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Which of the a values are solutions to the following equation?
a² = 6.4
Choose all answers that apply:
()
B
U
(D)
a = -0.8
a=0.8
a = -3.2
a=3.2
None of the above

The values of m and b are 6 and 2 respectively and the value of m + b is 8.

It is given that the equation y = mx + b   ....(1) for the line parallel to the graph of  y = 6x + -2    ...(2) means that slope of the equation y = mx + b which is parallel to the graph y = 6x + -2  is same i. e on comparing equation (1) and (2) , we get m = 6

On the other hand , the equation y = mx + b has the same y- intercept as the graph of y = 36x + 2   .....(3)

On  comparing equation (1) and (3) , we get b = 2

Therefore , m + b = 6 + 2

                             = 8

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The possible answers for the restaurants are Three 8-hour shifts; four 6-hour shifts; six 4-hour shifts.

2. The seconds that they will blink together again is 45 seconds.

Here we have to determine the factors of 24 for the shifts i.e.  1, 2, 3, 4, 6, 8, 12, 24 .

A 1-hour shift does not make much sense; most employers will also not use a 2-hour or 3-hour shift.

Restaurants typically do not use 12-hour shifts either, and employers do not use 24-hour shifts either.

Since both signs blink as they are turned on and one blinks every 9 seconds. The other sign blinks every 15 seconds. The least common multiple is 45.

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Answer: 87.5%

hope this helps! :)

Answer:

A

Step-by-step explanation: i just did the test

Jasper had 362.25 in his account after two years, per the given statement.

The interest you earn upon interest is known as compound interest. This may be demonstrated with simple math: if you have $100 and that it earns 5% interest every year, you will have $105 at the end of the first year. You'll have $110.25 by the end of the second year.

Given:

Jaspar deposits £2,500

interest rate = 7

Time = 2 year

Compound interest is interest calculated on the aggregate amount rather than the principle amount alone.

Amount = P(1+r/100)^n

=2500(1+7/100)²

=2500(100+7/100)²

= 2500(107/100)²

= 2862.25

C.I.= Amount - Principal

= 2862.25-2500

= 362.25

According to the given statement jasper have 362.25 in his account after 2 years.

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Step (B) determining the shaded area for each line is not required when graphing this system of equations.

As it is given in the description itself, when solving this system of equations by graphing, it is not necessary to determine the shaded area for each line.

Therefore, step (B) determining the shaded area for each line is not necessary when solving this system of equations by graphing

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The correct question is given below:
Which step is not necessary when solving this system of equations by graphing?

3x-y-4

X+y=-4

O

Identify the point of intersection

(A) Choose a method to graph the equations.

(B) Determine the shaded area for each line.

(C) Write the solution as an ordered pair

Answer:

Ratio is a comparison between 2 numbers.

Hope this helps :)

Answer:
X-intercepts: -1 and 3

Y-intercepts: 3
Vertex: (1, 4)
Axis of Symmetry: y= -1x + 3x + 4 (I think this is right it might not be and im sorry if it isnt).

Step-by-step explanation: Hope this helps even a little bit <33

Triangle PQR has vertices P (3,8), Q (-5, 7), and R (0, 2) then the coordinates of the vertices of the image after a reflection in the y-axis will be:

P'' (-3,-8)

P' (3,8)

Q'' (-5,7)

Q'' (-5,-7)

R'' (2,0)

R'' (0,2).

A reflection around the axis and is given by the following rule:

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

Applying the rule to each vertices of the reflection y - axis we have:

A) P' (3,-8) ----> P'' (-3,-8)

B) P (-3,8)  ----> P' (3,8)

C) Q' (5,7)  ----> Q'' (-5,7)

D) Q' (5,-7)  ----> Q'' (-5,-7)

E) R¹ (-2,0) ----> R'' (2,0)

F) R¹ (0,2) ----> R'' (0,2)

Therefore,

Triangle PQR has vertices P (3,8), Q (-5, 7), and R (0, 2) then the coordinates of the vertices of the image after a reflection in the y-axis will be:

P'' (-3,-8)

P' (3,8)

Q'' (-5,7)

Q'' (-5,-7)

R'' (2,0)

R'' (0,2).

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In 15 years, the account will be worth $1896 if the 3.7% interest is compounded monthly on initial deposit of $1100.

It is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.

Given Data

A =  [tex]P(1+\frac{r}{100} )^{t}[/tex]

P=$1100

r =3.7%

t = 15years

Substitute the values in formula, A = [tex]P(1+\frac{r}{100} )^{t}[/tex]

A= 1100(1+{3.7/100})¹⁵

A = 1100(1+0.037)¹⁵

A = 1100(1.037)¹⁵

A= 1100(1.724)

A= 1896.4

Round off to nearest cent - $1896

Hence, $1896 will the account be worth in 15 years

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Answer:

-6

Step-by-step explanation:

y=6

-y=-6

The range of possible sizes for side x is 2.3 < x < 8.7.

Herein we have a triangle, of which two of its sides are known and we can now the set of all possible values by using the law of the cosine:

x² = 3.2² + 5.5² - 2 · 3.2 · 5.5 · cos θ

x = √(40.49 - 35.2 · cos θ)

The cosine is bounded between - 1 and 1, then the possible sizes for the side x are:

2.3 < x < 8.7

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Answer:

c

Step-by-step explanation:

131-69= 62

Step-by-step explanation:

mm/kyc-kbiy-rvk come.

Answer:

Step-by-step explanation: Gold will cost €2.06 per gram.

Answer:

9.16 × 10-6

Step-by-step explanation:

Answer:

Estimated answer = 3,000

Product/Answer = 3,648

Hope this helps :)

Explanation below.

