What is true about the solution(s) to this system of linear equations?

On a coordinate plane, the same line has equation y = one-fourth (x minus 4) and y = one-fourth x minus 1).


The solution is (4,0).


There is no solution.


The solution is (0,−1).


There are infinitely many solutions.

Answer:

x^2 + 9x + 30 = 0

Step-by-step explanation:

Given: f(x) = x² – 10x + 24

g(x) = x – 6

f(- x) = g(x) :

(-x)² - 10(- x) + 24 = x - 6

x² + 10x + 24 - x + 6 = 0

Result: x² + 9x + 30 = 0

Answer:

Y = (x - 11/2)^2 -1/4

Step-by-step explanation:

subtract g(x) to f(x)

f (x) - g (x) = x^2 -10x +24 -x + 6

f (x) - g (x) = x^2 -11x +30

Let's call Y

Y = x^2 -11x +30

The standard form is by definition as Y = a (x-b)^2 + h

In this specific case:

Y = (x - 11/2)^2 -121/4 + 30

Y = (x - 11/2)^2 -1/4

Answer:

2 units!

Step-by-step explanation:

Answer: 2 units

The exact values are;sin -7π/6 = 0.5; cos -7π/6 = -√3/2; tan -7π/6 = -1/√3; sec -7π/6 = -2/√3; csc -7π/6 =2; cot -7π/6 = -√3

We want to find the six trigonometric functions for  -7π/6 radians.

It should be noted that;

7π/6 radians = -210° degree = -210 +360 = 150° = 5π/6

From the definition of unit circle and applying to what we have here, we can express them as;

sin -7π/6 = 0.5

cos -7π/6 = -√3/2

tan -7π/6 = -1/√3

sec -7π/6 = -2/√3

csc -7π/6 =2

cot -7π/6 = -√3

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Answer: z _> -10

Step-by-step explanation:

Answer:

~Senpi boi here~

Step-by-step explanation:

Multiply all terms by x and cancel:

x+2x+1=1x

3x+1=x(Simplify both sides of the equation)

3x+1−x=x−x(Subtract x from both sides)

2x+1=0

2x+1−1=0−1(Subtract 1 from both sides)

2x=−1

2x

2

=

−1

2

(Divide both sides by 2)

x=

−1

2

Check answers. (Plug them in to make sure they work.)

x=

−1

2

(Works in original equation)

Answer:

x= −1/2

(Hope this helps!)

Answer:

See below ~

Step-by-step explanation:

(a)

(b)

Answer:

A = 8

B = -4

Step-by-step explanation:

Answer:

the width is 1.5meters

Step-by-step explanation:

the perimeter of the fence is 120m

the perimeter= 3w+w+3w+w

120= 3w+w+3w+w

120= 8w

w=1.5m

Answer:

15m

Step-by-step explanation:

Well, she needs 120 meters, which means we already know the circumference (P). P is the sum of all sides.

The lenght (a) is 3 times the width(b).

a = 3b.

Which means if a is x then b is equal to 3x

Since P is the sum of all sides, P is equal to 2a + 2b or 2x + 2*3x = 2x + 6x = 8x

120 = 8x. We are now left with an equation that has one variable only, all we need to do is to divide 120 by 8 to find what x is equal to.

8x = 120

x = 120 / 8

x = 15

We know that width(a) is equal to x, so that's the answer.

Here's a solution you can write:

P = 120m

w = x

l = 3w = 3x

P = 2w + 2l

P = 2*x + 2*3x

P = 2x + 6x

P = 8x

8x = 120

x = 120 / 8

x = 15

w = x -> w = 15m

Answer:

it's d

Step-by-step explanation:

because you first do 3*4 =12 twice because there are two sides, and do 10*3 twice, and 10*4 twice, and add it all up.

so,

24+60+80=164

answer is d.

Answer:

Option D, [tex]164\ units^2[/tex]

Step-by-step explanation:

Step 1:  Determine the area of the front and back

[tex]A = l * w[/tex]

[tex]A = 10\ units * 4\ units[/tex]

[tex]A = 40\ units^2[/tex]

Step 2:  Determine the area of the sides

[tex]A = l * w[/tex]

[tex]A = 3\ units * 4\ units[/tex]

[tex]A = 12\ units^2[/tex]

Step 3:  Determine the area of the top and bottom

[tex]A = l * w[/tex]

[tex]A = 10\ units * 3\ units[/tex]

[tex]A = 30\ units^2[/tex]

Step 4:  Determine the total surface area

[tex]SA = 2(40\ units^2) + 2( 12\ units^2) + 2(30\ units^2)[/tex]

[tex]SA = 80\ units^2 + 24\ units^2 + 60\ units^2[/tex]

[tex]SA = 164\ units^2[/tex]

Answer:  Option D, [tex]164\ units^2[/tex]

Answer:

x=4

Step-by-step explanation:

7x+ 19 = -2X + 55

+2x         +2x

9x+19=55

     -19  -19

9x=36

x=4

Answer:

x=4

Step-by-step explanation:

[tex]\hookrightarrow 7x+ 19 = -2x + 55\\\\\hookrightarrow 7x+2x=55-19\\\\\hookrightarrow 9x=36\\\\\hookrightarrow x=36/9\\\\\hookrightarrow x=4[/tex]

Step-by-step explanation:

How to solve your problem

(x+5)=x

Solve

1

Subtract

5

from both sides

x+5=x

x+5

2

Simplify

Subtract the numbers

x=x-5

3

Subtract

x

from both sides

x=x-5

Simplify

Combine like terms

Combine like terms

0=-5

Result

0=-5

The input is a contradiction: it has no solutions

Answer:

x=x-5 or 0=-5

Step-by-step explanation:

subtract 5 from both sides

Answer:

The Volume is 216

Step-by-step explanation:

When finding volume you do base times height. Since depth is like height, you mulitply them and get 216.

