Which linear function has the same y-intercept as the one that is represented by the graph?

NEED HELP What is the real value of x in the equation log.2.24 - log.2.3 = log.5.x ?

tia_tia [17]

Answer:

125

Step-by-step explanation:

log2 (24) - log2 (3) = log5 (x)

We know that log a(b) - log a(c) = log a( b/c)

log2 (24/3) = log5 (x)

log2 (8) = log5 (x)

Rewriting 8 as 2^3

log2 (2^3) = log5 (x)

We know that log a ( a^b) = b loga (a) and loga (a) =1

3 log2 (2) = log5 (x)

3 *1 = log5 (x)

3 = log5 (x)

We know log a (b) =c can be written as a^c =b

5^3 = x

125 =x

8 0

3 years ago

Read 2 more answers

Terrence made a scale drawing of an American football field on a large piece of cardboard. An actual field is

iogann1982 [59]

Answer:

20

9

23

Step-by-step explanation:

4 0

4 years ago

Please help me solve this correct answer gets brainlist

Inessa [10]

Answer:

12.449899598

Step-by-step explanation:

You would use pythagoras thereom.

C^2=A^2+B^2

The hypotenuse is C (which is the longest side of the triangle - 18).

18×18=13×13+B^2

324=169+B^2

324-169=B^2

155=B^2

Square root B to get B on it's own which would be 12.449899598.

7 0

2 years ago

Solve each system by elimination. Check the solution in both of the original equations.

elena55 [62]

Answer:

After finding the solution of given equations by elimination method

-3x-3y=12

-9x+3y=-24

we get the value of x=1 and y= -5

Step-by-step explanation:

$-3x-3y=12$ is eq A

$-9x+3y= -24$ is eq B

To find out value of x and y we will use elimination method

To find value of x add eq A and eq B

$(-3x-3y)+ (-9x+3y)= 12 + (-24)\\-3x-3y-9x+3y= 12-24\\-12x = -12\\dividing \,\,by -12\,\,on\,\, both\,\,sides\\\frac{-12x}{-12} = \frac{-12}{-12} \\x= 1$

Now to find value of y put x=1 in eq A

$(-3 \times 1 )- 3 y=12\\-3 -3y =12\\\\adding\,\,3\,\,on\,\, both\,\,sides\\-3y=12+3\\\\dividing\,\,-3\,\,on\,\,both\,\,sides\\y= \frac{15}{-3} \\y= -5$

so the value of

x= 1

and

y= -5

For checking the solution

putting value of x and y in eq A

$-3x-3y=12\\-3(1)-3 (-5)=12\\-3+15=12\\12=12\\$

Hence proved

Putiing value of x and y in eq B

$-9x+3y= -24\\-9(1) + 3 (-5) = -24\\-9 -15 = -24\\-24= -24\\$

Hence proved

Keywords: Solving Linear System

Learn more about Solving Linear System at: brainly.com/question/9045597
brainly.com/question/3739260
brainly.com/question/13168205

#learnwithBrainly

6 0

4 years ago

the\ function\ h\left(x\right)=\frac{1}{2}\left(x+3\right)^{2}+2.How\ is\ the\ graph\ of\ h\left(x\right)\ t\ r\ a\ nslated\ \ f

Feliz [49]

The function h(x) is vertically stretched by a factor of $\frac{1}{2}$ and is shifted 3 units to the left and shifted 2 units up.

Explanation:

The parent function is $f(x)=x^{2}$

The translated function is $h(x)=\frac{1}{2}(x+3)^{2}+2$

By using the function transformation rules, the translated function h(x) is stretched vertically by a factor of $\frac{1}{2}$

Also, from the function transformation rules, we know that, $f(x+b)$ shifts the function b units to the left.

Thus, the translated function h(x) is shifted 3 units to the left.

By using the function transformation rules, we know that, $f(x)+b$ shifts the function b units upward.

Thus, the translated function h(x) is shifted 2 units upwards.

Thus, the translated function h(x) is vertically stretched by a factor of $\frac{1}{2}$ and is shifted 3 units to the left and shifted 2 units up.

8 0

4 years ago