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2 years ago

Please help a girl out algebra 1!

Mathematics

2 answers:

Viefleur [7K]2 years ago

5 0

Answer:

Step-by-step explanation:

(4a^2b^7)×(9b^4)

=(4*9)*(a^2)*(b^7*b^4)

=36a^2b^11

kondaur [170]2 years ago

5 0

Answer:

Step-by-step explanation:

Simplify the expression.

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Charity is four times as old as her daughter. She is also six years younger than her husband. The sum of their ages ten years to

zubka84 [21]

Answer: Charity is 36 years old today.

Step-by-step explanation:

Let x = Present age of daughter.

Age of Charity = 4x

Age of her husband = 4x+6

After 10 years,

Age of daughter = x+10

Age of Charity = 4x+10

Age of her husband = 4x+6+10=4x+16

As per given,

$x+10+4x+10+4x+16=117$

$9x+36=117\\\\ 9x=117-36\\\\ 9x=81\\\\ x=9$

Present age of Charity = 4(9)=36 years

Hence, Charity is 36 years old today.

4 0

3 years ago

This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive an

Lapatulllka [165]

Answer:

Step-by-step explanation:

Given that there is a function of x,

$f(x) = 2sin x + 2cos x,0\leq x\leq 2\pi$

Let us find first and second derivative for f(x)

$f'(x) = 2cosx -2sinx\\f"(x) = -2sinx-2cosx$

When f'(x) =0 we have tanx = 1 and hence

a) f'(x) >0 for I and III quadrant

Hence increasing in $(0, \pi/2) U(\pi,3\pi/2)\\$

and decreasing in $(\pi/2, \pi)U(3\pi/2,2\pi)$

$x=\frac{\pi}{4}, \frac{3\pi}{4}$

$f"(\pi/4)$

Hence f has a maxima at x = pi/4 and minima at x = 3pi/4

b) Maximum value = $2sin \pi/4+2cos \pi/4 =2\sqrt{2}$

Minimum value = $2sin 3\pi/4+2cos 3\pi/4 =-2\sqrt{2}$

f"(x) =0 gives tanx =-1

$x= 3\pi/4, 7\pi/4$

are points of inflection.

concave up in (3pi/4,7pi/4)

and concave down in (0,3pi/4)U(7pi/4,2pi)

3 0

3 years ago

Let a = x^2 + 4. Rewrite the following equation in terms of a and set it equal to zero. ( x^2 + 4 )^2 +32 = 12x^2 + 48

Aleks04 [339]

Answer: In the resulting equation: " a² - 12a + 32 = 0 " ;
________________________________________________________
The "coefficient" of the "a" term is: " - 12" .
________________________________________________________
The "constant" is: " 32 " .
________________________________________________________

Explanation:
________________________________________________________

Let: "a = x² + 4 " .

Given: (x² + 4)² + 32 = 12x² + 48 ;
______________________________________________________

Factor: "12x² + 48" into " (x² + 4) " ;

"12x² + 48" = 12 (x² + 4) " ;
______________________________________________________

Given: (x² + 4)² + 32 = 12x² + 48 ;

rewrite as; "a² + 32 = 12a " ;

Subtract "12a" from each side of the equation;

"a² + 32 - 12a = 12a - 12a ;

to get:

" a² - 12a + 32 = 0 " .
___________________________________________________
The coefficient of the "a" term; that is:

The "coefficient" of " -12a" ; is: "- 12" .

The constant is: "32" .
___________________________________________________

4 0

3 years ago

Help please what us radius and diameter

docker41 [41]

Answer:

The Radius is 7.5, the Diameter is 15, as you are just doubling the Radius

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Find the solution set (x,y,z) of the system: 3x-2y+4z=6 2y-3z=20 6z=12

gizmo_the_mogwai [7]

Answer:

The solution is x = 8, y = 13 and z = 2.

Step-by-step explanation:

We are given a system of equations with the variables x, y, and z from which we have to solve for x, y, and z.

The equations are

3x - 2y + 4z = 6 ........ (1)

2y - 3z = 20 .......... (2)

6z = 12 ......... (3)

Now, from equation (3), we get z = 2.

Now, putting z = 2 in equation (2) we get

2y = 20 + 6 = 26

⇒ y = 13

Now, from equation (1), putting y = 13 and z = 2, we get

3x = 6 - (4 × 2) + (2 × 13) = 24

⇒ x = 8

So the solution is x = 8, y = 13 and z = 2. (Answer)

4 0

2 years ago