2x+4 translation 7 units left

Answer:

32

Step-by-step explanation:

You can keep adding 4 from -16 for a total of 12 times to get 32

or you can multiply 12*4 to get 48 and subtract 16 from it

hope this is good enough

2 3 5 7 11 13 17 19 23

29 31 37 41 43 47 53 59 61 67

71 73 79 83 89 97 101 103 107 109

113 127 131 137 139 149 151 157 163 167

173 179 181 191 193 197 199 211 223 227

229 233 239 241 251 257 263 269 271 277

281 283 293 307 311 313 317 331 337 347

349 353 359 367 373 379 383 389 397 401

409 419 421 431 433 439 443 449 457 461

463 467 479 487 491 499 503 509 521 523

541 547 557 563 569 571 577 587 593 599

601 607 613 617 619 631 641 643 647 653

659 661 673 677 683 691 701 709 719 727

733 739 743 751 757 761 769 773 787 797

809 811 821 823 827 829 839 853 857 859

863 877 881 883 887 907 911 919 929 937

941 947 953 967 971 977 983 991 997   Thats all the prime numbers between 1 and 1000   Prime numbers can only be multiplied by its self ad one

Answer:

Solving for x:

[tex]x = \frac{3}{2} y + 9[/tex]

Solving for y:

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

Step-by-step explanation:

Please see the attached picture for full solution.

Answer:

Step-by-step explanation:

f(x)= 2x + 5

g(2x + 5)= (2x + 5)^2 = 4x^2 + 20x + 25

h(4x^2 + 20x + 25)= -2(4x^2 + 20x + 25)= -8x^2 -40x - 50

Answer

Step-by-step explanation:

Answer:

2 between 2 and 4 and 8 between 7 and -1

Answer: - 1°F

Step-by-step explanation:

Given that:

At 8a.m:

Temperature = 3°F below 0

By 1p.m ; Temperature rose by 14F ;

By 10pm ; temperature dropped by 12F

Temperature at 10 pm:

3°F below 0 = - 3°F

Temperature at 1pm: temperature increased by 14°F

-3°F + 14°F = 11°F

Temperature at 10pm: temperature dropped by 12°F

11°F - 12 = - 1°F

Answer:

63

Step-by-step explanation:

7*9=63 equal on negative

Answer:

The Communitive Property of Addition

Step-by-step explanation:

The properties are

Communitive: You can switch the order and still get the same answer

Assosiative: You can switch what numbers are in the parentheses and still get the same answer (if you're only adding) a+(b+c)=c+(a+b)

Distributive: (a*b)+(a*c)=a*(b+c)

Identity: You can add a number with 0 and get the same number you started with

y+x=x+y is the communitive property because, no matter which order the numbers are, you get the same answer

Answer:

C) 1/2

Step-by-step explanation:

The slope of a perpendicular line is the negative inverse.

First, convert the given line to slope-intercept form.

2x + y = -7

y = -2x − 7

The slope of this line is -2.  So the slope of the perpendicular line is:

m = -1 / (-2)

m = 1/2

Answer:

23 1/25 desserts per month

Answer:

5/3

Step-by-step explanation:

1.6 repeating is equal to 5/3

The repeating decimal 1.6 can be written as the simplified fraction 5/3.

To rewrite the decimal 1.6 repeating (1.6) as a simplified fraction, we can use algebraic manipulation. Let's denote 1.6 as x:

x = 1.6

Now, to eliminate the repeating decimal, we can multiply both sides of the equation by 10 (since there is one digit repeating after the decimal point):

10x = 16.6

Next, subtract the original equation from the multiplied equation to eliminate the repeating decimal:

10x - x = 16.6 - 1.6

This simplifies to:

9x = 15

Finally, divide both sides by 9 to solve for x:

x = 15 / 9

Now, we simplify the fraction:

x = 5/3

Therefore, the repeating decimal 1.6 can be written as the simplified fraction 5/3.

