Find the value of X please

Answer:

x = 4/9

Step-by-step explanation:

Remember when you subtract logs, you divide the numbers;

This means;

log x - log (x+4) = -1   ---------can be written as;

[tex]log\frac{x}{x+4} =-1[/tex]

Eliminate the log as

[tex]\frac{x}{x+4} =10^{-1}[/tex]

x/ x+4 = 1/10

10x=x+4 --------collect like terms

10x-x =4

9x = 4 ------find value of x

x= 4/9

Answer:

21

Step-by-step explanation:

You have to distribute the 7 in this case:

f(x) = 7(-x + 3)

f(x) = -7x + 21

The y-intercept is the number without the x with it. So, with this function it is 21.

I hope this helps!!

- Kay :)

The first graph shows the x-intercept of -3 and y - intercept of 5.

Option A is true.

What is Intercepts?

The points in which the graph crosses the two axis ( x and y axis) are called Intercepts.

Given that;

The x - intercepts = -3

And, The y - intercepts = 5

Since,

The x - intercepts = -3

That's mean the line cross at the point - 3 on x - axis.

And, The y - intercepts = 5

That's mean the line cross at the point 5 on y - axis.

Clearly, In graph first;

The graph of the line is crosses at the point on x - axis at the point -3 and y - axis at the point 5.

Therefore,

The first graph shows the x-intercept of -3 and y - intercept of 5.

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Answer:

A and D

Step-by-step explanation:

C

i gotta add words so i meat the 20 character limit :)

Answer:

The answer is below

Step-by-step explanation:

The distance between two points on a coordinate plane is given by:

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

Given the location of the apartment (AP) is at A(0,0), the Chicken Shack's (CS) location is at C(3, 4) and Baskin Robbins (BR) is at the location B(- 4, 4). Hence the following distance are:

[tex]|AB|=\sqrt{(-4-0)^2+(4-0)^2} =4\sqrt{2}\ units\\\\|AC|=\sqrt{(3-0)^2+(4-0)^2}=5\ units \\\\|BC|=\sqrt{(3-(-4))^2+(4-4)^2}=7\ units[/tex]

Hence the total distance travelled = distance between the apartment and chicken shack +distance between apartment and Baskin Robbins + distance between Baskin Robbins and chicken shack

total distance travelled = AB + BC + AC = 4√2 + 7 + 5

total distance travelled = 17.66 units

Answer:b

Step-by-step explanation:

Answer:

132 km :)))))))))))))))

Step-by-step explanation:

The Hint said to find the two things in comparison

they are:

cross multiply the two equations

=99km*12lit=9lit*Xkm

=1188lit/km=9Xlit

note;

liters will annul liters

hence,

X=1188km/9

X = 132km

is the final answer

Answer:

Step-by-step explanation:

Rounding to the nearest THOUSANDS means 3 decimal places

40÷3 or [tex]13\frac{1}{3}[/tex]  square yards of tiles are needed.

To find the amount of square yards of tile needed, we will find the area. Now, to calculate the area in square yards, first thing needed in conversion of width of kitchen floor from feet to yard.

As per the known fact, 1 foot = 1÷3 yards

So, converting given width into yards, we will simply multiply

10 feet = (1÷3)×10

10 feet = 10÷3 yards

Now, calculating the square yards of tile needed or area.

Needed tiles = (10÷3)×4

Performing multiplication to find the square yards of tile needed -

Needed tiles = 40÷3 or [tex]13\frac{1}{3}[/tex] square yards.

Hence 40÷3 or [tex]13\frac{1}{3}[/tex] square yards of tile is needed.

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Answer:  Yes, the house is 12 m tall.

Step-by-step explanation:

Since the two triangles are similar, you can set up a proportion.

Like:  [tex]\frac{x}{8.8}= \frac{1.5}{1.1}[/tex]   (other proportions could be correct, as long as corresponding parts are lined up).

Solve by cross-multiplying (multiply each diagonal, then set equal).

This gives us:     1.1(x)  = 8.8(1.5)

Simplify:                 1.1x = 13.2

then divide both sides by 1.1 to solve for x:   x = 13.2/1.1 = 12

This tells us the height of the house is 12 m.  A 13 m ladder would ideally reach the top.

Answer:

x = 6

Step-by-step explanation:

180° is always all triangles.

This is a right triangle, so that means that the angle that is unknown is 90.

Angles:

90

60

7x - 12

90 + 60 + 7x - 12 = 180

150 - 12 + 7x = 180

138 + 7x = 180

7x = 180 - 138

7x = 42

7x/7 = 42/7

x = 6

Answer: So the answer to number 2 is D! And the answer to number 3 is C I think I am not pretty sure about #3 but I am sure its D for 2 and pretty sure for #3 is C!

Answer:

$9.98

Step-by-step explanation:

The first step is to calculate the total fabric that Calista has

= 2 1/2 + 1 3/4

= 5/2 + 7/4

= 17/4

The next step is to calculate the fabric that she needs

= 17/4-3

= 5/4

If each yard of fabric costs $7.98 then the amount needed can be calculated as follows

= 7.98 × 5/4

= 7.98 × 1.25

= 9.975

= $9.98

Hence Kalista needs $9.98

Answer:

First choice, 1/3

Step-by-step explanation:

If you look at 1 to A to B to 2, you would see that there are 3 gaps between them. Therefore it's out of three, A to B is only one gap distance so it's 1/3

The answer is 1/3.

- emmatannerfns

Given:

The three points are (-7,134), (-3,10) and (5,50).

To find:

The equation of parabola using quadratic regression.

Solution:

The general equation of quadratic regression is

[tex]y=ax^2+bx+c[/tex] ...(i)

The three points are (-7,134), (-3,10) and (5,50).