Answer:

the answerr is 4

Step-by-step explanation:

please mark me the brainiest

Answer:

106.25

Step-by-step explanation:

99.5+113= 212.5 /2 = 106.25

Answer:

1.15

2.1

3.3

45

5.3

6.8

7.4

8.5

9. 24

Step-by-step explanation:

Answer:

1. 15

2. 1

3. 3

4.  2.5

5. 3

6. 8

7. 4

8. 5

9. 24

10. 6

11. 3

12. 52

13. 44

14. 38

15. 24

16. 12

17. 2

18. 12

Step-by-step explanation:

All are technically squares, but if you are referring to just squares, then C and D are squares.

Answer: 32 m^2

Step-by-step explanation:

first set up your equation; A=A rectange - 2(A square). The you plug in your numbers A = 40-2(4). The you do 40-8 = 32

after 21 days, the answer is 26
hope this helps

Answer:

(-8,-10)

Step-by-step explanation:

Rewrite (x+8)2(x+8)² as (x+8)(x+8).

f(x)=3((x+8)(x+8))−10

Expand (x+8) (x+8) using the FOIL Method.

Apply the distributive property.

f(x)=3(x(x+8)+8(x+8))−10

Apply the distributive property.

f(x)=3(x⋅x+x⋅8+8(x+8))−10
Apply the distributive property.

Simplify and combine like terms.

Simplify each term.

Multiply x by x.

f(x)=3(x2+x⋅8+8x+8⋅8)−10

Move 8 to the left of x.

f(x)=3(x2+8⋅x+8x+8⋅8)−10

Multiply 8 by 8.

f(x)=3(x2+8x+8x+64)−10

Add 8x and 8x.

f(x)=3(x2+16x+64)−10

Apply the distributive property.

f(x)=3x2+3(16x)+3⋅64−10

Simplify.

Multiply 16 by 3.

f(x)=3x2+48x+3⋅64−10

Multiply 3 by 64.

f(x)=3x2+48x+192−10

Subtract 10 from 192.

f(x)=3x2+48x+182

The minimum of a quadratic function occurs at x=[tex]-\frac{b}{2a}[/tex] If a is positive, the minimum value of the function is f ([tex]-\frac{b}{2a}[/tex]).

Substitute in the values of aa and b.

x=−[tex]\frac{48}{2(3)}[/tex]

x=-8

Replace the variable x with −8 in the expression.

f(−8)=3(−8)2+48(−8)+182

Y=-10

Therefore, the minimum value is (-8,-10) but if it is asking for just the y-value it would be -10.

Answer:

6 days

Step-by-step explanation:

1/T1 + 1/T2 = 1/TotalTime

Builder one is 1/15

Builder two is 1/10.

Answer:

about 6 hours

Step-by-step explanation:

[tex]8( {7}^{x} ) = 2( {10}^{6} )[/tex]

[tex] {7}^{x} = 250000[/tex]

[tex]x = \frac{ ln(250000) }{ ln(7) } = 6.39[/tex]

The about 6 hours the bacteria population to reach 2 million.

An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable.

Given that the experiment requires the population of the bacteria to reach 2 million before the experiment can begin.

The reproduction rate of the bacteria can be modeled by the exponential equation,

y = 8 × 7ˣ.

So, according to the question,

8 × 7ˣ = 2 × 10⁶

7ˣ = 250000

x ≈ 6.4

Hence the about 6 hours the bacteria population to reach 2 million.

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Answer:

B

Step-by-step explanation:

sorry if im wrong

Answer:

x = 5

Step-by-step explanation:

Step-by-step explanation:

AB and CD is not parallel because co-interior sum is 180 and another reason is that parallel sign isn't given.

Answer:

Given:

A set of functions,

A. y = -(x-4)^2  

B. y=3(x- 4)^2

C. y = [x] + 4

D. y = -5x + 4.  

To Find:

The function whose range is (-infinity, 4].

Solution:

1. The function y = -(x-4)^2 has a minimum value of 0 and it is an increasing function. Hence the maximum value tends towards infinite. Hence the range is [0, infinite).

2. The function y = 3(x-4)^2 has a minimum value of 0 and it is an increasing function. Hence the maximum value tends towards infinite. Hence the range is [0, infinite).

3. y = [x] + 4 (where [x] = greatest integer function). This function is an increasing function with a minimum value towards negative infinity and the maximum value tends towards the positive side of infinity.  

=> Range of y = [x]  + 4 is (-infinite, infinite).

4. y = -5x+4 is a continuous increasing function without any exceptions.  

=> Range of y = -5x+4 is (-infinite,infinite)

Therefore, none of the functions has their range from (-infinity,4].

Step-by-step explanation: