what function is equivalent to f(x)=-4(x+7)^2-6

Answer:

y geometric mean property,n² = 28 × 7 = 196n = 14.By pythagorean

Step-by-step explanation:

y geometric mean property,n² = 28 × 7 = 196n = 14.By pythagorean

Answer=3/10

Step wise =

Total number of student=40

student who eat Hamburger=12

now,

Probability of eating hamburger student = 12/40

=3/10

Answer:

110%

Step-by-step explanation:

hope this helps......

Answer:

110%

Step-by-step explanation:

is / of = % / 100

165 / 150 = x / 100

cross-multiply:

150x = 16,500

x = 16,500 / 150

x =  110

Answer:

1250 meters because 2 km is 2000 meters

2000 - 750

= 1250

Answer:

you need to add 1250 to 750 in order to make 2 km

Step-by-step explanation:

We know that:

1 KM = 1000 meters

and out of those 1000, we already have 750, therefore:

1000-750 = 250

Which completes 1 km now, since there are 2 km, add 1000 to 250:

1000+250 = 1250

So you need to add 1250 meters to make 2 km

Hope this helps!

Answer:

x=2, y=5. (2, 5).

Step-by-step explanation:

x+6y=32

-x-3y=-17

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

3y=15

y=15/3

y=5

x+6(5)=32

x+30=32

x=32-30

x=2

Answer:

The median for group 2 is greater.

Group 1 will likely decrease.

Group 2 and likely increase.

Fitzpatrick is correct.

About half of the haircuts cost less than $50.

Answer:

IO

Step-by-step explanation:

9514 1404 393

Answer:

  y-intercept

Step-by-step explanation:

If the function is graphed as ...

  y = f(x)

then y = f(0) is the y-intercept.

_____

Additional comment

Depending on the way the graph is created and labeled, any points or curve on the graph may cross the vertical axis at a point other than one that corresponds to an input of 0. In any event, it may not be called "y". It may be "sales" or "board feet" or "monkeys per acre". Then the name of the point may not be "y-intercept", but may be something else.

Answer:

102.2

Step-by-step explanation:

Answer:

(a) A country which puts only 3% of its expenditure into health care. = (41.8,85.2)

(b) A country which puts 10% of its expenditure into health care= (47.92,89.29)

(c) A country which puts 50% of its expenditure into health care= (63.33,132.17)

Explanation:

Country                              Health Life expectancy

1 Iceland                               15.76            83.1

2 Kazakhastan                       40.90   70.5

3 Lesotho                                 14.48 49.3

4 Uzbekistan                          9.68 68.2

5 Peru                                  14.75 74.8

6 Iraq                                          5.99 69.5

mb=1m (life expectancy - Health, data=d1)

new data1 = data. frame (Health = 3)

new data2 = data. frame (Health = 10)

new data3= data. frame (Health = 50)

Predict (mb,newdata1, interval= "prediction)

                fit                   owr                 upr

1            63.506          41.7298           85.2192

>Predict (mb,newdata2, interval = "prediction)\

                 fit                   owr                 upr

1            68.6062          47.9192           89.29321

>Predict (mb,newdata3, interval = "prediction)

                fit                   owr                 upr

1            97.750            63.3292         132.1713

(a) A country which puts only 3% of its expenditure into health care. = (41.8,85.2)

(b) A country which puts 10% of its expenditure into health care= (47.92,89.29)

(c) A country which puts 50% of its expenditure into health care= (63.33,132.17)  

Answer:

The family of all prime numbers such that [tex]a^{2} + b^{2} + c^{2} -1[/tex] is a perfect square is represented by the following solution:

[tex]a[/tex] is an arbitrary prime number. (1)

[tex]b = \sqrt{1 + 2\cdot a \cdot c}[/tex] (2)

[tex]c[/tex] is another arbitrary prime number. (3)

Step-by-step explanation:

From Algebra we know that a second order polynomial is a perfect square if and only if [tex](x+y)^{2} = x^{2} + 2\cdot x\cdot y + y^{2}[/tex]. From statement, we must fulfill the following identity:

[tex]a^{2} + b^{2} + c^{2} - 1 = x^{2} + 2\cdot x\cdot y + y^{2}[/tex]

By Associative and Commutative properties, we can reorganize the expression as follows:

[tex]a^{2} + (b^{2}-1) + c^{2} = x^{2} + 2\cdot x \cdot y + y^{2}[/tex] (1)

Then, we have the following system of equations:

[tex]x = a[/tex] (2)

[tex](b^{2}-1) = 2\cdot x\cdot y[/tex] (3)

[tex]y = c[/tex] (4)

By (2) and (4) in (3), we have the following expression:

[tex](b^{2} - 1) = 2\cdot a \cdot c[/tex]

[tex]b^{2} = 1 + 2\cdot a \cdot c[/tex]

[tex]b = \sqrt{1 + 2\cdot a\cdot c}[/tex]

From Number Theory, we remember that a number is prime if and only if is divisible both by 1 and by itself. Then, [tex]a, b, c > 1[/tex]. If [tex]a[/tex], [tex]b[/tex] and [tex]c[/tex] are prime numbers, then  [tex]2\cdot a\cdot c[/tex] must be an even composite number, which means that [tex]a[/tex] and [tex]c[/tex] can be either both odd numbers or a even number and a odd number. In the family of prime numbers, the only even number is 2.

