How do I solve a quadratic equation like this: x squared minus 9x = -14?

Answers

Answer 1

Answer: $x^2-9x=-14\n\nx^2-9x+14=0\n--------------------\n-9=-7+(-2)\n14=-7\cdot(-2)\n--------------------\n\nx^2-9x+14=(x-7)(x-2)\n\n(x-7)(x-2)=0\iff x-7=0\ or\ x-2=0\n\nx=7\ or\ x=2$

$x^2-9x+14=0\n\na=1;\ b=-9;\ c=14\n\n\Delta=b^2-4ac\n\n\Delta=(-9)^2-4\cdot1\cdot14=81-56=25\n\nx_1=(-b-\sqrt\Delta)/(2a)\to x_1=(9-√(25))/(2\cdot1)=(9-5)/(2)=(4)/(2)=2\n\nx_2=(-b+\sqrt\Delta)/(2a)\to x_2=(9+√(25))/(2\cdot1)=(9+5)/(2)=(14)/(2)=7$

Answer 2

Answer: Bring everything over to one side.
x² -9x=-14
x²-9x+14=0
Now it is an easy trinomial so you need to find two numbers that add up to -9 and multiply to equal 14. The two numbers are -7 and -2.
x²-9x+14=0
(x-7)(x-2)=0
x= 7 and 2

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The race begins at a rate of 1.5 meters per second. what distance, d, is covered after, t, seconds

Answers

The required distance after time t is given as 1.5t.

Given that,
Speed in the race is given as 1.5 meters per second, to determine distance, d, is covered after, t, seconds.

What is Distance?

Distance is defined as the object traveling at a particular speed in time from one point to another.

What is speed?

Speed is defined as when an object is subjected to movement, the distance covered by the object in a certain time interval is the speed of that object.

Here,
Speed = 1.5 m/s
Distance = speed × time
Distance = 1.5 × t
Distance(d) = 1.5t

Thus, the required distance after time t is given as 1.5t.

Learn more about distance here:

brainly.com/question/15172156

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Well if 1.5 m is covered in 1 second, the distance would be calculated as d=1.5t.

How much is 1/9 of 3/8 (in lowest terms)?

Answers

We are asked to evaluate 1/9 of 3/8. This means we have to multiply 1/9 and 3/8. The product of the two factors is 3/ 72. Seeing the two factors on the other hand, we can cancel out 3. Hence the final answer to this problem in lowest terms becomes 1/24.

Can someone answer plz

Answers

1.D 2. A 3.C 4.D

1 Is the monomial as it only contains one expression.

2. Is the difference of squares because something squared minus something squared.

3. Is standard because it is of the form

$a_nx^n+ a_(n-1)x^(n-1)+...+a_1x+a_0$

4. We know D is the not the monomial simply because its power is negative which means it does not fit the definition of a polynomial.

Alicia drove at a constant speed and traveled 183 miles in 3 hours. How many miles would Alicia travel in 11 hours at the same speed?

Answers

Answer:

671 miles.

Step-by-step explanation:

We have been given that Alicia drove at a constant speed and traveled 183 miles in 3 hours.

First of all, we will Alicia's speed using speed formula.

$\text{Speed}=\frac{\text{Distance}}{\text{Time}}$

$\text{Alicia's speed}=\frac{\text{183 miles}}{\text{3 hours}}$

$\text{Alicia's speed}=\frac{\text{61 miles}}{\text{ hour}}$

So Alicia's travels at a speed of 61 miles per hour.

To find distance covered by Alicia is 11 hours, we will multiply per hour speed by 11 as:

$\text{Distance covered by Alicia is 11 hours}=\frac{\text{61 miles}}{\text{ hour}}* \text{11 hours}$

$\text{Distance covered by Alicia is 11 hours}=\text{61 miles}* 11$

$\text{Distance covered by Alicia is 11 hours}=\text{671 miles}$

Therefore, Alicia will travel 671 miles in 11 hours.

Answer:

Step-by-step explanation: 3 hours = 183 miles that means 1 hour = 61 miles so 11 hours is 61 multiplied by 11 which is = 671 miles... ✌️

Find the sum or difference. (3a – 3a^2) + (5 + 8a)A: a^2 + 11a + 5

B: –3a^2 + 11a + 5

C: 3a^2 + 11a + 5

D: –3a^2 + 11a – 5

Answers

Answer: B = –3a^2 + 11a + 5

For difference, the answer is

-3a^2 -5a -5

Step-by-step explanation:

(3a – 3a^2) + (5 + 8a)

To find the sum or difference, we will open the brackets.

To look for l the sum, we add

3a – 3a^2 + 5 + 8a

Collecting like terms,

= -3a^2 +8a + 3a +5

= -3a^2 + 11a + 5

Option B is the right answer.

To look for the difference, we subtract.

(3a – 3a^2) - (5 + 8a)

Opening the brackets

3a – 3a^2 - 5 - 8a

Collecting like terms

-3a^2 + 3a -8a -5

= -3a^2 -5a -5

The options available corresponds only to what we got for the sum, so

-3a^2 + 11a + 5 is the answer

Answer: B. -3a^2 + 11a + 5

1.) Remove parentheses.

3a−3a^2 +5+8a

2.) Collect Like Terms.

(3a+8a) - 3a^2+5

3.) Simplify.

11a - 3a^2+5

-3a^2 + 11a + 5

Six students are working to simplify the expression shown. Drag each student's answer to a box to show whether it is fully simplified, equivalent to the given expression but not fully simplified, or not equivalent to the given expression. 15 + 12x -5x +4y -7