All categories

3 years ago

Simplify the product using FOIL. (3x - 7)(3x - 5)

Mathematics

1 answer:

torisob [31]3 years ago

3 0

Answer:

9x² - 36x + 35

Step-by-step explanation:

FOIL = First Outside Inside Last

Step 1: F

9x²

Step 2: O

15x

Step 3: I

-21x

Step 4: L

Step 5: Combine FOIL

9x² -15x - 21x + 35

Step 6: Combine like terms

9x² - 36x + 35

You might be interested in

30 POINTS!!!!

Paha777 [63]

(w, 0)

(this is according to the patterns)

3 0

3 years ago

The difference in the price of 2 backpacks is $19.30. If one backpack costs $39.00, which of the answer choices could represent

Ostrovityanka [42]

Answer:

$19.70 OR $58.30

Step-by-step explanation:

I say either or because I can't see the answer choices.

Its either adding or subtracting from the one backpack we know is $39.00

If we know the difference between the two is 19.30

39.00+19.30 = 58.30

39.00-19.30= 19.70

See if either of those are available :) Hope this helps! :)

4 0

3 years ago

Select the correct answer. A line t runs upward to the right through two parallel horizontal lines r and s, forming 8 angles num

grigory [225]

The the next step in the proof is D. Statement: ∠7 ≅ ∠6 and ∠8 ≅ ∠5 Reason: Vertical Angles Theorem.

<h3>How to illustrate the angle?</h3>

It should be noted that vertical angles are the angles that are opposite each other when the two line cross.

In this case, 7 ≅ ∠6 and ∠8 ≅ ∠5 Reason: Vertical Angles Theorem.

In conclusion, the correct option is D.

Learn more about vertical angles on:

brainly.com/question/8935275

#SPJ1

7 0

2 years ago

Given the function below, if h(x) =-1 find x

Leto [7]

ans is 7/2

-1= -6x+20

6x=21

x=7/2

3 0

3 years ago

G verify that the divergence theorem is true for the vector field f on the region

Alenkasestr [34]

$\mathbf f(x,y,z)=\langle z,y,x\rangle\implies\nabla\cdot\mathbf f=\dfrac{\partial z}{\partial x}+\dfrac{\partial y}{\partial y}+\dfrac{\partial x}{\partial z}=0+1+0=1$

Converting to spherical coordinates, we have

$\displaystyle\iiint_E\nabla\cdot\mathbf f(x,y,z)\,\mathrm dV=\int_{\varphi=0}^{\varphi=\pi}\int_{\theta=0}^{\theta=2\pi}\int_{\rho=0}^{\rho=6}\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi=288\pi$

On the other hand, we can parameterize the boundary of $E$ by

$\mathbf s(u,v)=\langle6\cos u\sin v,6\sin u\sin v,6\cos v\rangle$

with $0\le u\le2\pi$ and $0\le v\le\pi$ . Now, consider the surface element

$\mathrm d\mathbf S=\mathbf n\,\mathrm dS=\dfrac{\mathbf s_v\times\mathbf s_u}{\|\mathbf s_v\times\mathbf s_u\|}\|\mathbf s_v\times\mathbf s_u\|\,\mathrm du\,\mathrm dv$
$\mathrm d\mathbf S=\mathbf s_v\times\mathbf s_u\,\mathrm du\,\mathrm dv$
$\mathrm d\mathbf S=36\langle\cos u\sin^2v,\sin u\sin^2v,\sin v\cos v\rangle\,\mathrm du\,\mathrm dv$

So we have the surface integral - which the divergence theorem says the above triple integral is equal to -

$\displaystyle\iint_{\partial E}\mathbf f\cdot\mathrm d\mathbf S=36\int_{v=0}^{v=\pi}\int_{u=0}^{u=2\pi}\mathbf f(x(u,v),y(u,v),z(u,v))\cdot(\mathbf s_v\times\mathbf s_u)\,\mathrm du\,\mathrm dv$
$=\displaystyle36\int_{v=0}^{v=\pi}\int_{u=0}^{u=2\pi}(12\cos u\cos v\sin^2v+6\sin^2u\sin^3v)\,\mathrm du\,\mathrm dv=288\pi$

as required.

3 0

4 years ago