Subtract. Use models if needed. (9x - 12) - (5x - 7)

Answer:

  h(0) = -4

Step-by-step explanation:

Put the value where the variable is and do the arithmetic.

  h(x) = -3x -4

  h(0) = -3·0 -4 = 0 -4

  h(0) = -4

_____

Additional comment

In general, a polynomial function evaluated when the variable is zero will have the value of any added constant. All of the variable terms will be zero. Since the constant in this function is -4, we know immediately that h(0) = -4.

Answer:

Happy

Step-by-step explanation:

Answer:

0.2 seconds

Step-by-step explanation:

The graph of b(t) = -16t^2 + 5t + 15 is a parabola opening downward.  The maximum value of b(t) occurs at the vertex.  The t-coordinate of the vertex is t = -5 / (2(-16)) = 5/32 = 0.15625 sec ≈ 0.2 sec.  

Answer:

A) 0.2 seconds

Step-by-step explanation:

[tex]b(t)=-16t^2+5t+15[/tex]

[tex]v(t)=-32t+5[/tex] <-- Take the derivative

[tex]0=-32t+5[/tex] <-- Set equal to 0

[tex]-5=-32t[/tex]

[tex]\frac{5}{32}=t[/tex]

[tex]t=\frac{5}{32}[/tex]

[tex]t\approx0.2[/tex]

Therefore, it will take the ball about 0.2 seconds to reach its maximum height (which happens to be about 15.4 feet BTW).

Alternatively, another non-calculus approach is the fact that the parabola opens downward, and as such, the maximum of [tex]b(t)[/tex] occurs at the vertex where [tex]t=-\frac{b}{2a}[/tex], therefore [tex]t=-\frac{5}{2(-16)}=\frac{-5}{-32}=\frac{5}{32}\approx0.2[/tex]

Step-by-step explanation:

1B.) Zero power rule

C.) 1

2B.) Product of powers rule

C.) y^(7+11) = y^18

3B.) Quotient of powers rule

C.) b^(18-5) =b^13

4B.) Power of a power rule

C.) 3^(2×2) =3^4= 81

5B.) None

C.) 729

Answer:

1) -2x - 3

2) -2a - 2

Step-by-step explanation:

Problem 1

To solve this problem, we only have to combine like terms. What are the like terms in this problem? Well, we have two x-terms (-10x and 8x) and two integers, or constants (1 and -4). So, let's rearrange the expression and then combine those terms.

-10x + 8x + 1 - 4

-2x - 3

Problem 2

This expression is a little more complicated since we have to distribute a 2 onto the two terms in the parentheses.

2(1 - a) - 4

2(1) - 2(a) - 4

2 - 2a - 4

Next, we can combine like terms.

-2a + 2 - 4

-2a - 2

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\huge\text{Number 1}[/tex]

[tex]\large\textsf{-10x + 1 + 8x - 4}\\\large\text{COMBINE the LIKE TERMS}\\\large\textsf{= (-10x + 8x) + (1 - 4)}\\\large\textsf{= -2x - 3}\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{-2x - 3}}}\huge\checkmark[/tex]

[tex]\huge\text{Number 2}[/tex]

[tex]\large\textsf{2(1 - a) - 4}\\\large\text{DISTRIBUTE 2 WITHIN the PARENTHESES}\\\large\textsf{= 2(1) + 2(-a) - 4}\\\large\textsf{= 2 - 2a - 4}\\\large\text{COMBINE the LIKE TERMS}\\\large\textsf{= (-2a) + (2 - 4)}\\\large\textsf{= -2a - 2}\\\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{-2a - 2}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \&}\\\huge\textbf{enjoy your day!}[/tex]

Answer:

5 7/20 as a decimal is 5.35

Hope that helps. x

Answer:

Step-by-step explanation:

