Please help right now!!!!! Solve the system of equations below. x + y = 7 2x + 3y = 16

Answer:

3.4657359...

Step-by-step explanation:

just put into your phone calculator 32 then hit In.

The value of ln 32 is 3.468 .

Logarithm is an inverse of Exponentiation , The power to which a number must be raised in order to obtain another number is known as a logarithm.

It is given that

ln 2 = 0.693

ln 32 = ?

32 = 2⁵

ln 32 = ln 2⁵

ln aⁿ = n ln a

ln 32 = 5 ln 2

ln 32 = 5 * 0.6936

ln 32 = 3.468

Therefore the value of ln 32 is 3.468 .

To know more about logarithm

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Answer:

The travel time of the trip is 8.55 hours

Step-by-step explanation:

The average speed of an object is calculated using the following formula:

[tex]s=\frac{d_2 -d_1}{t}[/tex]

Where [tex]d_2 - d_1[/tex] is the total distance traveled by the object and t is the time it took the object to travel that distance.

So we know that:

[tex]d_2 - d_1=342\ miles[/tex]

[tex]s=40\ mph[/tex]

Therefore:

[tex]40=\frac{342}{t}[/tex]

[tex]t=\frac{342}{40}[/tex]

[tex]t=8.55\ hours[/tex]

Answer: 8 hours and 33 minutes

Step-by-step explanation:

you can set up a ratio, cross multiply, and divide.

Answer:

lcm = 352

Step-by-step explanation:

32 = 2 × 2 × 2 × 2 × 2 = [tex]2^{5}[/tex] ← product of prime factors

44 = 2 × 2 × 11 = 2² × 11 ← product of prime factors

lowest common multiple (lcm) = [tex]2^{5}[/tex] × 11 = 352

32 = 2*2*2*2*2 = 2^5

44 = 2*2*11 = 2^2*11

We take common and non-common numbers with the highest exponent and we multiply them.

2^5*11 = 32*11 = 352.

Answer:

∠10 and ∠4

Step-by-step explanation:

we know that

When two lines are crossed by another line (called the transversal), the angles in matching corners are called Corresponding Angles

In this problem

∠10 and ∠4 are corresponding angles

This is ed right? If so the answer would be c

ANSWER

[tex]g(x) = - \sqrt{x + 3} + 8[/tex]

EXPLANATION

The given function is

[tex]f(x) = - 2 \sqrt{x - 3} + 8[/tex]

The vertex of this function is (3,8)

This function opens downwards so its range is

[tex]y \leqslant 8[/tex]

The function

[tex]g(x) = - \sqrt{x + 3} + 8[/tex]

also has vertex (-3,8)

This function is also reflected in the x-axis. Its range is;

[tex]y \leqslant 8[/tex]

The correct answer is C

Answer:

Step-by-step explanation:

In this question we will find the equation of the dotted line first.

Since this line passes through two pints (0, 2) and (-3, -7)

So slope of the line will be m = [tex]\frac{y-y'}{x-x'}[/tex]

                                                 = [tex]\frac{-7-2}{-3-0}[/tex]

                                                 = [tex]\frac{-9}{-3}[/tex]

                                                 = 3

y-intercept of the line is c = 2

Now we will put these values in the standard form of the equation

y = mx + c

y = 3x + 2

Now we will check the inequality shown by shaded region

we take a point from shaded region and plug in the value of x and y.

For point ( -2, 0) y = (-2)(2)+2

                              = -4 + 2 = -2 and 0>-2

So there should be the sign of greater than.

Therefore, inequality will be y > 3x + 2

Linear inequality represented by the graph is y > 3x +2 and this can be determine by using the slope intercept form.

Given :

Two points - (0 , 2) and (-3 , -7)

Slope of the line can be calculated as follows:

[tex]m = \dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-7-2}{-3-0}=3[/tex]

y intercept is 2.

Now we know that the slope intercept form is given by:

y = mx + c

y = 3x + 2 --- (1)

To check the inequality we take a point from the shaded region and plug in the value of x and y.

