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ryzh [129]
2 years ago
14

Algebra 7.5 factor the polynomial x^2+5x+4

Mathematics
1 answer:
sertanlavr [38]2 years ago
4 0

Answer:

( x + 4 ) ( x + 1 )

Step-by-step explanation:

x² + 5x + 4

= x² + 1x + 4x + 4

= x ( x + 1 ) + 4 ( x + 1 )

= ( x + 4 ) ( x + 1 )

Hence, factorised.

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Carry out the following operation as if it were a calculation of real experimental results. Express the answer in the correct un
Vladimir79 [104]

Answer:

a) 1.28

b) 2.57*10^-7 mg²

c) 8.14*10^7 dm

d) 3.79 m/s

e) 9.78*10^-3 mg

Step-by-step explanation:

a) 7.31 / 5.7 = 1.28, km/km is the same unit, so they cancel each other out. The answer is 1.28 without unit.

b) (3.26*10^-3) * (7.88*10^-5) = 2.57*10^-7 mg², here, mg * mg, this is mg²

c) (4.02*10^6) + (7.74*10^7) = 8.14*10^7 dm, here, the unit are added together, so we maintain it

d) (7.8 - 0.34) m / (1.15 + 0.82) m = 7.46 m / 1.97 m = 3.79 m/s, here, the numerator has the unit of m, and the denominator has the unit of s. Giving us m/s.

e) (9.88*10^-3) - (9.66*10^-5) = 9.78*10^-3 mg. Here, the unit was subtracted from each other, so we maintain it.

7 0
3 years ago
A factory has a linear cost function f(x)= ax+b , where b represents fixed costs and a represents the labor and material costs o
dalvyx [7]
The graph line will drop down by 12.  meaning your initial cost (without any labor and material costs) goes down by 12, since your unit is in thousands
3 0
3 years ago
What is the volume of a hollow ball whose other radius is 200m and inner radius of 100m? What is the mass if it is iron?
kati45 [8]

Solution :

Volume of ball = Volume of outer ball - Volume of inner ball

V = \dfrac{4\pi R^3}{3} - \dfrac{4 \pi r^3}{3}\\\\V = \dfrac{4\pi}{3}( R^3 - r^3 )\\\\V = \dfrac{4\pi}{3}( 200^3 - 100^3 )\\\\V = \dfrac{4\pi}{3}(2^3 - 1^3) \times 10^6\\\\V = 2.93 \times 10^7 \ m^3

Now, density of iron is, d = 7300 kg/m³.

So, mass of iron ball is :

m = d\times V\\\\m = 7300\times 2.93 \times 10^7 \ kg\\\\m =  2.14 \times 10^{11}\ kg

Hence, this is the required solution.

5 0
3 years ago
In the figure, angle D measures 31⁰ and angle A measures 27⁰
Zielflug [23.3K]

Answer:

1)B:63°

2)A:59°

Step-by-step explanation:

1.ABC is a right triangle at C then angle ACB=90°(right angle)

Angle CAB=27°(see the given)

measure of the angles in any triangle is 180°

then angle CBA=

measure of all the angles - (measure ACB+measure CAB)

=180°-(90°+27°)

=63°

2. Same explanation of angle B:

in the right triangle DEF: angle DEF=90°

angle D=31°(given)

Then measure of angle A=180°-(angle E + angle D)

=180-(90+31)=59°

3 0
3 years ago
Read 2 more answers
Which of the following is not a rate?
Anon25 [30]

Answer:

15 oz/ 1 lb

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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