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3 years ago

7

What is the coefficient and constant of 3c + 4

2 answers:

DedPeter [7]3 years ago

8 0

3 is the constant.and this the answer I found

kobusy [5.1K]3 years ago

4 0

Answer:

The coefficient is 3 and the constant is 4 in

relation to the equation mx + c where m is the coefficient of x and c is the constant.

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The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P. If the volume o

LuckyWell [14K]

Can you help I have tried 4 times

7 0

3 years ago

A pail has a capacity 4 times that of a glass.

mariarad [96]

Answer:

smallest is 3L

biggest is 12L

Step-by-step explanation:

here is what i got, i hope it helps!

Pail=4 glasses

Jug=3 glasses

Glass=1 glass

4+3+1=8glasses

24L÷8glasses= 3L in each glass

pail=12L (4×3)

jug=9L (3x3)

glass=3L (1×3)

12L+9L+3L=24L

3 0

3 years ago

The graph of the quadratic function y = ax^2 + bx + c is given.<br> Find a + b + c.

andrey2020 [161]

Answer:

$\frac{145}{24}\approx 6$ ***

Answers may vary depending on the person reading the graph.

It is hard to tell what they think crosses nicely.

For example, I decided that the graph crossed nicely at the following points:

$(0,3)$

$(2,8)$

$(6,5)$

Step-by-step explanation:

I see that the graph crosses at $(0,3)$ , $(2,8)$ , and $(6,5)$ .

The equation $y=ax^2+bx+c$ tells us the $y$ -intercept is $c$ since when $x=0$ we have $y=a(0)^2+b(0)+c=0+0+c=c$ .

The $y$ -intercept for our graph is $3$ . Therefore, $c=3$ .

So far we have the equation:

$y=ax^2+bx+3$ .

Let's enter the other points creating a system of linear equations to solve:

$8=a(2)^2+b(2)+3$

$5=a(6)^2+b(6)+3$

Let's simplify:

$8=4a+2b+3$

$5=36a+6b+3$

Let's subtract 3 on both sides:

$5=4a+2b$

$2=36a+6b$

I choose to solve the system by elimination.

Let's multiply the top equation by -3:

$-15=-12a-6b$

$2=36a+6b$

Now adding the equations results in:

$-13=24a$

Divide both sides by 24:

$\frac{-13}{24}=a$

Now using one of the equations we can find $b$ :

$5=4a+2b$ with $a=\frac{-13}{24}$

$5=4\frac{-13}{24}+2b$

$5=\frac{-13}{6}+2b$

Add 13/6 on both sides:

$5+\frac{13}{6}=2b$

$\frac{30+13}{6}=2b$

$\frac{43}{6}=2b$

Divide both sides by 2:

$\frac{43}{2(6)}=b$

$\frac{43}{12}=b$

So we have the equation:

$y=\frac{-13}{24}x^2+\frac{43}{12}+3$

Let's evaluate $a+b+c$ now:

$\frac{-13}{24}+\frac{43}{12}+3$

$\frac{-13+86+72}{24}$

$\frac{73+72}{24}$

$\frac{145}{24}$

4 0

3 years ago

If function f is defined by f x( ) = 3x2 − 5x + 4, what is f x( − 4) ?

ch4aika [34]

F(-4) = 3 x 2 - 5(-4) + 4
3x2= 6
-5(-4)= 20
6-20= -14
-14+4= -10
f(-4) = -10

6 0

3 years ago

In your own words, describe the process of multiplying binomials using the FOIL method. You can either write a paragraph describ

neonofarm [45]

Answer:

We can describe FOIL using the distributive property of multiplication. For real numbers x, y, and z the distributive property of multiplication states that

$(x + y)z = xz + yz$

Now let $z = v + w$ , where v and w are real numbers.

Then $(x + y)(v + w) = x(v + w) + y(v + w)$

Here, we can again use the distributive property of multiplication to get

$x(v + w) + y(v + w) = xv + xw + yv + yw$

Hence, it follows that

$(x + y)(v + w) = xv + xw + yv + yw$

This is the method of FOIL (first: xv, outside: xw, inside: yv, last: yw)

For example, $(1 + 2)(3 + 4) = 21 \\\text{and} \\1(3) + 1(4) + 2(3) + 2(4) = 3 + 4 + 6 + 8 = 21$

5 0

2 years ago