help pls, (20 points and brainlist)

x intercept (- 7,0)

y intercept (0,3)

9514 1404 393

Answer:

  (a) 2, 6

  (b) 155/8, -155, 8x² -155x -1 = 0

Step-by-step explanation:

(a) The equation in standard form is ...

  x^2 -(4+k)x +4k +1 = 0

Then the discriminant is ...

  (4+k)^2 -4(1)(4k+1) = 4^2 +8k +k^2 -16k -4 = k^2 -8k +12 = (k -2)(k -6)

The roots are equal when the discriminant is zero. The values of k that make the discriminant be zero are k=2 and k=6.

__

(b) a^3 + b^3 = (a +b)(a^2 -ab +b^2) = (a+b)((a+b)^2 -3ab)

  = (5/2)((5/2)^2 -3(-1/2)) = (5/2)(25/4 +3/2) = 155/8 = α³ +β³

  1/a^3 +1/b^3 = (a^3 +b^3)/(ab)^3 = (155/8)/(-1/2)^3 = -155 = 1/α³ +1/β³

The desired equation can be written from ...

  (x -a^3)(x -b^3) = 0

  x^2 -(a^3 +b^3)x +(ab)^3 = 0

  x^2 -155/8x -1/8 = 0 . . . . .substituting known values

  8x^2 -155x -1 = 0

Answer:

Hope this helps! :D

Answer:

no

Step-by-step explanation:

9.080 is greater

Answer:

5,1,-3,-7

Step-by-step explanation:

y=-4x+1

if x is -1,

-4(-1)+1 or 4+1 or 5.

Following,

5,1,-3,-7

Hope this helps plz hit the crown :D

Answer:

12 miles

Step-by-step explanation

56.75 - 2.75 = 54

1/2(54/2.25)

Answer: y= 3x+62

Step-by-step explanation: m= y₂-y₁/x₂-x₁

m= 80-62/6-0

m= 18/6

m=3

y-y₁=m(x-x₁)

y-62= 3(x-0)

y-62= 3x-0

y= 3x+62

Answer:

1

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] and [tex]a^{0}[/tex] = 1

Given

[tex]7^{4}[/tex] × [tex]7^{5}[/tex] × [tex]7^{-9}[/tex]

= [tex]7^{(4+5-9)}[/tex]

= [tex]7^{0}[/tex]

= 1

Answer:

(-8,-6)

Step-by-step explanation:

Answer:

So... the factored answer is -5(7+x) Simplified it is -35-5x

Step-by-step explanation:

Calculate the sum then factor! Hope this helps :D

Answer: 126!

Step-by-step explanation: I subtracted 180-54, because a triangle should always equal 180.

Answer:

Step-by-step explanation:

288 divided by 4 = 72

72X4=288

Hope it helps

Answer:

$2.19

Step-by-step explanation:

7 divided by 3 is 2.5

5.46 divided by 2.5 is 2.184

round it and get 2.19

There are no like terms.

Answer:

=r−8s−5

Answer:

She has 3/4 and each batch requires 1/8. 3/4 can be turned into 6/8 she can make 6 batches.

Answer: Yes, Sammi is correct because although it is repeating, it is expressible as a ratio of 2 integers.

I hope this helps!

Step-by-step explanation:

Answer: Over the interval x =  2≤ x <3, y = 2.  

For an input value of –1.5, the corresponding output value is -2

Step-by-step explanation: Easier to find the information of you make a sketch of the graph described. (Good description!)

To find the value, look at the graphed segments that correspond to the given values.

X represents input values, Y represents output values.

Answer:

Over the interval  

✔ [2, 3)

, y = 2.

For an input value of –1.5, the corresponding output value is  

✔ –2

.

Step-by-step explanation:

edge2020

Solution :

Given that the expression is :

[tex]$10^3 \times 0.006$[/tex]

This can be written as,

[tex]$\Rightarrow 10^3 \times \frac{6}{1000}$[/tex]

[tex]$\Rightarrow 10^3 \times \frac{6}{10^3}$[/tex]

[tex]$\Rightarrow 10^0 \times 6$[/tex]

a). Therefore the exponent in the power of 10

     = 0

b). Factors of 10 in [tex]$10^3$[/tex]

    = 10 x 10 x 10

    = 1000

    = [tex]$10^3$[/tex]

   So there are 3 factors of 10 in [tex]$10^3$[/tex]

c). If we compare the exponent of power of 10 in 1000 and factors of 10 in 1000, then both of them will be same.

  But in part a), we are finding exponent in the power of 10 in the expression  which is equal to 0. And in part b), we are finding the factor of 10 in 1000, which is equal to 3, as 10 x 10 x 10 = 1000.

d). The value of the expression [tex]$10^3 \times 0.006$[/tex] is 6.

Answer:

1 7/15

Step-by-step explanation:

4/5 = 12/15

2/3 = 10/15

12/15 + 10/15 = 22/15 or 1 7/15

Answer:

The correct

answer is B

The correct option is B)

A feasible region satisfies all the inequalities of a linear programming problem. It is based on the technique of optimization.

Given here the inequalities as –x + y ≤ –1

x + 2y ≥ 4

The graph plotting the two equations is plotted in the attached file

Hence from the given graph option B is the correct option.

Learn more about feasible regions here:

https://brainly.com/question/29314086

#SPJ2

Answer:

SAA

Step-by-step explanation:

there is a side, and vertical angles equal eachother so it would be SAA

Answer:

[tex] A_1 = 12[/tex]

[tex] A_4=21[/tex]

[tex] A_{10}= 39[/tex]

Step-by-step explanation:

[tex]A_n = 12+(n-1)(3) \\ \\ plug \: n = 1 \\ A_1 = 12+(1-1)(3) \\ = 12 + 0(3) \\ = 12 + 0 \\ \red{ A_1= 12} \\ \\ plug \: n = 4\\ A_4 = 12+(4-1)(3) \\ = 12 + 3(3) \\ = 12 + 9 \\ \purple{ A_4= 21} \\ \\ plug \: n = 10\\ A_{10} = 12+(10-1)(3) \\ = 12 + 9(3) \\ = 12 + 27 \\ \orange{ A_{10}= 39} \\ \\ [/tex]

Answer:

b= 2 10/31

Step-by-step explanation:

You need to divide 62b by 62 so you can find the value of b.

When you do anything to one side, you have to do it to the other.

62b=144

/62    /62

b= 2 10/31

Answer:

460

Step-by-step explanation:

Answer:D

Step-by-step explanation:

Answer:

-6 is the integer

Step-by-step explanation:

Answer:

If you're on edge and it's the multiple choice one it would be a

Answer:

The answer is 5398444

Answer:

420−69+80085+5318008

=5398444

Step-by-step explanation:

Answer:

0.03, 0.2, 1/4

Explanation:

The inequalities orders the numbers from least to greatest numbers will be 0.03 < 0.2 < 0.25.

It is the order of the numbers in which a smaller number comes first and then followed by the next number and then the last number will be the biggest one.

The numbers are given below.

0.2, 0.03, and 1/4

Convert all the numbers into fraction numbers.

0.2, 0.03, and 0.25

Then the inequalities orders the numbers from least to greatest numbers will be

0.03 < 0.2 < 0.25

The inequalities orders the numbers from least to greatest numbers will be 0.03 < 0.2 < 0.25.

More about the ascending order link is given below.

https://brainly.com/question/320500

#SPJ6