At Point (-3,0), equation (1) can be given by:

y = -9 + 2 = -7 < 0

Than inequality must be y > 3x + 2.

For more information, refer the link given below

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Answer:

2( √x - x³ )

Step-by-step explanation:

see attached.

Answer:

(f-g)(x) = 2√x - 2x³

Step-by-step explanation:

Write out the terms of f(x) as they are and then the negatives of all the terms of g.  We get:

(f-g)(x) = √x - x - 2x³ + √x + x

Combining like terms, we get:

(f-g)(x) = 2√x - 2x³

Answer:

I think the picture here explains you everything

hope this helped

Answer:

8 days

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) She uses 23 pages (but the last page has 2)

b) 2

c)Jane needs 82 more stickers because

50pages-23=27

27x3(stickers, befcuaase 3 stickers per page)=81

81+1=82 because on 23 page theres only 2 sticker

Hope this helps

Answer:

B

Step-by-step explanation:

I just took the test lol

Answer:

3(x-2)+x=4x+6

Step-by-step explanation:

case 1) we have

3(x-2)+x=4x-6

Solve for x

3x-6+x=4x-6

4x-6=4x-6

0=0 ----> is true for any value of x

therefore

The equation has infinite solutions

case 2) we have

3(x-2)+x=2x-6

3x-6+x=2x-6

4x-2x=-6+6

2x=0

x=0

case 3) we have

3(x-2)+x=3x-3

3x-6+x=3x-3

4x-3x=-3+6

x=3

case 4) we have

3(x-2)+x=4x+6

3x-6+x=4x+6

4x-4x=6+6

0=12 ------> is not true

therefore

The equation has no solution

Answer:

Step-by-step explanation:

The first equation is the one that doesn't have solution. Let's demonstrate this:

[tex]3(x-2)+x=4x+6\\3x-6+x=4x+6\\4x-6=4x+6\\4x-4x=6+6\\0=12[/tex]

As you can observe, the equation doesn't have any solutions, because it result in a false statement.

If we solve the other equations, we would have:

[tex]3(x-2)+x=2x-6\\3x-6+x=2x-6\\4x-6=2x-6\\4x-2x=-6+6\\2x=0\\x=0[/tex]

[tex]3(x-2)+x=3x-3\\3x-6+x=3x-3\\4x-3x=-3+6\\x=3[/tex]

[tex]3(x-2)+x=4x-6\\3x-6+x=4x-6\\4x-6=4x+6\\6=6[/tex]

The last equation has infinite solutions.

Therefore, the only one that doesn't have any solutions is

Answer:

200 more on Friday than thursday

Answer:

3x - 6 < 12

3x < 18

x < 6

X could be numbers that's less than 6

[tex]3 x - 6 < 12 \\3x<18\\x<6[/tex]

To see if 8 is the solution to the equation,  3 (x - 2) + 4 = 22, you must replace x with 8 and solve using the rules of PEMDAS (Parentheses, Exponent, Multiplication, Division, Addition, Subtraction) REMEMBER: IF NOT APPLICABLE TO THE EQUATION YOU MAY SKIP THAT STEP IN PEMDAS . If the sides are equal to each other then 8 IS a solution.

3(8 - 2) + 4 = 22

Parentheses...

3(8 - 2) + 4 = 22

8 - 2 <<<In the parentheses so you must solve first

6

so...

3(6) + 4 = 22

Multiplication...

3(6) + 4 = 22

3 * 6

18

so..

18 + 4 = 22

Addition...

18 + 4 = 22

18 + 4

22

so...

22 = 22

Are they equal to each other? YES!!!

8 is a solution to the equation 3 (x - 2) + 4 = 22

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

1. Simplify the inequality  5.1(3 + 2.2x) > -14.25 - 6(1.7x + 4):

15.3+11.22x>-14.25-10.2x-24 10;15.3+11.22x>-10.2x-38.75.  

2. Separate terms with x and without x in different sides:

11.22x+10.2x>-38.75-15.3.

