Write the following phrase as an algebraic expression. Use x for the unknown number.
The sum of -8 and five times a number.

Answer:

The answer would be B. y= -0.5x+4.

Answer:

He is wrong.

Step-by-step explanation:

Usually a bracelet has at least 5 beads, so with 25 beads the maximum is 5 bracelet.

Answer:

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality"

Step-by-step explanation:

I learned it.

Answer: The points are

(-1,2)

(0,1)

(1,2)

The graph is below

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

Explanation:

The idea is to replace x with the values mentioned (one at a time) and find the paired y value

For example, if x = -1, then...

y = x² + 1

y = (-1)² + 1

y = 1 + 1

y = 2

So (-1,2) is one point on the parabola. Follow similar steps to find the other points (0,1) and (1,2)

I used GeoGebra to make the graph shown below.

The code is CSHDG.

when you break a number down into smaller numbers that, multiplied together, give you that original number.

Given:

G: x² +2x -8 / 2x³ -24x² +64x

=(x+10)(x-8)/ 2x(x-4)(x-8)

=x+ 10/ 2x(x-4)

D: 6x³ + 42x²/2x² + 26x +84

=6x²(x+7)/2(x+7)(x+6)

=3x²/(x+6)

C: x³ -x²-42x/2x² -20x + 42

=x(x-7)(x+6)/(x-3)(x-7)

x(x+6)/(x-3)

S:2x² -10x +48 /8x+ 64

=2(x+8)(x-3)/8(x+8)

H: 3x² -39x + 90/ x²-3x-90

=3 (x-3)(x-10)/(x+7)(x-10)

=3(x-3)/(x+7)

Hence, the matching code is CSHDG.

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The complete question is attached below.

The statements which are true about perpendicular lines are;

Perpendicular lines in their simplest description are lines which meet or cross each other forming a right angle, 90°.

Also, It follows from line geometry that such lines have their slopes as opposite reciprocals.

Consequently, their slopes are such that; m1 × m2 = -1.

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One example can be:

"Amount of sugar that you put in your coffee and the calories of that coffee."

Where:

Any two quantities that are related in any way are related variables.

Some examples are:

etc...

The independent variable is the one that we can control, and the dependent variable is the one that changes in response to the independent one.

In the last example, the independent variable is the amount of sugar that you put in your coffee because you decide how many spoons you want.

And the dependent variable is the amount of calories in that coffee, that will depend on how much sugar you put there.

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Simplify

2

g

−

(

8

−

g

)

.

Tap for more steps...

3

g

−

8

=

7

g

−

10

Move all terms containing

g

to the left side of the equation.

Tap for more steps...

−

4

g

−

8

=

−

10

Move all terms not containing

g

to the right side of the equation.

Tap for more steps...

−

4

g

=

−

2

Divide each term in

−

4

g

=

−

2

by

−

4

and simplify.

Tap for more steps...

g

=

1

2

The result can be shown in multiple forms.

Exact Form:

g

=

1

2

Decimal Form:

g

=

0.5

Answer:

a) 3m + 4 = 6m is false.

Step-by-step explanation:

A) 3m + 4 = 6m

→ 3(6) + 4 = 6(5)

→ 18 + 4 = 30

→ [ 22 ≠ 30 ]

So, the equation is false.

B) -5(t - 7) = 10

→ -5(5 - 7) = 10

→ -5 × -2 = 10

→ [ 10 = 10 ]

So, the equation is true.

C) 17 = 4x - 3

→ 17 = 4(5) - 3

→ 17 = 20 - 3

→ [ 17 = 17 ]

So, the equation is true.

D) t + 9 = 14

→ 5 + 9 = 14

→ [ 14 = 14 ]

So, the equation is true.

The scale of a map is 1:500 000. The actual area of the lake in km is 3x10¹² km².

The ratio between a distance on a map and its actual distance on the ground is known as the map's scale. Since scale must vary throughout a map due to the curvature of the Earth's surface, this straightforward idea is made more difficult.

