f(x) = x + 6 , find the ordered pair when x = -2.

(-2,4)

(2,-4)

(-2,-4)

(2,4)

Answer: [tex]\frac{4}{3}[/tex] or about 1.333

Step-by-step explanation:

    We will use the "keep, change, flip" method to solve. Keep the first number the same, change the division to multiplication, and flip the second number so we have the reciprocal.

[tex]\displaystyle \frac{\frac{5}{8} }{\frac{15}{32} } \,\,\,\,\text{ becomes } \,\,\,\,\frac{5}{8} *\frac{32}{15} =\frac{5*32}{8*15} =\frac{160}{120} =\frac{4}{3}[/tex]

Answer: 4/3

Step-by-step explanation:

find the reciprocal of the divisor

15/32

32/15

Now multiply it with the dividend

5/8

15/32

=5/8

32/15

=5/32

8/15

=160/120

after reducing the fraction the answer is 4/3

in mix form 1 1/3

The length of KI is 10 cms.

The skill of measuring the lengths of objects and understanding the units of length is very crucial as it helps us to interact with our environment in a more organized manner.

Here, ΔRJS ≈ Δ IJK

then JR / JI = SR/KI

         1/2   =5 /ki

         kI = 5 X 2

        kI = 10 units.

Thus, The length of KI is 10 cms.

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Answer:

7

Step-by-step explanation:

You were correct in setting the equation equal to 0 because the problem is asking for when the rock hits the ground and in this problem, you may  assume that the ground is y=0, unless the problem says otherwise.

Ok so where you went wrong is that when you factored out and got

(x-7)(x+2), which is correct, you forgot to set these equal to zero (because your actual equation is set to zero). So you should have

x-7 = 0

and

x+2 = 0

and this gives the actual answers +7 and -2. And since time cant be negative its 7 seconds.

This was a silly mistake and happens a lot more often than you think, so I wouldn't worry too much but make sure you practice more, better to lose points on harder questions than easy ones.

Good luck with your exam !

Answer:

7 seconds

Step-by-step explanation:

Given function:

[tex]y=-2x^2+10x+28[/tex]

where:

To find the time when the rock hits the ground, set the equation to zero and solve for x.

First, simplify by factoring out the common term  -2:

[tex]\implies -2(x^2-5x-14)=0[/tex]

Divide both sides by -2:

[tex]\implies x^2-5x-14=0[/tex]

To factor a quadratic in the form [tex]ax^2+bx+c[/tex], find two numbers that multiply to ac and sum to b.

[tex]\implies ac=1 \cdot -14=-14[/tex]

[tex]\implies b=-5[/tex]

Therefore, the two numbers that multiply to -14 and sum to -5 are: -7 and 2

Rewrite b as the sum of these two numbers:

[tex]\implies x^2-7x+2x-14=0[/tex]

Factorize the first two terms and the last two terms separately:

[tex]\implies x(x-7)+2(x-7)=0[/tex]

Factor out the common term (x - 7):

[tex]\implies (x+2)(x-7)=0[/tex]

Therefore:

[tex]\implies x+2=0 \implies x=-2[/tex]

[tex]\implies x-7=0 \implies x=7[/tex]

As time cannot be negative, the rock hits the ground in 7 seconds.

Answer:

8.49 × 10⁻³

Explanation:

Standard form of a number: A. × 10ᵇ

(where 'A' is the number, b is the exponent over 10)

For the number "0.00849​", move the decimal point 3 places right so the exponent of 10 is -3.

Standard form: 8.49 × 10⁻³

Other examples of standard/scientific forms are:   standard forms

i) 0.043, move the decimal point 2 places right = 4.3 × 10⁻²

ii) 4030, move the decimal point 3 places left = 4.03 × 10³

Answer:

when a number is given in that manner you have to take that decimal between two whole numbers.

and that is the main reason why I took that decimal from 0.0 to 8.49 and since it went towards the right my answer is going to be 8.49 *10 raised to negative 3.

The correct answer is option B which is y > 3x + 2.

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

The given statement says that On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, negative 7) and (0, 2)

The plot of the inequality is given in the graph attached with the answer the inequality will be y > 3x +2 which passes through the points (-3,-7 ) and ( 0, 2 ).

Therefore the correct answer is option B which is y > 3x + 2.

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It is impossible to use a disjunction introduction to derive any other type of formula besides disjunctive formulas.

A rule of inference in propositional logic and virtually every other deduction system is referred to as disjunction introduction.

It is right to state that it is not possible to use a disjunction introduction to derive any other type of formula besides disjunctive formulas.

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The ratio using fraction notation of $5 to $35 would be 7.

A fraction represents a part of a number or any number of equal parts.

To convert a ratio into a fraction,

We will simply use the first number as the numerator and the second number as the denominator.

So the fraction = 35/5.

= 7

Since there are no more common factors, the fraction is in its lowest form which is 7.

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Answer:

No Solutions.