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Answer:

Part A: The proposed route does not meet requirement because it is longer than the maximum required length of 3 miles

Part B: For the total distance is as close to 3 miles as possible, the start point of the parade should be at the point on Broadway with coordinates (9.941, 4.970)

Part C: The coordinates of the cameras stationed half way down each road are;

For central avenue; (4, 2)

For Broadway; (7.97, 2.49)

Step-by-step explanation:

Part A: The length of the given route can be found using the equation for the distance, l, between coordinate points as follows;

[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

Where for the Broadway potion of the parade route, we have;

(x₁, y₁) = (12, 3)

(x₂, y₂) = (6, 0)

[tex]l_1 = \sqrt{\left (0 -3\right )^{2}+\left (6-12 \right )^{2}} = 3 \cdot \sqrt{5}[/tex]

For the Central Avenue potion of the parade route, we have;

(x₁, y₁) = (6, 0)

(x₂, y₂) = (2, 4)

[tex]l_2 = \sqrt{\left (4 -0\right )^{2}+\left (2-6 \right )^{2}} = 4 \cdot \sqrt{2}[/tex]

Therefore, the total length of the parade route =-3·√5 + 4·√2 = 12.265 unit

The scale of the drawing is 1 unit = 0.25 miles

Therefore;

The actual length of the initial parade =0.25×12.265 unit = 3.09 miles

The proposed route does not meet requirement because it is longer than the maximum required length of 3 miles

Part B:

For an actual length of 3 miles, the length on the scale drawing should be given as follows;

1 unit = 0.25 miles

0.25 miles = 1 unit

1 mile =  1 unit/(0.25) = 4 units

3 miles = 3 × 4 units = 12 units

With the same end point and route, we have;

[tex]l_1 = \sqrt{\left (0 -y\right )^{2}+\left (6-x \right )^{2}} = 12 - 4 \cdot \sqrt{2}[/tex]

y² + (6 - x)² = 176 - 96·√2

y² = 176 - 96·√2 - (6 - x)²............(1)

Also, the gradient of l₁ = (3 - 0)/(12 - 6) = 1/2

Which gives;

y/x = 1/2

y = x/2 ..............................(2)

Equating equation (1) to (2) gives;

176 - 96·√2 - (6 - x)² = (x/2)²

176 - 96·√2 - (6 - x)² - (x/2)²= 0

176 - 96·√2 - (1.25·x²- 12·x+36) = 0

Solving using a graphing calculator, gives;

(x - 9.941)(x + 0.341) = 0

Therefore;

x ≈ 9.941 or x = -0.341

Since l₁ is required to be 12 - 4·√2, we have and positive, we have;

x ≈ 9.941 and y = x/2 ≈ 9.941/2 = 4.97

Therefore, the start point of the parade should be the point (9.941, 4.970) on Broadway so that the total distance is as close to 3 miles as possible

Part C: The coordinates of the cameras stationed half way down each road are;

For central avenue;

Camera location = ((6 + 2)/2, (4 + 0)/2) = (4, 2)

For Broadway;

Camera location = ((6 + 9.941)/2, (0 + 4.970)/2) = (7.97, 2.49).

This exercise is necessary to use the given map information and then make the distance between points, in this way we find that:

A)The proposed route does not meet requirement because it is longer than the maximum required length of 3 miles.

B) Broadway and Cedar Street

C) [tex]Central \ Avenue(4, 2)Broadway (7.97, 2.49)[/tex]

So from the distance between points and the informed map we have:

A) The equation for the distance, as follows:

[tex]l=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

Where for the Broadway potion of the parade route, we have:

[tex](x_1,y_1)=(12,3)\\(x_2,y_2)=(6,0)[/tex]

Applying the values ​​in the formula given above, we have:

[tex]l_1=\sqrt{(0-3)^2+(6-12)^2}=3\sqrt{5}[/tex]

For the Central Avenue potion of the parade route, we have:

[tex](x_1, y_1) = (6, 0)(x_2, y_2) = (2, 4)[/tex]

Applying the values ​​in the formula given above, we have:

[tex]l_2=\sqrt{(4-0)^2+(2-6)^2}=4\sqrt{2}[/tex]

Therefore, the total length of the parade route:

[tex]3\sqrt{5} + 4\sqrt{2} = 12.265 \\0.25*12.265 unit = 3.09\ miles[/tex]

B) The two streets that are the same distance apart are the streets: Broadway and Cedar Street.