3. Add similar terms:

21.42x>-54.05.  

4. Divide by 21.42:

x>-54.05/21.42

x>-2.5

Step-by-step explanation:

Answer:

Definition of midpoint

Step-by-step explanation:

AM = ME because of the lines showing they are equal

M is therefore the Midpoint of the segment AE

Since AE = 12

AM is 1/2 of AE

AM = 1/2 (12)

AM = 6

We use the definition of midpoint

[tex]\frac{1}{6}[/tex]

There are 6 possible options: [tex]\text{1, 2, 3, 4, 5, 6}[/tex]

There is 1 option out of those 6 that we are finding: [tex]\text{3}[/tex]

Therefore, the probability is [tex]\frac{1}{6}[/tex].

Answer:

1/6

Step-by-step explanation:

When we roll a die, we can get the numbers 1,2,3,4,5,6

Each is equally likely

P(3) = How many times 3 occurs/ total

  3 occurs 1 time in on the die and there are 6  possible numbers

P(3) = 1/6

you can't solve this nor find the value of y because its not a full equation

Answer:

You cant solve for y without knowing the end number.

Step-by-step explanation:

maybe your equation y + 30 = 32 then we would know y is = to 2

Answer:

1/6

Step-by-step explanation:

1/2 (the coin chance) * 2/6 (the dice chance) = 2/12 = 1/6

Answer:

A. 1/6

Step-by-step explanation:

Probability of getting heads: 1/2

Probability of rolling a number >or equal to 5: 2/6

(1/2)(1/3)=1/6

Answer: the rectangular

Step-by-step explanation:

All the sides are equal for a regular polygon

Answer:

The Rectangle Is Not A Regular Polygon, Option 2

Step-by-step explanation:

For a polygon to be regular all sides and angles have to be the same! A square is an example of a regular polygon, since all sides and angles are even, a rectangle is not.

Answer:

[tex]r=180-\frac{7\pi }{12}[/tex]

Step-by-step explanation:

To find the reference angle of a given angle, first of all, the quadrant of the given angle is determined.

So for 7pi/12

The quadrant is 2nd.

For the angle belonging to 2nd quadrant the equation for reference angle will be:

r=180 - theeta

[tex]r=180-\frac{7\pi }{12}[/tex]

[tex]\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{}{ h},\stackrel{}{ k})\qquad \qquad radius=\stackrel{}{ r} \\\\[-0.35em] ~\dotfill\\\\ (x-6)^2+(y+5)^2=16\implies [x-\stackrel{h}{6}]^2+[y-(\stackrel{k}{-5})]^2=\stackrel{r}{4^2}~\hfill \begin{cases} \stackrel{center}{(6,-5)}\\ \stackrel{radius}{4} \end{cases}[/tex]

Check the picture below.

The equation of a circle is:

(x - h)² + (y - k)² = radius²

Note:

h = x coordinate for the centre of the circle

k = y coordinate for the centre of the circle

The equation for the circle in the question is:

(x - 6)² + (y - 5)² = 16

So the coordinates for the centre of the circle is:

(6, 5)

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

Since PQ is the diameter of the circle, that means the coordinates for the  midpoint of PQ would also be the coordinates for the centre of the circle

That  means:

( (x coords of P and Q) / 2 , (y coords of P and Q) / 2 )= (6 , 5)

So x-coords of Q:

[tex]\frac{10 + x}{2} = 6[/tex]

10 + x = 12

x = 2

y-coords of Q

[tex]\frac{-5+ x}{2} = -5[/tex]

-5 + x = - 10

x = 5

So the coordinates for Q are:

(2, -5)

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

Answer:

Option A) (2, - 5)

i think this question already been solved:

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Answer:

degree 5

Step-by-step explanation:

(fg)(x) = f(x) × g(x)

f(x) × g(x) = 3x²(4x³ + 1) = 12[tex]x^{5}[/tex] + 3x²

The degree of the polynomial is determined by the value of the largest exponent, that is

12[tex]x^{5}[/tex] ← largest exponent of 5

Hence (fg)(x) is of degree 5

Answer:

No real solutions

Step-by-step explanation:

Using the quadratic formula, you will end up with a square root of a negative number in the numerator. Hence there is no real solution.

see attached.

