All categories

3 years ago

(Multiple Choice, 20 pts)

Mathematics

1 answer:

ivanzaharov [21]3 years ago

3 0

Answer:

x = -3, x = 0 is a extraneous solution

Step-by-step explanation:

Step 1: Cross-multiply

3x² = 4x² + 3x

Step 2: Isolate x's

0 = x² + 3x

Step 3: Factor

0 = x(x + 3)

Step 4: Find roots

x = 0, -3

Step 5: Double check work

Plug in both to see if they both work. Only x = 0 should be extraneous. We now have our answer!

You might be interested in

A movie ticket in 2008 cost $10. this year it cost $18

marta [7]

Answer:

inflation is cause of change of price

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Haos dog ate 40 cns of dog food in 31 day. how many cans should hao buy to feed his dog in 6 days

Crank

The answer is 8. 40 / 31 = 1.29032258. Multiply that by 6 and you have 7.74193548. Round up because you can't buy 7.7 cans of dog food.

7 0

3 years ago

What is an equation of the line that passes through the point (-4,3) and has a slope of -1?

vlabodo [156]

Y=mx+b
plug in the point
3=-1*-4+b
3=4+b
b=-1
y=-1x-1

8 0

2 years ago

Lexi2984 can u help me with this question

arsen [322]

9514 1404 393

Answer:

see the attachment

Step-by-step explanation:

The x- and y-intercepts are easily found:

X-intercept

Set y = 0 and divide by the coefficient of x.

-x +0 = 8

x = -8

Y-intercept

Set x = 0 and divide by the coefficient of y.

0 -2y = 8

y = -4

Now, we have two points on the graph: (-8, 0) and (0, -4). A third point can be one that is halfway between these: (-4, -2). The graph is attached.

7 0

2 years ago

Identify the factors of x2 − 4x − 21. (x − 7)(x 3) (x 7)(x − 3) (x 21)(x − 1) (x − 21)(x 1)

Tanzania [10]

The factors of the quadratic expression x² - 4x - 21 is (x - 7)(x + 3), making the first option the right choice.

A quadratic expression is of the form ax² + bx + c, which can be factorized using the mid-term factorization method, where b is shown as the sum or difference of two such numbers, whose product is equal to the product of a and c.

In the question, we are asked to factorize the quadratic expression, x² - 4x - 21.

In the given expression, a = 1, b = -4, and c = -21.

Thus, ac = -21.

The numbers having a product 21 are:

1*21 = 21,

3*7 = 21.

Since, 3 - 7 = -4 (That is b), we break b into 3 and -7.

Thus, the expression can now be shown as:

x² - 4x - 21

= x² + (3 - 7)x - 21

= x² + 3x - 7x - 21

= x(x + 3) - 7(x + 3) {By taking common}

= (x - 7)(x + 3) {By taking common}.

Thus, the factors of the quadratic expression x² - 4x - 21 is (x - 7)(x + 3), making the first option the right choice.

Learn more about factorizing a quadratic expression at

brainly.com/question/52959

#SPJ1

5 0

1 year ago