Solve the following system of equations graphically on the set of axes below. Y=-x+1 Y=1/4x+6

Answer:

The value of [tex]a[/tex] is 6.

Step-by-step explanation:

Let the line be represented by [tex]3\cdot y = a\cdot x + 6[/tex], where [tex]x[/tex], [tex]y[/tex] are the independent and dependent variable, respectively. The explicit form of the formula is:

[tex]y = \frac{a}{3}\cdot x +2[/tex] (1)

To know the value of [tex]a[/tex], ,we need the values of [tex]x[/tex] and [tex]y[/tex] and solve the resulting expression: [tex](x,y) = (-3,-4)[/tex]

[tex]-4 = \frac{a}{3} \cdot (-3)+2[/tex]

[tex]-4 = -a + 2[/tex]

[tex]a = 6[/tex]

The value of [tex]a[/tex] is 6.

Answer:

$67.11

Step-by-step explanation:

3.25/100=0.0325

65*0.0325=2.1125=2.11

65+2.11=67.11

Answer:

-2

Step-by-step explanation:

3(-3)^2+5(-3)-14

27-15-14=-2

Answer:

Follows are the solution to the given points:

Step-by-step explanation:

The brand (M) will become more reliable as the standard deviation of an (M) brand will be much lower than the standard deviation of (G) brand.

such as four years,

Calculating the z score for G brand[tex]= \frac{(4-3)}{1} = \frac{1}{1} = 1[/tex]

Calculating the z score for M brand[tex]= \frac{(4-3)}{(\frac{1}{3})} = \frac{(1)}{(\frac{1}{3})} = 1 \times \frac{3}{1}= 3.[/tex]

Because the z mark of the (G) brand is less, it is much more probable that the (G) Brand could last four years. It is because the variability of the (G) brand is very high, which allows lasting longer by expanding its expansion.

Answer: 360g

120 --> 10

  x   ---> 30

120*30=10*x

3600= 10*x

x= 3600/10

x= 360

Matthew needs 360g of flour

Answer:

360g flour

Step-by-step explanation:

10 pancakes need 120g of flour.

30 pancakes need x g of flour.

To find x, you first find the ratio between the pancakes and flour.

120g flour / 10 pancakes = 12 g flour needed per pancake

So if you have 30 pancakes,

12g of flour is needed per pancake * 30 pancakes

= 360g of flour is needed for 30 pancakes

Answer:

24 ft²

Step-by-step explanation:

AC = 10-(3+3)= 4

AB = 12- (3+3) = 6

AB×AC = 6×4 = 24 ft²

Answer:

I think the answer is D.

Step-by-step explanation:

Have a good day.

9514 1404 393

Answer:

  119 4/7

Step-by-step explanation:

The perimeter is the sum of side lengths.

  10 1/7 + 12 2/7 + 15 3/14 + 24 1/14 + 12 2/7 + 10 1/7 + 35 3/7

  = (10 + 12 + 15 + 24 + 12 + 10 + 35) + (1 + 2 + 2 + 1 + 3)/7 + (3 + 1)/14

  = 118 + 9/7 + 4/14

  = 118 + 1 2/7 + 2/7

  = 119 4/7 . . . . perimeter of the figure

Answer:

x = 9

Step-by-step explanation:

Move all terms containing x to the left, all other terms to the right.

Add '-9' to each side of the equation.

9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0

0 + -1x = 0 + -9

-1x = 0 + -9

Combine like terms: 0 + -9 = -9

-1x = -9

Divide each side by '-1'.

x = 9

Answer:

lines are straight, rays have one point and then a never ending arrow, line segments have 2 ends. i hope this helps.

Step-by-step explanation:

I took math and it will help you too

Answer:

The question is lacking the accompanying line plot, I found a matching line plot online:

Answers:

a) The number of minutes te greatest number of students took to do their homework = 40 minutes

b) The number of combined hours the students spent on their homework [tex]= 5\frac{1}{3}\ hours[/tex]

Step-by-step explanation:

From the diagram, the greatest number of students ( 8 students) take 2/3 hours to do their homework. Converting this time to minutes:

1 hour = 60 minutes

∴ 2/3 hours = 60 × 2/3 = 120/3 = 40 minutes

∴ 40 minutes is the time the greatest number of students take to do their homework

b) combined hours those students did their homework is calculated as follows:

total time =  (number of hours used by 1 student) × number of students

[tex]Total\ time = \frac{2}{3} \times 8 = \frac{16}{3}\\= 5\frac{1}{3} \ hours[/tex]

Answer:

-8x+12

Step-by-step explanation:

the perimeter is equal to 2l+2w

so the perimeter would be 2(-5x+10)+2(x-4)

so we just have to use distributive property to simplify it

2x-5x=-10x 2x10=20 2xx=2x  2x-4=-8

now we have -10x+20+2x-8

the last step would be to combine like terms

-10x+2x=-8x

20-8=12

so the expression would be -8x+12

hope this helps :)

Answer:

interest earned: $105

balance of the account: $455

Step-by-step explanation:

Interest earned and The balance of the account are $105 and $455.

Given:

Amount invested = $350

Interest rate = 3% = 0.03

Number of year = 10 years

Find:

Computation:

simple interest earned = PRT

Interest earned = (350)(0.03)(10)

Interest earned = $105

The balance of the account = 105 + 350

The balance of the account = $455

Find out more information about 'simple interest'

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Answer: B. The product of P and S is always a rational number.

Step-by-step explanation: The product AND sum of two rational numbers will ALWAYS be rational.

