solve the system below by substitution. write the solution as a coordinate pair.

5x - y = 19
y = 2x - 1

Step-by-step explanation:

the answer is in the above image

Answer:

39x -12y = (6n+2n)X+(4-n)y

6+2n=38

2n=38-6

2n=32

n=32÷2

n= 16

Answer:

The directional derivative of f at A in the direction of [tex]\vec{u}[/tex] AD is 7.

Step-by-step explanation:

Step 1:

Directional of a function f in direction of the unit vector [tex]\vec{u}=(a,b)[/tex] is denoted by [tex]D\vec{u}f(x,y)[/tex],

[tex]D\vec{u}f(x,y)=f_{x}\left ( x ,y\right ).a+f_{y}(x,y).b[/tex].

Now the given points are

[tex]A(8,9),B(10,9),C(8,10) and D(11,13)[/tex],

Step 2:

The vectors are given as

AB = (10-8, 9-9),the direction is

[tex]\vec{u}_{AB} = \frac{AB}{\left \| AB \right \|}=(1,0)[/tex]

AC=(8-8,10-9), the direction is

[tex]\vec{u}_{AC} = \frac{AC}{\left \| AC \right \|}=(0,1)[/tex]

AC=(11-8,13-9), the direction is

[tex]\vec{u}_{AD} = \frac{AD}{\left \| AD \right \|}=\left (\frac{3}{5},\frac{4}{5} \right )[/tex]

Step 3:

The given directional derivative of f at A [tex]\vec{u}_{AB}[/tex] is 9,

[tex]D\vec{u}_{AB}f=f_{x} \cdot 1 + f_{y}\cdot 0\\f_{x} =9[/tex]

The given directional derivative of f at A [tex]\vec{u}_{AC}[/tex] is 2,

[tex]D\vec{u}_{AB}f=f_{x} \cdot 0 + f_{y}\cdot 1\\f_{y} =2[/tex]

The given directional derivative of f at A [tex]\vec{u}_{AD}[/tex] is

[tex]D\vec{u}_{AD}f=f_{x} \cdot \frac{3}{5} + f_{y}\cdot \frac{4}{5}[/tex]

[tex]D\vec{u}_{AD}f=9 \cdot \frac{3}{5} + 2\cdot \frac{4}{5}[/tex]

[tex]D\vec{u}_{AD}f= \frac{27+8}{5} =7[/tex]

The directional derivative of f at A in the direction of  [tex]\vec{u}_{AD}[/tex] is  7.

Answer:

one solution: (2.5, 0)

Step-by-step explanation:

We are given the following system of equations:

y = 2x - 5

-8x - 4y = -20

Replacing the first equation into the second:

[tex]-8x - 4(2x - 5) = -20[/tex]

[tex]-8x -8x + 20 = -20[/tex]

[tex]-16x = -40[/tex]

[tex]16x = 40[/tex]

[tex]x = \frac{40}{16}[/tex]

[tex]x = 2.5[/tex]

y

[tex]y = 2x - 5 = 2(2.5) - 5 = 5 - 5 = 0[/tex]

Thus the system has one solution: (2.5,0).

Answer:

3,090 diamonds

Step-by-step explanation:

To get 10 shards, you need to spend 30 diamonds.

First thing we need to find, how many rounds you need to play to get 1,024 shards if in each round you win 10 shards?

1,024/10 = 102,4

But you can not play 102.4 rounds, you only can play whole numbers, so we need to round it to the next whole number (not the previous one, because in that case, we would get less than 1,024 shards)

Then you need to play 103 rounds.

And each round costs 30 diamonds, then the total number of diamonds that you need is:

103*30 diamonds = 3,090 diamonds

Answer:

6

Step-by-step explanation:

6^2/(2m)

Let m = 3

6^2/(2*3)

6^2 / 6

36/6

6

Answer:

6

Step-by-step explanation:

(6)² / 2m

36 / 2 × (3 ) ( given :- m = 3)

36 / 6

6

Answer:

Step-by-step explanation:

The letter c

Answer:

80

Step-by-step explanation:

S4 = 2(3°+3¹+3²+3³)

= 2(1+3+9+27)

= 2(40)

= 80

Answer:

Step-by-step explanation:

Given RT bisects QTS, so

3x+9 = 5x-3

9+3 = 5x-3x

2x = 12

x = 6

Check:

3(6) + 9 = 27

5(6)-3 = 27

checks

Answer:

$656.25

p=35000

t=5

r=2.5

interest=ptr/100

=35000x5x2.5/100

=4375

amount=p+i

=35000+4375

=39375

now,

5 yr= 5x12months = 60 months

$39375/60=$656.25

i think so...

Answer:

f(3)=2 (from the right table). g(f(3))=g(2)=-3.

Step-by-step explanation:

lemme get Brainliest please

Answer:

See Below.

Step-by-step explanation:

We want to prove that the expression:

[tex](125^2+25^2)(5^2-1)[/tex]

Is divisible by three.

