f(x) = 3x^2+1

1. f(-2) =

Answer:

Step-by-step explanation: The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept.

Answer:

67 1/2 cm

Step-by-step explanation:

v=lxwxh

v=4 1/2x 6x 2 1/2

v=67 1/2 cm^3

Volume of rectangular prism is given by:

‎ㅤ‎ㅤ‎ㅤ➙ V = l × b × h

Here, we have :

Therefore, volume:

[tex] \implies\quad \tt {V =l\times b\times h }[/tex]

[tex] \implies\quad \tt { V =6\times 2\dfrac{1}{2}\times 4\dfrac{1}{2}}[/tex]

[tex] \implies\quad \small{\tt { V = 6\times \dfrac{(2\times 2)+1}{2}\times \dfrac{(4\times 2)+1}{2}}}[/tex]

[tex] \implies\quad \tt {V = 6\times \dfrac{4+1}{2}\times \dfrac{8+1}{2} }[/tex]

[tex] \implies\quad \tt {V =6\times \dfrac{5}{2}\times\dfrac{9}{2} }[/tex]

[tex] \implies\quad \tt {V =\dfrac{6\times 5\times 9}{2\times 2} }[/tex]

[tex] \implies\quad \tt { V =\cancel{\dfrac{270}{4}}}[/tex]

[tex] \implies\quad \tt { V = \dfrac{135}{2}}[/tex]

[tex] \implies\quad \underline{\underline{\pmb{\tt { V = 67\dfrac{1}{2}\:cm^2}}}}[/tex]

Answer: 15.7

Step-by-step explanation:

can i have a burger?

Answer:

78.5

Step-by-step explanation:

Area = [tex]31.4*5^{2}[/tex]

Answer:

it is 28

Step-by-step explanation:

all you have to do is find what 5 squared is, which its 25 then add 3 which gives you 28, hope this helps

Answer:

28

Step-by-step explanation:

(5^2)+3

25 + 3

28

Answer: Minimum; -3

Step-by-step explanation:

I found the answer by entering it into Desmos Graphing Calculator and then looking at the point of the vertex, which in this case would be (9,-3).

You could also find the x-intercepts, (p,0) and (q,0), using the quadratic formula and then plug them into the equation: x=p+q/2  which will give you your axis of symmetry, or your x value in your vertex. Then, plug that number into your equation. You can plug it into the equation you posted here or the equation of your x-intercepts. (x-p) (x-q) Keep in mind that the minus refers to you putting the opposite of your x-intercept. For example, if your x-intercept was 4, then you would have -4 in the equation.

Answer:

Width: 1694 cm or 16.94 m

Length: 1706 cm or 17.06 m

Step-by-step explanation:

1. Write out the known equations:

First, the equation for the perimeter of a rectangle:

[tex]Perimeter = 2(Width) + 2(Length)[/tex]

We also know that the rectangle is 12 cm longer than it is wide. This leads to the second equation:

[tex]Length=Width+12[/tex]

2. Solve the system of equations for width:

Since we know the length in terms of width, and we know the perimeter, we can plug these values into the equation for the perimeter. First, let's rearrange the equation for perimeter to solve for width:

[tex]Perimeter = 2(Width) + 2(Length)\\Perimeter-2(Length)=2(Width)\\2(Width)=Perimeter-2(Length)\\Width=\frac{Perimeter-2(Length)}{2}[/tex]

Now, plug in the known values (since there are 100 cm in one metre, I'm multiplying the perimeter of 68 m by 100 to convert to centimetres--the perimeter of 68 m is equal to 6800 cm):

[tex]Width=\frac{6800-2(Width+12)}{2}[/tex]

Now, solve the equation for width:

[tex]Width=\frac{6800-2(Width+12)}{2}\\2(Width)=6800-2(Width+12)\\2(Width)=6800-2(Width)-24\\2(Width)+2(Width)=6800-24\\4(Width)=6800-24\\4(Width)=6776\\Width=1694cm[/tex]

3. Solve for length using width:

Now that we know the width, we can easily solve for the length using our previously established equation for length, [tex]Length=Width+12[/tex], as shown:

[tex]Length=Width+12\\Length=1694+12\\Length=1706cm[/tex]

4. Convert to metres.

If you want to know the answer in metres, you can convert from centimetres by dividing by 100:

1694/100 = 16.94 m

1706/100 = 17.06 m

Answer:

y = -3x + 2

Step-by-step explanation:

First we find the slope:

