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3 years ago

6

Adam has 16.45 kg of flour,and he uses 6.4 kg to make hot cross buns. The remaining flour is exactly enough to make 15 batches o

f scones. How much flour, on kg, will be in each batch of scomes?

1 answer:

ivolga24 [154]3 years ago

6 0

0.67 kg of flour will be in each batch of scones

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19) Given that f(x)x² - 8x+ 15x² - 25find the horizontal and vertical asymptotes using the limits of the function.A) No Vertical

Tems11 [23]

EXPLANATION

Since we have the function:

$f(x)=\frac{x^2-8x+15}{x^2}$

Vertical asymptotes:

$For\:rational\:functions,\:the\:vertical\:asymptotes\:are\:the\:undefined\:points,\:also\:known\:as\:the\:zeros\:of\:the\:denominator,\:of\:the\:simplified\:function.$

Taking the denominator and comparing to zero:

$x+5=0$

The following points are undefined:

$x=-5$

Therefore, the vertical asymptote is at x=-5

Horizontal asymptotes:

$\mathrm{If\:denominator's\:degree\:>\:numerator's\:degree,\:the\:horizontal\:asymptote\:is\:the\:x-axis:}\:y=0.$ $If\:numerator's\:degree\:=\:1\:+\:denominator's\:degree,\:the\:asymptote\:is\:a\:slant\:asymptote\:of\:the\:form:\:y=mx+b.$ $If\:the\:degrees\:are\:equal,\:the\:asymptote\:is:\:y=\frac{numerator's\:leading\:coefficient}{denominator's\:leading\:coefficient}$ $\mathrm{If\:numerator's\:degree\:>\:1\:+\:denominator's\:degree,\:there\:is\:no\:horizontal\:asymptote.}$ $\mathrm{The\:degree\:of\:the\:numerator}=1.\:\mathrm{The\:degree\:of\:the\:denominator}=1$ $\mathrm{The\:degrees\:are\:equal,\:the\:asymptote\:is:}\:y=\frac{\mathrm{numerator's\:leading\:coefficient}}{\mathrm{denominator's\:leading\:coefficient}}$ $\mathrm{Numerator's\:leading\:coefficient}=1,\:\mathrm{Denominator's\:leading\:coefficient}=1$ $y=\frac{1}{1}$ $\mathrm{The\:horizontal\:asymptote\:is:}$ $y=1$

In conclusion:

$\mathrm{Vertical}\text{ asymptotes}:\:x=-5,\:\mathrm{Horizontal}\text{ asymptotes}:\:y=1$

4 0

2 years ago

Does coordinate m or coordinate n represent a greater number in the following parallelogram?

gavmur [86]

Coordinate m

Hope this helps

6 0

3 years ago

Read 2 more answers

Find two consecutive integers such that the sum of their squares is 145.

DiKsa [7]

Answer: 8 and 9 or -9 and -8

Step-by-step explanation:

Let $x$ be the first of the two integers. Then, since the numbers are consecutive, $x+1$ is the other integer. We then know that the sum of the squares of $x$ and $x+1$ is equal to 145. So, now we have the equation

$x^2+(x+1)^2=145$

which can be expanded and simplified to

$2x^2+2x+1=145$

which then gives us the quadratic equation

$2x^2+2x-144=0$

This can then be factored into

$2(x^2+x-72)=0$

Which can be simplified further into

$2(x-8)(x+9)=0$

So either $x=8$ or $x=-9$ . This gives us two solutions: 8 and 9 or -9 and -8.

Hope this helps! CHEERS!

7 0

4 years ago

Suppose the demand for a certain item is given by:

Marysya12 [62]

Answer:

a. D'(p) = -10p - 6

b. There is a decrease of 96 units of demand for each dollar increase

Step-by-step explanation:

The demand function is:

$D(p) = - 5p^2-6p+400$

(a) The derivate of the demand function with respect to price gives us the rate of change of demand:

$\frac{dD(p)}{dp}=D'(p) = -10p-6$

(b) When p = $9, the rate of change of demand is:

$D'(9) = -10*9-6\\D'(9) = -96\ \frac{units}{\$}$

This means that, when p = $9, there is a decrease of 96 units of demand for each dollar increase.

6 0

3 years ago

Stefanie bought a package of pencils for $1.75 and some erasers that cost $0.25 each. She paid a total of $4.25 for these items,

pentagon [3]

Firstly, we’d have to find the total price paid for erasers by subtracting the overall price from the amount she paid in pencils.

$4.25 - $1.75 = $2.50

From there, we can use the amount per eraser to find out how many erasers she bought. Since she spent $2.50 in erasers, we can multiply to find our missing number.

$0.25 x 10 = $2.50

Therefore, Stefanie bought 10 erasers.

Hope this helps! :)

3 0

3 years ago

Read 2 more answers