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suter [353]
3 years ago
13

Find the set of values of k for which the y = kx – 4 intersects the curve of y = x2 – 2x at two distinct points.

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
6 0

Answer:

For ax^2+bx+c=0,

x^2+x(-2-k)+4=0,

So, b=-2-k,

a=1, c=4, so

(-2-k)^2-(4*1*4)>0,

4+4k+k^2-16>0,

k*2+4k-12>0,

(k+6)*(k-2)>0,

the points of interest are

k=-6, k=2, so

look at k<-6, -6<k<2, and

k>2.

Just plug in values for each

interval and you will see

that k<-6 and k>2.

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the elephants at the norfolk zoo are fed 1/2 a barrel of corn each day. the buffalo are fed 7/10 as much corn as the elephants.
maksim [4K]

7/20 barrels of corn are the buffalo fed each day.

How to solve word problems?

It's actually fairly easy to solve word problems using a tried-and-true step-by-step approach.

  • Aloud to yourself, read the issue.
  • Make a Drawing.
  • Ask yourself, "What am I looking for?"
  • List the items that have been provided.
  • Locate the key phrases.
  • Solve.
  • Verify your work.

Here are some actions to take:

  1. Recognize the issue, including all the terminology used to describe it. Recognize what you need to look for, Recognize the issue's context.
  2. Convert the issue into an equation. Give the unknown a variable (or variables) to symbolize, Indicate exactly what the variable stands for.
  3. Put the strategy into action and find a solution.

Given:

Elephants at the Norfolk zoo are fed = 1/2

Buffalo are fed 7/10 as much corn as the elephants = 7/10 * Elephants fed

= 7/10 * 1/2

= 7/20

Hence, 7/20 barrels of corn are the buffalo fed each day.

To know more about word problems check the below link:

brainly.com/question/13818690

#SPJ4

4 0
1 year ago
Math help ;x please help <br> asap skdsk <br> 10 points!
Svetradugi [14.3K]

Answer:

C.

Step-by-step explanation:

When you write the equation of a line in slope-intercept form,

y = mx + b,

m is the slope.

Parallel lines have equal slopes.

The given line is

y = (4/5)x - 1

and has slope 4/5.

The only equation in the choices with slope 4/5 is in choice C whose line is

y = (4/5)x + 2.

8 0
3 years ago
What is the solution to Mr. Smith's equation?
taurus [48]

Answer:

39

Step-by-step explanation:

(16-2w)^2 + (3y÷3z)

Let w=5 y=9 and z=3

(16-2*5)^2 + (3*9÷3*3)

PEMDAS says parentheses first

Multiply and divide in the parentheses

(16-10)^2 + (27÷9)

Then add and subtract in the parentheses

(6)^2 + (3)

Now the exponent

36 +3

39

5 0
3 years ago
Read 2 more answers
Can someone please answer it correctly if it’s correct I will mark you brainliest
snow_tiger [21]

Answer:

6 blooms

Step-by-step explanation:

40 x 15%

40 x 0.15 = 6

3 0
3 years ago
Read 2 more answers
3. Daniel is a very good television salesperson. His annual sales average at $187,400. His
Stolb23 [73]

Answer:

$96,220

Step-by-step explanation:

Daniel is a very good sales person

His annual sales average is $187,400

His commission on sales is 30%

= 30/100

= 0.3

His annual base salary is $40,000

Therefore, Daniel's annual gross income can be calculated as follows

Annual gross income= Annual base salary + Commission on sales

= $40,000 + (30/100 × $187,400)

= $40,000 + 0.3×$187,400

= $40,000+$56,220

= $96,220

Hence Daniel's annual gross income is $96,220

4 0
3 years ago
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