Find the intersection point between the lines of equations:

x+y-2=0 and 3x-y+4=0 ​

Answer:

E) y= 2x-11

Step-by-step explanation:

as we know the equation of line parallel to

y =2x-7 or, 2x-y-7=0 is 2x-y+k=0

as the line passes through the point (5,-1)

substituting the value of x and y in equation 2x-y+k=0

we get,

2×5-(-1)+k=0

or, 10+1+k=0

or, k=-11

hence putting the value of k in ep 2x-y+k=0

we get 2x-y-11=0

or, y=2x-11

Answer:

27%

Step-by-step explanation:

Answer:

p(j)=27% is correct answer

Answer:

12^(3/2)

Step-by-step explanation:

(2x6)^3/2

2x6=12

12^3/2= 41.5692193817

Answer:

In picture

Step-by-step explanation:

Brainliest please~

[tex](0,3)[/tex] and [tex](1,-2)[/tex]

Equation: (refer the image below)

Slope:

[tex]m=\frac{3+2}{0-1}[/tex]

[tex]m=-5[/tex]

Equation:

[tex]y=5x-b[/tex]

[tex]3=b[/tex]

Substitute (0,3)

Point: [tex](1,-2)[/tex]

Answer:

31

Step-by-step explanation:

[tex]3+7[/tex] × 4        Multiply first

3 + 28           Then add

31

Given:

For en exponential function f(a):

[tex]f(-3)=18[/tex]

[tex]f(1)=59[/tex]

To find:

The value of f(0).

Solution:

The general form of an exponential function is:

[tex]f(x)=ab^x[/tex]          ...(i)

Where, a is the initial value and b is the growth/ decay factor.

We have, [tex]f(-3)=18[/tex]. Substitute [tex]x=-3,f(x)=18[/tex] in (i).

[tex]18=ab^{-3}[/tex]            ...(ii)

We have, [tex]f(1)=59[/tex]. Substitute [tex]x=1,f(x)=59[/tex] in (i).

[tex]59=ab^{1}[/tex]            ...(iii)

On dividing (iii) by (ii), we get

[tex]\dfrac{59}{18}=\dfrac{ab^{1}}{ab^{-3}}[/tex]

[tex]3.278=b^{1-(-3)}[/tex]

[tex]3.278=b^{4}[/tex]

[tex](3.278)^{\frac{1}{4}}=b[/tex]

[tex]1.346=b[/tex]

Substituting the value of b in (iii).

[tex]59=a(1.346)^1[/tex]

[tex]\dfrac{59}{1.346}=a[/tex]

[tex]43.83358=a[/tex]

[tex]a\approx 43.83[/tex]

The initial value of the function is 43.83. It means, [tex]f(0)=43.83[/tex].

Therefore, the value of f(0) is 43.83.

Answer:

d

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

2(5x - 3) = 24

Divide both sides by 2.

5x - 3 = 12

Add 3 to both sides.

5x = 15

Divide both sides by 5.

x = 3

im sorry i dont know the answer

Answer:

Hey, could you please add the number line to the question too

Answer:

7

Step-by-step explanation:

Exterior Angle Theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles.

In this case:

(4x + 7) + (97) = (17x + 13)

4x + 104 = 17x + 13

4x + 91 = 17x

91 = 13x

7 = x

Answer:

They are parallel so also -4/3

Answer:

sorry I don't know

Step-by-step explanation:

.........

[tex]\large {\text {$ \sf \cfrac{1}{2x^2} -2 = 0 $}}[/tex]

[tex]\large {\text {$ \sf \cfrac{1}{2x^2}\cdot \:2x^2-2\cdot \:2x^2=0\cdot \:2x^2 $}[/tex]

                 [tex]\searrow[/tex]

                     [tex]\large {\text {$ \sf 1-4x^2=0$}}[/tex]

[tex]\large {\text {$ \sf -4x^2+1 = 0 $}}[/tex]

[tex]\large {\text{$\sf x=\cfrac{-b\pm\sqrt{b^2-4ac}}{2a} \quad\rightarrow\quad x=\cfrac{-0\pm\sqrt{0^2-4\cdot (-4) \cdot1} }{2\cdot (-4) } \:\rightarrow\:\: x=\cfrac{-0^2 \pm4}{2 \cdot(-4)} $}}[/tex]  

                                                             [tex]\huge {\text {$ \sf \downarrow$}}[/tex]

           [tex]\large {\text {$\sf {\bf x_1} = \cfrac{-0+4}{2\left(-4\right)}= \cfrac{-1}{2} $}}[/tex]                        [tex]\large {\text {$\sf {\bf x_2 }=\cfrac{-0-4}{2\left(-4\right)} = \cfrac{1}{2} $}}[/tex]

[tex]\large {\boxed {\boxed { \bf x_1 + x_2= -\cfrac{1}{2}+ \cfrac{1}{2} = 0} }}[/tex]

                                           [tex]\huge {\text {$ \it Alternative \: A $}}[/tex]

Answer:

[tex]P(x = 3) = 0.048[/tex]

Step-by-step explanation:

Given

[tex]n = 10[/tex]

[tex]p=59\% = 0.59[/tex]

Required

[tex]P(x = 3)[/tex] --- probability that 3 are afflicted

This question illustrates binomial probability and it is calcuated using:

[tex]P(x) = ^nC_x * p^x * (1 - p)^{n-x}[/tex]

So, we have:

[tex]P(x = 3) = ^{10}C_3 * 0.59^3 * (1 - 0.59)^{10-3}[/tex]

[tex]P(x = 3) = ^{10}C_3 * 0.59^3 * 0.41^7[/tex]

[tex]P(x = 3) = 120 * 0.59^3 * 0.41^7[/tex]

[tex]P(x = 3) = 0.048[/tex]

Answer:

I'm sorry but no idea

Step-by-step explanation:

No idea

Answer:

65.76 m

Step-by-step explanation:

This figure is split into three shapes: a right triangle, a rectangle, and a semi- circle. To find the area of the figure you can start by figuring out the area of each of the three shapes mentioned above, then adding their areas together. I'll write the numbers without the unit to make it simpler since it won't cancel out or anything.

