If a = 5, what is the value of 2a2 - 3a + 11 ?
A.
16
B. 46
C. 71
D. 96

Answer:

-1

Step-by-step explanation:

[tex]f(-2) = -(-2)^{2} +3[/tex]

          = -4 + 3 = -1

Answer:

Step-by-step explanation:

[tex]9x^2 - 2x + 25 = 8x^2 + 8x\\\\9x^2 - 2x + 25 - 8x^2 - 8x = 0\\\\x^2-10x+25=0\\\\x^2-2\cdot x\cdot5+5^2=0\\\\(x-5)^2=0\\\\x-5=0\\\\x=5[/tex]

Answer:

Step-by-step explanation:

[tex]d^2=(x_2-x_1)^2+(y_2-y_1)^2\\ \\ d^2=(5-2)^2+(-4-3)^2\\ \\ d^2=3^2+(-7)^2\\ \\ d^2=9+49\\ \\ d^2=58\\ \\ d=\sqrt{58}\\ \\ d\ approx 7.6\ units[/tex]

Answer:

y < 1/4x + 6

Step-by-step explanation:

So the first thing I found was the slope so using rise over run you could see it was going down one and to the right 4 times which gave me 1/4 for the slope, then i needed to find the y intercept which was positive 6 I got I knew it was less than because it is shaded under the line and i knew it was less than opposed to less then or equal to because its a dotted line.  

So to make the equation we first do y = slope (x) + y intercept

(if your y intercept was -6 you would change the + to a -)

our slope is 1/4 so y = 1/4x

our y intercept is 6 so we get y = 1/4x + 6

Hope this was helpful

Answer:

B= -5/2

Step-by-step explanation:

i added the screen shot of the step by step solution , its hard to do this on a laptop

*mark brainlest*

Answer:

4

Step-by-step explanation:

Answer: 2393

Step-by-step explanation:

Answer:

23.42 ft is the perimeter of the hole that should be cut in the wall.

Answer: Your answer will be 1/2

Answer:

[tex] \boxed {\frac{2}{3}} [/tex]

Step-by-step explanation:

The two rectangles are similar and the scale factor is [tex] \boxed {\frac{2}{3}} [/tex]

Answer:

2x^2+x-36=0

(4,0)

2*4^2+4-15=21

Step-by-step explanation:

The addition is one of the four fundamental mathematical operations. The two integers are 4 and 17.

The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.

Let the two unknown integers be represented by x and y, where x

Given that The sum of two integers is 21. Therefore, we can write,

x + y = 21

y = 21 - x

Also, Fifteen less than double the square of the smaller integer is equal to the larger integer.

2(x²) - 15 = y

Substitute the value of y from the first equation,

2(x²) - 15 = 21 - x

2x² - 15 = 21 - x

2x² + x - 15 - 21 = 0

2x² + x - 36 = 0

2x² + 9x - 8x - 36 = 0

x(2x + 9) -4(2x + 9) = 0

(x-4)(2x+9) = 0

x = (-9/2), 4

Since it is given that the number are integers, therefore, the only option is 4.

Further, the two integers are,

x = 4

y = 21 - x = 21 - 4 = 17

Hence, the two integers are 4 and 17.

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Answer:

y = (2/3)x + K, where K is any number except 1

Step-by-step explanation:

In the slope-intercept form of the linear equation, y = mx +b, the 'm' is for the slope, m = 2/3.

Any line that also has a slope of 2/3 will be parallel.

y = (2/3)x - 10       will be parallel

y = (2/3)x + 12      will be parallel

y = (2/3)x - (1/2)    will be parallel

y = (2/3)x + 5,391 will be parallel

Maybe this is a multiple choice question?

Because there is not really just one unique answer to the question as you have presented it.

Hope this helps!

Answer: $34

Step-by-step explanation:

After 11 years,188.76 more money would Lincoln have in his account than Robert

percentage, a relative value indicating hundredth parts of any quantity.

Given,

Lincoln invested $440 in an account paying an interest rate of 7 ​% compounded continuously.

Robert invested $440 in an account paying an interest rate of 5 ​ %.

We need to find how much more money would Lincoln have in his account than Robert in 11 years.

[tex]A=Pe^{rt}[/tex]

For Lincoln:

P=440,

r=7%=0.07

t=11

A=440e⁰⁰⁷ˣ¹¹

A=440e⁰⁷⁷

A=949.96

For  Robert,

P=440,

r=5%=0.05

A=440e⁰⁰⁵ˣ¹¹

A=440e⁰⁵⁵

A=761.2

Now find the difference of Albert and Robert money

949.96-761.2

188.76

Hence, After 11 years,188.76 more money would Lincoln have in his account than Robert

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Answer:

135 yards

Step-by-step explanation:

There are 135 yards in 45 feet.

Our information:

The park is 45 feet long

There is (3 feet= 1 yard)

Since there is 3 feet in 1 yard. You have to multiply 45 x 3.

