from 8 abc subtract abc. from 8 abc subtract 8

Answer: Yes, (x+4) is a factor of the given polynomial.

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Explanation:

We can use the remainder theorem here.

Consider any polynomial p(x). The binomial x-k will be a factor of p(x) if and only if p(k) = 0. I'm using the special case of the remainder theorem, where we look for a remainder of 0.

The binomial x+4 is the same as x-(-4). Compare this to x-k to see that k = -4.

Then plug this k value into the p(x) polynomial given

p(x) = 2x^3 + 16x^2 + 22x - 40

p(-4) = 2(-4)^3 + 16(-4)^2 + 22(-4) - 40

p(-4) = 2(-64) + 16(16) + 22(-4) - 40

p(-4) = -128 + 256 - 88 - 40

p(-4) = 0

This shows that dividing p(x) = 2x^3 + 16x^2 + 22x - 40 over x+4 leads to a remainder of 0. Therefore, (x+4) is a factor of p(x).

Answer: a) 191200 b) 557.67 c) 562.98

Step-by-step explanation:

a) 239000 times .8 (aka 80%) = 191200

b) 191200/(12 times 30) = 531.11

531.11 times 1.05 (5%) = 557.667

Round to nearest cent: 557.67

c) 191200/(12 times 30) = 531.11

531.11 times 1.06 (6%) = 562.978

Round to nearest cent: 562.98

Answer:

7

Step-by-step explanation:

sing the equation         >    A  =  Pe^rt

20000  =    10000e^0.1t    >       10%  =  0.1

2  = e^0.1t

log 2  =    log e^0.1t               >     log to the base e

log 2  =  0.1t * 1              log e to the base e  =1

0.6931 = 0.1t

t =   6.931

  =    7 years

Hope this helps <3

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Answer:

25% and 75%

Step-by-step explanation:

15+45=60

girl =  [tex]\frac{15}{60} *100[/tex] = 25%

boy = [tex]\frac{45}{60} *100[/tex] = 75%

Answer:

2nd one

Step-by-step explanation:

as it is a negative number so the point on the number line should move backwards

Answer:             y=x3+2x2−130

Step-by-step explanation:

Hope this helps!

Answer: x= 1, [tex]\frac{1}{5\\}[/tex]

Step-by-step explanation:

The quadratic equation is

[tex]x=\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]

and

[tex]x=\frac{-b-\sqrt{b^{2}-4ac } }{2a}[/tex]

So we just need to sub in the proper numbers from the equation given, in this case, it would result in

[tex]x=\frac{6+\sqrt{(-6)^{2}-4(5)(1) } }{2(5)}[/tex]

and

[tex]x=\frac{6-\sqrt{(-6)^{2}-4(5)(1) } }{2(5)}[/tex]

Once we get this we can either manually simplify or use a calculator, using a calculator would result in the answers

x= 1, [tex]\frac{1}{5\\}[/tex]

Step-by-step explanation:

Root:(1/2, 0)

Domain: x∈R

Range: y∈R

Vertical intercept: (0, 1)

Step-by-step explanation:

11.

[tex] \frac{x - 4}{ \frac{x}{4} - \frac{4}{x} } [/tex]

[tex] \frac{x - 4}{ \frac{ {x}^{2} }{4x} - \frac{16}{4x} } [/tex]

[tex] \frac{x - 4}{ \frac{ {x}^{2} - 16 }{4x} } [/tex]

[tex] \frac{x - 4}{ \frac{(x + 4)(x - 4)}{4x} } [/tex]

[tex] \frac{4x}{x + 4} [/tex]

12.

[tex] \frac{ \frac{ {x}^{2} - 1 }{x} }{ \frac{(x - 1) {}^{2} }{x} } [/tex]

[tex] \frac{ {x}^{3} - x}{ {x}^{3} - 2 {x}^{2} + x } [/tex]

[tex] \frac{x( {x} - 1)(x + 1) }{x( {x} - 1) {}(x - 1) } [/tex]

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

13.

[tex] \frac{ \frac{ {t}^{2} }{ \sqrt{ {t}^{2} + 1} } - \sqrt{ {t}^{2} + 1} }{ {t}^{2} } [/tex]

[tex] \frac{ \frac{ {t}^{2} }{ \sqrt{ {t}^{2} + 1 } } - \frac{ {t}^{2} + 1}{ \sqrt{ {t}^{2} + 1 } } }{ {t}^{2} } [/tex]

[tex] \frac{ \frac{1}{ \sqrt{ {t}^{2} + 1 } } }{ {t}^{2} } [/tex]

[tex] \frac{ - \frac{ \sqrt{ {t}^{2} + 1 } }{ {t}^{2} + 1 } }{ {t}^{2} } [/tex]

[tex] - \frac{ \sqrt{ {t}^{2} + 1} }{ {t}^{2}( {t}^{2} + 1) } [/tex]

14.