Answer:

if the drawing length is 5 inches, the actual length in feet would be 12.5 ft

Step-by-step explanation:

2 inches = 5 ft

1 inch = 2.5 ft

5*2.5=12.5 ft as final answer.

hope it helps

Answer:

[tex] \sqrt{128} - \sqrt{72} = 2.82842712474619 \\ \\ 2.82842712474619 \div \sqrt{8 } = 1[/tex]

HOPE IT HELPS! :)

Answer:

[tex] \large \boxed{x = \frac{2}{3} }[/tex]

Step-by-step explanation:

Goal

Given

[tex] \large{16 - 4(x + 3) = 2x}[/tex]

Step 1

[tex]16 - 4x - 12 = 2x[/tex]

Step 2

[tex]16 - 12 = 2x + 4x[/tex]

Step 3

[tex]4 = 6x \\ \frac{4}{6} = x \\ \frac{2}{3} = x[/tex]

Step 4

[tex]16 - 4x - 12 = 2x[/tex]

Substitute x = 2/3 in the equation.

[tex]16 - 4( \frac{2}{3} ) - 12 = 2 (\frac{2}{3} ) \\ 4 -4( \frac{2}{3} ) = 2( \frac{2}{3} )[/tex]

Evaluate

[tex]4 - \frac{8}{3} = \frac{4}{3} [/tex]

Move -8/3 to add with 4/3.

[tex]4 = \frac{4}{3} + \frac{8}{3} \\ 4 = \frac{12}{3} \\ 4 = 4[/tex]

The equation is true for x = 2/3. Hence, the solution is x = 2/3.

Hope this helps! Any questions about the answer can be asked in comments.

~ Vectør ~

Step-by-step explanation:

pythagoras theorem dictates that for right triangles, a squared plus b squaredequals c squared.

7*7+x*x=14*14

49+x*x=196

x*x=147

square root of 147, I believe

Answer:

(x,y) => (x, -y)

Step-by-step explanation:

[tex]y = 7x + 3[/tex]

[tex] - y = 7x + 3[/tex]

[tex]y = - 7x - 3[/tex]

so

[tex]g(x) = - 7x - 3[/tex]

Hence, [tex]g(x) = - 7x - 3[/tex].

What is the function?

Functions are often defined by a formula that describes a combination of arithmetic operations and previously defined functions; such a formula allows computing the value of the function from the value of any element of the domain.

Here given that,

Let [tex]g(x)[/tex] be the reflection across the x-axis of the function [tex]f(x) = 7x + 3[/tex]. Identify the rule for [tex]g(x)[/tex].

So,

[tex]y = 7x + 3\\-y= 7x + 3\\y = - 7x - 3\\g(x)=- 7x - 3[/tex]

Hence, [tex]g(x) = - 7x - 3[/tex].

To know more about the function

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Answer:

Step-by-step explanation:

hello :

the ratios 2:1 and 18:9 are  equivalent because :

2/1 = (2×9)/(1×9)= 18/9

Yes , the ratios 2 : 1 and 18 : 9 are equivalent

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

Given data ,

Let the first proportion be A = 2 : 1

Let the second proportion be B = 18 : 9

Now , from the proportion formula

a: b::c : d = a/b = c/d

So , substituting the values in the equation , we get

2 : 1 :: 18 : 9

On simplifying the equation , we get

2 / 1 = 18 / 9

Now , the proportion is

2 = 2

Therefore , the equation satisfies and the ratios are equal

Hence , the ratios 2 : 1 and 18 : 9 are equivalent

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Answer:

dont trust me on this but i think it is 3/8

Step-by-step explanation:

Answer:

400%

Step-by-step explanation:

Original wieght = 12

New weight  = 60

Change = 60- 12= 48

Change percent =  change / original x 100 = 48 / 12 x 100 = 400 %

I hope its right!!!! :)

Answer: (a) 390 miles im not sure for b

Step-by-step explanation:

Answer:

I think it didnt change

Step-by-step explanation:

Cause both areas from the line are the same and if it were to change the left would be diffrent from the right. So there i think it didnt change.

hope this helps! GL!

Answer:

B po

Step-by-step explanation:

hope its help youwithmy answer

Answer:

Sean's error is that he just looked the number of times 1 occurred. The theoretical probability of rolling a 1 is found by dividing the number of desired outcomes by the total number of outcomes

Step-by-step explanation:

you have to study

Answer:

Sean's error is that he just looked the number of times 1 occurred. The theoretical probability of rolling a 1 is found by dividing the number of desired outcomes by the total number of outcomes

Step-by-step explanation:

Answer/Step-by-step explanation:

1. ∠XVR = 180 - <XVW (angle on a straight line)

∠XVR = 180 - 55°

∠XVR = 125°

2. ∠RVS = <XVW (Vertical angles are congruent)

∠RVS = 55°

3. ∠WVS = ∠XVR (vertical angles are congruent)

∠WVS = 125°

4. ∠RST = <R + <RVS (exterior angle theorem)

<RST = 55 + 55

<RST = 110°

5. ∠RSV = 180 - (<R + <RVS) (sum of triangle)

∠RSV = 180 - (55 + 55)

∠RSV = 70°

6. ∠VSU = <RST (vertical angles are congruent)

<VSU = 70°

7. ∠UST = <RSV (vertical angles)

<UST = 70°

8. ∠TUS = 180 - (<UST + <T) (sum of triangle)

<TUS = 180 - (70 + 71)

<TUS = 39°

Answer:

24.20 tax

369.98 total

Step-by-step explanation: