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miss Akunina [59]

3 years ago

6

For every batch of cookies Carla's made , her brother ate 2 cookies. If Carla's brother ate a total of 6 cookies, how many batch

es of cookies did Carla make?

1 answer:

spayn [35]3 years ago

3 0

Step-by-step explanation:

number of the total cookies ÷ the nber her brother ate

6÷2=3

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If x = false and y = false, is the statement: not x or not y<br> a) true<br> b) false

pantera1 [17]

Answer:

false

Step-by-step explanation:

X is equal to Y

therefore,

X = Y

X= false

Y = false

so,

false = false

6 0

2 years ago

2³+2²+2÷2²+2+1=2 prove that this relation is true for any natural numbers

UkoKoshka [18]

So, this question is basically asking us "If we had an x instead of a 2, would this be true?" We can try and see what we get:

$\frac{x^3+x^2+x}{x^2+x+1}=x$

So, if we want to show this we have to change the numerator or denominator in such a way that we can cancel some common factors. Notice that $x^3+x^2+x=x(x^2+x+1)$

If we replace the factored numerator with the original one, we get:

$\frac{x(x^2+x+1)}{x^2+x+1}=x \implies \\ x=x$

Since we have an equality, this relation is proved.

3 0

3 years ago

Complete the square f(x) = x^2 + 4x - 8 <br><br><br> PLZ help me ;c

Semenov [28]

Ok, first group x terms
f(x)=(x²+4x)-8
factor out quadratic coefient (no need but that's the step)
f(x)=1(x²+4x)-8
take 1/2 of the linear coefient and square it
4/2=2, (2)²=4
add positive and negative of it insides the parenthasees
f(x)=1(x²+4x+4-4)-8
factor perfect square
f(x)=1((x+2)²-4)-8
distribute
f(x)=1(x+2)²-4-8
f(x)=1(x+2)²-12
and, now if we wanted to find the x intercepts where f(x)=0 then
0=1(x+2)²-12
12=(x+2)²
+/-2√3=x+2
-2+/-2√3=x

x=-2+2√3 or -2-2√3
that is where the x intercept are

and completed square form is
f(x)=(x+2)²-12

6 0

3 years ago

Evaluate:<br> 2a + 7b for a = 5 and b = 3

Schach [20]

Answer:

31

Step-by-step explanation:

Substitute the values for the variables.

$2(5)+7(3)\\10+21\\31$

7 0

2 years ago

Read 2 more answers

The table below shows the participation in the town soccer league during its first five seasons.

emmasim [6.3K]

Answer:

C. $y=6.75x+81.25$

Step-by-step explanation:

We are given that

In I year, number of participants=88

In V year, number of participants=115

We have to find the equation of the trend line that can be generated by using the data from years 1 and 5.

Rate of change of participants = $\frac{change\;in;participants}{change\;in\;time}=\frac{115-88}{5-1}$

Rate of change of participants,m=6.75

Point-slope form: $y-y_1=m(x-x_1)$

Where m=Rate of change of participants per year

$x_1=5,y_1=115$

By using the formula

Substitute the values then we get

$y-115=6.75(x-5)$

$y-115=6.75x-33.75$

$y=6.75x-33.75+115$

$y=6.75x+81.25$

Hence, option C is true.

8 0

3 years ago