So, The answer is 135 yards.

Answer:

i really dont know

Step-by-step explanation:

Answer:

1/B = 1/R - 1/A

B/R - B/A = 1

B - BR/A = 1

B = 1 + BR/A

Answer: the company should sell there phones for 250

Step-by-step explanation: took the test

Answer:

What's the question I'll do my best to help :)

Step-by-step explanation:

Answer:

wheres the question?

Step-by-step explanation:

Answer: 12/18

Step-by-step explanation:

For a quick explanation, all you need to do is multiply 1/6 by 6 to get 1 whole and do the same to 2/3 so it’s proportional again.

The number of cups of water she needs to mix is 4.

Given that,

Based on the above information, the calculation is as follows:

[tex]= \frac{2}{3} \div \frac{1}{6} \\\\= \frac{2\times 6}{3\times 1 }[/tex]

= 4

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Answer:

50 squirrels, 60 inches, A'(3,0), B'(9,0), C'(9,6)

Step-by-step explanation:

Given that the ratio of birds to squirrels is 4:5 and there are 90 altogether, define a variable [tex]x[/tex], and [tex]4x + 5x = 90[/tex], and [tex]x = 10[/tex]. Since squirrels are the [tex]5x[/tex] part, [tex]5\cdot10 = 50[/tex] squirrels.

1/5 of her total height is 12 so let's say her total height is [tex]h[/tex] and [tex]\frac{1}{5}h = 12[/tex].

Solve for [tex]h[/tex] to get 60 inches.

Translating this triangle to the right 3 units just means adding 3 to all the x coordinates of the vertices. This gives you A'(3,0), B'(9,0), C'(9,6).

Answer:

Answer. Each cube with side lengths of 1/4 have a volume of (1/4)3 which means each cube's volume is 0.015625 cubic units.

Step-by-step explanation:

Answer. Each cube with side lengths of 1/4 have a volume of (1/4)3 which means each cube's volume is 0.015625 cubic units.

Answer:

C

Step-by-step explanation:

sorry if its wrong

Answer:

129

Step-by-step explanation:

Answer:

x=2, y=3. (2, 3).

Step-by-step explanation:

3x+y=9

x-y=-1

-------------

4x=8

x=8/4=2

2-y=-1

y=2-(-1)=2+1=3

Answer:

284.4

Step-by-step explanation:

Divide all numbers by 1.5. example: (10)1.5(12)1.5(81.5= 284.444444 but I rounded it to 284. You're welcome

284 boxes in the shape of the cubes can be fitted in the truck.

If a truck is fitted fully with the cubes, volume of the truck will be equal to the volume of cubes to be fitted.

Dimensions of the truck given in the question,

Since, volume of a cuboid (shape of a truck) is given by the expression,

Volume = Length × Width × Height

Therefore, volume of the truck = 10 × 12 × 8

                                                   = 960 feet³

Volume of a cube is given by the expression,

Volume = (side)³

Therefore, volume of the cube with side length 1.5 feet will be,

Volume of a cube = (1.5)³

                              = 3.375 cubic feet

Let the number of cubes fitted in the truck = x

Therefore, volume of 'x' cubes = (3.375x) feet³

Since, volume of the truck = Volume of the cubes fitted

3.375x = 960

x = [tex]\frac{960}{3.375}[/tex]

x = 284.44

x ≈ 284

     Therefore, 284 boxes in the shape of the cubes can be fitted in the truck.

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Answer:

it gets almost 3 pages but it gets 2 pages per minute

Step-by-step explanation:

Answer:

824 feet

that is becuase the greastist common factor adds up to that

1. 64 feet

2. 842 feet

3. y = 906 - 16t^2

Answer:

It would be C  , 7 root 2

Step-by-step explanation:

you would have to find the Sin of 45. So you set up a proportion ( you can do this on a calculator)

sin 45=7/x and then calculate that and solve.

If you dont have a calc then the sin of 45 is 1/root2

Answer:

For the profit to be maximized, 20 software programs and 80 video games should be produced

Step-by-step explanation:

Let x represent the number of the software programs and let y represent the number of video games.

We are told that the company can produce at most 70 software programs and then, at most 80 video games per week. Thus;

x ≤ 70

y ≤ 80

Also, we are told that the overall production cannot exceed 100. Thus;

x + y ≤ 100

Since the company makes a profit of $15 per software program and $10 per video game. Then, the function to be maximized is;

15x + 10y

When they produce at most 70 software programs, it means that the number of video games that can be produced is: 100 - 70 = 30.

Thus, one point of maximizing values is; (70, 30)

Also, when they produce at most 80 video games per week, the number of software programs that can be produced is; 100 - 80 = 20.

Thus, second point of maximization is;

(20, 80)

Putting these points into the objective function, we have;

At (70, 30); 15(70) + 10(30) = $1350

At (20, 80); 15(20) + 10(80) = $1100

For the profit to be maximized, 20 software programs and 80 video games should be produced