State the leading coefficient of the polynomial:
f(x) = 6x^5 + 9x^4 + 2x^3 + 3x^2 - 4x -6

Answer:

7 + 2s = 15

4 shirts

Step-by-step explanation:

Let's say w denotes sweaters and s denotes shirts.

Since there are 7 more sweaters than shirts:

w = 7 + s

There are a total of 15 sweaters and shirts in all, so:

w + s = 15

Substitute 7 + s in for w in the second equation:

w + s = 15

7 + s + s = 15

7 + 2s = 15

Solving for s:

7 + 2s = 15

2s = 15 - 7 = 8

s = 8/2 = 4 shirts

Thus, the equation is 7 + 2s = 15, and there are 4 shirts.

~ an aesthetics lover

Answer:

distributive property of multiplication over addition

Step-by-step explanation:

hope this helps! :)

Answer:

Pemdas

Step-by-step explanation:

parenthesis

exponents

multiplication

division

addition

subtraction

Answer:

Step-by-step explanation:

In this problem. we are required to solve for the diameter of a circle.

Given data

circumference of circle c= 7.54mm

we know that the expression for the circumference is given as

c= 2πr

We can substitute our given data to solve for r

7.54= 2*3.142*r

7.54=6.284*r

divide both sides by 6.284 we have

r= 7.54/6.284

r= 1.199

diameter = 2*r

diameter= 1.199*2

diameter= 2.399

to  the nearest tenth

diameter= 2.40mm

Answer:  see proof below

Step-by-step explanation:

Use the following Sum to Product Identities:

sin (A) - sin (B) = 2 cos (A+B)/2 · sin (A-B)/2

sin (A) + sin (B) = 2 sin (A+B)/2 · cos (A-B)/2

Given:  sin Ф = k sin β      -->   (sin Ф)/(sin β) = k

Proof RHS → LHS

[tex]\text{RHS:}\qquad \qquad \qquad \dfrac{k-1}{k+1}\tan\dfrac{\theta+\beta}{2}[/tex]

[tex]\text{Given:}\qquad \qquad \dfrac{\frac{\sin \theta}{\sin \beta}-1}{\frac{\sin \theta}{\sin \beta}+1}}\cdot \tan\dfrac{\theta +\beta}{2}[/tex]

[tex]\text{Simplify:}\qquad \qquad \dfrac{\frac{\sin \theta}{\sin \beta}-\frac{\sin \beta}{\sin \beta}}{\frac{\sin \theta}{\sin \beta}+\frac{\sin \beta}{\sin \beta}}}\cdot \tan\dfrac{\theta +\beta}{2}\\\\\\.\qquad \qquad \qquad = \dfrac{\sin \theta -\sin \beta}{\sin \theta +\sin \beta}\cdot \tan\dfrac{\theta +\beta}{2}[/tex]

[tex]\text{Product to Sum:}\qquad \quad \dfrac{2\cos \frac{\theta+\beta}{2}\cdot \sin \frac{\theta-\beta}{2}}{2\sin \frac{\theta+\beta}{2}\cdot \cos \frac{\theta-\beta}{2}}\cdot \tan\dfrac{\theta +\beta}{2}[/tex]

[tex]\text{Expand:}\qquad \qquad \dfrac{2\cos \frac{\theta+\beta}{2}\cdot \sin \frac{\theta-\beta}{2}}{2\sin \frac{\theta+\beta}{2}\cdot \cos \frac{\theta-\beta}{2}}\cdot \dfrac{\sin\frac{\theta +\beta}{2}}{\cos \frac{\theta +\beta}{2}}[/tex]

[tex]\text{Simplify:}\qquad \qquad \quad \quad \dfrac{\sin \frac{\theta +\beta}{2}}{\cos \frac{\theta+ \beta}{2}}\\\\\\.\qquad \qquad \qquad \quad =\tan\dfrac{\theta +\beta}{2}[/tex]

 [tex]\text{LHS = RHS:}\quad \tan\dfrac{\theta +\beta}{2}=\tan\dfrac{\theta +\beta}{2}\quad \checkmark[/tex]

Answer:

The answer is 0.8-0.3=0.5.

Answer:

g=14

Step-by-step explanation:

do 17-3, the answer is 14, meaning 14=g

Answer:

g = 14

Step-by-step explanation:

g+3 = 17

Subtract 3 from each side

g+3-3 = 17-3

g = 14

Answer:

The difference in the lengths of the two alligators = 3

Step-by-step explanation:

First, let us make the lengths improper fractions, then we will find the difference from there.

Alligator 1:

Length = [tex]14\frac{5}{12} = \frac{173}{12}[/tex]

To convert to improper fraction, multiply the denominator by the whole number, and then add the denominator [(12 × 14) + 5]

Alligator 2:

Length = [tex]17\frac{5}{12} = \frac{209}{12}[/tex]

Now Let us find the difference between the lengths:

[tex]\frac{209}{12} - \frac{173}{12} = \frac{36}{12} =3[/tex]

Therefore the difference in the lengths of the two alligators = 3

Answer:

6.7082039325......tbc

Answer:

9

Step-by-step explanation:

The reason why it is 9 is because if you look to the bigger triangle, you can see that 15 is 3/4 the size of 20, so once you find what number is 3/4 of 12, you have the answer, 9! Hope this helps!

