The graph of the function, f(x) = x2 - 5x - 7 opens
and has a
value.

The original price of the guitar is $120

From the question, we have

guitar is on sale for 3/4 of the original price (p).

3/4*p = $90

p = (90*4)/3

p= $120

Divide:

Divide, in its simplest form, means to divide into two or more equivalent portions, spaces, groups, or divisions. Divide, in plain English, means to provide the entire thing to a group in equal portions or to divide it into equal pieces. Let's say a square is divided into two triangles with equal areas by a diagonal. A division operation may or may not provide an integer as the outcome. The outcome may occasionally take the form of decimal numbers.

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The third congruent side is not included the side of angles thus it will be congruent by the AAS rule thus option (B) is correct.

If two figures are exactly the same in sense of their length side all things then they will be congruent.

In other meaning, if you can copy a figure then that copy and the original figure will be congruent.

As per the given two triangles,

The two angles are congruent.

The sides which are congruent in both triangles are not the common side of angles or not included in the side of angles thus it will be AAS congruency.

Hence "The third congruent side is not included the side of angles thus it will be congruent by the AAS rule".

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Answer:

5 whole laps + 1/4 of a lap. Or, 5.25 laps

Step-by-step explanation:

We can solve this 2 ways.
First, we can continuous add 4/3rds to itself until we reach 7 miles.

4/3 + 4/3 = 2 2/3
+ 4/3 = 4
+ 4/3 = 5 1/3
+ 4/3 = 6 2/3
Then you see that we are almost at 7. We have 1/3 left until we reach 7. 1/3 is 0.25% of 4/3, so its only 25% of a lap. That plsu the 5 other laps we did would equal 5.25 laps.

An easier way is 7 divided by (4/3), which is 5.25.

Good Luck! Hope this helps.

Answer:

B. -x^2-2

Step-by-step explanation:

-x^2 would max out at 0, so you need to shift it down by 2 (hence the -2) to have the correct function.

Hope this helped!

Reciprocal functions have a general form of:

Let's see which of the given functions follow same form:

All the other functions are either linear or quadratic functions.

The amount after four years is £2649.79 .

Now we know that we need to obtain the rate for the compounding of the money and we need to recall that for the amount, we have;

A = P(1 +r/n)^nt

A = amount

P = principal

r = rate

n = number of times compounded

t = time

For one year in which the interest is compounded annually;

2496.96 = 2448(1 + r)^1

2496.96/ 2448 = (1 + r)

1.02 = 1 + r

r = 1.02 - 1

r = 0.02 or 2%

Now after four years;

A = 2448(1 +  0.02)^4

A = £2649.79

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Area of the base 'B' of a given rectangular prism is equal to 12 ft².

As given in the question,

For the given rectangular prism ,

Shape of the base is rectangle,

Length of the base of a rectangular prism = 4 ft

Width of the base of a rectangular prism = 3ft

Area of the base of a rectangular prism is given by

= ( length of the base ) × ( Width of the base)

Substitute the value of length and width of the base of the rectangular prism we get,

= ( 4 × 3 ) ft²

= 12 ft²

Therefore, area of the base 'B' of given rectangular prism is equal to 12 ft².

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Answer:

Step-by-step explanation:

The total bill that will be paid by the friends is $88.27.

Cost of meal = $72.50

Sales tax = 6.75%

The amount on tax will be:

= 6.75% × $72.50

= $4.89

Tip = 15% × $72.50

Tip = $10.88

The total bill will be:

= Cost of bill + Tax + Tip

= $72.50 + $4.89 + $10.88

= $88.27

The cost is $88.27.

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Answer:

C

Step-by-step explanation:

the answer is 148 the reason is two angle interception

Step-by-step explanation:

The angle on top of x(x+4) is equal to 148.

The angle at x(x+4) = 180 -148 = 32

[tex]x(x + 4) = 32 \\ {x}^{2} + 4x = 32 \\ {x}^{2} + 4x - 32 = 0 \\ (x - 4)(x + 8) = 0[/tex]

x-4=0

x=4

x+8=0

x=-8

No, this solution is not valid because of wrong concept and wrong calculations as he solved  [tex]\frac{10^{-7} }{10^{-2} }[/tex]  as [tex]10^{-7 + (-2)}[/tex]  but it should be solved as [tex]10^{-7-(-2)}[/tex] .

These exponents can be split since they all share the same base, x. You divide them by the highest exponent in the numerator (the numerator) and the lowest exponent in the denominator (the bottom exponent).

So according to it,

As they have same the base i.e. 10, we will subtract their power which would be like  [tex]10^{-7-(-2)}[/tex]  = [tex]10^{-5}[/tex] not the [tex]10^{-9}[/tex].

Hence, the solution is not valid due to the wrong concept and wrong calculations.

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Part a:  The side of the square is found as 6 cm.

Part b: The side length of the square is found as 10 cm.

For the given dimensions for the question,

Part a: Area of square is same as area of rectangle.

Rectangle area = Length x breath

Rectangle area =  18 x 2

Rectangle area =  32 sq. cm

Now,

Area of square = Rectangle area

Area of square = side²

36 =  side²

side = √36

side = 6 cm.

Thus, the side of the square is found as 6 cm.

Part b: Side length of square.

Rectangle perimeter =  square perimeter

Rectangle perimeter =  2(length + width)

Rectangle perimeter =  2(18 + 2)

Rectangle perimeter =  40

square perimeter = 4 side

40 = 4 side

side = 40/4 = 10 cm.

