Which are the solutions of 5x2 + 2x - 3 = 0 by factoring?

Answer:

Total number of balls  = 9

Answer:

The numbers are 18, 13, and 72.

Step-by-step explanation:

Let the three numbers be represented by a, b, and c.

The sum of the three is 103. Thus, we can write that:

[tex]a+b+c=103[/tex]

The second number is five less than the first. So:

[tex]b=a-5[/tex]

And the third number is four times the first. So:

[tex]c=4a[/tex]

Substitute:

[tex]a+(a-5)+(4a)=103[/tex]

Solve for a. Combine like terms:

[tex]6a-5=103[/tex]

Add five to both sides:

[tex]6a=108[/tex]

And divide both sides by six. Therefore:

[tex]a=18[/tex]

So, the first number is 18.

Since the second number is five less than the first, the second number is 13.

And since the third number is four times the first, the third number is 72.

Answer:

constant: 4

coefficent: 7, 18 (However, -1 can also be counted as a coefficient, it is just invisible!)

Step-by-step explanation:

coefficient: a numerical or constant quantity placed before and multiplying the variable in an algebraic expression

therefore, 7 and 18 are coefficients. HOWEVER, -1 can also be a coefficient to -z.

constant: a quantity or parameter that does not change its value whatever the value of the variables, under a given set of conditions.

therefore, 4 is a constant.

hope this helps! if it does, please mark brainliest! thanks!

Answer:

4

-1, -7, 18

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√[-8 - (-2)]² + (3 - 3)²

√(-6)² + (0)²

√36

= 6

Answer:

Step-by-step explanation:

none in the first 3 box

none in the second 3 boxes

2 in the third 3 boxes

1 in the 4th three boxes

1 in the 5th three boxes

3 in the 6th three boxes

and none in the last 3 boxes

hope this helped :D

Answer:

120 miles

Step-by-step explanation:

120minutes= 2hour

2×60÷1=120 (miles)

Answer:

2.478 million at the end of 2015

Step-by-step explanation:

Multiply the amount of population at the end of 2012 times 6%

2.1 times 0.06 = 0.126 million

So, at a constant rate, yearly, the population of Dubai increases 0.126 million

2015-2012 = 3

0.126 times 3 = 0.378 million

2.1 + 0.378 = 2.478 million

hope this helps:)

Answer:

68

Step-by-step explanation:

Let x=adult tickets and y=child tickets

1) 15x+11y=1889

2) x+y=147

multiply equation 1 by -1/11 on both sides to get:

-(15/11)x-y=-171.73

add new equation with equation 2 to get

-4/11x=-24.73

Isolate x to get:

x=67.99999

Round up to get 68 adult tickets

Answer:

At least 11 miles a day.

Step-by-step explanation:

(80-14)÷6≥80

Answer:

D, C, B

Step-by-step explanation:

Last week, Nora sold 36 pineapples ([tex]48-12=36[/tex]), and 48 bananas.

Last week, the ratio of bananas sold to pineapple sold was [tex]48:36[/tex], which simplify to [tex]4:3[/tex]

The ratio means that for every 4 bananas sold, the number of pineapple sold was 3.

Answer:

D.  -0.07 to nearest hundredth.

Step-by-step explanation:

Applying the Cosine Rule:

11^2 = 7^2 + 8^2 - 2*7*8 cos O

cos O = (11^2 - 7^2 - 8^2) / (-2*7*8)

= 8/-112

= -0.07143.

9514 1404 393

Answer:

  68.6 square units

Step-by-step explanation:

The relevant area formulas are ...

  A = LW . . . . rectangle of length L and width W

  A = (π/4)d² . . . . . circle of diameter d

__

You have a rectangle of dimensions 4 by 14, and a circle of diameter 4. The total area is ...

  A = (4×14) +(π/4)(4²) = 4(14+π) ≈ 68.6 . . . . square units

Answer:

x = 34°

Step-by-step explanation:

The chord- chord angle x is half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

x = [tex]\frac{1}{2}[/tex] ( AB + CD ) = [tex]\frac{1}{2}[/tex] (45 + 23)° = 0.5 × 68° = 34°

Answer:

$72

Step-by-step explanation:

I did 36 x 2. I did not subtract the -6 for the prize money because it says not to.

Answer:

$72

Step-by-step explanation:

You are trying to determine how much money the school will take in before giving out prize money. Knowing this, you can actually ignore the $6 that the winner will get because you are not worried about giving out the prize money yet. You are only worried about how much you will make before the prize money.

So, you can do simple multiplication to find the answer:

price per game * amount of people playing game = money made from games

$2 * 36 = x

$72 = x

Answer:

Height After 8 weeks: 14 inches

Height after w weeks: y=0.5w+10

Step-by-step explanation:

The equation of the sunflower is y=0.5x+10.

