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 $a$ and $b$ are integers?

Answer:

-2g -10

Step-by-step explanation:

On simplifing this expression we get,

-2(g+5)

=> -2g + (-10)

=> -2g - 10

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Answer:

-2g-10

Step-by-step explanation:

-2(g+5)

Use the distributive property to simplify the equation

(-2*g)+(5*-2)

(-2g)+(-10)

-2g-10

Hope this helps. Have a nice day. May it be filled with joy ad happiness. Please, be safe and wash your hands. Happy Holidays.

Answer:

8/3

Step-by-step explanation:

Given that:

Cost of violin = 13200 plus VAT at 20%

Cost of violin = (100 + 20)% * 13200

Cost of violin = 1.20 * 13200 = £15,840

Instalment pay = (360 * 12) = 4320

Therefore, deposit made equals ;

Total cost - Instalment pay

£(15,840 - 4320) = £11,520

Hence, ratio of deposit made to the total Instalment payment made ;

£11520 / £4320 = 8 / 3

Answer:

The slope of a line is change in Y / change in X. The slope of a horizontal line = 0, not undefined. The slope of a vertical line = undefined.

the slope of a virtual lin.e is change in Y / change in X

Answer:

The 3rd answer because each income has an outcome.

Step-by-step explanation:

Answer:

4th option is correct.

Answer:

y = - x

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (2, - 2) ← 2 points on the line

m = [tex]\frac{-2=2}{2+2}[/tex] = [tex]\frac{-4}{4}[/tex] = - 1 , thus

y = - x ← equation of line

Answer:

A S A

Step-by-step explanation:

In ΔACE & ΔBCD,

   ∠A ≅ ∠B      {Given}     Angle

  AC = BC           {Given}    Side

  ∠ACE = ∠BCD    { Reflexive property} Angle

ΔACE ≅ ΔBCD      ------>A S A Property

Answer:

y = 3

Step-by-step explanation:

The equation of a line is;

y = mx + c

Now, when f(0) = 3, it means at x = 0, y = 3.

Thus;

3 = 0 + c

3 = c

Also, f(−6) = 3

Thus;

3 = -6m + 3

6m = 3 - 3

6m = 0

m = 0/6

m = 0

Thus,equation is;

y = c

y = 3

Answer:

I think the answer is A

Step-by-step explanation:

Answer:

First of all A and B are Letters not numbers...

Answer: a-b

Step-by-step explanation:

Answer:

y ≤ x - 1

Step-by-step explanation:

The slope is 1 (every unit for x, there is a unit for y, rise/run is 1/1). The y-intercept is -1, because the line crosses the y-axis at -1. The graph is shaded below the line, and the line is solid, meaning that y is less than or equal to x -1, or y ≤ x - 1.

Answer:

Step-by-step explanation:

Answer:

For the first picture: m angle t=36 and m angle v=54

For the second picture:m angle P=55 m angle Q=81 and m angle QPR=180

Step-by-step explanation:

For the first picture, you had to do 2x+3x+90=180

We got the 90 from the right triangle.

Then you combine like terms, which was then 5x=90=180

Then, you subtract the 90 from both side, leaving 5x=90

Divide 90 by 5, which gives you x=18

For both the answers, you had to do 2(18) for T and 3(18) for V

The second picture, you did (8y + 1) + (5y + 5)= 136

You combine like terms, which levas you with 13y + 6 = 136

You subtract 6 from both sides, leaving you with 13y= 130

Divide 130 by 13, which is 10 so y=10

You then replace the y for (8y + 1) to 10 and solve

As well as for (5y + 5), you replace the y with 10 and solve

And m angle QRP is 180 because every triangle has a total of 180 degrees

Hope this helped!

Answer:

sorry

Step-by-step explanation:

Answer: thats soo ez just do it

Step-by-step explanation:

Answer:

Your answer would be x = -240

Step-by-step explanation:

1. First do 2-12 to get a denominator of -10.

2. Multiply -10 on both sides to get x = 24 * -10

3. Solve 24 * - 10 to get x = -240

Answer:

C my dude. have a merry christmassss

Answer:

A

Step-by-step explanation:

Both are negative, and largest is always first.

