Write the quadratic equation whose roots are −3 and 2, and whose leading coefficient is 4.

Answer:

2-point shots: 31

3-point shots: 6

Step-by-step explanation:

In order to solve this system of equations, we can use the method of elimination. We can start by multiplying the equation x + y = 37 by 2 in order to get the x terms to cancel out in the next step(They can do that because we are making them the same value, 2x). So, we get:

2(x + y) = 2(37)

2x + 2y = 74

Now, we can subtract the equation 2x + 2y = 74 from the equation 2x + 3y = 80 in order to make a one-variable equation:

2x + 3y = 80

-(2x + 2y) = -(74)

y = 6

We can plug in the value of y in one of the equations to find x:

x + (6) = 37

x = 31

Since x stands for the amount of 2-point shots and y for the 3-point shots, we can say:

2-point shots: 31

3-point shots: 6

Answer:

31 and 6

Step-by-step explanation:

The 2 equations modelling the situation are

x + y = 37 → (1)

2x + 3y = 80 → (2)

Multiplying (1) by - 2 and adding the result to (2) will eliminate x

- 2x - 2y = - 74 → (3)

Add (2) and (3) term by term to eliminate x

0 + y = 6

y = 6

Substitute y = 6 into (1) and solve for x

x + 6 = 37 ( subtract 6 from both sides )

x = 31

Then 2- point shots = 31 , 3- point shots = 6

Answer:

-3

Step-by-step explanation:

p(x) = x^2-6x+5

Let x= 4

p(4) = 4^2-6(4)+5

Exponents first

       = 16 -6(4) +5

Multiply

     = 16 -24 +5

Add and subtract

    = -8+5

   = -3

Let numerator be x

ATQ

[tex]\\ \sf\longmapsto x+x+2=12[/tex]

[tex]\\ \sf\longmapsto 2x+2=12[/tex]

[tex]\\ \sf\longmapsto 2x=12-2[/tex]

[tex]\\ \sf\longmapsto 2x=10[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{10}{2}[/tex]

[tex]\\ \sf\longmapsto x=5[/tex]

Now the fraction is

[tex]\\ \sf\longmapsto \dfrac{x}{x+2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{5}{5+2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{5}{7}[/tex]

-- Their sum is 12.

-- If they were equal, each would be 6.

-- To make them differ by 2 without changing their sum, move 1 from the numerator (make it 5), to the denominator (make it 7).

Answer:

1 : 3

Step-by-step explanation:

There are 2 orange triangles  and 6 blue triangles

2:6

Divide each by 2

2/2 : 6/2

1 : 3

Answer:

1:3

Step-by-step explanation:

There are 2 orange triangles and 6 blue triangles.

This can be shown as 2:6

You can then simplify the ratio down by halving it:

1:3

Hope this helps :)

Answer:

(-11, -6)

Step-by-step explanation:

Find the distance between the midpoint, (-3, -1) and (5, 4). This can be calculated by finding the difference between the x coordinates and y coordinates.

-3 - 5 = -8 (distance between x coordinates)

-1 - 4 = -5 (distance between y coordinates)

Find the point (x, y) by subtracting 8 from the midpoint's x value, and then subtracting 5 from the midpoint's y value.

-3 - 8 = -11

-1 - 5 = -6

So, the point (x, y) is (-11, -6)

Answer:

5i +(5/3)j - (5/3)k

Step-by-step explanation:

Vector b is in the same direction as vector a, so it is a scalar multiple of a.

b = ca for some positive real number c.

b = c(3i + j - k) = 3ci + cj - ck

|b| = sqrt[(3c)^2 + c^2 - c^2] = sqrt(9c^2) = 3c

If |b| = 5, then 3c = 5 and c = 5/3

That makes b = (5/3)(3i + j - k) = 5i +(5/3)j - (5/3)k

Answer:

-2.45

Step-by-step explanation:

I used a calculator to find this so I hope it helps :)

Answer:

The First answer is 57

Step-by-step explanation:

You take the two angles that you have and add them. Then you subtract that number from 180 and you get your answer. So, it should look something like this; 46+77=123, 180-123=57

Answer:

$ -2.08  expected to lose  

Step-by-step explanation:

3 25.0%  $15.00   $5.00   $1.25  

5 41.7%  $10.00   $-     $-    

4 33.3%  $-     $(10.00)  $(3.33)  

    $(2.08)  expected to lose  

Answer:

3+x

Step-by-step explanation:

lol im doing this on edge too

hope it helps

Answer:

$23

Step-by-step explanation:

A 15% tip on $40 is $6. The total you and your friend will receive is $46. When you split that evenly, you will each receive $23.