Height after 8 weeks: y=0.5(8)+10

y=4+10

y=14

Height After 8 weeks: 14 inches

Height after w weeks: y=0.5w+10

If this helps please mark as brainliest

Answer:

4y+x - 16 = 0

Step-by-step explanation:

Given the equaton y - 2 = 4 (x-1)

Get the slope of the line

y - 2 = 4x  - 4

y =  4x - 4 + 2

y = 4x - 2

Since y = mx+b for a line

mx = 4x

m = 4

Slope of a line perpendicular M = -1/4

If the line passes through the point (-4, 5)

The equation in point slope form is expressed as y-y0 = m(x-x0)

Substitute;

y - 5 = -1/4(x-(-4))

y - 5  = -1/4(x+4)

4(y-5) = -(x+4)

4y - 20 = -x-4

4y+x-20+4 = 0

4y+x - 16 = 0

This gives the required equation

Answer:

44.

Step-by-step explanation:

Given expression: [tex]3t^2-t[/tex]

To find the value of [tex]3t^2-t[/tex] where t = 4, we need to substitute t for 4 in the expression.

After substituting, we use PEMDAS (the order of operations) to solve. This is because this problem includes multiple operations.

[tex]3(4)^2-4[/tex]

[tex]=3(16)-4[/tex]

[tex]=48-4[/tex]

[tex]=48-4=44[/tex]

[tex]\to \inft3(4)^2-4=44[/tex]

Therefore, the value of [tex]3t^2-t[/tex] is 44, when t = 4.

Answer:

Part A:3.2

Part B:6.25

Step-by-step explanation:

Map:Actual

4cm:5km

1cm:1.25cm

Part A:

?cm:4km

3.2cm:4km

Part B:

5cm:?km

5cm:6.25km

Answer:

x = 24

y = 59

Step-by-step explanation:

To solve for x, we can say that;

(5x) + (2x + 12) = 180

7x + 12 = 180

7x = 180 - 12

7x = 168

x = 168 / 7

x = 24

To solve fore y, we can say that;

(3y) + (y - 56) = 180

4y - 56 = 180

4y = 180 + 56

4y = 236

y = 236 / 4

y = 59

Hope this helps!

Step-by-step explanation:

option A

3 IS CORRECT

HOPE IT HELPS

Answer:

3

Step-by-step explanation:

edge 2021

Answer:

133.33%

Step-by-step explanation:

x/y * k = 1.6x / 1.2y

k = (1.6x / 1.2y) / (x/y)

k = 1.6/1.2

k = 4/3 = 1.3333 = 133.33%

Answer:

Yes it is 10!

Step-by-step explanation:

5+20=25

25x5=125

125+125=250

250-200=50

50/5=10

Answer:

d. Keisha did not make a mistake

Step-by-step explanation:

3+(-4)-7

3+(-4)+(-7) adding negatives is the same as subtracting

3+(-11) -4 and -7 do make -11

-8 3 and -11 do make -8

So she did it correctly, which means d is the right answer.

:) ur welcome

Answer:

437.3ft

Step-by-step explanation:

last of sines

a/sin(A) = b/sin(B) = c/sin(C)

sin(90) = 1

the angle between y and 500ft side is 90-29 = 61 degrees.

so,

x/sin(61) = 500/1 = 500

x = 500 × sin(61) = 437.3ft

In a triangle, value of [tex]x = 437.4[/tex] units (round to nearest tenth) using trigonometric ratio.

"Trigonometric ratio is defined as in a right triangle the relation between the ratio of a sides of a triangle and the angle."

Formula used

[tex]sin\theta = \frac{opposite sides}{hypotenuse}[/tex]

[tex]cos\theta = \frac{adjacent sides}{hypotenuse}[/tex]

According to the question,

In a given right triangle ABC,

Hypotenuse [tex]=500 ft[/tex]

Opposite side [tex]= x ft[/tex]

Adjacent side [tex]= y ft[/tex]

As per the diagram drawn,

 [tex]\angle BAC+ 29\° = 90\° \\\\\implies \angle BAC = 90\° -29\° \\\\\implies \angle BAC = 61\°[/tex]

Substitute the value in the above trigonometric ratio formula we get,

[tex]sin61\° = \frac{x}{500}\\\\\implies 0.8747 = \frac{x}{500}\\\\\implies x = 500 \ times 0.8747\\\\\implies x = 437.35 ft[/tex]

[tex]\implies x = 435.4 ft[/tex] (round to nearest tenth)

In trigonometric ratio [tex]cos\theta[/tex] we get,

[tex]cos61\° = \frac{y}{500}\\\\\implies 0.4848 = \frac{y}{500}\\\\\implies y= 500 \ times 0.4848\\\\\implies y = 242.2 ft[/tex]

Hence , In a triangle, value of [tex]x = 437.4[/tex] units (round to nearest tenth) using trigonometric ratio.

Learn more about trigonometric ratio here,

https://brainly.com/question/1201366

#SPJ2

Answer:

21%

Step-by-step explanation:

Since both 100 and 79 is the percentage, you need to find how much has decreased, so you have to subtract.

100-79 = 21

So, 21% was decreased.