C) The coordinates of the cameras stationed half way down each road are:

For Central Avenue:

[tex]Camera \ location = ((6 + 2)/2, (4 + 0)/2) = (4, 2)[/tex]

For Broadway:

[tex]Camera\ location = ((6 + 9.941)/2, (0 + 4.970)/2) = (7.97, 2.49)[/tex]

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Answer:

i cant really see because of glare

Step-by-step explanation:

Answer: The length of a side of the square is given by x

The length of a side of the equilateral triangle is given by x=1

Given is : The perimeter of a square is equal to the perimeter of an equilateral triangle.

Perimeter of square is given as 4 x side.

Perimeter of equilateral triangle is given as 3 x side.

So, we will make both equal.

As x = 1 for triangle, the equation becomes:

4x=3

so x=3/4

Step-by-step explanation:

Step-by-step explanation:

35•32 or 1120 there you go

Answer:

5

Step-by-step explanation:

Occurs most often

Answer:

175 and 177

Step-by-step explanation:

since a interger is a postive number

Answer:

200+10+6=216

Step-by-step explanation:

2 hundred and 16 is in word form

Since 200 can be written as a sum of 2 100's, hence there are two hundred in the expression given,

Given the expression 200 + 10 + 6

Each term can be written in words as shown:

200 is two hundred

200 = 100 + 100

Since 200 can be written as a sum of 2 100's, hence there two hundred in the expression given,

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Answer:

Step-by-step explanation:

36 divided by 3. I think.

Answer:

Divide 3 by 36 and simplify your answer

Step-by-step explanation:

Answer:

f(-5) = 50

Step-by-step explanation:

Simply plug in -5 for x into the function:

f(-5) = (-5)² - 5(-5)

f(-5) = 25 + 25

f(-5) = 50

Answer:

21.6 Pounds

Step-by-step explanation:

Multiply 2.5 by 8.34 to get 20.85 pounds of water

add the weight of the bucket (.75) to the weight of the water (20.85) to get 21.6 pounds total

Answer:

3000000

Step-by-step explanation:

:D

The equivalent value of the equation is A = 3000000

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first number be p = 3000

Let the second number be q = 1000

Now , A = pq

where A = 3000 x 1000

On simplifying the equation , we get

A = 3000 x 1000

So , the left hand side of the equation is equated to the right hand side by the value of ( 3000 x 1000 )

A = 3000000

Therefore , the value of A = 3000000

Hence , the expression is A = 3000000

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Answer:

-8 and 4 are 6 away from -2

Step-by-step explanation:

------/----------------------------------------/----

-9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7

Answer:

x = -18

Step-by-step explanation:

4+ x / -9 = 6

x / -9 = 6 - 4

x / -9 = 2

x = 2*-9

x = -18

found this deimos Google hope this helps -

x in (-oo:+oo)

x/4-9 = 6 // - 6

x/4-9-6 = 0

1/4*x-15 = 0 // + 15

1/4*x = 15 // : 1/4

x = 15/1/4

x = 60

Minus means subtraction.

Plus means addition.

Divided means division.

Two hundred fifty nine minus eighty five plus sixty two divided by two:

259 - 85 + 62 / 2

Solution:

259 - 85 + 62 / 2

259 - 85 + 31

174 + 31

205

Best of Luck!

Answer:

259 - 85 + 62 ÷ 2

And if you need the answer to this expression its 205

You selected the correct answer choice.

The given equation y = 3x-5 is in the form y = mx+b with slope m = 3.

Parallel lines have equal slopes but different y intercepts. So any parallel line will also have slope m = 3 (the b value must be different though).

Since , angle PQT and PQR are in a line .

So ,  PQT=PQR

(3x + 47) + (6x - 25) = 180

x = 17.56

Now , PQR and SQR are also in same line .

So , PQR + SQR = 180

( 6x - 25 ) + SQR = 180

105.33 - 25 + SQR = 180

SQR = 99.67°

Hence , this is the required solution .

Answer:

Step-by-step explanation:

x  - the miles to travel

467+x  - the main odometer after x miles travel

22+x   - the trip odometer after x miles travel

2(22+x)    - two times the trip odometer after x miles travel

2(22+x) = 467 + x

44 + 2x = 467 + x

     - 44       -44

     2x = 423 + x

    -x       -x

     x = 423

Answer:

how far you've driven

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

28 * 2 = 56.