We can simplify the second factor:

[tex]=(125^2+25^2)(25-1)\\\\ = (125^2+25^2)(24) \\\\ = (125^2+25^2)(8\cdot 3)[/tex]

Since the second factor is being multiplied by three, we can conclude that the entire expression is divisible by three.

Answer:

It is divisible by 3.

Step-by-step explanation:

(125² + 25²)(5² - 1) ÷ 3

(15625 + 625)(25 - 1) ÷ 3

(16250)(24) ÷ 3

390000 ÷ 3

130000

Answer:

so for this we do

39.42*1.08=42.5736

Hope This Helps!!!

Answer:

There are 31 perfect squares between 1 and 1000

Hope it helps❤️

Answer:

0.13347022587

Step-by-step explanation:

Answer:

7 R 32

Step-by-step explanation:

   0 0 7

6 5 4 8 7

 − 0    

   4 8  

 −   0  

   4 8 7

 − 4 5 5

     3 2

Answer:

Answer:

☆ y=kx

Example: if we have x= 3 and y= 15

Find y?

y= kx

*We know that y= 15 and x= 3

So,

15=k(3)

15=3k

*divide 3 from both sides

K=5

y=5x

y=5(5)=25

☆▪☆▪☆▪☆▪☆

Hope it helps..

Have a great day!!

Answer:

10 hours

Step-by-step explanation:

86.50-60=26.50

5.30/2=2.65

2.65*10=25.50

so 10 hours of work to buy the bicycle

Answer:

The first graph.

Step-by-step explanation:

The equation is x is greater than 2. Therefore, the graph needs to shade anything greater than 2, but not 2.

Answer:

160000

Step-by-step explanation:

Let ratio be 3x,5x,4x

Sum of ratios 3x+5x+4x=12x

Share of Kofi:-

(3/12)x480000=120000

Share of Kojo:-

(5/12)x480000=200000

Share of Ama:-

(4/12)x480000=160000

Answer:

Ok, so im not 100% sure about this answer but i think its D:

Step-by-step explanation:

I think this is correct because i used desmos  and had plotted those answer and the only one that looks close enough to this answer was D.

I'll also put up the pictures so you can see what i mean.

I hope this help.

Answer:

x^2 - 4

Step-by-step explanation:

since it is in the form of

a^2 - b^2 = (a + b)(a - b)

u can directly write x^2 - 2^2

=x^2 - 4

process :

(x + 2)(x - 2)

=x(x - 2) + 2(x - 2)

=x^2 - 2x + 2x - 4

=-2x and plus 2x gets cancel

=x^2 - 4

Answer:

option C

Step-by-step explanation:

Given :

[tex]f(x) = 3x \\\\g(x) = 3x^2\\\\h(x) = 2^x[/tex]

We will just put values for x and check the function :

Let x = 1

f(x) = 3

g(x) = 3

h(x) = 2

Let x = 10,

f(x) = 30

g(x) = 300

h(x) = 1024

Let x = 100

f(x) = 300

g(x) = 30000

h(x) = [tex]1.27 \times 10^{30}[/tex]

Clearly , as x increases value of h(x) exceeds the value of f(x) and g(x).

Answer:

.y= 140 + 15x

Happy to help :)

Answer:

A≈38.48cm²

Step-by-step explanation:

Answer:

38.48 cm²

Step-by-step explanation:

Area of a circle goes by the formula πr²

Substitute in the value of r;

area = π(3.5)²

= 38.48451 cm²

~ 38.48 cm² (2 d.p.)

Answer:

f(x) = 4*e^(0.05*x)

Step-by-step explanation:

We want to find the equation for the graph.

The first thing we can see, is that, as the value of x increases, also does the value of y.

So f(x) increases as x increases.

Then we can discard the options with negative exponents, as those decrease when x increases.

Then the remaining options are:

f(x) = 4*e^(0.05*x)

f(x) = 4*e^(0.5*x)

In the graph, we can see that:

f(5) ≈ 5

So let's check that with the two remaining options:

For the first one we have:

f(5) = 4*e^(0.05*5) = 5.13

While for the second option we have:

f(5) = 4*e^(0.5*5) = 48.73

Then the correct option is the first one:

f(x) = 4*e^(0.05*x)

Answer:

1/4

Step-by-step explanation:

1) Find two points of the line

(4,2)  and (8,3)

Gradient = (y2 - y1)/(x2-x1)

(3-2)/(8-4) = 1/4

78.4 ÷ 0.56 = 140

I just used an online calculator like you could do. But, here you go.

Answer:

1,936 square units

Step-by-step explanation:

From the question, we have it that the original image was dilated by a factor of 1/4

what this mean is that the original image was reduced by up to a quarter size to get this new image

Now, to get the original image, we have to enlarge by a factor of 4

So, we simply have to multiply the side length of the new square by 4

We have that as;

11 * 4 = 44 units

Mathematically, the area of a square is the square of its side length

So, we have the area of the square as;

44 * 44 = 1,936 square units