Starting with the triangle:

1/2(b*h)=a

We see the base is 3, and the height is 5 (because the two opposite sides of a rectangle will be congruent) so if you plug the numbers into the formula you get:

1/2*15=a or 15/2=a

a=7.5

Then we calculate the area of the rectangle:

l*w=a

5*6=a

30=a

Then the area of the semi circle:

First we find the area as if it were a full circle by the equation using 3.14 as pi and 3 as r (since the denominator is 6 and half of 6 is 3):

3.14*r^2=a

3.14*3^2=a

3.14*9=a

28.26=a

Finally, we add all three areas from above:

7.5+30 + 28.26 = 65.76

Answer:

x^4+4x^3+6x^2+7x+2

Hello,

[tex]z=\dfrac{X-69}{3.5} \\\\For\ X=72.5, \\\\z=\dfrac{72.5-69}{3.5} =1\\[/tex]

Using table of a normal reduced law:

p(z≤1)=0.8413

Thus p(z≥1)=1-0.8413=0.1587

There are 80*0.1587=12.696 ≈13 (frogs)

Answer:

12 frogs

Step-by-step explanation:

Hello,

Using table of a normal reduced law:

p(z≤1)=0.8413

Thus p(z≥1)=1-0.8413=0.1587

There are 80*0.1587=12.696 ≈12 (frogs) you don't round up because you cant have .7 percent of a frog.

ps. I copy and pasted caylus's response but corrected their answer because it was correct except the rounding up part.

Answer:

[tex]\$6[/tex]

Step-by-step explanation:

Given

See comment for complete question

Required

The difference in the cost of 600 text messages plan

Representing the given data as; Cost to Number of text messages, we have:

[tex]Dial\ Up = \$5 : 100[/tex]

and

[tex]Ring\ Ring= \$8 : 200[/tex]

Multiply the dial-up by 6 to get the cost of 600

[tex]Dial\ Up = \$5 *6 : 100 * 6[/tex]

[tex]Dial\ Up = \$30 : 600[/tex]

So, the cost of 600 text messages is $30 --- for dial-up

Multiply the Ring Ring by 3 to get the cost of 600

[tex]Ring\ Ring= \$8 *3: 200*3[/tex]

[tex]Ring\ Ring= \$24: 600[/tex]

So, the cost of 600 text messages is $24 --- for Ring Ring

The difference (d) is:

[tex]d = \$30 - \$24[/tex]

[tex]d = \$6[/tex]

Answer:

I am a piano so yeah I'm just typing to fill the character requirement

Step-by-step explanation:

get got

Answer:

1 hour

Step-by-step explanation:

hope it helps ....

Answer:

Q24=A

25=B

26=A

Step-by-step explanation:

Answer:

Traversable because it has exactly two odd nodes

Step-by-step explanation:

There is a rule that says it is traversable if it has exactly 2 odd nodes. The are other rule where it can be traversable is if has no odd nodes.

Also if we let the starting point be D and the ending point be B we can travel the network in such way that each edge is only traveled once which is the definition that the network is traversable.

So I will do this by starting at D, then travel to A using the outside edge, then travel to back to D using inside edge, then travel to C, then travel to B, then travel to A using outside edge, and then back to B from A using inside edge.

Answer:

G

Step-by-step explanation:

I did this on edge and it was right

Answer:

O  Point G

Step-by-step explanation:

A = -6

B = 8

To find the midpoint, calculate how much would it take for both points to have a value of zero.

-6 + ? = 0

-6 + 6 = 0

8 - ? = 0

8 - 8 = 0

so the midpoint will be about 7 (between 6 & 8)

Now which of the points best shows 7 units apart of AB

Answer: point G

Answer:

$11.76

Step-by-step explanation:

2.94×4=$11.76

Answer:

A) 0.019

B) 0.563

Step-by-step explanation:

a) We will use Poisson distribution formula to solve this;

The formula is given as;

P(X = x) = ((e^-λ) × (λˣ))/x!

Mean is 1. Thus;

λ = 1 aircraft/hour.

Thus, the probability that more than three aircrafts will arrive within an hour is written as; P(X > 3)

Thus;

P(X > 3) = 1 - P(X ≤ 3)

Thus;

1 - P(X ≤ 3) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3)]

Solving through online calculator, we have;

P(X > 3) = 1 - 0.98101

P(X > 3) = 0.01899

To 3 decimal places, we have; P(X > 3)= 0.019

b) Probability of one 1-hour interval not containing more than 3 arrivals is, let's first find;

P(X ≤ 3) = 1 - P(X > 3)

P(X ≤ 3) = 1 - 0.01899

P(X ≤ 3) = 0.98101

Since there are 30 one-hour intervals, then we have;

Probability that none of the thirty 1-hour intervals will contain more than 3 arrivals;

(P ≤ 3) = (0.98101)³⁰

(P ≤ 3) = 0.5626

Approximating to 3 decimal places, we have;

(P ≤ 3) = 0.563