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2 years ago

2. What is the x-value to the solution for the system of equations y = -5x - 9 and y = 2x + 5.

Mathematics

1 answer:

pav-90 [236]2 years ago

7 0

Answer:

The x-value is -2

Step-by-step explanation:

U can substitute any of the equations for y

-5x + (-9) = 2x + 5

-9 = 7x + 5

-14 = 7x

-2 = x

x = 2

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Greg invested $9,000 in an investment account that earns 4.2% interest compounded monthly.

Ulleksa [173]

Answer:

Step-by-step explanation:

$y=a(1+r/c)^{ct}\\ \\ y=9000(1+.042/12)^{12t}\\ \\ y=9000(1.0035)^{12t}\\ \\ a)\ y=9000(1.0035)^{12(10)}=\$ 13687.61\\ \\ b)\ 15400=9000(1.0035)^{12t}\\ \\ 1.0035^{12t}=77/45\\ \\ 12t ln(1.0035)=ln(77/45)\\ \\ t=(ln(77/45))/(12ln(1.0035))\\ \\ t\approx 12.8\ years$

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2 years ago

What is the area of the rectangle

OLEGan [10]

To find the area of a rectangle, we must use the formula, A = lw, where the variable l represents the length of the rectangle and the variable w represents the width of the rectangle. To find the area, we just have to substitute in the values we are given for the length and width (shown in the picture above) to calculate the area. This is modeled below:

A = lw

A = 12 cm * 5 cm

To solve, we simply multiply the two factors on the right side of the equation to find the area. Remember that because we are multiplying these two numbers together, we should end up with an answer that has squared units!

A = 60 cm²

Therefore, your answer is that the area of the rectangle is 60 cm².

Hope this helps!

3 0

3 years ago

Evaluate the expression for n = –8.<br><br> –2n − 6 =

Nana76 [90]

Answer:

Step-by-step explanation:

$\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}$

5 0

2 years ago

Tags are attached to the left and right hind legs of a cow in a pasture. Let A1 be the event that the left tag is lost and the e

ioda

Answer:

Step-by-step explanation:

Given that tags are attached to the left and right hind legs of a cow in a pasture. Let A1 be the event that the left tag is lost and the event that the right leg tag is lost. Suppose those two events are independent and A2 the event that the right leg tag is lost. Suppose those two events are independent and P(A1) = P(A2) = 0.3

a) the probability that at least one leg tag is lost

= $P(A_1 U A_2)\\= P(A_1) + P(A_2)-{(A_1 \bigcap A_2)\\=P(A_1) + P(A_2)-{(A_1 )P(A_2)$

(since A1 and A2 are independent)

=0.3+0.3-0.09

=0.51

b) the probability that exactly one tag is lost, given that at least one tag is lost.

= P(one leg lost)/P(atleast one leg lost)

= $P(atleast one leg lost)-P(Both lost)/0.51\\= \frac{0.51-0.09}{0.51} \\=14/17$

c) the probability that exactly one tag is lost, given that at most one tag is lost.

4 0

3 years ago

PLEASEEE HELP ME ASAP!!

denpristay [2]

Answer:

Hence,

The measure of ∠A is 60.065°

$\m\angle A= 60.065$

Step-by-step explanation:

Given:

ΔABC is a Right Angle Triangle at ∠ B = 90°

BC = Opposite side to ∠A = 13 unit

AC = Hypotenuse = 15 unit

To Find:

m∠A = ?

Solution:

In Right Angle Triangle ABC ,Sine Identity,

$\sin A= \dfrac{\textrm{side opposite to angle A}}{Hypotenuse}\\$

Substituting the values we get

$\sin A= \dfrac{BC}{AC}=\dfrac{13}{15}=0.8666\\\angle A=\sin^{-1}(0.8666)\\m\angle A= 60.065\°$

Hence,

The measure of ∠A is 60.065°

$\m\angle A= 60.065$

7 0

3 years ago