1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Natali [406]
3 years ago
13

Nathaniel is using the quadratic formula to solve 0 = x2 + 5x - 6. His steps are shown below. Table showing 3 steps to solve an

equation using the quadratic formula. What are the solutions to the equation?
Mathematics
1 answer:
shutvik [7]3 years ago
3 0

Answer:

              \underline{x\in\left\{-6\,,\ 1\right\}}

Step-by-step explanation:

x^2+5x-6=0\\\\a=1\,,\ \ b=5\,,\ \ c=-6\\\\x_1=\dfrac{-5-\sqrt{5^2-4\cdot1\cdot(-6)}}{2\cdot1}=\dfrac{-5-\sqrt{25+24}}2=\dfrac{-5-\sqrt{49}}2=\dfrac{-5-7}2=-6\\\\x_2=\dfrac{-5+\sqrt{5^2-4\cdot1\cdot(-6)}}{2\cdot1}=\dfrac{-5+7}2=1

You might be interested in
Explain how you could convert 8 quarts to gallons without measuring
Ede4ka [16]

Explanation:

There are 4 quarts in one gallon.

This means that to convert quarts in to gallons, you just need to divide by 4.

8 divided by 4 is 2

So, there are 2 gallons in 8 quarts.

5 0
3 years ago
Answer the question in the photo
Artemon [7]
The answer for this question is -20.You have to subtract -15-5 and that’s what you get.
7 0
3 years ago
Read 2 more answers
864 multiple by two third ?
harkovskaia [24]
Here we will explain how to calculate two thirds of 864.

Two thirds of 864 is simply two thirds times 864, which can be written as follows:

Two/thirds x 864

Furthermore, you can convert "two" to "2" and "thirds" to "3" and then the equation and answer is:

2/3 x 864 = 576.00

Two thirds written as a fraction is 2/3. You can also write it as a decimal by simply dividing 2 by 3 which is 0.67.<span>If you multiply 0.67 with 864 you will see that you will end up with the same answer as above. </span>

<span>You may also find it useful to know that if you multiply 0.67 with 100 you get 66.67. Which means that our answer of 576.00 is 66.67 percent of 864. </span>
3 0
3 years ago
2587 to the nearset thousand
BigorU [14]

Answer:

3000

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is the equation of a line that is perpendicular to −x+2y=4 and passes through the point (−2, 1) ? Enter your equation in th
ANTONII [103]
Perpendicular lines have slopes that multiply to get -1
y=mx+b is the slope intercept equation
m=slope

so get into y=mx+b form
-x+2y=4
solve for y
add x both sides
2y=x+4
divide by 2 both sides
y=(1/2)x+2
the slope is 1/2

perppendicular line slope multiplies to -1
1/2 times what=-1
times 2/1 both sides
what=-2/1=-2

y=-2x+b
find b
we are given a point is (-2,1)
when x=-2, y=1
1=-2(-2)+b
1=4+b
minus 3 both sides
-3=b

so the equation is
y=-2x-3

your teacher might want it in standard form (ax+by=c) so
add 2x both sides
2x+y=-3 is an equation


so y=-2x-3 is correct (slope intercept form)
2x+y=-3 is also correct (standard form)
6 0
3 years ago
Other questions:
  • CONTINUED FROM PREVIOUS QUESTION <br> (SEE PICTURES BELOW)<br> Thanks <br> :)
    7·1 answer
  • How do I establish this identity??
    15·1 answer
  • 5 2/8-3 7/8=? I need help plzz
    5·2 answers
  • 1. A cab driver charges a flat rate of $7 for the first mile driven and $2 for every mile after that. If the
    10·1 answer
  • Ten is decreased by four times the quantity of eight minus three. One is then added to that result. What is the final answer?
    10·2 answers
  • 5x+4+11x distributive property
    13·1 answer
  • Which option is the best example of a financial emergency?
    9·1 answer
  • Pls help urgently extra points and mark brainlist
    8·1 answer
  • 1. What is percent of change formula
    6·1 answer
  • 4. Four years ago, Melody was one fourth as old as her sister was then, In six years, Melody will be half as old as het sister w
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!