The solution is : she needs at least 16 points.

x + 64 ≥ 80

x ≥ 16

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

Given

Madeline has to earn at least 80 points for her science fair project. So far on the rubric she has 64 points.

so,

Total = 80 (at least)

accumulated = 64

Required

Express as an inequality

In inequalities, at least means ≥

So, the expression is:

Where x represents the additional points

x + 64 ≥ 80

Solve for x

x ≥ 16

Hence, she needs at least 16 points.

To learn more on inequality click:

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Step-by-step explanation:

please i work on by paper worksheet, see it

how can i work it

Answer:

The volume of a rectangular prism = V = 140 m³

Step-by-step explanation:

Given:

To Determine:

Using the formula to determine the volume of the prism

V = l × w × h

V = 4 × 5 × 7

V = 140 m³

Therefore, the volume of a rectangular prism = V = 140 m³

Answer:

what are you asking though

Answer:

Ameliorate retort, pertaining to reinstating interrogate is B., -12.

Step-by-step explanation:

Availing albeit maneuvering the Order of Operations (OO), the contiguous albeit proximate expression may evaluate as the preeminent imminent:

- Thus, the ameliorate retort, reinstating interrogate is the aggregate, -12.

*Hope this helps.

The sum of all the angles in a triangle is equal to 180°

Since the given triangle is an isosceles ∆ therefore the angles opposite to the equal sides with also be the same.

now from the diagram: 90° + 2x° = 180°

Therefore x = 45

Answer:

The equation of a line:

The graph of the line is attached below.

Step-by-step explanation:

Given the points

Finding the slope between (3,-4) and (3,-1)

(x₁, y₁) = (3,-4)

(x₂, y₂) = (3, -1)

Using the slope formula

m = y₂-y₁ / x₂-x₁

    = -1-(-4)) / 3 - 3

    = -1 + 4 / 0

m  = ∞

The slope of the line is undefined, then, by definition, the line would be a vertical line.

As the line that passes through the points (3,-4) and (3,-1)

Thus, the equation of a line:

The graph of the line is attached below.

Answer:

angle 3=145

Step-by-step explanation:

1 is complementary meaning add up to 90 so if 1 is 55 then 90-55=35. m<2=35

if 2 and 3 is supplementary meaning adds up to 180 then 180-35=145

The given decimal number 9.78778777... is non-terminating and non-recurring it is an irrational number.

The given decimal number is 9.78778777....

We need to check whether the given decimal number is a rational or irrational number.

Rational numbers: Rational numbers are in the form of p/q, where p and q can be any integer and q ≠ 0. This means that rational numbers include natural numbers, whole numbers, integers, fractions of integers, and decimals (terminating decimals and recurring decimals).

Irrational numbers: Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integers. The denominator q is not equal to zero (q ≠ 0). Also, the decimal expansion of an irrational number is neither terminating nor repeating.

So, from the definition of rational and irrational numbers, we can say the given decimal number 9.78778777... is irrational.

Since the given decimal number 9.78778777... is non-terminating and non-recurring it is an irrational number.

To learn more about rational and irrational numbers visit:

https://brainly.com/question/3386568.

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Answer: The price of desk is 15 and the price of the chairs 5

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

The original was $20 to $12, so if you divide both prices by 2 (to make one side 10 and the other the simplified percentage) you get:

10 to 6.

Percentages are typically x% out of 100, so if you multiply both by 10 you get:

100 to 60. All you have to do now is change the format to percentage instead of a fraction (60/100) and the answer is 60%.

≧◡≦

Mocha here! If this answer helped you, please consider giving it brainliest because I would appreciate it greatly. Have a wonderful day!

Answer:

a i think

Step-by-step explanation:

Answer:

15,625

Step-by-step explanation:

2h=120m

120/20 = 6

5^6 = 15,625

Answer:

-5.1 , -14/3, -4

Step-by-step explanation:

In the negative side of the numberline -5 is lesser than -14/3 and -4.

Also -14/3 is aproximatedly -4. 6. so its less than -4

Answer:

1. -5.1

2. - 14/3

3. -4

Explanation:

- 14/3 is equal to -4.6 repeating. We can check this by dividing 14 by 3 and adding the negative sign. So -4 is the greatest number of the numbers, and -5.1 is the least since it is the most of the negative numbers. - 14/3 would go in the middle because it isn't greater than -4 nor less than -5.1.

Hope this helps!

I hope I explained well!