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3 years ago

the equation 2x-7=5+x has exactly one solution true or false ? if false , what is the counter example?

1 answer:

5 0

Decide whether the statement is true or false. If false, provide a counterexample. 1. The equation 2x - 7 = 5 + x has exactly one solution TRUE 2. If x^2 = 16, then x must equal 8 or -8 TRUE 3. February 14 is Valentine's Day TRUE 4. If you visisted the Statue of Liberty, then you've been to New York TRUE 5. A point may lie on at most two lines FALSE A point may lie on more than zero to an infinite number of lines. Write the converse and contropositive of each statement. 6. If you like tennis, then you play on the tennis team FALSE You don't have to. Haha. 7. If x is odd, then 2x is even TRUE 8. If m

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Write a polynomial expression, in simplified form, that represents the AREA of the blanket and use the expression to evaluate th

pochemuha

Answer:

Polynomial expression that represents the area of blanket:

$A(x)=(6x^2+5x-21)cm^2$

If $x=2$ : $A(2)=13cm^2$

Step-by-step explanation:

The area of the rectangle can be calculated with the formula:

$A=lw$

Being l the lenght of the rectangle and w the width of the rectangle.

In this case, the lenght and the width are represented with:

$l=(3x+7)cm$

$w=(2x-3)cm$

Substitute them into $A=lw$ :

$A(x)=(3x+7)(2x-3)$

Then:

Use Distributive property (Remember the Product of powers property: $b^a*b^c=b^{(a+c)}$ ):

$A(x)=(3x+7)(2x-3)\\A(x)=6x^2-9x+14x-21$

Add like terms:

$A(x)=(6x^2+5x-21)cm^2$ (Simplied form)

Evaluate $x=2$ :

$A(2)=(6(2)^2+5(2)-21)cm^2\\A(2)=(6(4)+10-21)cm^2\\A(2)=(24-11)cm^2\\A(2)=13cm^2$

6 0

4 years ago

Which pairs of quadrilaterals can be shown to be congruent using rigid motions?

Tju [1.3M]

Answer:

yes ur right

Step-by-step explanation:

5 0

3 years ago

Subtract the sum of the three lowest numbers from the sum of the three highest numbers.

masha68 [24]

Answer:

Step-by-step explanation:

Put the data in the ascending order:

3, 7, 10, 11, 12, 36, 36, 37, 38, 39, 45, 48

Sum the 3 lowest numbers:

3 + 7 + 10 = 20

Sum the 3 highest numbers:

39 + 45 + 48 = 132

Subtract the sums:

132 - 20 = 112

6 0

3 years ago

Read 2 more answers

The Rockwell hardness of a metal is determined by impressing a hardened point into the surface of the metal and then measuring t

gayaneshka [121]

Answer:

Answer for the question:

The Rockwell hardness of a metal is determined by impressing a hardened point into the surface of the metal and then measuring the depth of penetration of the point. Suppose the Rockwell hardness of a particular alloy is normally distributed with mean 69 and standard deviation 2.7.

a. If a specimen is acceptable only if its hardness is between 67 and 75, what is the probability that a randomly chosen specimen has an acceptable hardness?

b. If the acceptable range of hardness is (69-C, 69+C), for what value of C would 95% of all specimens have acceptable hardness?

c. If the acceptable range is as in part (a) and the hardness of each of ten randomly selected specimens is independently determined, what is the expected number of acceptable specimens among the ten?

d. What is the probability that at most eight of ten independently selected specimens have a hardness of less than 72.84(HINT Y=number among the ten specimens with hardness less than72.84 is a binomial variable; what is p?)

is given in the attachment.

Step-by-step explanation:

Download pdf

7 0

4 years ago

I need help on this, please.

Dennis_Churaev [7]

Answer:

1=d

2= i

3=b

4=f

Step-by-step explanation:

I just found the equations for each line and matched it

4 0

3 years ago