Consider the function f(x)=15x^2+60x-19
Name the vertex for the function

Answer:

(-4.666667, -3.16667)

Step-by-step explanation:

(-4 2/3, -3 1/6)

9514 1404 393

Answer:

  (x, y) = (7, 2 2/3)

Step-by-step explanation:

We can multiply the first equation by 2/5 to get ...

  8x -6y = 40

The second equation gives an expression for 6y that we can substitute.

  8x -(3x -5) = 40

  5x +5 = 40 . . . . . eliminate parentheses

  x +1 = 8 . . . . . . . .divide by 5

  x = 7 . . . . . . . . . .subtract 1

Using the second equation, we find ...

  3(7) -5 = 6y

  y = 16/6 = 2 2/3

The coordinates of the point of intersection are (x, y) = (7, 2 2/3).

Step-by-step explanation:

see attached. hope it's helps

Answer:

The Least Common Denominator of 3/4, 4/5 and 2/3

Would be,

4 × 5 × 3 = 60

Hence,

60 is the L.C.D of 3/4, 4/5 and 2/3

Answer:

1st question:  C

2nd question: Increasing (the slope)

3rd question:  don't understand what's being asked

Step-by-step explanation:

Answer:

the answers are

Step-bythe answers are -step explanation:

1.C

2.a

3.B

Answer:

2

Step-by-step explanation:

Answer:

170 cm²

Step-by-step explanation:

Height of Cylindrical container = 18 cm ; diameter of cylindrical container = 6 cm.

Hence, radius of cylindrical container = 6/2 = 3 cm

Rubber balls = 3 each have a radius of 3 cm.

Volume of a cylinder = π r² h

V = 3.14 * (3cm)² * 18 cm

V = 508.68 cm³

Volume of rubber ball = 4/3 π r³

V = 4/3 * 3.14 * (3cm)³

V = 113.04 cm³

Volume of 3 rubber balls = 3 * 113.04 = 339.12³

Take the difference to obtain answer :

Volume of cylinder - Volume of rubber ball

508.68 cm³ - 339.12³

= 169.56 cm²

170 cm² (nearest whole number

bac=57

Step-by-step explanation:

lmk=50

abc= 63 (if they are parallel)

*see attachement for diagram

Answer:

Sal would pay $93.53 to tile his entryway.

Step-by-step explanation:

Given:

1 unit = 1 foot

Tile cost = $2.15 per square foot

To find how much will lay to tile the entry way represented on the grid in the image below, we have to find the area of the entryway he wants to tile.

The entry way can be decomposed into a trapezoid and a parallelogram. The upper shape form the middle is a trapezoid while the down part from the middle is a parallelogram.

✔️Area of the trapezoid = ½(a + b)*h

Where,

a = 7 ft

b = 4 ft

h = 5 ft

Area of the trapezoid = ½(7 + 4)*5

= ½(11)*5

= 27.5 ft²

✔️Area of the parallelogram = b*h

b = 4 ft

h = 4ft

Area of the parallelogram = 4*4 = 16 ft²

✔️Total area of the entryway to be tiled = 27.5 + 16 = 43.5 ft²

✅Cost to tile 1 ft² = $2.15

Therefore, cost to tile 43.5 ft² = 2.15*43.5 = 93.525 ≈ $93.53

✅Sal would pay $93.53 to tile his entryway.

Answer:

[tex]x = 48[/tex]

Step-by-step explanation:

Quotient means what you get when you divide a number by another number.

What we can do is make an equation using the information given, which turns out to be this:

[tex](\frac{x}{6}) - 2 = 10[/tex]

Add 2.

[tex]\frac{x}{6} = 8[/tex]

Multiply by 6.

[tex]x = 48[/tex]

Answer:

1D 2B 3A

Step-by-step explanation:

Answer:

A. The sampling distribution follows a normal distribution

B. With 90% confidence the mean number of names that all people can remember when introduced to 40 people at a party is between 17.04 and 19.28

C. If many groups of 55 randomly selected people were surveyed, then a different confidence interval would be produced for each group. About 90 percent of these confidence intervals will contain the true population mean number of names remembered and about 10 percent will not contain the true population mean number of names remembered  

Step-by-step explanation:

The given parameters are;

The known population standard deviation of the number of names that people can recall after being introduced to 40 people in a party, σ = 6.34 names

The number of people randomly selected in the survey, n = 55 people

The average number of names correctly remembered, [tex]\overline x_1[/tex] = 18.16

The standard deviation of the group surveyed, s = 4.28

A. Based on the Central Limit Theorem CLT, the sampling distribution follows a normal distribution

B. The 90% confidence interval is given as follows;

[tex]C.I.=\bar{x}\pm z_{\alpha /2}\cdot \dfrac{\sigma}{\sqrt{n}}[/tex]

Where [tex]z_{\alpha /2}[/tex] at 90% = 1.65, we have;

[tex]C.I.=18.16\pm 1.65 \times \dfrac{4.28}{\sqrt{55}}[/tex]

C.I. ≈ 17.20 < μ < 19.11

With 90% confidence the mean number of names that all people can remember when introduced to 40 people at a party is between 17.04 and 19.28

C. The 90% confidence interval gives the certainty that if different groups of 55 randomly selected people were surveyed, then about 90 percent of the confidence intervals will contain the true population mean number of names remembered and about 10 percent will not contain the true population mean number of names remembered.