Cost of Mowing = $40

Tip = 15%

= 15/100×40

= $6

So you get $40 + $6

= $46

When you divide it in 2 people

= 46/2

= $23

Therefore each of you will make $23

Must click thanks and mark brainliest

Answer:

It is 121

Step-by-step explanation:

Answer:

i'm pretty sure it's 45 degrees?

Answer:

Step-by-step explanation:

b = 25°

Answer:

4,3,1

Step-by-step explanation:

2^a3^b5^c=2160

2^a3^b5^c=2^4 3^3 5^1

a=4,b=3 and c=1

Question :- Find Angle 1 in diagram

Answer:- Exterior angle is equal to sum of two opposite interior Angle

so :- ATQ

[tex]140 = \angle1 + 90 \\ 140 - 90 = \angle1 \\ 50° = \angle1 \: \: ans[/tex]

so your answer is option (C) 50°

Answer:

20%

Step-by-step explanation:

I looked it up and that's what I got

Answer:

Volume = 480 cm³

Step-by-step explanation:

Volume = lwh

*Split the shape into 3 rectangles.

Rectangle 1: 4 x 4 x 8 = 128

Rectangle 2: 14 x 4 x 4 = 224

Rectangle 3: 4 x 4 x 8 = 128

Total: 128 + 224 + 128 = 480 cm³

Answer:

480

Step-by-step explanation:

just took the quiz

How long, to the nearest day, until it is safe to swim again will be 156 days

Let x represent number of day until it is safe to swim again

First step

=2000 *1/2^x

100=2000 *0.5^x

0.05=0.5^x

Second step

Log 0.05=xLog 0.5

Log 0.05/L0g 0.5=x

x=36 days* Log 0.05/L0g 0.5

x=36 days*43.22

x=156 days

Inconclusion How long, to the nearest day, until it is safe to swim again will be 156 days

Learn more about  radioactive element here:

https://brainly.com/question/13812761

[tex]\huge\mathsf\green{ANSWER}:—[/tex]

[tex]option \: c \: \sqrt{4} \: is \: the \: correct \: option[/tex]

[tex] \sqrt{4} = \sqrt{2 \times 2} = 2[/tex]

But irrational numbers are the numbers that are not rational numbers but 2 is a rational number that's why option c is correct .

520 x 12 months x 4 years = 24960

24960 + 3000 deposit = 27,960 total paid.

27,960 - 13,000 = 14,960 total interest paid

Answer:

3z+ 1/2 x

Step-by-step explanation:

This is an expression not an equation.

Answer:

57km /hr+55km/hr÷2 = 56 km/hr

Answer: 14.8km/h

Hope this helps!! Have a good day!!

Answer:

okie dokie 5557/57890/6678/2559

Answer:

D. (7,2)

Step-by-step explanation:

-3 +10 is 7

9-7 is 2.

kinda just put them together, you get (7, 2)

I hope this helps!

pls ❤ and mark brainliest pls!

The image of (-3, 9) is (7,2).

Mathematically speaking, a translation is defined by the following operation:

[tex]P'(x, y) = P(x,y) + T(x,y)[/tex] (1)

Where:

If we know that [tex]P(x,y) = (-3, 9)[/tex] and [tex]T(x,y) = (10, -7)[/tex], then the resulting point is:

[tex]P'(x,y) = (-3, 9) + (10, -7)[/tex]

[tex]P'(x,y) = (7, 2)[/tex]

Hence, the image of (-3, 9) is (7,2).

We kindly invite you to check this question on translation: https://brainly.com/question/12463306

Answer:

4+2x = 12

Step-by-step explanation:

sum means add an is means equal

4+2x = 12

Step-by-step explanation:

the sum of 4 and twice a number is 12:

Answer:

Below!

Step-by-step explanation:

To find the volume of a cylinder, you can use this formula : v = πr^2h

r = 12km , h = 7 km

v = π(12km)^2(7)

  = 3166.72539

Round to the nearest 10th

  = 3166.7 km^3

Hope this helps! Best of luck <3

Answer:

0.043

Step-by-step explanation:

arranging in ascending order

0.04,0.043,0.40

or they are 0.040,0.043,0.400

so middle term is 0.043

Given :

the numbers are  0.04, 0.40, 0.043

Arrange the given decimal numbers in ascending order

smallest number is 0.04

So the order of given decimal numbers are

0.04,  0.043 , 0.40

From this we can see that the middle number is 0.043

So, the middle number of the numbers 0.04, 0.40, 0.043 is 0.043

Learn more : brainly.com/question/21106706

Answer:

x=0   , x=8 , x = ±5i

Step-by-step explanation:

-x(x – 8)(x² + 25) = 0

Using the zero product property

-x =0   x-8 =0  x^2+25 =0

x =0    x= 8     x^2 = -25

x=0    x= 8    sqrt(x^2) = sqrt(-25)

                      x = ±5i