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2 years ago

Solve the equation by factoring. 3x^2 - 7x + 4 = 0

Mathematics

1 answer:

romanna [79]2 years ago

4 0

Answer: (x-4)(x-3). x final solutions are: 4 and 3. Explanation:
A=3
B=-7
C= 4
A times C is 12
Since B=-7, then we have to find two factors of twelve, that also add up to -7. those factors are -4 and -3.
then we plug -4 and -3 into the factored solution. so, (x=-4) (x=-3)
it always has to be equal to zero when we solve for the x’s and we solve one at a time
when you solve x-4=0 it gives you 4
and when you solve x-3=0 it gives you 3
Hope this helps!!

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What is a = 1/2 (b-c) if b is the subject

natulia [17]

Answer:

b = 2a + c

Step-by-step explanation:

Given

a = $\frac{1}{2}$ (b - c)

Multiply both sides by 2 to clear the fraction

2a = b - c ( add c to both sides )

2a + c = b

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3 years ago

At the bright-as-day light bulb factory, 5 out of each 136 bulbs produced are defective. If the daily production is 2720 bulbs,

lions [1.4K]

Answer:

100 lightbulbs

Step-by-step explanation:

Basically find the percentage of lightbulbs that are bad. 5/136. So about 3. 6 percent. I'm going to use a more exact form of this percent for my calculations though. Now use the decimal for of this (0.036....) and multiply it by 2720. Using my exact decimal, the answer just so happened to be exactly 100. So there will be 100 defective lightbulbs per day. (Teachers are a stickler for units, so don't forget them if it's for a teacher)

Hope this helps!

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2 years ago

If Angle B is two more than three times the measure of Angle C, and Angle B and Angle C are complementary angles, find each angl

dolphi86 [110]

Answer:

The measure of angle B is 68° and the measure of angle C is 22°

Step-by-step explanation:

we know that

If two angles are complementary, then their sum is equal to 90 degrees

m∠B+m∠C=90° -----> equation A

m∠B=3(m∠C)+2 ----> equation B

Substitute equation B in equation A and solve for m∠C

3(m∠C)+2+m∠C=90

4(m∠C)=90-2

4(m∠C)=88

m∠C=88/4

m∠C=22°

Find the value of m∠B

m∠B=3(22)+2=68°

therefore

The measure of angle B is 68° and the measure of angle C is 22°

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3 years ago

Alex sold 330 candy bars, milk chocolate candy bars sold for $2 each and white chocolate candy bars sold for $3 each. Alex sold

Alinara [238K]

Answer:

<em>Alex sold 330 white chocolate bars</em>

Step-by-step explanation:

let the milk chocolate candy be x and the white chocolate candy be y. then

then 2x+3y=990----1)

x+y=330-----2)

from eq 2) ⇒ x=330-y---------3)

Putting eq 3 in eq 1

2(330-y) +3y=990

660-2y+3y=990

y=990-660=330-----------4)

Putting eq4 in eq1

2x+3(330)=990

2x+990=990

2x=990-990

2x=0

x=0---------------------------5)

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3 years ago

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Answer:

Step-by-step explanation:

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