Using the graphing calculator, we get a=3, b=-1 and c=-20. Putting these values in (i), we get

[tex]y=3x^2+(-1)x+(-2)[/tex]

[tex]y=3x^2-x-2[/tex]

Therefore, the equation of parabola is [tex]y=3x^2-x-2[/tex] and the missing values in the given equation are 3, -1 and -20.

Answer:

He did not multiply 3 by the fraction 5/3.

Step-by-step explanation:

8/3=3c + 18/3

Answer:

3

Step-by-step explanation:

10.50 x 3 = 31.5

15 x 13 = 195

195 + 31.5 = 226.50

Answer: I am in 8th grade but am in virtual

Therefore in each composite function we get different domains and ranges which is given below.

(1) f(x) = x+2 , g(x) = 3x - 1

(f + g)(x) = f(x) + g(x)

              =  x+2 + 3x - 1

             = 4x +1

Domain = (-∞ , ∞) and range = (-∞ , ∞)

(f - g )(x) = f(x) - g(x)

                =  x+2 -3x +1

               = -2x + 3

Domain = (-∞ , ∞) and range = (-∞ , ∞)

(f.g)(x) = f (x) g(x)

          = (x+2)( 3x - 1)

           = 3x²- x + 6x - 2

           = 3x²+ 5x -2

Domain = (-∞ , ∞) and range = [-49/12 ,∞)

(f/g)(x) = f(x)/g(x)

           = x+2/3x-1

Domain = (-∞ , 1/3) ∪ (1/3 ,∞) and range = (-∞ , 1/3) ∪ (1/3 ,∞)

(2) f(x) = x² - 5 and g(x) = -x +8

   (f + g)(x) = f(x) + g(x)

                 = x² - 5 -x +8

                 = x² - x +3

Domain = (-∞ , ∞) and range = [11/4 ,∞)

(f - g )(x) = f(x) - g(x)

              =  x² - 5 +x -8

              =  x² + x - 13

Domain = (-∞ , ∞) and range = [-53/4 ,∞)

(f.g)(x) = f (x) g(x)

          = ( x² - 5 )(- x +8)

          = -x³ + 8x² + 5x - 40

Domain = (-∞ , ∞) and range = (-∞ , ∞)

(f/g)(x) = f(x) / g(x)

          = x² - 5 / -x +8

Domain = (-∞ , 8) ∪ (8 ,∞) and range = (-∞ , -16 - 2√59 ) ∪ (-16 + 2√59  ,∞)

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Answer: 5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer: 7/12 + 1/3 is 11/12

Step-by-step explanation: Get a common denominator. On 1/3, multiply 3 and 1 by 4. The makes 4/12. Then, you can add 7/12 and 4/12.

7/12+1/3 in fractions is 11/12.

A fraction represents a part of a whole.

We have to find the value of 7/12+1/3

We have to find the LCM of denominators 12 and 3.

The LCM of 12 and 3 is 12

7+4/12

Seven plus four is eleven

11/12

Hence, 7/12+1/3 in fractions is 11/12.

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Answer:The answer is 1/6

Step-by-step explanation:1/8 miles in 3/4 minutes

then, that means in 1 minute ( 1 min = 3/4 * 4/3) Emma will ride a distance of (1/8)*(4/3)= (1*4)/(8*3)= 1/6.

The answer is 1/6 (in 1 min she will ride 1/6 miles).

Answer:

If he keeps to the same ratio, how many raspberries will Tobias use? ... The first orange paint mixture contains 6 parts red and 9 parts yellow.

Step-by-step explanation:

Answer:

Answer is TS ≅ HG.

Step-by-step explanation:

When a triangle is rotated the corresponding parts are congruent.

Here we get image triangle S T R when we rotate the triangle G H J. So, the corresponding parts of congruent triangles are congruent.

So, ST = GH

RT= HJ

SR= GJ

<S= <G

<T = <H

<R=<J

According to them, the option TS= HG is correct.

Answer:

C. TS ≅ HG

Step-by-step explanation:

Credits to the person above!!!

The third degree - polynomial can be factored into a linear factor of x+2 and a quadratic factor of 2x²+x+5.

A third degree polynomial is a collection of algebraic expressions such that the highest degree of the variable is 3 and there are no fractional degrees and exponential variable.

To factor a polynomial we will use the factor theorem to find the linear factor. Then by dividing the polynomial by the linear factor we will calculate the quadratic factor.

Given polynomial P(x) = 2x³ + 5x² + 7x + 10

Now by using the trial and error method factor theorem we see that

g(x) = (x+2) is a factor of P(x) .

Now let us find the quadratic factor as:

P(x) ÷ g(x) = ( 2x³ + 5x² + 7x + 10) ÷ (x+2) = 2x²+x+5

Hence the third degree - polynomial can be factored into a linear factor of x+2 and a quadratic factor of 2x²+x+5.

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Disclaimer: The correct polynomial is  P(x) = 2x³ + 5x² + 7x + 10 .

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Answer:

I don't find any other way or solution

Step-by-step explanation:

5x^2+7x=5x(x+7/5)

Answer:

Mean = 13.14, Median = 14, Mode = 15

Step-by-step explanation:

The mean is the numbers added together divided by the number of numbers

15 + 11 + 14 + 10 + 12 + 15 + 15 = 92

92 / 7 = About 13.14

The median is the middle of the numbers ordered from least to greatest

10 11 12 14 15 15 15

14 is in the middle so that is the median.

The mode is the number showing up the most.

15 shows up 3 times so it is the mode.

Answer:

<EBF = 40

Step-by-step explanation:

<EBF and <FBD are complementary, which means m<EBF + m<FBD = 90 degrees. Since m<FBD = 50 degrees, m<EBF = 90 - 50 = 40 degrees.