• If 1 centimeter on a map corresponds to 500 000 km on the earth, then 1 cm2 would be equivalent to 1 cm² = (500000km) 2

=25×10¹⁰ km²

• The lake's exact area may now be determined by multiplying 12 cm² by 25 × 10¹⁰ km² (3 × 10¹² km²)

As a result, the distance between the towns is 0.000344 cm on the map, while the lake's real area is 3x10¹² km².

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The reason is that the binomial formula is telling us the probability of a particular number of successes. Let’s take 5 turns at bat for a baseball player who gets hits 20% of the time. We want to find the probability that he will get exactly 2 hits. He could get hits on tries 1 & 2, 1&3, 1&4, 1&5, 2&3, 2&4, 2&5, 3&4, 3&5, 4&5. There’s no difference between getting hits on the 1st & 2nd, and getting hits on the 2nd and 1st. They’re the same thing. A permutation would treat those as different, when in reality the order doesn’t matter.

The reason the Binomial Distribution is able to use a combination as oppose to a permutation is because of the symmetry of these types of problems.

Suppose you have n objects of 2 categories. x of them are in the first category and y in the second. Therefore the number of ways you can arrange these n objects is:

Since this also describes the number of ways you can arrange failures and success in a binomial problem, let’s substitute this in place of the combination:

where x = number of repeats in successes and y = number of repeats in failures

Therefore expressing the Binomial Distribution as a combination simplifies the process slightly. However, it’s important to recognize that the combination used is actually a permutation in disguise; it must be a permutation because order matters in the context of Binomial Distributions. The combination doesn’t directly explain the number of ways to arrange the successes and failures, but can be equated to the permutation that does.

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The degree of the sum of the polynomials is 6 while the degree of the difference of the polynomial is 7.

An equation is an expression that shows the relationship between two or more numbers and variables.

A polynomial's degree is the highest exponent of a variable in a polynomial equation.

Given the polynomial 3x⁵y - 2x³y⁴ - 7xy³ and -8x⁵y + 2x³y⁴ + xy³

The sum of the polynomials = (3x⁵y - 2x³y⁴ - 7xy³) + (-8x⁵y + 2x³y⁴ + xy³) = -5x⁵y - 6xy³

The difference of the polynomials = (3x⁵y - 2x³y⁴ - 7xy³) - (-8x⁵y + 2x³y⁴ + xy³) = 11x⁵y - 4x³y⁴ - 8xy³

The degree of the sum of the polynomials is 6 while the degree of the difference of the polynomial is 7.

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The possible row arrangements for the football cheerleaders are (4×4) or (8×2).

For the given expression.

The total of football cheerleaders = 16.

Each row consists of same number of cheerleaders.

For, this find the factors of 16;

16 = 2×2×2×2

The possible combinations for getting 16 is;

either (4×4) and (8×2).

This can be written as;

There are four rows such that each row contains 4 cheerleaders;

4×4 = 16

Or, they could be arranged as 2 rows with 8 cheerleaders or 8 rows with 2 cheerleaders in each, both are correct.

This can be written as two rows of 8; 8×2 = 16

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Answer:

6n - 5

Step-by-step explanation:

We find the jump between every 2 terms :

7 - 1 = 6

13 - 7 = 6

19 - 13 = 6

Now we know this will be the co-efficient of n and the 0th term will be added to the term :

1 - 6 = -5

So our final answer will be 6n + (- 5 ) = 6n - 5

Hope this helped and have a good day

Answer:

x + 2x = 1161

3x = 1161

x = 1161/3 = 387

2x = 2(387) = 774

cost of coffee table: $387

cost of couch: $774

Step-by-step explanation:

Answer:

3.89

Step-by-step explanation:

Answer:

Scale factor is a ratio between an object and a new object, which is said to be the same object but in a new size or form.

you factor the problem,

your answer:

-1x3xmxmxnxn

Answer:

x10 gallons

Step-by-step explanation:

you said it

Answer:

  11

Step-by-step explanation:

Given two expressions involving the same unknown number, you want to find the number.

