y = -7⁄2 x + 86
y = -7⁄2 (10) + 86
y = 51 points

The first step when rewriting y = 6x2 + 18x + 14 in the form y = a(x – h)2 + k is to factor out 6 from the first two terms

The standard vertx form of an expression is given as  y = a(x – h)^2 + k

Given the quadratic expression given as:

y = 6x^2  + 18x+ 14

Before a quadratic equation can be transformed to its vertex form, the coefiicient of x^2 must be 1.

To do that, you will factor out 6 from the first two terms to have:

6(x^2 + 3x) + 14

Hence the first step when rewriting y = 6x2 + 18x + 14 in the form y = a(x – h)2 + k is to factor out 6 from the first two terms

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The first step is factoring out the 6 from the 6x2 + 18x. 

Answer:

x = 60

Step-by-step explanation:

Because the triangle looks like an equalateral triangle meaning all sides and angles are congruent

So triangle equals 180 degrees and 60 times 3 equals 180

Step-by-step explanation:

x + x + x = 180° ( sum of interior angle of triangle is 180°)

3x = 180°

x = 180° / 3

x = 60°

Answer:

[tex] - 18 {x}^{2} {y}^{7} [/tex]

Step-by-step explanation:

[tex] - \frac{3}{10} xy(60x {y}^{6} ) = - \frac{3}{10} (60) \times x \times x \times y \times {y}^{6} \\ = - 18 {x}^{2} {y}^{7} [/tex]

Answer:

x => -7

Step-by-step explanation:

to solve this equation you should start by subtract 6 on both sides

-2x <= 3x + 35

then subtract 3x to both sides

-5x <= 35

then you divide both sides by -5

x => -7

you must change the signs because you multiplied it by a negative

Answer:

B) 70 °

Step-by-step explanation:

Given that the triangles AOC and BOC are congruent, the triangles OA and OB are likewise congruent and both represent the radius of a circle. Geometry tells us that an angle formed by two radii that are parts of two congruent triangles has the following dimensions:

m ∠ AOB = 2 · x (1)

Where x is the measure of angle BOC, in degrees.

And the measure of the angle AOC is: ( x= 70°)

∠ AOC = 70°

Answer:

I think its some sort of learning platform. Search it up.

Step-by-step explanation:

Hey!

Therefore, he sold 28 cups of lemonade

Bao sold 28 cups and spend $2.5 on 50 cups.

A word problem in math is a math question written as one sentence or more that requires children to apply their math knowledge to a 'real-life' scenario.

Given that, Bao is selling lemonade at $0.35 per cup.

We need to determine, number of cups he sold if he earned $9.80,

And,

Bao bought 50 paper cups for $0.50 each, how much he spent on them,

1) Let he sold x cups,

So,

0.35x = 9.8

x = 28

Therefore, he sold 28 cups.

2) Since, one cup is for $0.05 therefore,

50 cups = 50 x 0.05
= $2.5

Therefore, cost of 50 cups is $2.54

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Answer:

B

Step-by-step explanation:

Hope this helped and brainly please

Answer:

x = 1/3

Step-by-step explanation:

[tex] = > log_{(3x + 4)}125 = 3[/tex]

[tex] = > {(3x + 4)}^{3} = 125 \: ( \because \: log_{a}b = x = > {a}^{x} = b)[/tex]

[tex] = > 3x + 4 = \sqrt[3]{125} = 5[/tex]

[tex] = > 3x = 5 - 4 = 1[/tex]

[tex] \therefore \: \: x = \frac{1}{3} [/tex]

Hope you've understood the solution.

Answer:

  4 in

Step-by-step explanation:

The Pythagorean theorem tells you the square of the hypotenuse is equal to the sum of the squares of the other two sides. Solve this problem by writing that relationship using the given information, then solving the equation for the missing side.

__

  5² = 3² + ?²

  25 = 9 + ?² . . . . . simplify

  16 = ?² . . . . . . . . . subtract 9

  4 = ? . . . . . . . . . . . take the square root

The missing length is 4 inches.

[tex] \huge\green{\overline{\underline{\rm{\purple{꧁⫷ᴀɴsᴡᴇʀ⫸꧂ }}}}} [/tex]

[tex] \large\green{\overline{\underline{\rm{\red{•••••••••••••••••••••••••}}}}} [/tex]

[tex] 5^2 = 3^2 + ( \:)^2 [/tex]

[tex] 25 = 9 + (\:) ^2 [/tex]

[tex] 16 = (\:) ^2 [/tex]

[tex] \sf \green {{=4}} [/tex]

[tex] \large\green{\overline{\underline{\rm{\blue{•••••••••••••••••••••••••}}}}} [/tex]

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Answer:

no

Step-by-step explanation:

I never knew u had dba for math

Answer:

Airplane A.

