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3 years ago

What integer and -3 have a quotient 9?

Mathematics

1 answer:

Juli2301 [7.4K]3 years ago

6 0

-3 is your the answer a negitive times a negitive is a positive
happy to help

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Select the correct answer from each drop-down menu.

Alenkasestr [34]

Answer:

The points of intersections are: (1.5 , 1.25) and (4 , 0)

Step-by-step explanation:

Given:

y = x² - 6x + 8 ⇒ (1)

2y + x = 4 ⇒ (2)

And required the solution of the system of equations.

By graphing the system of equations, the points of intersections are:

(1.5 , 1.25) and (4 , 0)

See the attached figure.

Another solution:

By substitution of y from the second equation at the first equation.

From (1) ⇒ y = 0.5 (4-x)

At (2): and solve for x

0.5 ( 4 - x ) = x² - 6x + 8 ⇒ multiply both sides by 2

4 - x = 2x² - 12x + 16

2x² - 12x + 16 + x - 4 = 0

2x² - 11x + 12 = 0

The general solution of the quadratic equation:

$x = \frac{-b \pm \sqrt{b^2-4ac} }{2a}$

so, a = 2 , b = -11 and c = 12

∴ $x=\frac{-(-11) \pm \sqrt{(-11)^2-4*2*12} }{2*2}=\frac{11 \pm \sqrt{25} }{4} =\frac{11 \pm 5}{4} \\x = \frac{11+5}{4} = \frac{16}{4}=4\\ OR \ x = \frac{11-5}{4}=\frac{6}{4}=1.5\\$

∴ at x = 4 ⇒ y = 0.5 (4-x) = 0.5 * 0 = 0

And at x = 1.5 ⇒ y = 0.5 (4-x) = 0.5 * ( 4 - 1.5 ) = 0.5 * 2.5 = 1.25

So, the solution are the points (4,0) and (1.5 , 1.25)

6 0

3 years ago

: 6 = 0.2 what divided by 6 equals 0.2 ?

Natasha_Volkova [10]

Answer:

Step-by-step explanation:

.2x45=9 so then you will have to multiply .2 by something less then 45.

.2x40=8

.2x35=7

.2x30=6

5 0

3 years ago

Please i need this done ASAP!!!!!!!!! Write the following statement in if-then form. "All freshman are required to attend orient

Fynjy0 [20]

Answer:

If you are a freshman, then you are required to attend orientation

Step-by-step explanation:

The if part is the given part

The then part is what is going to happen

If you are a freshman, then you are required to attend orientation

3 0

3 years ago

Pls help me this is due tomorrow

Anna [14]

Step-by-step explanation:

Claim: There's 14 Goats and 9 Chickens!!

Data:

Working with the Provided Information.

Let the Number of goats be x

let the Number of Chickens be y

x + y = 23..... (i)

Since the goat Possesses Two Pair of Legs... Which is a Total of 4 Legs... We say Let its Contribution be 4x.

The Chicken has Only a Pair Of Legs...Which is a total of 2 legs.... We say let its contribution be 2y

4x + 2y = 74 .....(ii)

BRINGING BOTH EQUATIONS TOGETHER.

x + y = 23

4x + 2y = 74

From Eqn i

x= 23 - y

Substitute into eqn ii

4(23 - y ) + 2y = 74

92 - 4y + 2y = 74

92 - 2y = 74

2y = 92 - 74

2y = 18

y= 9.

Substitute y into any of the eqns to get x

x + y = 23

x + 9=23

x = 23 - 9

x = 14

This simply proves that there are 14 Goats and 9 Chickens!!!.

HAVE A GREAT DAY!

7 0

3 years ago

Austin made 5 quarts of his special from-scratch cupcake mix. He was able to make 32 identical cupcakes using 3.5 quarts of his

storchak [24]

9514 1404 393

Answer:

Step-by-step explanation:

We can write a proportion to find how much mix is required to make 52 cupcakes.

quarts/cupcakes = 3.5/32 = x/52

Multiplying by 52, we find ...

x = 52(3.5/32) = 5.6875 . . . quarts needed for 52 cupcakes

This is more mix than Austin made. He does not have enough left for 20 more cupcakes.

8 0

3 years ago