(11 - (-4)) / (-3 - 2) = 15/-5 or  -3

Now we use this formula and solve for y to get slope-intercept form

y - y1 = m(x - x1)

y - (-4) = -3(x - 2)

y + 4 = -3x + 6

y = -3x + 2

The monthly payment for a $6,000 four-year loan with an APR of

8.50% is $244.04

The formula for calculating compound interest is expressed as:

A = P(1+r)^n

A = 6000(1+0.085)^4
A = 6000(1.95236)
A = 11,714.15

Hence the amount of the loan is 11,714.15

Monthly payment =11,714.15 /48
Monthly payment = 244.04

Hence the monthly payment for a $6,000 four-year loan with an APR of

8.50% is $244.04

Learn mor on compound interest here: https://brainly.com/question/24924853

Answer:

y=(1/2)x +0

Step-by-step explanation:

The perpendicular slope formula is just the opposite reciprocal of the original slope.

2,000,000+700,000+11,000+1,000+700+80+3

Answer:

A

Step-by-step explanation:

6x - 5 > - 29 ( add 5 to both sides )

6x > - 24 ( divide both sides by 6 )

x > - 4 → A

We are given with a inequality and we have to find the solution for it . So , let's start :

[tex]{:\implies \quad \sf 6x-5\> -29}[/tex]

Adding 5 to both sides :

[tex]{:\implies \quad \sf 6x-\cancel{5}+\cancel{5}\>-29+5}[/tex]

[tex]{:\implies \quad \sf 6x\> -24}[/tex]

Dividing both sides by 6 ;

[tex]{:\implies \quad \sf \dfrac{\cancel{6}\cdot x}{\cancel{6}}\> -\dfrac{24}{6}}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{x \> -4}}}[/tex]

Hence , Option A) x > - 4 is correct :D

Whenever dividing or multiplying an inequality by a -ve , so we have to tilt the sign too , while if we are multiplying or dividing with a +ve , so sign will remain the same , For example like if we are given with x > y , and we multiply both sides by -1 . So , it will then become - x < - y

Answer:

bestie theres no question

Step-by-step explanation:

Answer:

Where's the questions

Step-by-step explanation:

(Sorry I'm late)

The capacity of the square base can is 5 x 5 x 14 (bottom face area x height) = 350 (cm3).

The capacity of the circular base can is 3.5 x 3.5 x pi x 12 = 461.814120078.. (round to 462)

So, the circular base can has a greater capacity and by 462-350 = 112 cm3

Answer:

7.752

Step-by-step explanation:

Well since the both have the same amount of didgets you can just line up like if it were adding thousands.

                  5. 1 2 8

                  2. 6 2 4

                 _________

So were going to add 8 + 4=12

Then so since it was 12 were just going to put 2 and then add a 1 to out result for 2 + 2

2 + 2=4+ the 1 we have to add since our last question was 10 and above so our answer is 5

Next add 6 + 1=7

Now our last step is to add 5 + 2 which=7

So you answer should look like this.

_________

7. 7 5 2

hope this helps have a great day:)

Answer:

Step-by-step explanation:

(-4,8) & ( -4,2)

[tex]Midpoint=\left(\dfrac{x_{1}+x_{2}}{2},\dfrac{y_{1}+y_{2}}{2} \right)\\\\\\=\left(\dfrac{-4-4}{2},\dfrac{8+2}{2}\right)\\\\\\=\left(\dfrac{-8}{2},\dfrac{10}{2} \right)[/tex]

= (-4,5)

Answer:

Answer:

248

Step-by-step explanation:

Answer:
Slope is 3/2
y-intercept is (0,-45)

The equation which is used to determine the approximate current value of the car by the depreciation equation is,

[tex]y=25000(0.89)^6[/tex]

Depreciation is to decrease in the value of a product in a period of time. This can be given as,

[tex]y=A\left(1-{r}\right)^t[/tex]

Here,(y) is the current value, (A) is the original cost of the product, (r) is the rate of depreciation and (t) is the number of years.

Now the car was purchased 6 years ago. The original cost of the car is $25,000 and the annual depreciation rate is 11%.
The rate can be given as,

[tex]r=\dfrac{11}{100}\\r=0.11[/tex]

Thus, to find the equation can be used to determine the approximate current value of the car, put the values in the above formula as,

[tex]y=(25000)\left(1-{0.11}\right)^6\\y=25000(0.89)^6[/tex]

Hence, the equation which is used to determine the approximate current value of the car by the depreciation equation is,

[tex]y=25000(0.89)^6[/tex]

Learn more about the depreciation here;

https://brainly.com/question/25297296

Answer:

A

Step-by-step explanation:

y=25,000(0.89)^6

Step-by-step explanation:

How to solve for x?

