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Yakvenalex [24]
3 years ago
5

Can someone please help me factor 6x^2 - 9x+42

Mathematics
2 answers:
nordsb [41]3 years ago
7 0

Answer:

-3(x-2)(2x+7)

Step-by-step explanation:

frutty [35]3 years ago
6 0

Answer:

3(2x^2-3x+14)

Step-by-step explanation:

6x^2-9x+42

All three terms have a common factor of 3

3(2x^2-3x+14)

Now let's focus on 2x^2-3x+14 and bring down the factor 3 later

so a=2

b=-3

c=14

Let's try to find two factors for ac that multiply to be a*c and add up to be b.

ac=28

b=-3

-----

ac=7(4)=14(2)=8(2)

Even if I made these pairs with both negatives nothing would give me -3

So you can only go as far as 3(2x^2-3x+14)

Here is another thing to help you if you have ax^2+bx+c and b^2-4ac<0 then it can't be factored (over reals)

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In ΔBCD, the measure of ∠D=90°, the measure of ∠C=83°, and DB = 95 feet. Find the length of BC to the nearest tenth of a foot.
Paha777 [63]

Answer:

95.7

Step-by-step explanation:

\sin C = \frac{\text{opposite}}{\text{hypotenuse}}=\frac{95}{x}

sinC=

hypotenuse

opposite

​

=

x

95

​

\sin 83=\frac{95}{x}

sin83=

x

95

​

x\sin 83=95

xsin83=95

Cross multiply.

\frac{x\sin 83}{\sin 83}=\frac{95}{\sin 83}

sin83

xsin83

​

=

sin83

95

​

Divide each side by sin 83.

x=\frac{95}{\sin 83}=95.7134\approx 95.7\text{ feet}

x=

sin83

95

​

=95.7134≈95.7 feet

Type into calculator and roundto the nearest tenth of a foot.

8 0
3 years ago
One week, Daniel earned $554. 30 at his job when he worked for 23 hours. If he is paid the same hourly wage, how many hours woul
Sever21 [200]

Answer:39 hours

Step-by-step explanation:First, let's find the rate of money per hour:$554.30 / 23 hour= $24.1 / 1 hourDaniel earns $24.10 every hour he works.To find the hours that Daniel has to work to earn $939.90, divide it by 24.10:$939.90 / 24.10= 39Now, we can check:$24.10 * 39= $939.90

4 0
3 years ago
I will give brainliest if correct! &lt;3
stellarik [79]

Answer:

70

Step-by-step explanation:

77÷7=11 I know Trust me

8 0
3 years ago
HELPP ASAPP<br><br> How many solutions does the equation 2x + .5y = -4 have?
Rashid [163]

Answer:

Topics

2x-5y=4. 2x−5y=4. Add 5y to both sides. Add 5y to both sides.

2x=4+5y. 2x=4+5y. The equation is in standard form. The equation is in standard form.

2x=5y+4. 2x=5y+4. Divide both sides by 2. ...

\frac{2x}{2}=\frac{5y+4}{2} 22x​=25y+4​ Dividing by 2 undoes the multiplication by 2. ...

x=\frac{5y+4}{2} x=25y+4​ Divide 4+5y by 2.

Step-by-step explanation: How do I determine how many solutions an equation has?

If solving an equation yields a statement that is true for a single value for the variable, like x = 3, then the equation has one solution. If solving an equation yields a statement that is always true, like 3 = 3, then the equation has infinitely many solutions.

7 0
2 years ago
Suppose you'd like to save enough money to pay cash for your next car. The goal is to save an extra $26,000 over the next 3 year
solmaris [256]

Answer:

Quarterly deposit= $2,038.69

Step-by-step explanation:

Giving the following information:

Future value (PV)= $26,000

Number of periods (n)=  3*4= 12 quarters

Interest rate (i)= 0.044/4= 0.011

<u>To calculate the quarterly deposit, we need to use the following formula:</u>

<u></u>

FV= {A*[(1+i)^n-1]}/i

A= quarterly deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

A= (26,000*0.011) / [(1.011^12) - 1]

A= $2,038.69

6 0
3 years ago
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