Thus, the side length of the square is found as 10 cm.

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Answer: [tex]\frac{7}{3}[/tex]

Step-by-step explanation:

The two points found on the graph are:

The slope can be calculated as:

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{-3-4}{-1-2} =\frac{-7}{-3} =\frac{7}{3}[/tex]

Answer:

x= -3/5

Step-by-step explanation:

2x+21/5=3

2x+21/5-21/5=3-21/5           (subtract 21/5 from both sides)

2x=3-21/5                            (L.C.M=5)

2x= 15-21/5

2x= -6/5

2x/2=-6/5/2                        (divide both sides by 2)

x= -6/5x1/2                          (reciprocal)

x= -6/10

simplify:

x= -3/5

An equation to model this situation is M = t/3 + 3, which is shown in the graph attached below.

In order to solve this word problem, we would assign variables to the amount of time taken by Rick's bus ride and Matt's bus ride to school, and then translate the word problem into algebraic equation as follows:

Therefore, translating the word problem into an algebraic equation, we have the following;

M = 1/4(t) + 3

M = t/3 + 3

Based on the graph (see attachment) which models the relationship between the amount of time taken by Rick's bus ride and Matt's bus ride, we can logically deduce that the slope of the graph is 1/4 and the y-intercept is equal to 3.

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-691 is the value of the expression −||6c−16b||+1 when a=−12, b=34, and c=−23.

An expression is combination of variables, numbers and operators.

The given expression is −||6c−16b||+1

The values of c is minus twenty three, the value a is minus twelve and the value of b is thirty four.

−||6c−16b||+1

-||6(-23)-16(34)||+1

-||-138--55||+1

-||-692||+1

-692+1

=-691

Hence -691 is the value of the expression −||6c−16b||+1 when a=−12, b=34, and c=−23.

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Situations a and c can represent a proportional relationship. Options a and c are correct.

It is defined as the relationship between two quantities as one quantity increases the other quantity also increases and vice versa.

The following situations are found to represent proportionality using the concept of proportionality:

A) The total amount a babysitter makes who earns $10 an hour for babysitting r hours.

C) The total amount Andrew saves when he saves $24 a week for w weeks.

Thus, situations a and c can represent a proportional relationship. Options a and c are correct.

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Answer:

7x + 4,

8y - 3 > 13,

8a,

9 < 5x - 1

Step-by-step explanation:

Hello!

For this question it's important to know what form an expression takes, which is essentially a group of "things" (such as x, y, and numbers) that don't necessarily equal anything else, that would be an equation

In other words, an expression is a mathematical statement that does not include an = sign.

answer

microstates

Step by step explanation

The required expression is

(4/3)π(7)³

What is volume?

In three-dimensional space, volume is the area occupied by an object within its borders. Another name for it is an object's capacity.

We are given to select the correct expression that gives the volume of a sphere with a radius of 7 units.

We know that,

the VOLUME of a sphere with radius 'r' units is given by

V=(4/3)πr³

Here, the radius of the given sphere is

r = 7 units.

Therefore, the volume of the sphere will be

V=(4/3)π(7)³

Thus, the required expression is

(4/3)π(7)³

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No, because it is plausible that she would make 3 or fewer shots by chance alone.

What is convincing evidence?

The proof is sufficient evidence or a sufficient argument for the truth of a proposition. The concept applies in a variety of disciplines, with both the nature of the evidence or justification and the criteria for sufficiency being area-dependent.

if our test statistic is: positive and greater than the critical value, then we have sufficient evidence to reject the null hypothesis and accept the alternative hypothesis. positive and lower than or equal to the critical value, we must accept the null hypothesis.

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Answer:

-4/-5

Step-by-step explanation:

Gotchu bro

Answer:

4/5 or 0.8

Step-by-step explanation:

may i have the brainiest crown pls

Using linear equation model, the change per week in the amount in the account is 20 dollars per week.

The starting amount of the money in the account is 350 dollars.

Omar is putting money into a checking account. y represent the total amount of money in the account (In dollars). x represent the number of weeks Omar has added money.

x and y are related with the equation y = 350 + 20x

The equation can be modelled to a linear equation.

Therefore,

y = mx + b

where

Therefore,  according to the equation, the change per week  in the amount if money is in the account is 20 dollars per week.  The slope is the rate of change.

The starting money amount of money in the account is the y-intercept of the equation which is 350 dollars

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By the use of the law of conservation of mass, the mass of the aluminum chloride is  267 g.

We know that a chemical reaction occurs when there is the combination of two or more substances such that a new substances is formed. We have to put down the reaction equation in this case and we have;

[tex]4Al(s) + 3ZnCl_{2} (aq) ---- > 2Al_{2} Cl_{3}(aq) +3 Zn(s)[/tex]

Using the law of the combination of mass, the total mass of the reactants must be equal to the total mass of the products; Let the mass of the aluminum chloride formed be x

54 + 409.2 = 196.2 + x

x = (54 + 409.2) - 196.2

x = 267 g

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Explanation:

We can do cross multiplying through ratios:

310 feet / 10 secs = x feet / 12 secs

10x = 310 * 12

10x = 3720

x = 372 feet

OR

Divide 310 feet and 10 secs to get 31 feet in 1 sec

Multiply 31 ft and 1 sec to get 372 ft in 12 secs