If your question has a big number 5 and a fraction 7/20, the 5 is going to be in the left side of the decimal, like 5.something ... the 7/20 is going to be the part on the right. If you're allowed to use a calculator just divide 7÷20 and that part goes on the right of the decimal. If you're not allowed to use a calculator then change 7/20 into something/100 ... 7/20× 5/5 gives you 35/100. That is the decimal part. It is written .35 So all together you get 5 7/20 is 5.35

Answer:

y = - [tex]\frac{5}{4}[/tex] x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 7) and (x₂, y₂ ) = (4, 2) ← 2 points on the line

m = [tex]\frac{2-7}{4-0}[/tex] = [tex]\frac{-5}{4}[/tex] = - [tex]\frac{5}{4}[/tex]

The line crosses the y- axis at (0, 7 ) ⇒ c = 7

y = - [tex]\frac{5}{4}[/tex] x + 7 ← equation of line

Answer:

75081

Step-by-step explanation: multiply 80950 by 0.9275

Answer:

5/3 or 1 2/3

Step-by-step explanation:

when you multiply fractions, you must 'multiply by the reciprocal'

you keep the first fraction the same, then you change the operation to multiplication, and finally you flip the second fraction so the denominator becomes the numerator and vice versa

5/6 ÷ 1/2 is the same as 5/6 × 2/1 = 10/6

always reduced to lowest terms when you can . . .

10/6 equals 5/3

Answer:

1.6667 as a decimal

Step-by-step explanation:

Hope this helps! Have a great rest of your day!

Answer:

C (5,4)

Step-by-step explanation:

(x,y)

fist number in the ordered pair is the X value

Second number in the ordered pair is the Y value

A (-3,0) means you go 3 spaces to the left in the negative direction and zero spaces in the Y axis

B(-2,1) means you go 2 spaces to the left on the x axis (negative) and 1 space up (positive) in the Y axis

C (5,4) means you go 5 spaces to the right on the x axis (positive) and 4 spaces up on the Y axis (positive)

After doing all of these we see that C does not end up on the line

Answer:

121 days to hike the length of the trail.

Step-by-step explanation:

Divide 2175 miles by 18 miles/day.  The unit 'miles' will cancel out, leaving with us the unit 'days.'

 2175 miles

------------------- = 121 days

  18 mi/day

Answer:

21

Step-by-step explanation:

5(21)-12=93

3(21)+30=93

Answer:

27 1/8

Step-by-step explanation:

217/8= 27.125 = 27

217 - (8 x 27) = 1

We've now simplified 217/8 to a mixed number. To see it, we just need to put the whole number together with our new numerator and original denominator:

27 1/8

Simplifying our fraction

In this case, our fraction (1/8) can be simplified down further. In order to do that, we need to calculate the GCF (greatest common factor) of those two numbers. You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 1 and 8 is 1.

1/1 = 1

8/1 = 8

When we put that together, we can see that our complete answer is:

27 1/8

Answer:

217  4/5

Step-by-step explanation:

1. The percentage of people surveyed in East Harlem is 58.5%

2. The percentage of people surveyed in Upper East Side is 41.5%

From the question given above, the following data were obtained:

1. Determination of the percentage of people surveyed in East Harlem.

Percentage of East Harlem = (people surveyed in East Harlem / Total) × 100

Percentage of East Harlem = (183/313) × 100

Percentage of East Harlem = 58.5%

2. Determination of the percentage of people surveyed in Upper East Side.

Percentage of Upper East Side = (Total percentage) – (Percentage of East Harlem)

Percentage of Upper East Side = 100 – 58.5

Percentage of Upper East Side = 41.5%

Learn more about percentage:

https://brainly.com/question/14899205

Answer: x = 22.7

Step-by-step explanation:Based on the given conditions, formulate: 5300x2(x divided by 23) = 10500

Divide both sides of the equation by the coefficient of variable: 2 x/23 = 10500/5300

Reduce the fraction:2 x/23 = 105/53

Convert exponential to logarithm form: x/23 = long^2 105/53

Divide both sides of the equation by the coefficient of variable:x = log^2 105/53 x 23

Rewrite the expression: x = 23 long^2 105/53

Round the number: x = 22.7

Answer: x = 22.7

Answer:

A = Π R^2 = 3.14 * 6^2 m = 113 m^2   area of entire circle

102/360 = a = area of sector

a = 102/360 * 113 m^2 = 32 .0 m^2

Let's see

Done!