Step-by-step explanation:

original equation

3x+13 = 3(x+6)+1

distribute 3

3x+13 = 3x+18+1

simplify

3x+13 = 3x+19

since the slope is the same for both equations and the y-intercept is different the two equations are parallel meaning they will never intersect so there are no solutions.

Answer:

No solutions

Step-by-step explanation:

3x + 13 = 3 (x + 6) + 1

3x + 13 = 3x + 18 + 1

3x + 13 = 3x + 19

3x + 13 = 3x + 19 meaning no solution since they aren't equivalent to each other

Answer:

this one

Step-by-step explanation:

Answer:

A. JK and LM lie in the same plane

B. JK and LM do not intersect

E. JK and LM are parallel

Step-by-step explanation:

hope this helped

Answer:

210km

Step-by-step explanation:

2hours = 180km

2hours = 120minutes

40mins =180/3

           =60km

20mins=60/2

            =30km

2h and 20mins =30+180

                          =210km

Answer:

210kms

Step-by-step explanation:

Speed of the car per hour = 90km/h

or, speed of the car per minute = 90/60kms=1.5km/minute

Now,

car drives for 2hours and 20 minutes

or, (2*60 +20) minutes= 140minutes

Distance of the car drive= minutes travelled* speed per minute

= 140*1.5kms

=210kms

Answer:

y = 16.5 ft

Step-by-step explanation:

• in the right triangle BCD :

cos(∠BCD) = 8/14

________

• In the right triangle ABC :

cos(∠BCA) = 14/(8+y)

________

Since ∠BCD and ∠BCA are the same one

then

cos(∠BCD) = cos(∠BCA)

Therefore

[tex]\frac{8}{14} =\frac{14}{y+8}[/tex]

[tex]\Longleftrightarrow 8(y+8)=14^2[/tex]

[tex]\Longleftrightarrow 8y+64=196[/tex]

[tex]\Longleftrightarrow 8y=196-64[/tex]

[tex]\Longleftrightarrow 8y=132[/tex]

[tex]\Longleftrightarrow y=\frac{132}{8}[/tex]

[tex]\Longleftrightarrow y=16.5[/tex]

Answer:

Triangles:

- Equilateral: Has three equal sides

- Isosceles: Has two equal sides

- Right angled: One angle of a right angle triangle measures 90 degrees

- Scalene: All sides are different lengths

Quadrilaterals:

- Square: Has four right angles and four equal sides

- Rectangle: Has four right angles and opposite sides are equal

- Rhombus: A parallelogram with four equal sides

- Parallelogram: Opposite sides are equal and parallel

- Trapezium: At least one set of sides are parallel

- Kite: Two pairs of adjacent sides are the same length

Answer:

$123.21 (nearest cent)

Step-by-step explanation:

Annual Compound Interest Formula

[tex]\large \text{$ \sf A=P\left(1+r\right)^{t} $}[/tex]

where:

Given:

Substitute the given values into the formula and solve for A:

[tex]\implies \sf A=100\left(1+0.11\right)^{2}[/tex]

[tex]\implies \sf A=100\left(1.11\right)^{2}[/tex]

[tex]\implies \sf A=123.21[/tex]

Therefore, the value of the account in 2 years will be $123.21 (nearest cent).

[tex]\huge\color{red} {\boxed{\tt{A}}} \color{blue} {\boxed{\tt{N}}} \color{hotpink}{\boxed{\tt{S}}} \color{blueviolet}{\boxed{\tt{W}}} \color{fuchsia}{\boxed{\tt{E}}}\color{lavender}{\boxed{\tt{R}}}[/tex]

[tex] \red{ \star} \pmb{Diameter \: of \: the \: sphere = 7 m}[/tex]

[tex] \red{ \star} \pmb{Radius =\frac{7}{2} = 3.5 m}[/tex]

[tex] \pink{\underline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}[/tex]

[tex] \sf{Area \: available \: to \: motorcyclist \: for \: riding = Area \: of \: sphere}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{= 4πr^2}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{= 4*\frac{22}{7}*3.5*3.5}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{= 154}[/tex]

The area available to the motorcyclist for riding is 154 m²

Diameter of the sphere = 7m

[tex]{Radius =\frac{7}{2} = 3.5 m}[/tex]

Area available to motorcyclist for riding = Area of sphere

[tex]{= 4πr^2} \\ \\ {= 4*\frac{22}{7}*3.5*3.5} \\ \\ {= 154}.[/tex]

The area available to the motorcyclist for riding is 154 m²

Answer:

B

Step-by-step explanation:

the volume (V) of a sphere is calculated as

V = [tex]\frac{4}{3}[/tex] πr³ ( r is the radius )

here r = 13 , then

V = [tex]\frac{4}{3}[/tex] π × 13³ = [tex]\frac{4}{3}[/tex] π × 2197 = [tex]\frac{4(2197)}{3}[/tex] π = [tex]\frac{8788}{3}[/tex] π units³

The solution is, B.  8788/3 * π units³ is the volume of the sphere shown below.

