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3 years ago

5

HELLLP MEEEEEEEEEEE plz

2 answers:

olga nikolaevna [1]3 years ago

8 0

1) The ratio of used books to all books is 6:14

2) The ratio of used books to new books is 6:8

IRINA_888 [86]3 years ago

5 0

Answer: a.) 3 used books : 7 books in all (3:7)
b.) 3 used books : 4 new books (3:4)

Explanation: a.) there are 6 used books and 14 total books. (6:14) simplified that ratio is (3:7)

b.) there are 6 used books and 8 new books. (6:8) simplified that ratio is (3:4)

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What is the product of all constants $k$ such that the quadratic $x^2 + kx +15$ can be factored in the form $(x+a)(x+b)$, where

Setler79 [48]

Answer:

$k=-16,k=-8,k=8,k=16$

Step-by-step explanation:

We are given quadratic equations as

$x^2+kx+15$

and it can be factored as

$=(x+a)(x+b)$

now, we can multiply factor term

$(x+a)(x+b)=x^2+(a+b)x+ab$

now, we can compare

$x^2+(a+b)x+ab=x^2+kx+15$

so, we get

$k=a+b$

$ab=15$

we are given that

'a' and 'b' are integers

so, we can find all possible factors

$15=(-1\times -15),(1\times 15)$

$15=(-3\times -5),(3\times 5)$

so, we can find k

At $(-1\times -15)$ :

$k=a+b$

we can plug values

$k=-1-15$

$k=-16$

At $(1\times 15)$ :

$k=a+b$

we can plug values

$k=1+15$

$k=16$

At $(-3\times -5)$ :

$k=a+b$

we can plug values

$k=-3-5$

$k=-8$

At $(3\times 5)$ :

$k=a+b$

we can plug values

$k=3+5$

$k=8$

So, values of k are

$k=-16,k=-8,k=8,k=16$

6 0

3 years ago

Can someone please help!!

leva [86]

Answer:

Step-by-step explanation:

the last one

8 0

3 years ago

Solve this system of equations using the substitution method.

Bingel [31]

Answer:

x = 1.2

y = 6.6

Step-by-step explanation:

1) y= -2x+9

2) 8x-3=y

Substitute y in equation 1 using y in equation 2.

8x - 3 = -2x + 9

+ 3 on both sides

8x = -2x + 12

+ 2x on both sides

10x = 12

x = 1.2

To find y, plug in x

8x - 3 = y

9.6 - 3 = y

6.6 = y

Hope this helps :)

5 0

3 years ago

HELP ME ASAP PLS

Alla [95]

The vertex point is (0,4)
The two other points are (-2,0)(2,0)

6 0

3 years ago

Please hurry and answer

Katarina [22]

Answer:

64

Step-by-step explanation:

It’s directly adjacent to the other angle.

4 0

2 years ago