In addition, [tex]b[/tex] must be a natural number, which means that:

[tex]1 + 2\cdot a\cdot c \ge 4[/tex]

[tex]2\cdot a \cdot c \ge 3[/tex]

[tex]a\cdot c \ge \frac{3}{2}[/tex]

But the lowest possible product made by two prime numbers is [tex]2^{2} = 4[/tex]. Hence, [tex]a\cdot c \ge 4[/tex].

The family of all prime numbers such that [tex]a^{2} + b^{2} + c^{2} -1[/tex] is a perfect square is represented by the following solution:

[tex]a[/tex] is an arbitrary prime number. (1)

[tex]b = \sqrt{1 + 2\cdot a \cdot c}[/tex] (2)

[tex]c[/tex] is another arbitrary prime number. (3)

Example: [tex]a = 2[/tex], [tex]c = 2[/tex]

[tex]b = \sqrt{1 + 2\cdot (2)\cdot (2)}[/tex]

[tex]b = 3[/tex]

Answer:

c

Step-by-step explanation:

I cannot see the whole picture. some numbers are cut off.

but just by making the calculating for the top-left corner we can see the only possible right answer.

so, top-left corner of A = 4 and of B = 7.

therefore, the top-left corner of the result matrix is then according to -2×A + 7×B

-2×4 + 7×7 = -8 + 49 = 41

the only solution option with 41 in the top-left corner is c.

Answer: 0.06<0.61<0.7

Step-by-step explanation:

The numbers is 0.6< 0.61 <0.7.

It is required to find among the statements is true.

An integer is a whole number (not a fractional number) that can be positive, negative, or zero.

Given that:

0.7 is largest number among the given integer.

0.61 is 2nd largest number among the given integer.

0.6 is lowest number among the given integer.

∴0.6< 0.61 <0.7.

So, the numbers is 0.6< 0.61 <0.7.

Learn more about integer here:

https://brainly.com/question/23713984

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The area that Gretchen will be refinishing is 42 square feet.

A polygon is a closed more than two-sided and can be made up of a finite number of straight line segments and is a type of planar figure in geometry.

Each line of the polygonal circuit's segments is referred to as its edges or sides.

An octagon has 8 sides.

We know, Apothm is the distance from the center to its side.

We also know that an octagon can be divided into 8 similar triangles.

Therefore, The area of the octagon will be,

= 8×(1/2)×3×3.5 square feet.

= 4×10.5 square feet.

= 42 square feet.

learn more about polygons here :

https://brainly.com/question/24464711

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Answer:

The total amount of fluids infused per day is 3,120 ml.

Step-by-step explanation:

Given that a patient is receiving a normal saline solution, infusing continuously at 80 ml / hr, and a tube feeding formula, Glucerna, infusing continuously at 50 ml / hr, to determine what is the total amount of fluids infused per day the following calculation must be done:

(80 x 24) + (50 x 24) = X

1,920 + 1,200 = X

3.120 = X

Therefore, the total amount of fluids infused per day is 3,120 ml.

Answer:

Step-by-step explanation:

we know that the 3 sides add up to the perimeter of 18cm. We can use this to find the length of the 3rd side, CA.  

AB + BC + CA = 18

7 + 3 + CA = 18

10 + CA = 18

CA = 8

The pythagorean theorem states that in a right triangle a2 + b2 = c2, where c is the length of the hypotenuse (the longest side opposite to the right angle) and a and b are the lengths of the other two sides.  

In this problem we can replace a with 7, the length of AB, b with 3, the length of BC, and c with 8, the length of CA.  

a2 + b2 = c2

72 + 32 = 82

49 + 9 = 64

58 = 64

Since the equation is not true, we can deduce that ABC is NOT a right triangle start, we know that the 3 sides add up to the perimeter of 18cm. We can use this to find the length of the 3rd side, CA.  

AB + BC + CA = 18

7 + 3 + CA = 18

10 + CA = 18

CA = 8

The pythagorean theorem states that in a right triangle a2 + b2 = c2, where c is the length of the hypotenuse (the longest side opposite to the right angle) and a and b are the lengths of the other two sides.  

