|x - 7| - |x - 2| = 3

Answer:

The difference in unit price is $0.01/ounce

Step-by-step explanation:

A 16 -ounce bottle of Spring Water = $1.76

A 20 -ounce bottle of Fresh Water = $2.40

For the spring water, the unit price = 1.76/16 = $0.11/ounce

For the fresh water, the unit price = 2.4/20 $0.12/ounce

The difference in unit price is $0.01/ounce

Answer:

My answer to the question is 9×n=9n.

Answer: -7.2

Step-by-step explanation:

The vertex form of quadratic equation :[tex]f (x) = m(x - a)^2 + b,[/tex] where (a,b) is the vertex.

Given: The quadratic function g(x) has a vertex at  (-5, 0).

Put (a,b)= (-5,0) for function g(x), we get

[tex]g(x)=m(x-(-5))^2+0\\\\\Rightarrow\ g(x)=m(x+5)^2[/tex]

Also, its  y-intercept is (0, -5).

Put x= 0 and g(x) =-5

[tex]-5=m(0+5)^2\\\\\Rightarrow\ -5=m(25)\\\\\Rightarrow\ m=\dfrac{-5}{25}\\\\\Rightarrow\ m=\dfrac{-1}{5}[/tex]

so, [tex]g(x)=-\dfrac{1}{5}(x+5)^2[/tex]

For g(1), put x=1

[tex]g(1)=-\dfrac{1}{5}(1+5)^2\\\\=-\dfrac{1}{5}(6)^2=-\dfrac{1}{5}(36)\\\\=-7.2[/tex]

Hence, g(1) is -7.2.

Answer:

Yes

Step-by-step explanation:

If you put all of those points on a graph you get a slope of 4 and a perfectly straight line.

Answer:

The answer is Yes, because the price is 4 times the number of cupcakes because 3 × 4 = $12, 4 × 4 = $16.

Step-by-step explanation:

Answer: e. x≠2             f. x≥-1/2

Step-by-step explanation:

Domain is basically the x value of a function.

----------------------------------------------------------------

Question e.

g(x)=5/(2-x)

First, keep in mind, the denominator of a fraction can not be zero or else it will be undefined.

Since x is in the denominator: 2-x≠0

2-x≠0

----------------------------------------------------------------

Question f

h(x)=√(2x+1)

For a standard square root, the value inside can't b negative

So 2x+1≥0

        2x≥-1

Hope this helps!! :)

Please let me know if you have any question

Answer:

32

Step-by-step explanation:

simplify

8 [-4 (3-2)]

multiply

8 [-4 (1)]

take absolute value: four becomes positive

8 [-4]

solve

8*4

32

Answer:

i believe its -32

Step-by-step explanation:

Well you start in the parentheses and you get 1 and then you multiply -4 x 1 and you get -4 and then multiply that by 8 and get -32

hope this helps

Answer:

4-(-5)=4+5=9

Step-by-step explanation:

Instead of subtracting the numbers, the subtraction sign and the negative sign in front of the 5 combine to make one big plus sign, therefore resulting in the equation becoming 4+5=9.

Answer:

An equilateral triangle is a triangle in which all three sides are equal. An equilateral triangle is also equiangular, in which all three internal angles are also congruent to each other and are each 60°.

Parallelogram and rhombus possibly.

Trapezoid.

Answer:

Part a)

Three equal sides

Three equal angles

Part b)

1) Rhombus

2) Parallelogram

[Both have 2 pairs of parallel sides and thus have their opposite angles equal]

Part c)

Trapezoid [Have exactly 1 pair of parallel sides]

Answer:

Range { 3,7,11,15}

Step-by-step explanation:

The range is the output or y values

Range { 3,7,11,15}

Answer: 75 minutes.

Step-by-step explanation:

Given that the line a bus arrives at the bus stop every 25 minuetes, and the line B busarrived every 15 minuetes both are at the bus stop right now.

In how many minutes will both be at the bus stop again?

