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3 years ago

Is (x+1) a factor off (x)=x3+x2−4x−4? A) Yes B) No

Mathematics

2 answers:

Slav-nsk [51]3 years ago

5 0

Answer:

Yes

Step-by-step explanation:

If x + 1 is a factor, x = -1 has to be a root

(-1)³ + (-1)² - 4(-1) - 4

satela [25.4K]3 years ago

4 0

Remainder theorem again...

$p(x)=x^3+x^2-4x-4$

$p(-1)=(-1)^3+(-1)^2-4(-1)-4=0$

So Yes, $x+1$ is a factor.

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A colony of 85 bacteria doubles in size every 126 minutes. What will the population be 378

SVETLANKA909090 [29]

Answer:

680 Bacteria

Step-by-step explanation:

378 is evenly divisible by 126, which is equal to 3.

The first 126 minutes, the 85 bacteria will double to 170 bacteria.

The second 126 minutes (252 minutes total), the 170 bacteria will double to 340 bacteria.

The final 126 minutes (378 minutes total), the 340 bacteria will double to 680 bacteria total.

If this helped, a brainliest would be greatly appreciated!

6 0

2 years ago

Read 2 more answers

Consider the graph f(x)=3 to the power of x. describe how to graph the transformation f(x-3)+2

Assoli18 [71]

Answer:

shift the graph horizontally to the right for 3 units and then shift vertically up 2 units

Step-by-step explanation:

f(x) = x³ vs f(x-3)+2

f(x-3) will shift the graph horizontally to the right for 3 units

+2: will shift vertically up 2 units

3 0

2 years ago

the formula y-y1 =m(x-x1) is the pot slope form of the equation of a line where m is the slope of the line and(x,y) and (x1,y1)

oksano4ka [1.4K]

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~{{ 4}} &,&{{ -2}}~) 
% (c,d)
&&(~{{ 5}} &,&{{ 0}}~)
\end{array}
\\\\\\
% slope = m
slope = {{ m}}\implies 
\cfrac{\stackrel{rise}{{{ y_2}}-{{ y_1}}}}{\stackrel{run}{{{ x_2}}-{{ x_1}}}}\implies \cfrac{5-(-2)}{0-4}\implies \cfrac{5+2}{0-4}\implies -\cfrac{7}{4}$

$\bf \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-(-2)=-\cfrac{7}{4}(x-4)
\\\\\\
y+2=-\cfrac{7}{4}(x-4)\implies y+2=-\cfrac{7}{4}x+7\implies y=-\cfrac{7}{4}x+9$

6 0

3 years ago

Please answer this correctly without making mistakes

victus00 [196]

Answer:

Question 2

Step-by-step explanation:

2) The time when she woke up was - 3° C

During nature walk, temperature got 3° C warmer than when she woke up.

So, temperature during nature walk = - 3 + 3 = 0° C

3 0

2 years ago

"a man drove 10 mi directly east from his home, made a left turn at an intersection, and then traveled 5 mi north to his place o

Mariulka [41]

Answer:

11.2 miles

Step-by-step explanation:

We can create a triangle from the information given.

We can call the starting point (0,0) in the coordinate system.

10 mi east - 10 miles to the right. then,
5 mi north - 5 miles above

See the attached picture. The direct distance is labeled as x.

Now we need to find x using pythagorean theorem.

Pythagorean Theorem = leg²+leg²=hypotenuse²

Solving for x:

$10^2+5^2=x^2\\100+25=x^2\\125=x^2\\x=\sqrt{125}\\x=11.18$

Rounding to nearest tenth, we have 11.2 miles

6 0

2 years ago

Read 2 more answers