Answer: $15,700 - $24,322= 8622

Step-by-step explanation:

All you have to do is subtract

Answer:

300.46

Step-by-step explanation:

318.56cm - 18.1

Answer:

304

Step-by-step explanation:

hope it helped you out

Answer:

30.52 feet.

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

Answer: 3.32276 units squared

Step-by-step explanation:

area of total sector=(pi*r^2)/360

=2^2 * 120pi /360

=4*120/360 * pi

=4.1887902

area of the triangle=(1/2)*base*height

the height is 1 (because you can divide the triangle down the middle to make a 30 60 90 triangle, and the sin(30)=x/2, so 2sin(30)=x, x=(1/2)*2

the base is equal to [tex]\sqrt{3}[/tex] because the base of the 30 60 90 triangle is 2sin(60), and sin60 is [tex]\sqrt{3}[/tex]/2, so you have to double that to get the area of the 120 degree triangle.

the area of the triangle is (1/2)*1*[tex]\sqrt{3}[/tex]=[tex]\sqrt{3} /2[/tex]=0.866025

so the difference is 4.1887902-0.866025

=3.32276 units squared

Answer:

Domain: [tex]Dom\{f\} = \{1,2,3,4\}[/tex], Range: [tex]Ran\{f\} = \{-4\}[/tex]

The relation is a function.

Step-by-step explanation:

Let be [tex]f[/tex] a relation. The domain of the relation is the set of first components of ordered pairs of the relation, whereas the range of the relation is the set of second components of ordered pairs of the relation. Hence, the domain and range of the relation are, respectively:

[tex]Dom\{f\} = \{1,2,3,4\}[/tex]

[tex]Ran\{f\} = \{-4\}[/tex]

A relation is a function if and only if every element of the domain has only one element of the range. This is the case for this relation, since there is just an element for range.

Answer:

A translation of 4 units up, followed by a reflection over the y-axis, followed by a rotation of 90° counterclockwise around the point shown on the figure.

Step-by-step explanation:

Hope it helps!

Answer:

Top right answer

Step-by-step explanation:

htam (:

Answer:

1. Split up the linear term: [tex]2x^{2}[/tex]+2x-3x-3

2. Group terms that have common factors: ([tex]2x^{2}[/tex]+2x)+(-3x-3)

3. Factor out the greatest common factor: 2x (x+1) -3 (x+1)

4. Factor out the greatest common factor: (x+1)(2x-3)

Answer: (x+1)(2x-3)

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

486

Step-by-step explanation:

for the 2nd term, add 5 to -9

for the 3rd, add 5 × 2 to -9

for the 4th, add 5 × 3 to -9

:

for the 100th, add 5 × (100 - 1) to -9

=> 5 × 99 + (-9)

=> 486

Answer:

42

Step-by-step explanation:

In order to find the answer to this question, I had to multiply 35 times 6/5.

35x6/5=42

You can check to make sure your answer is right by doing: 42x5/6=35.

You just have to multiply the number that we are using by the reciprocal of the fraction.

For instance: 2/3 of what number is 32

32x3/2= 48

48x2/3=32

The requried number is 42, where 5/6 of 42 is 35.

Fraction is defined as the number of compositions that constitutes the Whole.

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

Here,
Let the number be x,
According to the question,
5 / 6 x = 35
x = 35 × 6 / 5
x = 7 × 6
x = 42

Thus, the requried number is 42, where 5/6 of 42 is 35.

Learn more about fractions here:
https://brainly.com/question/10708469

#SPJ2

Answer:

y = -3x + 4

Step-by-step explanation:

Hey!

==================================================================

Slope-Intercept Form: y - mx + b, where m is the slope and b is the y-intercept (point where x =0).

Since we know that the slope is -3, we substitute that in for m.

⇒y = -3x + b

Now, we know the y-intercept is 4, so we substitute that in for b:

⇒y = -3x + 4

==================================================================

Hope I Helped, Feel free to ask any questions to clarify :)

Have a great day!

More Love, More Peace, Less Hate.

       -Aadi x

A) Use the distance formula to find the length of each side, and then add the lengths.

Answer:

6%.

Step-by-step explanation:

Answer: 23.53

Step-by-step explanation:

We have, 170% × x = 40

or,

170

100

× x = 40

Multiplying both sides by 100 and dividing both sides by 170,

we have x = 40 ×

100

170

x = 23.53

If you are using a calculator, simply enter 40×100÷170, which will give you the answer.

Answer:

28 ft = 9 yd and 1 ft

Answer:

16°

Step-by-step explanation:

Reference angle = [tex] \theta [/tex]

Side Opposite to reference angle = 14

Adjacent side = 48

Hypotenuse = 50

Let's apply arcsin:

Thus:

[tex] \theta = sin^{-1}(\frac{Opp}{Hyp}) [/tex] (recall: SOHCAHTOA)

Plug in the values

[tex] \theta = sin^{-1}(\frac{14}{50}) [/tex]

[tex] \theta [/tex] = 16.2602047° = 16°

Answer:

well this one is kind of obvious and you don't have to do any actual math with it. I'm 99% sure that when you have the two sets of coordinates you can find the slope. so the answer would be A. :)

Step-by-step explanation: