3. Consider the straight line x + y = 1 and the family of straight lines that pass
through the origin given by y = mx. As m changes the line rotates about the
origin. Solve these two systems of linear equation and find their points of inter-
section. Is there always a solution - If yes, briefly explain why. If not - for what
a
values of m is there no solution.

Answer:

[tex]\frac{y^2x^3*12}{10}[/tex]

Step-by-step explanation:

Answer:

(A) 33.9 (B) 22.6

Step-by-step explanation:

We first need to round to the nearest dollar for both prices. Lets examine both numbers.

$30.12       $19.93

We can round $30.12 to $30 since the number in the tenths place is 1 and we can round $19.93 to $20 since there is a nine in the tenths place.

Now we must find the tax for each number. We can do that by multiplying each number by 0.13 since that is 13% in decimal form. Lets do that now

[tex]30*0.13=3.9[/tex]           [tex]20*0.13=2.6[/tex]

Now we can find the final price for each number by adding the tax to the rounded price.

[tex]30+3.9=33.9[/tex]          [tex]20+2.6=22.6[/tex]

Hence, (A) 33.9, (B) 22.6

Answer:

125 and 0.292

Step-by-step explanation:

Think about it as a system of equations:

1)

[tex]a+b=125 +1/3\\a=125.33-b\\\\2) ab=36+1/2\\[/tex]

at this point you can insert the equation you got from 1.

[tex](125.33-b)b=36.5\\125.33b-b^2=36.5\\b^2-125.33b+36.5=0[/tex]

with this form, you can use the quadratic equation to find your two possible answers.

following the quadratic equation we find that our answers are 125 and 0.292

Answer:

Hope it help

Step-by-step explanation:

.......................................

Answer:

ОА

The system has two solutions, and both are viable because they result in positive side lengths.

Step-by-step explanation:

wait I accidentally sent the wrong thing sorry

Answer:

a

Step-by-step explanation:

[tex]y\leq\frac{1}{2}x+2 \\\\1\leq \frac{1}{2}(0)+2\\\\1\leq 0+2\\\\1\leq 2[/tex]

This statement is true

Hope this helps!

The linear inequality represented by the graph is y ≤ 1/2x + 2

From the graph, we have the following highlights:

Next, we calculate the slope (m) using:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

Using the points on the graph, we have:

[tex]m = \frac{4 -2}{4 -0}[/tex]

Evaluate

m = 1/2

The first highlight implies that the y-intercept is 2.

So, the linear inequality is:

y ≤ mx + c

This gives

y ≤ 1/2x + 2

Hence, the linear inequality represented by the graph is y ≤ 1/2x + 2

Read more about linear inequality at:

https://brainly.com/question/18881247

#SPJ5

Answer:

The distance between them can be found by counting from -3 to 7.

Step-by-step explanation:

got 100 on my assignment

The fraction that represents the addition model shown above will be 53/100.

From the information given, a grid with 10 equal columns is shown with 5 shaded in. This will be expressed as 5/10.

Also, a second grid is shown, identical in size, containing 100 squares with 3 shaded in. This will be expressed as 3/100.

Therefore, the problem that represents the addition model shown above will be:

= 5/10 + 3/100

= 50/100 + 3/100

= 53/100

In this case, the answer given by Emma is incorrect as he added 5 to 3 and got 8/100.

Learn more about fractions on:

https://brainly.com/question/78672

Answer:

B

JUST TOOK THE UNIT TEST REVIEW

Learn more about the probability here;

brainly.com/question/24756209

Answer:

depends on how many other colours are there as well let's say there are N no. of colours then the probability is 100/N

Answer:

V =226.98

Step-by-step explanation:

V=π[tex]r^{2}[/tex]h

=π =4.252·4

≈226.9800

The perimeter and the area of the shape are 63 square yards and 46 yards, respectively.

The area of a triangle is equal to one half the product of its base and height. In the image, the base of the triangle is 18 yards and the height is 7 yards. Therefore, the area of the triangle is:

area = (1/2) * base * height

= (1/2) * 18 * 7

= 63 square yards

The perimeter of the shape is the sum of the lengths of all of its sides. In the image, the lengths of the sides are 6 yards, 18 yards, 7 yards, and 15 yards.

Therefore, the perimeter of the shape is:

perimeter = 6 + 18 + 7 + 15

= 46 yards

Learn more about area of a triangle at:

https://brainly.com/question/21735282

#SPJ2

Answer:

0.027

Step-by-step explanation

If s = 0.3, and s is being cubed, that's the same as 0.3 cubed

Cubed just means to the third power.