[tex] \frac{3x { }^{ \frac{1}{3} } - x {}^{ \frac{ - 2}{3} } }{3x {}^{ - \frac{2}{3} } } [/tex]

[tex] \frac{3x - 1}{3} [/tex]

Answer:

It takes 45 hours for the bacteria to triple the initial amount

Answer:

45 HOURS IS CORRECT

Step-by-step explanation:

[tex]\\ \sf\longmapsto B^2=H^2-P^2[/tex]

[tex]\\ \sf\longmapsto B^2=45^2-27^2[/tex]

[tex]\\ \sf\longmapsto B^2=2025-729[/tex]

[tex]\\ \sf\longmapsto B^2=1296[/tex]

[tex]\\ \sf\longmapsto B=\sqrt{1296}[/tex]

[tex]\\ \sf\longmapsto B=36[/tex]

Answer:

[tex]\displaystyle 36 = b[/tex]

Step-by-step explanation:

The scale factour is [tex]\displaystyle 4\frac{1}{2},[/tex]so multiply 8 by 4½:

[tex]\displaystyle 36 = [4\frac{1}{2}][8][/tex]

Now, the way you can tell that this is the scale factour is by our MAGIC NUMBER, 10. If you divide both hypotenuses, you will get 4½:

[tex]\displaystyle 4\frac{1}{2} = 45 \div 10[/tex]

From here, you already know you must multiply 8 by this scale factour.

I am delighted to assist you at any time.

Step-by-step explanation:

Formula for finding midpoint of a line segment :

[tex] (\frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]

you should have both the points of line segment.Just subtitute points in the formula and determine mid points.

Note: if you have any question about it you can freely ask. Thanks

Answer: give me brainliest

Step-by-step explanation:

ax+by=a-b

ax=a-b-by

x=a-b-by/a←

bx-ay=a+b

substituting

b(a-b-by/a)-ay=a+b

ab-b²-b²y/a-ay=a+b

ab-b²-b²y-a²y/a=a+b

ab-b²-(b²+a²)y=a²+ab

-(b²+a²)y=a²+ab-ab+b²

(b²+a²)y=-(a²+b²)

y=-(a²+b²)/a²+b²

y=-1←

substituting value of y

x=a-b-b(-1)/a

x=a-b+b/a

x=a/a

x=1

Hey there!

The formula to find the perimeter of a rectangle is "P=2(l+w)".

Hope this helps!

Have a great day! :)

Answer:

formula to find the perimeter of rectangle is

hope it helps

stay safe healthy and happy.

The solution is : Option A is correct; Point Q is outside circle W

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. The perimeter around the circle is known as the circumference.

here, we have,

If the circle is given as having center W, this means  the radius starts from point W and ends at any point on the circumference.

The radius has been given as 5 units, and this also means any measurement from point W to the circumference is either equal to or less than the radius which is 5 units.

Any measurement that is greater than 5 would be outside of the circumference.

we have,

Point Q is 6 units away from point W, therefore point Q is outside the circumference, that is, outside circle W.

Learn more about circle here:

brainly.com/question/11833983

#SPJ2

complete question:

Circle W has a center of point W and a radius of 5 units. Point Q is 6 units away from point W. Where is point Q?

A)outside circle W

B)inside circle W

C)on circle W

D)cannot be determined

Answer:



Step-by-step explanation:

Ans:15 lb

A 90-pound person will weigh 15lb as we weigh six times less on the moon than the earth. So to find out simply divide 90 by 6.

Answer:

The choose C.

I hope I helped you^_^

Answer:

a = 3 and b = 2

Step-by-step explanation:

From completion of squares:

[tex] {x}^{2} - 6x + 7 = 0 \\ \{ {x}^{2} - 6x + { (\frac{6}{2} )}^{2} \} + 7 - {( \frac{6}{2}) }^{2} = 0 \\ ( {x}^{2} - 6x + {3}^{2} ) = 2 \\ { \boxed {{(x - 3)}^{2} = 2}}[/tex]

a is 3

b is 2

Answer:

Answer B : a = 3 and b = 2

Step-by-step explanation:

Give man above brainlyiest he deserives it

Answer:

2? equation does not have a solution

Step-by-step explanation:

Answer:

below

Step-by-step explanation:

I'm not sure what variable you want to solve for but I'll solve for w and m if needed.

p = wm

~Divide w to both sides

p/w = m

p = wm

~Divide m to both sides

p/m = w

Best of Luck!

[tex]\\ \sf\longmapsto m<1+m<CUS=m<CUB[/tex]

[tex]\\ \sf\longmapsto m<1+48=78[/tex]

[tex]\\ \sf\longmapsto m<1=78-48[/tex]

[tex]\\ \sf\longmapsto m<1=30[/tex]

Answer:

it is a negative slope (going left), dashed and shaded left below the line - the points are not correct.

y<-2x+3/2

-2 = m and the y-intercept is 3/2

Step-by-step explanation:

Answer:

The second graph showing the y-intercept as 2 and the x-intercept as 1 with the left side of the line shaded in red. Ur welcome and have a nice day :3

Step-by-step explanation:

Answer:

[tex] \sin(45 ) = y \div 11 \sqrt{6} [/tex]

[tex] \frac{1}{ \sqrt{2} } = \frac{y}{11 \sqrt{6} } \\ \\ y = \frac{11 \sqrt{6} }{ \sqrt{2} } \\ y = 11 \sqrt{3} [/tex]

[tex] \tan(60) = \frac{x }{11 \sqrt{3} } \\ \\ \sqrt{3} = \frac{x}{11 \sqrt{3} } \\ x = \sqrt{3} \times 11 \sqrt{3} \\ x = 33[/tex]

9514 1404 393

Answer:

  (B)  Function 2

Step-by-step explanation:

We can compute the slope of Function 2 using the slope formula.

  m = (y2 -y1)/(x2 -x1) . . . . where x and y are the independent and dependent variables.

  m = (0.2 -0.8)/(3 -2) = -0.6

The slope of Function 1 is about ...

  -3/7 ≈ -0.43

The slope of Function 2 is more negative.

__

On a graph, the line representing function 2 has a steeper downward slope.

Answer:

20-(30-50)×10

20 - × - 20 ×10

20+20×10

20+200

220