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

here, we have,

the volume (V) of a sphere is calculated as

V = 4/3 πr³ ( r is the radius )

now, we have,

from the given figure, we get,

here r = 13 , then

V =  4/3* π × 13³

= 4/3* π × 2197

= 8788/3 * π units³

Hence, The solution is, B.  8788/3 * π units³ is the volume of the sphere shown below.

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The equation that justifies [tex]9^{1/3}=\sqrt[3]{9}[/tex] is [tex](9^{1/3}) ^{3} = 9^{3/3} = 9[/tex]

The expression given is [tex]9^{1/3}=\sqrt[3]{9}[/tex].

The equation that justifies [tex]9^{1/3}=\sqrt[3]{9}[/tex] is as follows:

Therefore, using indices law,

[tex]a^{x/y} =\sqrt[y]{a^{x} }[/tex]

Hence,

[tex]9^{1/3}=\sqrt[3]{9}[/tex]

Therefore, the equation that shows it is correct is as follows;

[tex](9^{1/3}) ^{3} = 9^{3/3} = 9[/tex]

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Answer:

Use Calculator:

Approximately. 1429.411

Step-by-step explanation:

Hope it Helps!!!

Answer: You have already given the answer in the question! You can make a small shoe box.

The new equation will become f(x) = 3([tex]2^{x}[/tex]).

The given information is the stretch factor which is 3 and the equation f(x)=[tex]2^{x}[/tex].

When there is a vertical strecth factor, you need to multiply the equation by the stretch factor.

By stretching the function, the value of y has to be multiplied by 3, will now be equal to 3f(x)

The new equation will become f(x) = 3([tex]2^{x}[/tex]).

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Answer:

1=76°

2=76°

3=36°

Step-by-step explanation:

To find 1, add the other angles in the triangle and subtract by 180.

85+19=104

180-104=76.

1 is equal to 2 so 2=76

To find 3, add 76 and 68, then subtract by 180.

76+68=144

180+144=36

3=36

Hope this helps!

If not, I am sorry.

Answer:

m∠1 = 76°

m∠2 = 76°

m∠3 = 36°

Step-by-step explanation:

The interior angles in a triangle sum to 180°

⇒ m∠1 + 85° + 19° = 180°

⇒ m∠1 + 104° = 180°

⇒ m∠1 + 104° - 104° = 180° - 104°

⇒ m∠1 = 76°

Vertical Angle Theorem

When two straight lines intersect, they form two pairs of angles.  The vertically opposite (non-adjacent) angles are congruent.

⇒ m∠2 = m∠1

⇒ m∠2 = 76°

The interior angles in a triangle sum to 180°

⇒ m∠2 + m∠3 + 68° = 180°

⇒ 76° + m∠3 + 68° = 180°

⇒ m∠3 + 144° = 180°

⇒ m∠3 + 144° - 144°= 180° - 144°

⇒ m∠3 = 36°

Answer:

-20

2(xy-7)=-20 with x=-1 y=3

Step-by-step explanation:

2(xy-7)=?

When variables are connected such as xy, this means to multiply.

x=-1

y=3

Multiply the x and the y together.

-1*3=-3. Plug that into the equation.

2(-3-7)=?

Subtract the inside the parenthesis.

2(-10)=?

Multiply. Remember when multiplying a positive and a negative the answer will always be a negative.

2(-10)=-20

This means that 2(xy-7)=-20 with the x=-1 and y=3.

Hope this helps!

If not, I am sorry.

Answer:

5

Step-by-step explanation:

median basically means the number which is in the middle so 8,8,9, 5 ,10,4,9

the median is 5 because left and right middle is 5 that's why it is median

Answer:

5.1 yd

Step-by-step explanation:

tan(25°) = x/11

x = 11tan(25°)=5.1 yd

Answer:

$30 is the original price.

Step-by-step explanation:

Let x be the original price of the gift.  The sisters got a 10% discount, so the price paid by them is 0.90x.

The five sisters each paid $5.40, so the total they paid was:

5*($5.40) = $27.

This is equal to the 0.90x:  

0.90x = $27

x = $27/0.90

x = $30

Chocolates

Answer:

B and D

Step-by-step explanation:

vertex(2,5) so D is correct

there are no real roots for the function B is correct

Answer:

the first one listed (y = -[tex]2^{x}[/tex] + 4)

Step-by-step explanation:

a 0 at an x-intercept means that when plugging in that number, you get a 0 as a y-value.

So, the easiest method to use is to plug x=2 into each equation listed, because we can see that (2,0) is a point on this graph

if y= -[tex]2^x\\[/tex] + 4

y = -2² + 4

y = -4 + 4

y = 0

This means that this graph has corresponding real zero(s) to the function    y= [tex]-2^x[/tex] + 4

(I chose which graph to test by looking to see which option seemed right)