The solution to the equation x^2 + 3x + 4 = 0 can't be computed using real numbers, because the formula we use (the quadratic formula) results in the square root of a negative number. Therefore, the solutions will be in the form of complex numbers.

The subject question falls under Mathematics, specifically algebra. The equation given is a standard form of a quadratic equation. The general form of a quadratic equation is ax2 + bx + c = 0.

To find the solution for the equation x2 + 3x + 4 = 0, we usually use the quadratic formula x = [-b ± sqrt(b2 - 4ac)] / 2a. Applying this formula, we can put a = 1, b = 3 and c = 4. However, when we compute b2 - 4ac, which is 9 - 16, we receive a negative result (-7). This implies that the equation has no real solutions, because square roots of negative numbers are not real numbers, they are complex numbers.

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Answer:

Should be 5, hopes this helps

Step-by-step explanation:

That's it.

Final answer:

To find the original number, we use the equation 2x + 1 = 11; solving for x gives us the number 5.

Explanation:

To find the number that when doubled and added to 1 gives 11, we can set up a simple algebraic equation to solve for the unknown number. Let's call the unknown number x. According to the problem, if we double the number (2x) and then add 1, the result is 11. So, our equation is 2x + 1 = 11.

Next, we can solve for x by subtracting 1 from both sides of the equation, giving us 2x = 10. Finally, we divide both sides by 2 to isolate x, resulting in x = 5. Thus, the number we're looking for is 5.

Answer:

The measures of two complementary angles are 63° ,  27°

Step-by-step explanation:

The measures of two complementary angles are 6y + 3 and 4y - 13.

Sum of complementary angles = 90°

6y + 3  + 4y - 13 =  90°

10y - 10 =  90°

10y = 90 + 10 = 100

10 y = 100

y    = 100/10 = 10

One angle = 6y + 3 = 6 * 10 + 3 = 60 + 3 = 63

other angle = 4y - 13 = 4 * 10 - 13 = 40 - 13 = 27

The angles are 63° ,  27°

Answer:

20°

Step-by-step explanation:

One way of doing this is to find the constant of proportionality, k:

8k + 6k + 4k = 90°    Then 18k = 90°, and k turns out to be 90/18, or 5.

Then the angles are 8(5), 6(5) and 4(5).  The smallest of these angles is thus 20°

let's recall that the sum of all interior angles in a triangle is 180°.

we know the angles are in a 8:6:4 ratio, so we simply divide 180 by (8+6+4) and then distribute accordingly.

[tex]\bf 8:6:4\qquad \qquad \left( 8\cdot \cfrac{180}{8+6+4} \right) : \left( 6\cdot \cfrac{180}{8+6+4} \right) : \left( 4\cdot \cfrac{180}{8+6+4} \right) \\\\\\ (8\cdot 10):(6\cdot 10):(4\cdot 10)\implies 80~:~60~:~\stackrel{\textit{smallest}}{40}[/tex]

Answer:

The system x = 4 and y = -x - 1 has one solution

Step-by-step explanation:

x = 4 and y = -x - 1 intersects only once on the graph

Answer:

The line x = 4 and y = - x - 1 has only one solution.

Step-by-step explanation:

Consider the provided graph.

The system of equation has the solution at the point where the line intersects.

Now consider the graph of the equation x = 4 and y = - x - 1

The graph of x = 4 is a vertical line.

From the graph it is clear that the line x = 4 and y = - x - 1 intersect at a point.

Now to calculate the number of solutions simply count the number of intersecting points.

By observing the graph it can be concluded that the graph of x = 4 and y = - x - 1 intersect only at one point i.e (4,-5).

Hence, the line x = 4 and y = - x - 1 has only one solution.