Step-by-step explanation:

Answer:

A) How many pets are owned by my uncle.

Step-by-step explanation:

This question is NOT statistical because it has a definite answer.

There is one number that can represent how many pets are owned by let's say your uncle.

On the other hand, B, C, and D compare two different things.

Hope this helps!

Answer:

the 2nd option

Step-by-step explanation:

given a quadratic in standard form : y = ax² + bx + c (a ≠ 0 )

• if a > 0 then minimum turning point

• if a < 0 then maximum turning point

the graph here has a minimum turning point , so

the function has a positive leading coefficient.

the function is symmetrical about the y- axis , so is of even degree

the function has 1 turning point at (0, 2 )

the graph does not cross the x- axis so has 0 x- intercepts

Answer:

0.0095

Step-by-step explanation:

= 0.009455 ( as they are bigger than 4 )

= 0.0095

Answer:

The answer is C

Step-by-step explanation:

Answer:

I don't know the amount of years you need, but the formula to find this would be 5000(1.03x) with "x" representing the number of years

Answer:

90 degrees

Step-by-step explanation:

It is a right angle

The side of the square that is twice the area of one triangle (0.18 units²) is: 0.6 unit.

Area of a square = s², where s is the side length of the square.

1 square = 2(areas of triangles)

1 square = 2(0.18)

1 square = 0.36 units²

s² = 0.36

s = √0.36

s = 0.6 unit.

Length of the side of the square = 0.6 unit.

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Answer:

46 and 47.

Step-by-step explanation:

Let the 1st number be x,

Now,

or, x + x = 92

or, 2x = 92

or, x = 46

Again,

Let the 2nd number be x + 1

And,

x + 1 = 46 + 1 = 47.

The radius of the water bottle to the nearest hundredth is 2.01 cm

A cylinder is a solid figure with circular bases and height.

The volume of a cylinder = πr²h

h is the height  = 8.1cm

Volume = 103 cubic cm

Substitute into the formula to have
V = 3.14r² * 8.1
103 = 3.144 * 8.1 * r²

r = 2.01 cm

Hence the radius of the water bottle to the nearest hundredth is 2.01 cm

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Answer:

64%

Step-by-step explanation:

36% like everything else, leaving a 64%

Answer: 64%

Step-by-step explanation:

9 + 6 + 15 + 6 =36

popcorn = 100- 36% = 64%

64/100 × 84/1

#1

Change of base formula is given by

[tex]\\ \rm\Rrightarrow log_ab=\dfrac{log_db}{log_da}[/tex]

#2

Two most common bases are

As general logarithm has base 10 and natural has base e hence these two are most used

#3

We use e as base

[tex]\\ \rm\Rrightarrow log_23[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{log_e3}{log_e2}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{ln3}{ln2}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{1.0986122886681}{0.6931471805599}[/tex]

[tex]\\ \rm\Rrightarrow 1.6[/tex]

The linear function that represents the amount of money in dollars Anton would have saved is given by:

C y = 15x + 300

A linear function is modeled by:

y = mx + b

In which:

Taking the amounts from 10 and 20 hours, it is found that in 10 hours he saves $150, hence the slope is given by:

m = 150/10 = 15.

Considering that after working 10 hours, the amount he had saved was $450, and he saves $150 in 10 hours, his initial amount was given by:

b = 450 - 150 = 300.

Thus, the equation is given by:

y = 15x + 300.

Which means that option C is correct.

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Answer: 20.48

Step-by-step explanation: you add 5.12 four time then you get 20.48.

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We can  rewrite (z ≤ −1.75) in order to  4%.

We have given that  (z ≤ −1.75).

We have to use the Normal Distribution is symmetrical

The normal distribution is symmetric and has a skewness of zero.

[tex]P(z \leq -1.75)[/tex]

[tex]P(z > > 1.75)[/tex]

[tex]1 - P(z \leq 1.75)[/tex]

[tex]1 - 0.9599[/tex]

[tex]0.04001 \times 100=4.001 \%[/tex]

That is nothing but the 4%

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Answer:

Step-by-step explanation:

How much money, in dollars, per band member, still needs to be raised for the trip?

A local business agrees to donate an additional $0.50 for each $1.00 in ticket sales to the band for their trip. What is the least number of concert tickets the band must sell in order to raise the rest of the money needed for the trip?

Step-by-step explanation:

The absolute value of any equation can never be negative.

|4x - 2| = -6 has a negative value -6.

The |4x - 2| = -6 has no solution for x because |x| can not be negative.