Eliminate -(9/2) to find out the value of x.

Add 9/2 to both sides of the equation:

[tex]x = - 7.5[/tex]

Answer

[tex]x=[/tex] [tex]-7.5[/tex]

Step-by-step explanation:

[tex]x -\frac{9}{2} = -12[/tex]

[tex]x -\frac{9}{2} + \frac{9}{2} = -12 + \frac{9}{2}[/tex]  (add [tex]\frac{9}{2}[/tex] to both sides)

[tex]x = -\frac{15}{2}[/tex]

[tex]-\frac{15}{2} =[/tex] [tex]-7.5[/tex]

[tex]x=[/tex] [tex]-7.5[/tex]

The algebraic expression  3r+2p   represents the total amount of money Sophia will spend on flowers if she buys any number of roses and tulips.

Sophia will spend a total of $29 on flowers if she buys 7 roses and 4 tulips.

======================================================

Explanation:

r = number of roses

p = number of tulips

3r = cost of all the roses only ($3 each)

2p = cost of all the tulips only ($2 each)

3r+2p = total cost of all the flowers mentioned, both types

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

To find the total cost Sophia spends on 7 roses and 4 tulips, we plug in r = 7 and p = 4.

3r+2p = 3*7+2*4 = 21+8 = 29

Sophia would spend $29 if she bought 7 roses and 4 tulips.

The 3*7 = 21 part is the cost for the roses only.

The 2*4 = 8 part is the cost of the tulips only

The sum of which is the total cost for both types of flowers.

The formula or equation which represent the graphed line with point (1,2) (4,4) and slope 2/3 are,

[tex](y-2)=\dfrac{2}{3}(x-1)\\[/tex]

[tex](y-4)=\dfrac{2}{3}(x-4)\\[/tex]

The equation of a graphed line is a way to represent the line which lies on a point on the xy-coordinated with and informed about the steepness and the direction of the line.

The standard form of the equation of a graphed line can be given as,

[tex]y=mx+c[/tex]

Here, (c) is the y intercept of the line and (m) is the slope of the line.

Here, the slope of the graphed line is 2/3. The graph for this problem is attached below.

The two point in the graph below are (1,2) and (4,4). Then the equation of the line, for this two points with slope 2/3 can be given as,

[tex](y-2)=\dfrac{2}{3}(x-1)\\[/tex]

Using the points (4,4), we get,

[tex](y-4)=\dfrac{2}{3}(x-4)\\[/tex]

Thus, the formula or equation which represent the graphed line with point (1,2) (4,4) and slope 2/3 are,

[tex](y-2)=\dfrac{2}{3}(x-1)\\[/tex]

[tex](y-4)=\dfrac{2}{3}(x-4)\\[/tex]

Learn more about the equation of a line here;

https://brainly.com/question/18831322

Answer:

its b,c,e

Step-by-step explanation:

got it right on edge

Answer:

The answer is A.

As seen in my graph the purple line is exactly like the line in the picture and it uses the first equation or A.)

Step-by-step explanation:

Hope this helped.

A brainliest is always appreciated.

tis always a good idea when factoring to start off with a quick prime factoring.

[tex]\begin{array}{llll} 52&=&2\cdot 2\cdot 13\\\\ 77&=&\boxed{7}\cdot 11\\\\ 91&=&\boxed{7}\cdot 13\\\\ 124&=&2\cdot 2\cdot 31\\\\ 217&=&\boxed{7}\cdot 31 \end{array}[/tex]

[tex]\fbox{Hi\:there!\:Let\:me\:help\:you!}[/tex]

[tex]\mathbb{HOPE\:IT\:HELPS!}[/tex]

~Stargazing~

Answer:

She would get $80 dollars in 10 weeks

Step-by-step explanation:

[tex]already \: has \: 20 \\ saving \: 6 \: per \: week \\ in \: 10 \: week \\ = 6 \times 10 + 20 \\ = 60 + 20 \\ = 80[/tex]

Answer:

6 dollars a week for every week she saved.

She already has 20 dollars so 10 weeks would be

20 +  10*6 = 10 weeks of saving

20+60=80

$80 would be saved up after 10 weeks.

Expression, 6 dollars a week which would be if weeks was represented by “w”. Since she already has 20 dollars, thats a base.

20 + 6w