Sam has 3 more than twice the number of baseball cards that Catherine has. Together Sam and Catherine have 51 baseball cards. How many cards do Sam and Catherine each have? ​

Answer:

-12x

Step-by-step explanation:

6x+(-12x/2)+(-24x/2)

=6x+(-6x)+(-12x)

=6x-6x-12x

=-12x

Answer:

x=1 y=5

Step-by-step explanation:

y=4+x

x=y=6

x+4+x=6

y=4+x

2x+4=6

y=4+x

2x=2

y=4+x

x=1

y=4+x

y=5

x=1

She can buy 16 pens and 16 pencils.

Answer:

4.8÷40=4.8÷4÷10

           =0.12

0.12=12/100

      =3/25

Step-by-step explanation:

Part 1.

Our equation is [tex]4.8[/tex]÷[tex]40=0.12[/tex]

Part 2.

[tex]^{12}/_{100[/tex] = [tex]^{3}/_{25[/tex] as simplest form

Answer:

50

Step-by-step explanation:

Answer:

(y+3)=2(x-5)

Step-by-step explanation:

Answer:

(2,-2)

Step-by-step explanation:

[tex]3x-y =3(2) -(-2)= 6 +2 = 8[/tex]

Answer:

A.  b ≤  -3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

C

Step-by-step explanation:

Answer:

$243

Step-by-step explanation:

Answer:  23.2

Step-by-step explanation:

D = 4h/5

D(29) = 4(29)/5

D(29) = 23.2

Answer:

Well the ineqaulity here would be

y/8 > 10

Or in simpler terms

y ÷ 8 > 10

If you were to solve

y > 80

Answer:

Graphs shown below.

4.) x-intercept: (3,0)  y-intercept: (0,-2)  slope: 2/3

5.) x-intercept: none  y-intercept: (0,4.5)  slope:0

6.) x-intercept: (3,0) and (-1,0)  y-intercept: (0,-1)   slope: none

#4 is blue graph, #5 is green graph, #6 is red graph

Step-by-step explanation:

** #4 is blue graph, #5 is green graph, #6 is red graph **

Answer:

3rd option

Step-by-step explanation:

Given z is inversely proportional to (y - 2)² then the equation relating them is

z = [tex]\frac{k}{(y-2)^2}[/tex] ← k is the constant of proportion

To find k use the condition when y = 5, z = 9 , then

9 = [tex]\frac{k}{(5-2)^2}[/tex] = [tex]\frac{k}{3^2}[/tex] = [tex]\frac{k}{9}[/tex] ( multiply both sides by 9 )

81 = k

z = [tex]\frac{81}{(y-2)^2}[/tex] ← equation of proportion

The true statement is

The survey results are most at risk for under coverage.

Survey methodology is an area of applied statistics that focuses on human-research surveys. It examines the sampling of discrete groups from a population and related methods for gathering survey data, such as creating questionnaires and techniques for boosting response rates and accuracy.

We have,

A school board is interested in whether high school students would like to shift the school day forward by 30 minutes.

As, It would be biassed to just survey kids who participate in extracurricular activities because they would be excluding the opinions of many other students.

Thus, the survey results are most at risk for under coverage.

Learn more about Survey here:

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Answer:

Step-by-step explanation:

According to diagram we have:

Now:

Find the measure of angle H:

Answer:

1.6 x 10^-6.

Step-by-step explanation:

a) Work out (8 x 10^-3)(2 x 10^-4)

= 8 x 2 x 10^(-3 + -4)

= 16 x 10^-7

Convert this to standard form by dividing the first part by 10 and multiplying the second by 10.

= 1.6 x 10^-6.

A is the correct answer.

Answer is D)

no solution

[tex]\\ \sf\longmapsto (3x-2x^2+3)-(-5x^2+3x+5)[/tex]

[tex]\\ \sf\longmapsto 3x-2x^2+3+5x^2-3x-5[/tex]

[tex]\\ \sf\longmapsto 5x^2-2x^2+3x-3x+3-5[/tex]

[tex]\\ \sf\longmapsto 3x^2-2[/tex]

Answer:

The answer is B

Step-by-step explanation:

3x - 2x^2 + 3 -(-5x^2 + 3x + 5)

3x - 2x^2 + 3 + 5x^2 - 3x - 5

= 3x^2 - 2

Answer:

See below

Step-by-step explanation:

Extreme values of a function are found by taking the first derivative of the function and setting it equal to 0. To determine if it's a minimum or maximum, we set the second derivative equal to 0 and determine if its positive or negative respectively.

