What is the exact value of x?<br><br> 5⋅21^5x = 16

Please I really need help on this thank you.

4vir4ik [10]

(a)

slope of f(x):

We can select any two points to find slope

(0,-3) and (1,0)

now, we can use slope formula

$m=\frac{y_2-y_1}{x_2-x_1}$

now, we can plug values

$m=\frac{0+3}{1-0}$

$m=3$

slope of g(x):

$g(x)=4x-5$

we can compare it with slope intercept form of line

$g(x)=mx+b$

we get

$m=4$

so, we can see that slope of f(x) is 3 while slope of g(x) is 4

so, slope of g(x) is greater than slope of f(x)

(b)

y-intercept of f(x):

we know that y-intercept is value of y when x=0

we are given point (0,-3)

so, y-intercept is -3

y-intercept of g(x):

we know that y-intercept is value of y when x=0

so, we can plug x=0 and find y

$g(0)=4*0-5$

$y=-5$

so, y-intercept is -5

Since, -3 is greater than -5

Hence , y-intercept of f(x) has greater value.........Answer

3 0

3 years ago

Sam and Bobby want to know who cycled faster. The table shows the total miles Sam traveled over time. The graph shows the same r

tigry1 [53]

Answer:

<h2>Sam cycled fast, at a rate of 10 miles per hour.</h2>

Step-by-step explanation:

To solve this problem we have to find the slope of each case. The definition of a slope is:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\$

Where $(x_{1};y_{1})$ is the first point, and $(x_{2};y_{2})$ is the second point.

Let's find each slope.

Let's use the points $(2;20)$ and $(5;50)$

Applying the definition of the slope, we have:

$m_{sam} =\frac{50-20}{5-2}=\frac{30 \ miles}{3 \ hour}=10 \ miles/hour$

This relation means that Sam cycled 10 miles per hour.

<h3>Bobby.</h3>

Let's use the points $(2;18)$ and $(6;54)$

$m=\frac{54-18}{6-2}=\frac{36 \ miles}{4 \ hour}=9 \ miles/hour$

Bobby cycled 9 miles per hour.

Therefore, according to these ratios, Sam cycled fast, at a rate of 10 miles per hour.

7 0

3 years ago

Question on Pic Thank You!!!

Bess [88]

A) >
B) =
C) >

Hope this helps!!
Also please could I have brainly?!

6 0

2 years ago

Read 2 more answers

Express 233 base four<br>as a base six.

ahrayia [7]

Answer:

twenty one

Step-by-step explanation:

hhdhhdiejdihgeideseheeeiidgriuduurhidid

3 0

3 years ago

At Taco Bell, I made a large purchase of 13 items that cost a total of $28.17. If Chicken Burritos cost $1.89 each and a Cheesy

Sonja [21]

Answer:

Number of Chicken Burritos purchased=7

Number of Cheesy Gordita Crunch purchased=6

Step-by-step explanation:

Let x be the number of Chicken Burritos and y be the number of Cheesy Gordita Crunch.

Total number items purchased=13

Total cost of 13 items=$28.17

Cost of each Chicken Burritos=$1.89

Cost of each Cheesy Gordita Crunch=$2.49

We have to find number of each items purchased.

According to question

$x+y=13$ .....(1)

$1.89x+2.49y=28.17$ ...(2)

Equation (1) multiply by 2.49 and then subtract equation (2) from (1)

$0.6x=4.2$

$x=\frac{4.2}{0.6}$

x=7

Substitute x=7 in equation (1)

$7+y=13$

$y=13-7=6$

Number of Chicken Burritos purchased=7

Number of Cheesy Gordita Crunch purchased=6

6 0

3 years ago

What is the exact value of x? 5⋅21^5x = 16