Answer:

$3

Step-by-step explanation:

cut the price in half because the amount of items was reduced by half

Answer:

three dollars

Step-by-step explanation:

$6 for 4

$x for 2

6=4

x=2

cross multiply

2×6=4×x

12=4x

Divide through by 4

x= 3

Answer:

x=27

Step-by-step explanation:

Same side exterior angles are supplementary when the lines are parallel

3x-3 + 4x-6 = 180

7x -9 =180

Add 9 to each side

7x-9+9 = 180+9

7x = 189

Divide each side by 7

7x/7 = 189/7

x =27

Answer:

the one about 100 games

Step-by-step explanation:

62 percent *162 =

(62:100)*162 =

(62*162):100 =

10044:100 = 100.44

this rounds to 100

Answer:

About 100 games

Step-by-step explanation:

162 * 0.62 = 100.4

100.4 rounded is 100

Answer:

try the 3rd one

Step-by-step explanation:

if it's not right then i'm sorry

Answer:

Below!

Step-by-step explanation:

The slope is un-defined because the x axis on both points are the same. Therefore, the slope is un-defined.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

I think it's 35, because if there's 25 dark and you divide 25 by 5 you get 5, so 1/12 is equal to 5

Step-by-step explanation:

Area of this plot =(84×84) m

2

=7056 m

2

length of rectangular plot =144 m.

We know that the area of the square plot is same as the area of the rectangular plot

Let breadth of rectangular plot be x.

then, 144x=7056 [∵ Area of a rectangle =l×b ]

⟹x=

144

7056

=49 m

∴ The width of rectangular plot is 49 m.

Using the definition of expected value, it is found that Ayo can be expected to make a profit of £55.8.

The expected value is given by the sum of each outcome multiplied by it's respective probability.

In this problem:

Hence, his expected profit for a single game is:

[tex]E(X) = -6\frac{1}{72} - 3\frac{17}{72} + 1.4\frac{54}{72} = \frac{-6 - 3(17) + 54(1.4)}{72} = 0.2583[/tex]

For 216 games, the expected value is:

[tex]E = 216(0.2583) = 55.8[/tex]

Ayo can be expected to make a profit of £55.8.

To learn more about expected value, you can take a look at https://brainly.com/question/24855677

Answer:

hi there the answer is 72

Step-by-step explanation:

sorry but my work is on a piece of paper in front of me

To map the regular pentagon onto itself, rotate it at angles of 72, 144, 216, and 288 degrees.

A polygon is a geometric form with a limited number of sides that exists in two dimensions. On the sides or edges of polygons, single-direction segments are joined end to end to form a closed shape. Vertices or corners are the points at which two line segments converge to form an angle.

It is given that:

There are five sides to the pentagon.

We are known that the typical pentagon has five vertices and interior angles of 72 degrees each. Rotational symmetry is also present in a regular pentagon.

Angles are 72°,144°,216°, and 288°

Thus, to map the regular pentagon onto itself, rotate it at angles of 72, 144, 216, and 288 degrees.

Learn more about the regular polygon here:

brainly.com/question/11810316

#SPJ2

Answer:

Step-by-step explanation:

The perimeter is multiplied by the scale factor:

  image perimeter = 3 × original perimeter = 3×12 = 36 units

The area is multiplied by the square of the scale factor:

  image area = 3² × original area = 9×6 = 54 square units

Answer:

t = S / v      time = distance / speed

For Tom   t = 12 m / 4 mph = 3 hours to cover course

Tom will finish at 8:13 + 3 = 11:15

th = 12 m / 8mph = 1.5 hours to cover course

11:15 - 1.5 = 9:45       time Harriet should start to finish in 1.5 hours