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3 years ago

8

Help ASAP WILL NSRK BRAINLIST IF CORRECT

1 answer:

pashok25 [27]3 years ago

5 0

Answer:

(1,1)

Step-by-step explanation:

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Janice NEEDS 3 GALLONS of lemonade for a party. She has 4 quarts, 6 pints and 4 cups of lemonade already made. How many CUPS of

slamgirl [31]

Answer:

32 cups

Step-by-step explanation:

To find the total number of cups, we have to convert the measures that are not in cups to cups and add

1 quart = 4 cups

4 quarts = 4 x4 = 16 cups

1 pint = 2 cups

6 pints = 2 x 6 = 12 pints

total number of cups = 16 + 12 + 4 = 32 cups

4 0

3 years ago

Ms. Chu needs to buy hot dogs and buns for the school picnic. She needs at least one hot dog and bun for each of the 40 students

PtichkaEL [24]

Heksndurnfndjfndjwjfjrnwkfh

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3 years ago

You and three friends go out to eat and decide to split the bill evenly. The food you order comes to a total of $48. If you leav

zloy xaker [14]

Answer:

11.64

Step-by-step explanation:

100%-> 48

15%-> 7.20

6.25%-> 3

48+7.20+3=58.20

58.20÷5=11.64

4 0

3 years ago

Help me, please and ty

Ira Lisetskai [31]

Answer:

3/5, 30%, 0.1

Step-by-step explanation:

0.4 + 1/2 + 40% = 0.4 + 0.5 + 0.4 = 1.3

3/4 + 0.25 + 1/2 = 0.75 + 0.25 + 0.5 = 1.5

3/5 + 30% + 0.1 = 0.6 + 0.3 + 0.1 = 1

The last choice is a probability complement because all values add to 1.

8 0

3 years ago

Factor f(x)=x4-x3-7x2+13x-6 completely. Then Sketch the graph

Dennis_Churaev [7]

ANSWER TO QUESTION 1

$f(x)=(x-2)(x+3)(x-1)^2$ .

EXPLANATION

The function given to us is,

$f(x)=x^4-x^3-7x^2+13x-6$

According to rational roots theorem,

$\pm1,\pm2,\pm3,\pm6$ are possible rational zeros of

$f(x)=x^4-x^3-7x^2+13x-6$ .

We find out that,

$f(-3)=(-3)^4-(-3)^3-7(-3)^2+13(-3)-6$

$f(-3)=81+27-63-39-6$

$f(-3)=6-6$

$f(-3)=0$

Also

$f(2)=(2)^4-(2)^3-7(2)^2+13(2)-6$

$f(2)=16-8-28+26-6$

$f(2)=6-6$

$f(2)=0$

This implies that

$x-2 and x+3$ are factors of

$f(x)=x^4-x^3-7x^2+13x-6$ and hence $(x-2)(x+3)=x^2+x-6$ is also a factor.

We perform the long division as shown in the diagram.

Hence,

$f(x)=(x-2)(x+3)(x-1)^2$ .

ANSWER TO QUESTION 2

Sketching the graph

We can see from the factorization that the roots

$x=2$ and $x=-3$ have a multiplicity of 1, which is odd. This means that the graph crosses the x-axis at this intercepts.

Also the root $x=1$ has a multiplicity of 2, which is even. This means the graph does not cross the x-axis at this intercept.

Now we determine the position of the graph on the following intervals,

$x\le -3$

$f(-4)=(-4)^4-(-4)^3-7(-4)^2+13(-4)-6$

$f(-4)=150\:>0$

$-3\le x \le 1$

$f(0)=-6\:$

$1\le x\le 2$

$f(1.5)=-0.56\:$

$x \ge 2$

$f(3)=24\:>0$

We can now use these information to sketch the function as shown in diagram

4 0

3 years ago