fact that we convert 6.5% to Fraction

100635x6.5/100= 6541.275p

So, the answer is  6541.275

I hope this helps, if it's wrong plz blame me

Have a nice day (:

Answer:

21litres

Step-by-step explanation:

2/5 of 35litres of water was left in the tank

2/5 × 35 = 14litres

14litres remained

Amount of water poured out= 35-14

= 21litres

Answer:

7 3/8 hours

Step-by-step explanation:

5 + 2 = 7

2/8 + 1/8 = 3/8

Therefore, 7 + 3/8 =

7 3/8 hours

Answer:

C

Step-by-step explanation:

Answer:

c I took the test

Step-by-step explanation:

Answer:

The correct answer is none.

Step-by-step explanation:

The correct answer is y = -1/5x + 1

To find the equation of the line, start by finding the slope. You can do this by using the slope formula below.

m(slope) = (y2 - y1)/(x2 - x1)

m = (2 - -1)/(-5 - 10)

m = 3/-15

m = -1/5

Now that we have the slope, we can use it along with either point in the point-slope form to get the equation.

y - y1 = m(x - x1)

y - 2 = -1/5(x + 5)

y - 2 = -1/5x - 1

y = -1/5x + 1

Answer:

It Should be y= -1/5x + 1 but you have not listed it in your options...

Step-by-step explanation:

Answer:

x = 2 so y = 7

x = 4 so y = 11

Step-by-step explanation:

y = 2x + 3

x = 0 so y = 2(0) + 3 | y = 3

x = 2 so y = 2(2) + 3 | y = 7

x = 4 so y = 2(4) + 3 | y = 11

x = 6 so y = 2(6) + 3 | y = 15

Step-by-step explanation:

math question ? really ?

while it is true, as the other answer indicated, that experimental and practical are not the same, but the meaning of the words is different to what the other answer suggested.

please read the question again.

this is about "experimental" vs. "practical".

so, we are only dealing with adjectives (describing associated nouns).

something is "experimental", if it already exists, but it is not clear yet, if it will fulfill its intended purpose. only time and experience in using and applying that thing will tell us.

example : experimental drugs.

something is "practical" on the other hand, if we are not wondering about the effects of the existing thing but its usability. it is "practical", if this thing or method or operation guideline or ... is not too complicated to do, and any potentially necessary resources are relatively easily available and obtainable.

Answer:

1.05x I think

There are a few options we can take. One way is to use the tangent ratio to tie together the opposite and adjacent sides, and then apply the inverse tangent (aka arctangent) to get the angle itself.

Let x be the upper left acute angle, and y be the lower right acute angle.

We can say

tan(angle) = opposite/adjacent

tan(x) = 16/5

x = arctan(16/5)

x = 72.645975 approximately

x = 72.6

and also

tan(angle) = opposite/adjacent

tan(y) = 5/16

y = arctan(5/16)

y = 17.3540246

y = 17.4

Note how x+y = 72.6+17.4 = 90. The two acute angles of any right triangle are complementary, meaning they always add to 90. So if you found x, then you can compute y = 90-x without needing the tangent ratio.

Your calculator needs to be in degree mode when using the arctangent function, which is denoted as [tex]\tan^{-1}[/tex] on many graphing calculators.

Answer:

60

Step-by-step explanation:

10 ×6

that is the simple answer to your question

Answer:

4.3

im not sure

correct me if im wrong

Answer

6.7

Step-by-step explanation:

Works on acellus

Answer:

x  ≥ -2

Step-by-step explanation:

Hope this helps!

Answer:

y= -4x + 2

Step-by-step explanation:

Y= mx + b is used to find the equation of the line

m=-4 a d b= 2

So, you put them into the equation.

Answer:

y= 0x+4

Step-by-step explanation:

This is a horizontal line, since both coordinate pairs end in 4, so the slope is 0. The y-intercept is 4 because each point is 4.

Answer:

um

Step-by-step explanation:

Answer:

Its white! atleast i think its white because your pfp has white clothes on

Answer:

If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed).

Step-by-step explanation:

Since you didn't provide an image of the polygon I can't give you a direct answer but this is how you do it.

Answer:

t=84

Step-by-step explanation:

Malin's answer is $\frac{t-6}{6}$. Shawn's answer is $\frac{t+7}{7}$. We know these are equal, so we have the equation

$$\frac{t-6}{6} = \frac{t+7}{7}.$$

To eliminate denominators from the problem, we multiply both sides by $6\cdot 7$:

$$\frac{6\cdot 7\cdot (t-6)}{6} = \frac{6\cdot 7\cdot (t+7)}{7},$$

then simplify to get

$$7\cdot (t-6) = 6\cdot (t+7).$$

The parentheses are important here! For example, the parentheses on the left side of the equation tell us that it is $t-6$, not just $t$, which is multiplied by $7$.

Now we expand using the distributive property:

7t - 7\cdot 6 &= 6t + 6\cdot 7;\\

7t - 42 &= 6t + 42.

Adding $42$ to both sides gives

$$7t = 6t + 84,$$

then subtracting $6t$ from both sides gives $t=\boxed{84}$.

(We can check that starting from $t=84$, Malin and Shawn do indeed get the same final answer -- namely, $13$.)

Answer:

121 days; 30 full days

Step-by-step explanation:

to find how much days she takes you divide 2175 by 18

2175 / 18 is 120.833333

it will take her at least 121 days because you need to round up

the last portion of the hike would be a quarter of the hike

you would divide the final time by 4 and that is your answer

121 / 4 is 30.25

you have to round down because .25 is not a full day

she hiked 30 full days

Answer:

20%

Step-by-step explanation:

100%-80%=20%

....... .

The sequence of transformation is a reflection across the x-axis, followed by horizontal shift to the right by 2 units, and vertical shift up by 6 units

The vertices of triangle ABC are given as:

[tex]A = (1,9)[/tex]

[tex]B = (3,12)[/tex]

[tex]C =(4,4)[/tex]

The vertices of triangle A"B"C" are given as:

[tex]A" = (3,-3)[/tex]

[tex]B" = (5,-6)[/tex]

[tex]C" =(6,2)[/tex]

Start by reflecting the coordinates of triangle ABC across the x-axis.

The rule of this transformation is:

[tex](x,y) \to (x,-y)[/tex]

So, we have:

[tex]A' =(1,-9)[/tex]

[tex]B' =(3,-12)[/tex]

[tex]C' =(4,-4)[/tex]

Next, shift triangle A'B'C' 2 units right and 6 units up

The rule of this transformation is:

[tex](x,y) \to (x+2,y+6)[/tex]

So, we have:

[tex]A" = (3,-3)[/tex]

[tex]B" = (5,-6)[/tex]

[tex]C" =(6,2)[/tex]

Hence, the sequence of transformation is a reflection across the x-axis, followed by horizontal shift to the right by 2 units, and vertical shift up by 6 units

Read more about transformation at:

https://brainly.com/question/1448141

Answer:

y = 3x + 2

Step-by-step explanation:

3 is the slope

2 is the y-intercept

Answer: congruent bases

Step-by-step explanation:

what makes a trapezoid a trapezoid is that the bases are different! the side on top and bottom are different.