Factor a number, variable, or expression out of the polynomial shown below. 15x^3 + 20x

MariettaO [177]

42.
As
1 dozen is 12 eggs, 3 dozens of the eggs is 12×3=36.
half of a dozens is 6 so
36+6 =42

6 0

3 years ago

Valeria is playing with her accordion. The length of the accordion A(t)A(t)A, left parenthesis, t, right parenthesis (in \text{c

ikadub [295]

Answer:

−6cos( π/3 t)+21

Step-by-step explanation:

8 0

3 years ago

2 Here are two equations:

MatroZZZ [7]

a. (3,4) is only the solution to Equation 1.

(4, 2.5) is the solution to both equations

(5,5) is the solution to Equation 2

(3,2) is not the solution to any equation.

b. No, it is not possible to have more than one (x,y) pair that is solution to both equations

Step-by-step explanation:

a. Decide whether each neither of the equations,

i (3,4)

ii. (4,2.5)

ill. (5,5)

iv. (3,2)

To decide whether each point is solution to equations or not we will put the point in the equations

Equations are:

Equation 1: 6x + 4y = 34

Equation 2: 5x – 2y = 15

i (3,4)

Putting in Equation 1:

$6(3) + 4(4) = 34\\18+16=34\\34=34\\$

Putting in Equation 2:

$5(3) - 2(4) = 15\\15-8 = 15\\7\neq 15$

ii. (4,2.5)

Putting in Equation 1:

$6(4) + 4(2.5) = 34\\24+10=34\\34=34\\$

Putting in Equation 2:

$5(4) - 2(2.5) = 15\\20-5 = 15\\15=15$

ill. (5,5)

$6(5) + 4(5) = 34\\30+20=34\\50\neq 34$

Putting in Equation 2:

$5(5) - 2(5) = 15\\25-10 = 15\\15=15$

iv. (3,2)

$6(3) + 4(2) = 34\\18+8=34\\26\neq 34$

Putting in Equation 2:

$5(3) - 2(2) = 15\\15-4 = 15\\11\neq 15$

Hence,

(3,4) is only the solution to Equation 1.

(4, 2.5) is the solution to both equations

(5,5) is the solution to Equation 2

(3,2) is not the solution to any equation.

b. Is it possible to have more than one (x, y) pair that is a solution to both

equations?

The simultaneous linear equations' solution is the point on which the lines intersect. Two lines can intersect only on one point. So a linear system cannot have more than one point as a solution

So,

a. (3,4) is only the solution to Equation 1.

(4, 2.5) is the solution to both equations

(5,5) is the solution to Equation 2

(3,2) is not the solution to any equation.

b. No, it is not possible to have more than one (x,y) pair that is solution to both equations

Keywords: Linear equations, Ordered pairs

Learn more about linear equations at:

#LearnwithBrainly

8 0

3 years ago

HELP PLEASEE i need it

Soloha48 [4]

Answer:

See explanation

Step-by-step explanation:

1st photo:

x = $\sqrt{15}$

$\frac{x}{5} = \frac{3}{x}$

$x^{2}$ = 15

x = $\sqrt{15}$

2nd photo:

(a) GEH ~ FGH ~ FEG

similar triangles, use similar corners in the right order

(b) $\frac{FE}{GE} = \frac{GE}{EH}$ AND $\frac{FH}{GH} = \frac{GH}{HE}$

similar triangles, use similar sides in proportion

3rd photo:

x = 4.5 or 4 1/2

$\frac{x}{3} = \frac{3}{2}$

2x = 9

x = 4.5 or 4 1/2

4th photo:

Length of string = 118.2 ft

sin(40) = 76/x

x = 76/sin(40) = 118.2

7 0

3 years ago

find a positive angle less than one revolution around the unit circle that is co-terminal with the given angle -15pi/17

natta225 [31]

ANSWER
$=\frac{19}{17} \pi$

EXPLANATION

To find a positive angle that is coterminal with
$- \frac{15}{17} \pi$

We add multiples of 2π until we get a positive angle that is less than one revolution,

We add to obtain,

$- \frac{15}{17} \pi + 2\pi$

This simplifies to,

$= \frac{19}{17} \pi$

This is the first positive angle that is coterminal with
$- \frac{15}{17} \pi$

and is less than one revolution.

7 0

3 years ago