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3 years ago

What is the factored form of 2x^2-7x+6

Mathematics

1 answer:

Xelga [282]3 years ago

6 0

Answer:

(2x - 3)(x - 2).

Step-by-step explanation:

Factor: 2x^2 - 7x + 6

Use the ac method to do this:

Multiply the leading coefficient by the last term:

2 * 6 = 12.

Now we want 2 numbers whose product is 12 and whose sum is -7.

That would be -3 and -4 so we write:

2x^2 -4x - 3x + 6

Now factor by grouping:

= 2x(x - 2) - 3(x -2)

(x - 2) is common to the 2 parts so we have:

(2x - 3)(x- 2).

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What equation does the model represent

lara [203]

5 whole and 1/6 hope it help you

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2 years ago

Jessica has saved $50. She will add $25 to her savings each week. Ron has saved $40 and will add $25 to his savings each week.

MAVERICK [17]

Answer:

Jessica will have saved $175, and Ron will have saved $165.

Step-by-step explanation:

Jessica starts out with $50. She adds $25 each week, and it's asking how much money she would have in 5 weeks. So, you multiply $25 by 5 to get $125. Then, you add $50 to that to get $175. Same thing for Ron. Multiply $25 by 5 to get $125, but this time add $40 to it to get $165.

6 0

2 years ago

Read 2 more answers

Write anwsers as fractions using / as fraction bar and write the greater value first

puteri [66]

Answer:

Final answer is $\frac{3}{2}$ or $\frac{1}{2}$ .

Step-by-step explanation:

Given equation is $\log_x\left(8x-3\right)-\log_x\left(4\right)=2$

Now we need to solve that equation for x.

$\log_x\left(8x-3\right)-\log_x\left(4\right)=2$

Apply formula $\log_c\left(A\right)-\log_c\left(B\right)=\log_c\left(\frac{A}{B}\right)$

$\log_x\left(\frac{8x-3}{4}\right)=2$

Apply formula $\log_c\left(A\right)=b \Rightarrow c^b=A$

$x^2=\frac{8x-3}{4}$

$4x^2=8x-3$

$4x^2-8x+3=0$

$4x^2-2x-6x+3=0$

$2x(2x-1)-3(2x-1)=0$

$(2x-3)(2x-1)=0$

$2x-3=0$ or $2x-1=0$

$2x=3$ or $2x=1$

$x=\frac{3}{2}$ or $x=\frac{1}{2}$

Hence final answer is $\frac{3}{2}$ or $\frac{1}{2}$ .

6 0

3 years ago

2 gallons of soup 15 cups of soup

kirill [66]

If it's a hearty soup that is served as the meal itself, and served with bread or crackers and salad, then you can figure about 2 cups per person. Since there are 16 cups to a gallon, that would give you 8 servings. If it's a lighter soup that is served as part of a 5 - 7 course meal, then you can figure about 1 cup person, which would be 16 servings.

3 0

2 years ago

Let x = a bi and y = c di and z = f gi which statements are true? check all of the boxes that apply. x y = y x (x × y) × z = x ×

Alex73 [517]

A complex number is a part of a number system that includes a real unit and an imaginary unit. All the statements are true except C and E.

<h3>What is a Complex Number?</h3>

A complex number is a part of a number system that includes the real numbers as well as a particular element labelled i, sometimes known as the imaginary unit, and which obeys the equation i² = 1.

As it is given that x=(a+bi), y=(c+di), and z=(f+gi), therefore, we need to plug in the values to check which all are true.

A.) x+y=y+x

$x+y=y+x\\a+bi+c+di=c+di+a+bi$

As the two sides of the equation are equal, the equation is true.

B.) (x × y) × z = x × (y × z)

$(x \times y) \times z = x \times (y \times z)\\\\\ [ (a+bi) \times (c+di) ]\times (f+gi) = (a+bi) \times [(c+di) \times (f+gi)]\\\\(ac+adi+bci-bd) \times (f+gi)= (a+bi) \times (cf+cgi+fdi-dg)$

$(ac+adi+bci-bd) \times (f+gi)= (a+bi) \times (cf+cgi+fdi-dg)\\\\\\acf+adfi+bcfi-bdf+acgi-adg-bcg-bdgi = acf+acgi+afdi-adg + bcfi-bcg-bfd-bdgi$

As the two sides of the equation are equal, the equation is true.

C.) x−y=y−x

$x-y=y-x\\\\(a+bi)-(c+di)=(c+di)-(a+bi)\\\\a+bi-c-di=c+di-a-bi$

As the two sides of the equation are not equal, the equation is not true.

D.) (x+y)+z=x+(y+z)

$(x+y)+z=x+(y+z)\\\\(a+bi+c+di)+f+gi = a+bi+(c+di+f+gi)\\\\a+bi+c+di+f+gi = a+bi+c+di+f+gi$

As the two sides of the equation are equal, the equation is true.

E.) (x−y)−z=x−(y−z)

$(x-y)-z=x-(y-z)\\\\(a+bi-c-di)-f-gi = a+bi-(c+di-f-gi)\\\\a+bi-c-di-f-gi =a+bi-c-di+f+gi)$

As the two sides of the equation are not equal, the equation is not true.

Hence, all the statements are true except C and E.

Learn more about Complex Number:

brainly.com/question/12464608

6 0

1 year ago