Can you help me please

Answer:

(-6,2)

Step-by-step explanation:

[tex]f(x)<0[/tex]

We are given [tex]f(x)=x^2+4x-12[/tex].

So we need to solve:

[tex]x^2+4x-12<0[/tex]

First let's find when the expression on the left is 0.

[tex]x^2+4x-12=0[/tex].

The expression on the left is factorable.

Given the coefficient of [tex]x^2[/tex] is 1, all we have to do is see if there are two numbers that multiply to be -12 and add to be 4.

Those numbers are 6 and -2 so the factored form is:

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

So the solutions can be found be solving the following linear equations:

[tex]x+6=0[/tex] and [tex]x-2=0[/tex].

First equation, you just need to subtract 6 on both sides. [tex]x=-6[/tex]

Second equation, you just need to add 2 on both sides. [tex]x=2[/tex]

So draw a number line with those on it and test the intervals they divide.

--------(-6)--------(2)----------

So we need to test three intervals.

*Plug in a number before -6 to see if that piece of the function is above the x-axis or below. We are looking for below since we want [tex]f(x)<0[/tex].

Let's plug in x=-8

[tex]f(x)=(x+6)(x-2)[/tex] or use [tex]f(x)=x^2+4x-12[/tex].

[tex]f(-8)=(-8+6)(-8-2)[/tex]

[tex]f(-8)=(-2)(-10)[/tex]

[tex]f(-8)=20[/tex] so this piece is above since 20 is positive and not negative.

So we will not include this interval in our answer.

*Plug in a number between -6 and 2 like 0.

[tex]f(x)=(x+6)(x-2)[/tex]

[tex]f(0)=(0+6)(0-2)[/tex]

[tex]f(0)=(6)(-2)[/tex]

[tex]f(0)=-12[/tex] so this piece is under since -12 is negative and not positive.

So our solution includes the interval (-6,2).

*Plug in a number after 2 like 5.

[tex]f(x)=(x+6)(x-2)[/tex]

[tex]f(5)=(5+6)(5-2)[/tex]

[tex]f(5)=(11)(3)[/tex]

[tex]f(5)=33[/tex] so this piece is above since 33 is positive and not negative.

The answer only includes the interval (-6,2).

Answer:

3.5355 inches

Step-by-step explanation:

Area should be same the concentric circle and rest piece .

let's consider the radius of concentric circle as r

so it's area is π r²

area of whole circle is π (5)" ( because diameter is 10 inches)

so the area of rest piece is π (5)² - π r²

π (5)² - π r² = π r²

5² = 2r²

r² = 25/2

r = √(25/2)

r = 3.5355 inches

Answer:

rational

Step-by-step explanation:

can you make the answer into a fraction or decimal yes you get 4.77

Answer:

the answer is rational

Example:

Answer:

97 degrees

Step-by-step explanation:

If 45 + 38 = 83

A triangle is 180 always

so 180-83=97

Answer:

A) 12x-4y

Step-by-step explanation:

Since a square has a perimeter of P=4s, then P=4(3x-y)=12x-4y, therefore A is the correct option.

Answer:

15

Step-by-step explanation:

-3 x -5 = 15

Answer:

C. 4 ft x 6 ft

Step-by-step explanation:

May I have brainliest please? :)

If 0.5cm = 6 inches you can just double the number you have then multiply that by 6

4cm = 48cm which is 1.5748 feet

6cm =

Answer:

D

Step-by-step explanation:

0.5cm - 6ft

1cm=12ft

2cm= 24

3cm= 36

4cm = 48

5cm= 60

6cm = 72

48 divided by 6 is 8

72 divided by 6 is 12

Answer :

The Answer Is 300 Miles In 5 Hours

Answer:

300 miles i think

Step-by-step explanation:

120 times 2.5 bc 2 times 2.5=5

120 times 2.5 is 300

Answer:

x = 5

Step-by-step explanation:

