All categories

3 years ago

Which shows the correct substitution of the values a, b, and c from the equation 1 = -2x + 3x2 + 1 into the quadratic

Mathematics

1 answer:

lidiya [134]3 years ago

4 0

Answer: A

Step-by-step explanation:

The first thing we need to do is to make sure our equation is in standard form. The given equation is not in standard form.

3x²-2x=0

Now that the equation is in standard form, we can find our A, B, C to see which quadratic equation is correct.

A=3

B=-2

C=0

We can automatically eliminate D because the first value is -3 when it is supposed to be -(-2). Also, the denominator is supposed to be 2a. We know that A=3. The denominator should be 2(3), not 2(-2).

Next, we can eliminate B and C. For the 4ac, we know it has to be 4(3)(0) because A=3 and C=0. B and C have given 4(3)(2) and 4(3)(1), respectively. This does not match A=3 and C=0.

Therefore, A is the correct answer.

You might be interested in

Josie took a road trip. She drove for 45 minutes at 70 miles per hour. Then she drove 15 minutes at 20 miles per hour. How far d

Hunter-Best [27]

Answer:

Therefore Josie drove 57.5 miles.

Step-by-step explanation:

Speed: The ratio of distance to time.

To find the distance we use the following formula

$Distance= time \times speed$

Given that Josie drove 45 minutes at 70 miles per hour.

$45 \ minutes= \frac{45}{60}\ h=\frac34\ h$

In 45 minutes, she traveled = $(70\times \frac34) \ miles$

=52.5 miles.

The she drove 15 minutes at 20 mile per hour.

$15 \ minutes= \frac{15}{60}\ h=\frac14\ h$

In 15 minutes, she traveled $=(20\times \frac 14) \ miles$

=5 miles

Therefore Josie drove (52.5+5) miles= 57.5 miles.

3 0

3 years ago

A landscaper mowed 2 1/4 yards in 1 1/2 hours. How much did she mow in 1 hour? How many hours does it take to mow one yard?

ioda

Answer:

1.5 or 1 1/2 of a lawn in one hour. about one hour to mow one yard.

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

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°

5 0

2 years ago

3. A line goes through the points (3,4) and (-3,6).

Galina-37 [17]

Answer:

Part a) The slope is $m=-\frac{1}{3}$

Part b) The equation in point slope form is $y-4=-\frac{1}{3}(x-3)$

Part c) The equation in slope-intercept form is $y=-\frac{1}{3}x+5$

Step-by-step explanation:

we have the points (3,4) and (-3,6)

Part a) What is the slope of the line?

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the given points

$m=\frac{6-4}{-3-3}$

$m=\frac{2}{-6}$

$m=-\frac{1}{3}$

Part b) Write the equation of the line in point-slope form

$y-y1=m(x-x1)$

we have

$m=-\frac{1}{3}$

$point\ (3,4)$

substitute

$y-4=-\frac{1}{3}(x-3)$ ---> equation in point slope form

Part c) Write the equation of the line in slope-intercept form

$y=mx+b$

we have

$y-4=-\frac{1}{3}(x-3)$

Isolate the variable y

distribute right side

$y-4=-\frac{1}{3}x+1$

Adds 4 both sides

$y=-\frac{1}{3}x+1+4$

$y=-\frac{1}{3}x+5$ ---> equation in slope intercept form

7 0

3 years ago

6 - 8a + 5a - 35

Fittoniya [83]

Ok, so after you do -8a+5a, you also have to do 6 -35, getting the equation
-29-3a

7 0

2 years ago