Step-by-step explanation:

1. To estimate, firat round the two numbers, 608 and 6.

When rounding if the numbers are 1,2,3,4 round down and if the numbers are 5,6,7,8,9 round up. But in this case we are just estimating an answer so we can just round 6 to 5 and 608 to 600. However, if the directions say to round to a specific place value, then follow the directions.

608 rounded to 600

6 rounded to 5

2. Multiply.

600 × 5 = 3,000

3. Solve with exact given numbers.

608 × 6 = 3,648

16.5 is 30% of 55

1650/55 = 30

Answer:

7.25 feet/2 feet = 3.625 pieces so you can have 3 pieces of 2 feet each and 1 piece left over that is less than 2 feet.

Answer:19

Step-by-step explanation:

The range of a data set in statistics is the difference between the largest and the smallest values.

86-67=19

The number in standard notation is 143,000.

The number in scientific notation is 4.39 x 10^-4

Scientific notation is used to compress large numbers into smaller numbers. In order to write a number in scientific notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.

For example:

• The number : 1 x 10² is equivalent to 100

• The number 5 x 10³ is equivalent to 500

When changing a number that is less than 1 to scientific notation, there would be a negative sign before the power.

0.000439 = 4.39 x 10^-4

In order to convert a number from scientific notation to standard notation, multiply the number by its power.

1.43 x 10^5

= 1.43 x 100,000 = 143,000

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Answer:

A frequency table of grades has five classes A B C D F

Step-by-step explanation:

A frequency table of grades has five classes A B C D F

The vertices of the given ellipse are (-9, 2) and (-1, 2). Therefore, option D is the correct answer.

We need to find the vertices of the given ellipse.

The major axis of the ellipse cuts the ellipse into two distinct points called the vertices of the ellipse. The line perpendicular to the major axis of the ellipse is the minor axis, and it cuts the ellipse at two distinct points called the covertices of the ellipse. The midpoint of the vertices of the ellipse, or the covertices of an ellipse is the centre of the ellipse. The endpoints of the major axis are the vertices, and the endpoints of the minor axis are the covertices.

Equation of the ellipse = x²/a² + y²/b² = 1

Vertices of Ellipse: (a, 0), (-a, 0)

As we know, the endpoints of the major axis are the vertices.

From the given figure we can see that axis of the ellipse passes through the points (-1, 2) and (-9, 2).

The vertices of the given ellipse are (-9, 2) and (-1, 2). Therefore, option D is the correct answer.

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Accoding to the given statements;

Sasha have left 2480 mm of rope.

According to the given values;

Sasha has 520 cm of rope

She used 2m 72 mm of rope

So, 1 cm = 10mm

And 1m = 1000mm

So, 520 × 10 = 5200mm

2.72× 1000 = 2720mm

5200 - 2720 = 2480mm

Sasha have left 2480 mm of rope.

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Answer:

11 with a remainder of 26

Step-by-step explanation:

Answer:

The slope is 1/2

(0,1)

I hope this helped you!

Answer:

C. 5/10

Step-by-step explanation:

Using a calculator:

Divide each numerator by each denominator. The answer must be 0.5

A. 1/50 = 0.02

B. 1/5 = 0.2

C. 5/10 = 0.5

D. 5/9 = 0.555...

Answer: C. 5/10

Without a calculator.

0.5 as a fraction is 1/2. Notice the denominator, 2, is twice the numerator, 1.

The answer also must have a denominator that is twice the numerator.

A. 1/50      2 × 1 = 2, not 50

B. 1/5         2 × 1 = 2, not 5

C. 5/10      2 × 5 = 10; this is it.

D. 5/9       2 × 5 = 10, not 9

Answer: C. 5/10

Using the least common factor, it is found that she tests the parts once every 3 minutes.

To find the time that passes between the events happening at the same time, we need to find the least common multiple of the periods.

For this problem, the periods are of 12 seconds and 45 seconds. The least common factor is found factoring both terms by prime factors, as follows:

12 - 45|2

6 - 45|2

3 - 45|3

1 - 15|3

1 - 5|5

1

Hence:

lcf(12, 45) = 2² x 3² x 5 = 180 seconds = 3 minutes.

She tests the parts once every 3 minutes.

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Answer:4

Step-by-step explanation:

2 to the power of 3x-1 when x=1

Replace x with 1 for 3(1)-1=2

2 to the power of 2 is 2*2 which equals 4

Alternatively if the question means 2 to the power of 3x minus 1

Replace x with 1 for 3(1)=3

2 to the power of 3 is 2*2*2 which equals 8

8-1=7

Yes, Briggs will have enough to complete a job requiring 1900 bricks. Since he has 1910 bricks remaining and he needs only 1900 bricks to complete the work.

Given that On the basis of past experience, a contractor expects to find 4.5% Broken Brickson every truckload.

He orders 2000.

We need to see whether Briggs will have enough to complete a job requiring 1900 bricks.

Example:

- 20% of M

= 20/100 x M

= 1/5 x M

- 25% of M

= 25/100 x M

= 1/4 x M

Find 4.5% of 2000.

= 4.5% x 2000

= 4.5 / 100 x 2000

= 4.5 x 20

= 45 x 2

= 90

The remaining bricks are:

= 2000 - 90

=  1910

We see that Briggs will have enough to complete a job requiring 1900 bricks.

1910 > 1900.

Thus, Briggs will have enough to complete a job requiring 1900 bricks.

Since he has 1910 bricks remaining and he needs only 1900 bricks to complete the work.

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Answer: y=2x-14

Step-by-step explanation:

Solve for x

x/2+7 = y

x/2+7-7=y-7

x/2=y-7

2x/2=2(y-7)

x=2y-14

y=2x-14  ==> switch the x and y variables