Let's do [tex]f(x)=3x^4+2x^3-5x^2+7[/tex] as an example

By using the power rule where [tex]\frac{d}{dx}(x^n)=nx^{n-1}[/tex], then [tex]f'(x)=12x^3+6x^2-10x[/tex]

Now set [tex]f'(x)=0[/tex] and solve for [tex]x[/tex]:

[tex]0=12x^3+6x^2-10x[/tex]

[tex]0=2x(6x^2+3x-5)[/tex]

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]x=\frac{-3\pm\sqrt{3^2-4(6)(-5)}}{2(6)}[/tex]

[tex]x=\frac{-3\pm\sqrt{9+120}}{12}[/tex]

[tex]x=\frac{-3\pm\sqrt{129}}{12}[/tex]

[tex]x=-\frac{3}{12}\pm\frac{\sqrt{129}}{12}[/tex]

[tex]x=-\frac{1}{4}\pm\frac{\sqrt{129}}{12}[/tex]

[tex]x_1=0,x_2\approx0.6965,x_3=-1.1965[/tex]

By plugging our critical points into [tex]f(x)[/tex], we can see that our extreme values are located at [tex](0,7)[/tex], [tex](0.6965,5.956)[/tex], and [tex](-1.1965,2.565)[/tex].

The second derivative would be [tex]f''(x)=36x^2+12x-10[/tex] and plugging in our critical points will tell us if they are minimums or maximums.

If [tex]f''(x)>0[/tex], it's a minimum, but if [tex]f''(x)<0[/tex], it's a maximum.

Since [tex]f''(0)=-10<0[/tex] then [tex](0,7)[/tex] is a local maximum

Since [tex]f''(0.6965)=15.822>0[/tex], then [tex](0.6965,5.956)[/tex] is a local minimum

Since [tex]f''(-1.1965)=27.18>0[/tex], then [tex](-1.1965,2.565)[/tex] is a global minimum

Therefore, the extreme values of [tex]f(x)=3x^4+2x^3-5x^2+7[/tex] are a global minimum of [tex](-1.1965,2.565)[/tex], a local minimum of [tex](0.6965,5.956)[/tex], and a local maximum of [tex](0,7)[/tex].

Hope this example helped you understand! I've attached a graph to help you visualize the extreme values and where they're located.

Answer:

1/2= 5/10

this is answer

Answer:

true

Step-by-step explanation:

0.8 is out of 1.0 so 0.8 + 0.2 = 1.0 and same for 8/10

Answer: True

Step-by-step explanation:

In order to see if the two given numbers are equal to each other, you need to turn one of them into either a fraction or a decimal so both of them are the same and you are able to compare.

In order to turn [tex]\frac{8}{10}[/tex] into a decimal, you divide 10 by 8.

8 ÷ 10 = 0.8

Both of the decimals are the same therefore the numbers are equal to each other and the statement is true.

Answer:

positive

Step-by-step explanation:

negative times negative is positive

positive times positive is positive

positive times negative is negative

negative times positive is negative

The required solution to the given numerical expressions is 88.

A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.

We have to determine the solution of 1.25 × 4 + 3 × 2 divided by (1/2) to the 3rd power

According to the given question,

⇒ (1.25 × 4 + 3 × 2) / (1/2)³

Apply the multiplication operation in the terms of the numerator,

⇒ (5 + 6) / (1/2)³

Apply the addition operation in the terms and expand the power of the denominator,

⇒ (11) / (1/8)

Reciprocal the term of denominator,

⇒ (11) × 8

⇒ 88

Therefore, the required solution to the given numerical expressions is 88.

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Answer:

Triangular prisms have their own formula for finding surface area because they have two triangular faces opposite each other. The formula A=bh is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height.

Step-by-step explanation:

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