In this problem we can replace a with 7, the length of AB, b with 3, the length of BC, and c with 8, the length of CA.  

a2 + b2 = c2

72 + 32 = 82

49 + 9 = 64

58 = 64

Since the equation is not true, we can deduce that ABC is NOT a right triangle start, we know that the 3 sides add up to the perimeter of 18cm. We can use this to find the length of the 3rd side, CA.  

AB + BC + CA = 18

7 + 3 + CA = 18

10 + CA = 18

CA = 8

The pythagorean theorem states that in a right triangle a2 + b2 = c2, where c is the length of the hypotenuse (the longest side opposite to the right angle) and a and b are the lengths of the other two sides.  

In this problem we can replace a with 7, the length of AB, b with 3, the length of BC, and c with 8, the length of CA.  

a2 + b2 = c2

72 + 32 = 82

49 + 9 = 64

58 = 64

Since the equation is not true, we can deduce that ABC is NOT a right triangle

Answer:

ABC is not a right triangle.

Step-by-step explanation:

The perimeter of a triangle is the sum of all its sides(easier to see if you draw it):

P = AB + BC + AC

We can substitute the values we have:

18 = 7 + 3 + AC

18 = 10 + AC

AC = 8

In a right triangle, the hypotenuse is always the largest side and is equal to the square root of the squares of the legs by the pythagorean theorem(a^2 + b^2 = c^2). Our largest side is 8, so we would set that as equal to the hypotenuse:

8^2 = 7^2 + 3^2

64 = 49 + 9

64 = 58

64 is not equal to 58, so triangle ABC is not a right triangle.

angle D = 92°

Step-by-step explanation:

Since the two figures are congruent.

angle D = angle K

20x + 12 = 25x - 8

5x = 20

x = 4

Substituting this value into angle D, we see that

angle D = 20x + 12

= 20(4) + 12

= 92°

Answer:

0

Step-by-step explanation:

If two events are disjoing (aka mutually exclusive) that means that there is 0 overlap or the intersection equals 0

So the probability of A and B occuring is 0 (because P(A∩B)= 0)

Answer:

11:32:00 AM

Step-by-step explanation:

Answer:

5.235

Step-by-step explanation:

Just use a calculator

Else

5.250

-0.015

______

5.235

Add 0 to make it equal. Carry 1 from 5 of 5.2'5'0 to 0 and make it 10. 10g5 is 5. Then 4 remains .4-1 is 3. Others are normally subtracted.

Answer:

7 yards

Step-by-step explanation:

Answer:

7yd

ep-by-step explanat

Answer: 148

Step-by-step explanation: All the angles are the same and if you take 180-32 you get 148 and that is the answer.

-Helper

Given:

The function is:

[tex]f(x)=6x-3[/tex]

To find:

The inverse of the given function, then draw the graphs of function and its inverse.

Solution:

We have,

[tex]f(x)=6x-3[/tex]

Step 1: Substitute [tex]f(x)=y[/tex].

[tex]y=6x-3[/tex]

Step 2: Interchange x and y.

[tex]x=6y-3[/tex]

Step 3: Isolate variable y.

[tex]x+3=6y[/tex]

[tex]\dfrac{x+3}{6}=y[/tex]

Step 4: Substitute [tex]y=g(x)[/tex].

[tex]\dfrac{x+3}{6}=g(x)[/tex]

Therefore, the inverse of the given function is [tex]g(x)=\dfrac{x+3}{6}[/tex] and the graphs of these functions are shown below.

Step-by-step explanation:

a) A=π302=900π CM2 =2,827 CM 2

b) V=Ah=900=72000 π cm 3 = 226,195 cm3

Answer:

The answer is B.

Step-by-step explanation:

The formula is Area = L x H

And remember perimiter is adding the legnth of all sides.

For A:

12 × 3 = 36

12 + 12 + 3 + 3 = 30

For B:

4 × 8 = 32

4 + 4 + 8 + 8 = 24

For C:

6 × 6 = 36

6 + 6 + 6 + 6 = 24

Hence, the answer is B, since B is the only one which meets the criteria.

Answer:

1.375 ft

Step-by-step explanation:

10/2.5 = 4

5.5 / 4 = 1 1.5/4 = 1 3/8 = 1.375 ft

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

[tex]\frac{x^6-yx-y^5}{x}[/tex]

Step-by-step explanation:

x^5-y^5 divided x-y

[tex]\frac{(x^5-y)x}{x} -\frac{y^5}{x}[/tex]

[tex]\frac{(x^5-y)x-y^5}{x}[/tex]

=> [tex]\frac{x^6-yx-y^5}{x}[/tex]