We can achieve that by finding the LCM of 25 and 15

The LCM of both will be 3, 5 and 5

That is, 3 × 5 × 5 = 75 minute.

Therefore, both will be at the bus stop again in the next 75 minutes or 1 hour 15 minutes.

Answer:

22.45

Step-by-step explanation:

Answer: The correct answer is -132.64

Answer:

The answer to this is true because they are open at the same angle

Answer:

30.1 Metres

Step-by-step explanation:

For this problem, we will use the law of sines twice to find the height of the tree.

First, you need to draw the image of the tree with two triangles, one with an angle of 34 degrees, and the second with an angle of 41 degrees, both being a right triangle toward the tree.  The distance between point A and point B should be 10 meters.

From here, your bottom line of the triangle should be represented as 10 + x for the unknown distance from where Sophie stood to the tree.  The x represents the distance from point B to the tree, whereas 10 + x represents the distance from point A to the tree.

Now, let's use the scalene triangle created by the distance between point A and point B to the top of the tree, to calculate the diagonal distance from point B to the top of the tree.

Using this scalene, we have the angles, 34, 7, and 139.  Now, use the law of sines to find the diagonal of point B to the top of the tree represented by r.

sin(7) / 10 == sin (34) / r

r == 10 * sin (34) / sin(7)

r == 10 * .55919 / .12187

r == 45.88

Now that we know this diagonal distance, we can use the law of sines again with the second triangle, 41, 49, 90, to find the height of the tree represented by y.

sin(41) / y == sin(90) / 45.88

y == 45.88 * sin(41) / sin(90)

y == 45.88 * .65606 / 1

y == 30.1

So the height of the tree to the nearest tenth of a metre would be 30.1 metres.

Cheers.

Answer:

Step-by-step explanation:

tan(34°)≈0.6745         tg(41°)≈0.8693

[tex]\tan(34^o)=\dfrac h{x+10}\\\\\tan(34^o)(x+10)=h\\\\x+10=\dfrac h{\tan(34^o)}\\\\x=\dfrac h{\tan(34^o)}-10[/tex]                               [tex]\tan(41^o)=\dfrac hx\\\\x\tan(41^o)=h\\\\x=\dfrac h{\tan(41^o)}[/tex]

[tex]\dfrac h{\tan(34^o)}-10=\dfrac h{\tan(41^o)}\\\\ h\tan(41^o)-10\tan(34^o)\tan(41^o)=h\tan(34^o) \\\\ h\tan(41^o)-h\tan(34^o)=10\tan(34^o)\tan(41^o) \\\\ h[\tan(41^o)-\tan(34^o)]=10\tan(34^o)\tan(41^o)\\\\h=\dfrac{10\tan(34^o)\tan(41^o)}{\tan(41^o)-\tan(34^o)}\\\\\\h\approx \dfrac{10\cdot0.6745\cdot0.8693}{0.8693-0.6745}=\dfrac{5.8634285}{0.1948}\approx30.1\ m[/tex]

Answer:

0.505 in fraction is 101/200.

it can't be divided into simplest form

Answer:

[tex] \frac{9}{7} \: or \: 1.28[/tex]

Step-by-step explanation:

[tex] \frac{9}{m + 4} = \frac{9}{3 + 4} = \frac{9}{7} \: or \: 1.28[/tex]

A point represents a location. A coordinate on a plane .

The intersection of two planes is a line.

Answer:

   55 and 71

Step-by-step explanation:

Let s represent the smaller part.

  s +(s +16) = 126

  2s = 110

  s = 55

  s+16 = 71

The two parts are 55 and 71.

_____

After you work a few of these, you recognize that the two numbers will be ...

  [tex]\dfrac{126}{2}\pm\dfrac{16}{2}\quad\text{half the sum plus or minus half the difference}[/tex]

Answer:

54 Minutes

Step-by-step explanation:

Answer:

b. -2

Step-by-step explanation:

[tex]y =-x-2[/tex]

Let x equal 0

[tex]y = -(0) -2\\y =-0-2\\y =-2[/tex]

Answer:

B

Step-by-step explanation:

So we have the equation:

[tex]y=-x-2[/tex]

This is in the slope-intercept form, where:

[tex]y=mx+b[/tex]

m is the slope and b is the y-intercept.