So that mean o.3 cubed is the same as (0.3)(0.3)(0.3)

Therefore, the answer is 0.027

Answer:

The answer is 1
- One is the most frequent digit used for writing numbers between 1-1000
- its because 1 has 1 in it and 1000 also has one in it so it can't be other numbers from 1-9
- It can't be zero as zero is not repeated as much as 1
- so the answer is 1

Answer: x(0.035)+w

Step-by-step explanation:

to find out the percent she gets from sales you multiply that by the percent she earns then add it to the 2400 which she already makes

[tex]f(1) = 3^x-3 = 3^1-3=3-3=0[/tex]

To solve f(1), we simply plug 1 into all the x's position

             --> the exponent of 3 in this case

Answer: 3.

Step-by-step explanation: NA/Student did not ask ; answer given only.

Answer:

X = 20

Step-by-step explanation:

If the 100 is on the right side, and they are the same length, that means that  you have to find 5 x what = 100. So 5 x 20 = 100

Have an amazing day. Please consider Brainliest! Have an amazing day or night!!

Answer: 6        

Step-by-step explanation:

Answer:

3x2

Step-by-step explanation:

Matrix P has 3 rows and 2 columns.

Therefore, P has dimensions 3 × 2.

Answer:

4.5 I hope I was not to late

Answer:

Andrew is 30 years old. Hunter is 65 years old.

Step-by-step explanation:

we can set up 2 equations:

h = 35 + a

h+5 = 2(a+5)

Solve for h in the second equation.

h + 5 = 2a + 10; h = 2a + 5

now set the 2 equations = to each other

2a + 5 = 35 + a

solve for a by combining like terms

a + 5 = 35

a = 30

so Andrew is 30 and Hunter is 35 + 30 = 65.

Sp in 5 years Andrew is 35 and Hunter is 70 (twice A's age)

Answer:

So that means that

h=35+a+5

because he already is 35

we add Andrew's Age

And we add 5 for 5 extra years

Therefore,

35+5=40.

40+a = 2a+10

Substract the a

40 = a+10

Subtract 10

30 = a

If Andrew's age is 30, going back to our first equation,

Hunter's Age = 65

Andrew's Age = 30

Hope it helped!

Answer:

surface area of cuboid = 190 in²

surface area of triangular prism = 1240 yd²

surface area of cone = 791.28 ft²

Step-by-step explanation:

cuboid formula = 2( l x b + l x h + h x b )

solution:

S.A = 2(l x b + l x h + h x b)

S.A = 2(5 x 3 + 5 x 10 + 10 x 3)

S.A = 2(15 + 50 + 30)

S.A = 2( 95 )

S.A = 190 in²

triangular prism formula = 2(1/2 (b x h)) + 2(l x b) + l x b(this formula can only be used for this type of triangular prism)

solution:

S.A = 2(1/2 (b x h)) + 2(l x b) + l x b

S.A = 2(1/2 (15 x 16)) + 2(17 x 20) + 20 x 16

S.A = 240 + 680 + 320

S.A = 1240 yd²

cone formula = [tex]\pi[/tex]r(l + r) or [tex]\pi[/tex]rl + [tex]\pi[/tex]r²

solution:

S.A = [tex]\pi[/tex]r[l+r]

S.A = 3.14(9)[19 + 9]

S.A = 28.26 x 28

S.A = 791.28 ft²

PLEASE MARK AS BRAINLIST!!!

Answer:

answer is 2400

Step-by-step explanation:

6/100×40'000=2400

Answer:

Given,

Dimensions of rectangular prism

Length= 10in

Breadth=2in

height= 3(1/2) or 7/2

Dimension of cube = 1/2in

Let the number of cubes be x

A.T.Q(According to question)

Vol. of rectangular prism= Vol. of Square× Number of cubes

l×b×h = a³

= > 10×2×7/2 = (1/2)³× x

x = 560

So the number of cubes required to fill the prism is. 560

Answer:

tan 40  =ac

1              100    AC=100*tan40=83.91feet

Step-by-step explanation:

there you go enjoy lol

[tex]\\ \rm\rightarrowtail cot40=\dfrac{Base}{Perpendicular}[/tex]

[tex]\\ \rm\rightarrowtail cot40=\dfrac{BC}{AC}[/tex]

[tex]\\ \rm\rightarrowtail AC=\dfrac{BC}{cot40}[/tex]

[tex]\\ \rm\rightarrowtail AC=\dfrac{100}{1.192}[/tex]

[tex]\\ \rm\rightarrowtail AC=83.89ft[/tex]

Answer: 60%.

Step-by-step explanation: As you can see, there are one hundred squares on the grid.  If you go by tens with the shaded part, you get 6 tens shaded, or 60 squares total.  60 is also equivalent to 60%, which is your answer.

Let me know if this is right! :)

Answer:

1.57 square feet

Step-by-step explanation:

Given :-

Radius =  2 feet

θ = 45°

Formula to be used :-

Area (sector) = πr² x θ / 360°

Inputting the values :-

= 3.14 x (2)² x 45/360

= 3.14 x 4 x 1/8

= 3.14 x 1/2

= 1.57 square feet