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Alexandra [31]
2 years ago
7

Factorize 3x4y3 – 48y3.

Mathematics
1 answer:
r-ruslan [8.4K]2 years ago
6 0

Answer:it’s 3y3 (x2 +4) (x +2 (x-2) hope this helps.

Step-by-step explanation:

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Solve for x <br> 3x+4 = (2/5)x +2
julsineya [31]

Answer:-10/13

Step-by-step explanation:

3x+4 = (2/5)x + 2

First move the 4 to the other side by subtracting it.

it becomes : 3x = (2/5)x - 2

then multiply everything by 5 to get rid of the fraction.

it becomes 15x = 2x -10

then move the 2x to the other side by subtracting it.

you get 13x = -10

now you can divide everything by 13 to isolate the x.

and you get x = -10/13

3 0
2 years ago
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I need help with this. A picture for #8 is above.
Sonja [21]

Since the lengths of the segments AD=PD are equal that means that the triangle is an isosceles triangle. This also means that the angles A and P (in the triangle) are equal.

This also means that the angle P' (the one inside the quadrilateral) is equal to:

180-\measuredangle B

Now, if we extend the sides DP and CB we notice that the angles P' and Q

are equal

The only way that this angles can be equal is if the line segments DP and CB are parallel, this comes from the fact that two alternate interior angles are equal if and only if the lines are parallel.

8 0
1 year ago
Quick algebra 1 assignment for 50 points!
Sati [7]

The examples and solutions to the functions are illustrated below based on the information given.

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

1st example: The cost of a bag of rice is $100 and subsequent bags cost $95. Illustrate. the function to calculate the cost for p bags of rice.

The function will be:

C = 100 + (95 × p)

C = 100 + 95p

<u>2nd example:</u><u> </u>The cost of a pen is $5. Find the cost of s pens.

The function will be:

C = 5 × p

C = 5p

<u>3rd example</u>: Calculate the total amount for m tickets if each ticket is $20.

The function will be;

C = 20 × m

C = 20m

<u>4th example:</u> Bon bought g mangoes at $2 each and d oranges at $3.40 each. Calculate the total cost.

C = (2 × g) + (3.40 × d)

C = 2g + 3.4d

<u>5</u><u>t</u><u>h</u><u> </u><u>example</u><u>:</u><u> </u>The average age of k number of boys is 7. Find their total age.

The function will be:

a = (7 × k)

a = 7k

Learn more about functions on:

brainly.com/question/25638609

#SPJ1

8 0
1 year ago
Read 2 more answers
Find the directional derivative of f(x,y,z)=2z2x+y3f(x,y,z)=2z2x+y3 at the point (−1,4,3)(−1,4,3) in the direction of the vector
Feliz [49]

f(x,y,z)=2z^2x+y^3

f has gradient

\nabla f(x,y,z)=2z^2\,\vec\imath+3y^2\,\vec\jmath+4xz\,\vec k

which at the point (-1, 4, 3) has a value of

\nabla f(-1,4,3)=18\,\vec\imath+48\,\vec\jmath-12\,\vec k

I'm not sure what the given direction vector is supposed to be, but my best guess is that it's intended to say \vec u=15\,\vec\imath+25\,\vec\jmath, in which case we have

\|\vec u\|=\sqrt{15^2+25^2}=5\sqrt{34}

Then the derivative of f at (-1, 4, 3) in the direction of \vec u is

D_{\vec u}f(-1,4,3)=\nabla f(-1,4,3)\cdot\dfrac{\vec u}{\|\vec u\|}=\boxed{\dfrac{294}{\sqrt{34}}}

4 0
3 years ago
Find the payment necessary to amortize a 6.3% loan of 7500 compounded semiannually, with 6 semiannual payments. Find the payment
Lorico [155]

Answer:

Semiannual payment = $ 1391.37

Total payment = $ 8348.22

Interest paid =  $ 848.22

Step-by-step explanation:

Since, the semiannual payment formula of a loan,

P=\frac{PV(\frac{r}{2})}{1-(1+\frac{r}{2})^{-n}}

Where,

PV = present value of the loan,

n = number of semiannual payments,

r = annual rate,

Here, PV = 7500, r = 6.3% =0.063, n = 6,

By substituting the value,

The semiannual payment would be,

P=\frac{7500(\frac{0.063}{2})}{1-(1+\frac{0.063}{2})^{-6}}

\approx \$ 1391.37

Also, total payment = semiannual payment × total semiannual periods

= 1391.37 × 6

= $ 8348.22,

Also, the interest paid = total payment - present value

= 8348.22 - 7500

= $ 848.22

6 0
3 years ago
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