4(x-1)/8 = 2(x+2)/7

7*4(x-1) = 8*2(x+2)

28(x-1) = 16(x+2)

28*x + 28*-1 = 16*x + 16*2

28x - 28 = 16x + 32

28x - 16x = 32 + 28

12x = 60

x = 60/12

x = 5

Check:

4(5-1)/8 = 2(5+2)/7

4*4/8 = 2*7/7

16/8 = 2*1 = 2

Answer:

AB + BC + CA

Step-by-step explanation:

12b-8 + 12b- 8 + 9b+8

33b - 8

Answer:

Cellular respiration is this process in which oxygen and glucose are used to create ATP, carbon dioxide, and water. ATP, carbon dioxide, and water are all products of this process because they are what is created.

Step-by-step explanation:

Answer:

x= -1

Step-by-step explanation:

2(x -5) -6 = -18

2x -10 -6 =-18

2x -10 -6 =-18

2x -16 = -18

2x =16 += -18

2x -16 +16 = -18 +16

2x = -2

2x/2 = -2/2

x=-1

x = -1

Answer:

Hello your question is incomplete attached below  is the complete question

Answer : The shape of the fence will be a circle

              dimensions of the fence are : radius = 6.5 meters

Step-by-step explanation:

First we calculate the length of the different arms

AB = [tex]\sqrt{(-2+6)^2 + (-3+1)^2}[/tex]

     ≈ 4.47

CD = [tex]\sqrt{(5-3)^2 + (0-4)^2}[/tex]

     ≈ 4.47

Next we calculate the midpoint of these two arms

M1 = [tex]( \frac{-6-2}{2} , \frac{-1-3}{2} )[/tex] = ( -4, -2 )

M2 = [tex]( \frac{3+5}{2} , \frac{0+4}{2} )[/tex]  = ( 4,2 )

hence midpoint of M1,M2 =( M ) = ( 0,0 )

finally considering M calculate the distance between M and car B,D

MB = [tex]\sqrt{(0+2)^2 + (0+3)^2}[/tex]  = 3.60

MD = [tex]\sqrt{(0-5)^2 + (0)^2}[/tex]  = 5

therefore the radius of the fence will be

= 5 + 1.5 = 6.5 meters ( because MD > MB )

The +7 at the end effectively adds 7 to each y coordinate output, which is why the entire graph shifts up 7 units. For instance, a point like (1,2) moves to (1,9) after shifting up 7 units.

Side note: The function f(x)=⌈x⌉ is the ceiling function. It takes any decimal value and rounds it up to the nearest whole number. If you had an input like x = 2.01 then the output would be y = 3 even though 2.01 is closer to 2 than it is to 3.

Answer: A) shift up 7 units

Step-by-step explanation:

The +7 at the end effectively adds 7 to each y coordinate output, which is why the entire graph shifts up 7 units. For instance, a point like (1,2) moves to (1,9) after shifting up 7 units.

Side note: The function f(x)=⌈x⌉ is the ceiling function. It takes any decimal value and rounds it up to the nearest whole number. If you had an input like x = 2.01 then the output would be y = 3 even though 2.01 is closer to 2 than it is to 3.

Answer:

4,-4

Step-by-step explanation:

[tex]\sqrt16=4\\\sqrt16=-4.\\[/tex]

Both are possible. Hope this helps and if you can, hit the crown ;D

Answer:

The slope is -3/2

Step-by-step explanation:

Hope this helped have a good day!

Answer:

202.50

Step-by-step explanation:

Answer:

£202.50

Step-by-step explanation:

£180 by 12.5 % is £180+ (£180*12.5) which is 202.50.

Hope this helps :D

Answer:

1,123.30

Step-by-step explanation:

first of all, you are decreasing 1015 by 6 percent so it will be

1015 * 0.93 because you are decreasing it from the percentage

then, you are increasing it by 19 percent so you mulitply what you got on the previous calculation and multiply it by 1.19

943.95 * 1.19

and answer will be 1,123.30

Answer:

y= 8x +9

Step-by-step explanation:

Slope-intercept form:

y= mx +c, where m is the slope and c is the y-intercept.