Answer:

x=5/16

Step-by-step explanation:

Let's solve your equation step-by-step.

4x(−4)=−2−(−3)−6

Step 1: Simplify both sides of the equation.

4x(−4)=−2−(−3)−6

−16x=−2+3+−6

−16x=(−2+3+−6)(Combine Like Terms)

−16x=−5

−16x=−5

Step 2: Divide both sides by -16.

−16x

−16

=−5/−16

x=5/16

can I be the brainiest please!!

Answer:

m = 18

Step-by-step explanation:

Step 1: Write out equation

-1/2m = -9

Step 2: Multiply both sides by -2

m = 18

Answer:

972

Step-by-step explanation:

[tex] {6}^{2} \times {3}^{3} \\ = 36 \times 27 \\ = 972[/tex]

one ans six are infinite

Answer:

(7+x)-5=42

Step-by-step explanation:

Follow me for more answers If you like my way of solving

Step-by-step explanation:

Hey there!

The equation, of a st. line that passes through point (5,9) is,

[tex](y - y1) = m1(y - y1)[/tex]

Put the values,

[tex](y - 9) = m1(x - 5)[/tex]

It is 1st equation.

Now, another equation is,

y = 3x-1.........(ii)

Comparing the equation with y = mx+c.

Slope (m2)= 3

As per the parallel lines,

m1=m2=3

Putting,

the value of m1 in equation(i)

(y-9)= 3(x-5)

y-9= 3x - 15

y = 3x - 6.

So, Krista equation is correct.

Hope it helps...

Answer:

2x² + 5x - 4y - 7

Step-by-step explanation:

combine the like terms -6y and 2y

2x² + 5x - 6y + 2y - 7

2x² + 5x - 4y - 7

Answer: GIVE MEEEE BRAINLIEST PLEASE

(−1)2−2+(−3)2+(−4)2

=24

Step-by-step explanation:

(−1)2−2+(−3)2+(−4)2

=24

Step-by-step explanation:

thats what I got hope this helped you out

Answer:

16

Step-by-step explanation:

(75/100)*x=12

75x=12*100

75x=1200

x=1200/75

x=16

Answer:

16

Step-by-step explanation:

divide 75 by 100

multiply 12 by 100

which is 1200

divide 1200 by 75

and your answer is 16

Answer:

The answer is 10

Step-by-step explanation:

Answer:

Answer is 10!

Step-by-step explanation:

Answer:

The simplified answer is -2n+6

Step-by-step explanation:

All you have to do is simplify terms. -7n and 5n are terms you can combine, giving you -2n and +6 cant be simplified

Answer:

-4x - 24

Step-by-step explanation:

distribute the -4 by multiplying it by what is in the parenthisis. Since it is negative that makes a -4x and a -24

Hey there!

[tex]-4(x+6)[/tex]

Let's separate -4 and x+6 with parenthesis.

[tex](-4)(x+6)[/tex]

Now let's separate all with parenthesis.

[tex](-4)(x)+(-4)(6)=-4x-24\\-4x-24(ANSWER)[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

Answer:

The answer to the question is 2(l+w).

Answer:

22cm

Step-by-step explanation:

Circumference of a circle = 2πr

π = 22/7

r = 3.5

Circumference of a circle = 2 × (22/7) × 3.5

Circumference of a circle = 22cm.

Answer:

x = 3

Step-by-step explanation:

Step 1:

6x + 5 = 23

Step 2:

6x = 18

Answer:

x = 3

Hope This Helps :)

Answer:

4 books

Step-by-step explanation:

We are told that: Hugh bought some magazines that cost 3.95 each

Hugh bought 3 magazines.

Hence, total cost of magazines = 3 magazines × 3.95

= 11.85.

Total cost of magazines = 11.85

From the question, we know that, the total amount Hugh spent = 47.65

Hence, The total cost for books =

Total amount spent - Total cost of magazines

= 47.65 - 11.85

= 35.80

Therefore, the total cost of books = 35.80

We are told in the question that the cost of books is 8.95 each or 8.95 per book.

Hence, the number of books that Hugh bought is calculated as :

35.80/8.95

= 4 books

Therefore, Hugh bought 4 books

Answer:

3

Step-by-step explanation:

So we have the function:

[tex]f(x)=3x^2+2x-5[/tex]

To evaluate the value of f(-2), substitute -2 for x. Thus:

[tex]f(-2)=3(-2)^2+2(-2)-5[/tex]

Square first:

[tex]f(-2)=3(4)+2(-2)-5[/tex]

Multiply:

[tex]f(-2)=12-4-5[/tex]

Now, subtract:

[tex]f(-2)=8-5=3[/tex]

So:

[tex]f(-2)=3[/tex]

And we're done!