From the given equation, m is -1 and b is -2.

Therefore, the y-intercept is -2.

Our answer is B

Answer:

F=C+32.

128=C+32.

C=128-32.

96°C

Answer:

453

Step-by-step explanation:

Answer:

1) natural number or whole number

2) rational number

3) irrational number

4) integer

5) associative property under with respect to multiplication over addition

6) left distributive property with respect to multiplication over subtraction

7) communitative property under addition

8) right distributive property with respect to multiplication over addition

9) +7

10) -4/9

11) -3.8

12) root -5

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) rational number

2) 5/4 = 1.25  rational number

3) √11  irrational number

4) - 12  rational number

5) (6*8) *5 = 6*(8*5)  Associative property of multiplication

6)  7*(9-5) = 7*9 - 7*5   Distributive property upon subtraction

7)  84 + 16 = 16 +84  Commutative property of  addition

8) (12 +5) *6 = 12*6 + 5*6 Distributive property upon addition

     Given number      additive inverse      multiplicative inverse

9)       - 7                            +7                            [tex]\frac{-1}{7}[/tex]

10)     [tex]\frac{4}{9}[/tex]                               [tex]-\frac{4}{9}[/tex]                           [tex]\frac{9}{4}[/tex]

11)  3.8                               -3.8                        [tex]\frac{1}{3.8}[/tex]

12) √5                               -√5                         [tex]\frac{1}{\sqrt{5} }[/tex]

Hint:

To find additive inverse, just reverse it's sign

a  additive inverse is -a

-a  additive inverse  is  a

Multiplicative inverse of a number 'x' is 1/x

Multiplicative inverse of a fraction a/b is b/a

Answer:

0.83

Step-by-step explanation:

[tex] \frac{45}{54} \\ [/tex]

Use 3 to divide through

[tex] \frac{5}{6 } = 0.8333333[/tex]

Answer:

Step-by-step explanation:

y=x+3² if this is the equation then it is all real numbers

Answer:

1860

Step-by-step explanation:

First, we need to get to 0.

1240 above sea level.  The distance to 0 is 1240.

Next, below sea level.  The distance to 0 is 620.

So, add 1240 + 620 to find the distance between the 2 numbers.

1860

Hope this helps!!!

Answer: 28 dots

Step-by-step explanation: In this pattern,

we can see the the first figure is just 1 dot.

The second figure has a new row on the bottom with 2 dots.

The third figure has a new row on the bottom with 3 dots

and the fourth figure has a new row on the bottom with 4 dots.

So continuing with this pattern,

the next figure will have a new row with 5 dots,

the next will have a new row with 6 dots,

and the next will have a new row with 7 dots.

So in the 7th picture, we will have 7 + 6 + 5 + 4 + 3 + 2 + 1 dots.

This simplifies to 28 dots.

Take a look below.

Answer:

w= A / l

Step-by-step explanation:

A = lw

Where,

A= Area of a rectangle

l= Length of a rectangle

w= width of a rectangle

Area of a rectangle = length × width

Solve the formula(equation) for width(w).

A= lw

Divide both sides by l

A / l = lw / l

A / l = w

Width = Area of the rectangle / length of the rectangle

Example: Find the width of the rectangle with length of 6 inches and Area of 12 square inches.

A= 12 square inches

l= 6 inches

w= x inches

A= lw

w= A / l

= 12 / 6

= 2

w = 2 inches

Answer: a = -6

Step-by-step explanation:

Answer:

Hey there!

50-43+(6x8)-9+3

50-43+48-9+3

7+48-9+3

46+3

49

Let me know if this helps :)

Answer:

= 49

Step-by-step explanation:

  50-43+(6x8)-9+3

=  50 - 43 + (48) - 9 + 3

=  (50 + 48 + 3) + (-43 - 9)

= 101 - 52

= 49