  3(x +4) . . . . three times the sum of a number and 4

  6x -21 . . . . 21 less than the number times 6

These two expressions have the same value, so we can write the equation ...

  3(x +4) = 6x -21

Eliminating parentheses, we have ...

  3x +12 = 6x -21

  33 = 3x . . . . . . . . add 21-3x

  11 = x . . . . . . . . . divide by 3

The number is 11.

The monthly cost C expressed in terms of minutes of call is: C=19.5+0.16x

The monthly cost if you make 367 minutes of call is $78.22

How the monthly cost modeled?

The monthly cost is modeled using the straight-line equation which comprises of the monthly access fee, which is the fixed charge and the variable charge per minute of $0.16

C=19.5+0.16x

x is the number of minutes of call time

monthly cost when x is 367 minutes

monthly cost=19.5+(0.16*367)

monthly cost=19.5+58.72

monthly cost=$78.22

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The point that represents an INEFFICIENT point of production is point A.

The correct answer is an option (a)

In this question we have been given a graph of Skateboards vs. Bikes.

We need to find the point that represents an INEFFICIENT point of production.

Inefficient production means the economy can be producing more goods without using any additional resources.

In given production possibility curve, an INEFFICIENT point of production is point A.

Therefore, the point that represents an INEFFICIENT point of production is point A.

The correct answer is an option (a)

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[tex]( \frac{6d}{d {}^{4} } ) {}^{ - 2} \\ [/tex]

Take the reciprocal of the inside to get rid of the negative exponent.

note: reciprocal=flip it over

[tex]( \frac{6d}{d {}^{4} } ) {}^{ - 2} = ( \frac{d {}^{4} }{6d} ) {}^{2} \\ [/tex]

Before we continue we can notice that the inside is reducible since we have d's in the numerator and the denominator.

note: d=d^1

[tex] \frac{a {}^{m} }{a {}^{n} } = a {}^{m - n} \\ [/tex]

[tex]( \frac{d {}^{4} }{6d} ) {}^{2} =( \frac{1}{6} \times \frac{d {}^{4} }{d}) = ( \frac{d {}^{4 - 1} }{6} ) {}^{2} = ( \frac{d {}^{3} }{6} ) {}^{2} \\ [/tex]

[tex]note \: that \\ ( \frac{ \omega}{ \eta} ) {}^{x} = \frac{ \omega {}^{x} }{ \eta {}^{x} } [/tex]

[tex]( \frac{d {}^{3} }{6} ) {}^{2} = \frac{(d {}^{3}) {}^{2} }{6 {}^{2} } = \frac{d {}^{3 \times 2} }{36} = \frac{d {}^{6} }{36} \\ [/tex]

Answer:

[tex] \frac{9}{20} [/tex]

Step-by-step explanation:

[tex] \frac{3}{4} \times \frac{9}{15} [/tex]

The denominator 15 will be divided by the numerator 3 giving :

[tex] \frac{1}{4} \times \frac{9}{5} \\ = \frac{1 \times 9}{4 \times 5} [/tex]

Final answer:

[tex] \frac{9}{20} \: or \: 0.45[/tex]

The values of k such that both points are 2√26 units apart are 6 and 8, respectively.

Herein we know the coordinates of the ends of a line segment, the distance between the two points can be represented by Pythagorean theorem, whose formula is:

104 = (4 - k)² + [3 - (- 7)]²

104 = 16 - 8 · k + k² + 100

4 = 16 - 8 · k + k²

k² - 8 · k + 12 = 0

(k - 6) · (k - 8) = 0

The values of k such that both points are 2√26 units apart are 6 and 8, respectively.  

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Answer:40 carrots

Step-by-step explanation:

2x8=16 and there's 16 so there for  5x8=40

hope this helps :)