Given that the slope is 8, m= 8.

Substitute m= 8 into the equation:

y= 8x +c

Given that the y-intercept is 9, c= 9.

Substitute c= 9 into the equation:

y= 8x +9

Thus, the equation of the line is y= 8x +9.

Answer:

The last choice

Step-by-step explanation:

So, - 5 1/2 is negative so it's on the left side of 0. 2 is a positive number so it's on the right side of the 0.

The last choice shows one blue dot on -5 1/2 and the other on 2, so it is correct

Answer:

[tex]b=52[/tex]

Step-by-step explanation:

[tex]16+36=b[/tex]

[tex]Switch\:sides[/tex]

[tex]\mathrm{Add\:the\:numbers:}\:16+36=52[/tex]

[tex]b=52[/tex]

Answer:

[tex]f(n) = 15 + (n + 1)[/tex]

Step-by-step explanation:

Tina earns $15 every week when she mows the lawn.

We would put $15 because she earns $15 every week.

She earns 15 every week, so we would put (n + 1).

Our final answer would be [tex]f(n) = 15 + (n + 1)[/tex]

Answer:

The explicit rule is:

[tex]f(n)=60+15(n-1)[/tex]

After 15 week, Tina will have $270 in her savings account.

Step-by-step explanation:

Let’s write down our sequence so we can see it better.

For the first week (i.e. the first term), Tina has $60.

For the second week (i.e. the second term), Tina has $75.

And for the 3rd, 4th, 5th, and 6th week, Tina has $90, $105, $120, and $135, respectively.

Therefore, we can write the following sequence:

60, 75, 90, 105, 120, 135...

Note that our initial term a is 60.

And our common diffference will be 15.

Let’s find the explicit rule. The standard format for an explicit rule is:

[tex]f(n)=a+d(n-1)[/tex]

Where a is the initial term and d is the common difference.

Let’s substitute 60 for a and 15 for d. Hence, our explicit formula is:

[tex]f(n)=60+15(n-1)[/tex]

So, to find the amount Tina will have in her savings account in 15 weeks, we will substitute 15 for n and evaluate. So:

[tex]f(15)=60+15(15-1)[/tex]

Evaluate:

[tex]\begin{aligned} f(15)&=60+15(14) \\ f(15)&=60+210 \\ f(15)&=270 \end{aligned}[/tex]

Hence, after 15 weeks, Tina would have $270 in her savings account.

Answer:

Step-by-step explanation:

Given that:

cos(x) = x³

f(x) = cos (x) - x³

f(x) is continuous on the interval (0, 1)

when;

f(0) = cos (0) - (0)

f(0) = 1 - 0

f(0) = 1 > 0

f(1)  = cos (1) - 1³

f(1) = 0.5403 - 1

f(1) = -0.4597

f(1) = - 0.46

f(1) = - 0.46 < 0

Since, 1 > 0 > -0.46, thus there is a number ''c" in (0,1)

such that f(c) = 0

By applying the Intermediate Value Theorem, there is a root of the equation in the interval (0,1)

b) Given that:

The interval length = 0.01; this implies that it is 0.005 length from its root.

f(0.865) = 0.0014

f(0.87) = - 0.013

The solution to the interval lies between 0.865 , 0.87 by using a calculator at length 0.01.

Answer:

B. 6

Step-by-step explanation:

50 times 3/5 = 150/5 = 30

30 times 4/5 = 120/5 = 24

24 times 1/4 = 24/4 = 6

Answer:

Step-by-step explanation:

a. $7.

b. $1x.

c. $20.

d. $5y.

e. $1x + $5y.

I hope this helps, sorry if I am incorrect. Have a nice day!