For the​ function, find the points on the graph at which the tangent line is horizontal. If none​ exist, state that fact. SHOW WORK PLEASE!

4x + 8y = -40

if x = -6

4(-6) + 8y = -40

-24 + 8y = -40

8y = -40 + 24

8y = - 16

y = -16/8

y = -2

Answer:

Step-by-step explanation:

To find value of y

4x + 8y = -40

x = -6

=> 4x + 8y = -40

[By putting the value of x = -6 then ]

=> 4×(-6) + 8y = -40

=> -24 + 8y = -40

=> 8y = -40 + 24

=> 8y = -16

[tex] = > y = \frac{ - 16}{8} [/tex]

=> y = -2

Hence, required value of y is -2 (Ans)

Answer:

g(x) = 2e - 5

Step-by-step explanation:

f(x) = e

2 f(x) = 2e : vertical stretch by a factor 2

2 f(x) - 5 : transition 5 units down

g(x) = 2 f(x) - 5 = 2e - 5

Answer:

131°

Step-by-step explanation:

the equations represent alternate exterior congruent angles so they are equal.

31x + 7 = 32x + 3

simplify:

4 = x

31(4) + 7 = 131°

Answer:

A) zeros are x = ½ or x = ½

B) >> sum of zeros = (-Coefficient of x)/(Coefficient of x²)

>> Product of the zeros = Constant term/Coefficient of x²

Step-by-step explanation:

To find the zeros, we will equate the polynomial to zero.

Thus;

4x² - 4x + 1 = 0

Using quadratic equation, we can find the zeros.

x = [-(-4) ± √((-4)² - (4 × 4 × 1))]/(2 × 4)

x = (4 ± 0)/8

x = 4/8 and x = 4/8

Thus, zeros are x = ½ or x = ½

Now, to find the relationships between its zeroes and coefficients;

Sum of zeroes = ½ + ½ = 1

This is equal to -b/a = -(-4)/4 = 1.

Thus;

sum of zeros = (-Coefficient of x)/(Coefficient of x²)

Product of zeros = ½ × ½ = ¼

c/a = 1/4

This is equal to the product of the zeros.

Thus;

Product of the zeros = Constant term/Coefficient of x²

Answer:

the  area of the lawn in square meters is  60 meters^2

Step-by-step explanation:

The computation of the area of the lawn in square meters is shown below

= 12 meters × 5 meters

= 60 meters ^2

Here we multiply the two sides so that the area of the lawn could be come

Hence, the  area of the lawn in square meters is  60 meters^2

Answer: By the 8th week.

Step-by-step explanation:

Let the time that matteo and luca have the same amount of money be represented by x.

The information given in the question can be formed into an equation as:

400 - 10x = 200 + 15x

Collect like terms

400 - 200 = 15x + 10x

200 = 25x

x = 200/25

x = 8

Matteo and Luca will have the same amount of money by the 8th week.

Answer: 12 ounces

Step-by-step explanation:

Let the ounces of fruits that should be added be represented by x.

Based on the information given in the question, this can be represented by:

3/2 = 18/x

Cross multiply

3 × x = 18 × 2

3x = 36

x = 36/3

x = 12

Therefore, 12 ounces of nuts should be added.

Answer:

Closed circle going right

Step-by-step explanation:

Answer:

Answers are all in pictures.

Answer:

x = −5.5 i think

Step-by-step explanation:

Good Luck!

Answer:

The tangent segments whose endpoints are the points of tangency and the fixed point outside the circle are equal. In other words, tangent segments drawn to the same circle from the same point (there are two for every circle) are equal.

Step-by-step explanation:

Answer:

67.5 feet

Step-by-step explanation:

If 1 inch = 9 feet, and the model is 7.5 inches,

you just need to do 7.5 • 9 = 67.5 feet.

OR

7 • 9 = 63 and 1/2 (or .5) • 9 = 4.5

63 + 4.5 = 67.5

*I'm pretty sure it says 1 inch = 9 feet and I'm also basing this off the fact that your work for question 2 is showing the same ratio of 1 inch = 9 feet

Answer:

17

Step-by-step explanation:

Order of operations are..

Parentheses ()

Exponents 10^2

Multiply *

Division /

Addition +

Subtraction -

8+10-2/2

first you would do -2/2=-1

then your problem is 8+10-1

8+10=18-1=17

Answer:

3x+14

Step-by-step explanation:

4(8)+3(x-6)

=32+3x-18

=3x+14

Answer:

Step-by-step explanation:

Find the missing side of the rectangle, use Pythagorean:

Find area of rectangle:

Correct choice is A

Answer:

40 cm

Step-by-step explanation:

The area (A) of a rectangle is calculated as

A = lb ( l is the length and b the breadth )

Here b = 20 and A = 800 , then

l × 20 = 800 ( divide both sides by 20 )

l = 40 cm

Answer:

6(3+8)

Step-by-step explanation:

6(3+8)= 6×3+6×8=18+48

this is the given value of A

The correct expressions for total area = 6x3 + 6x8 or 6(3+8)

Rectangles are four-sided polygons with all internal angles equal to 90 degrees. At each corner or vertex, two sides meet at right angles. The rectangle differs from a square in that its opposite sides are equal in length.

In the given figure,

Area of one room = 18 square feet

Area of second room = 48 square feet

Now since we can see that,

the width of both rooms is same,

therefore,

we have 6 as common factor of 18 and 48

As, 18 = 6x3

      48 = 6x8

Total are of the given figure = 18 + 48

Since we know that,

Area of rectangle = length x width

Therefore,

area of both rooms  = 18 + 48

                                 = 6x3 + 6x8

                                 = 6(3+8)

Hence,

The rooms total area of both rooms = 6x3 + 6x8 or 6(3+8)

Learn more about the rectangle visit:

https://brainly.com/question/2607596

#SPJ2

Answer:

There's no figure, but okay! The type of correlation that exists between the temperature and the number of fruit bars sold is a positive correlation.

The real-world meaning of the slope of the line of best fit for the given scenario is that: As the temperature increases, so too does the number of fruit bars sold.

I hope that helps you!! ^-^

Answer:

What type of correlation exists between the temperature and the number of fruit bars sold?

✔ positive

What is the real-world meaning of the slope of the line of best fit for the given scenario?

There are approximately ✔ 2.2 more fruit bars sold for every ✔ 1 degree(s) the temperature rises.

Step-by-step explanation:

got it right in edg 2021, hope this is of help :)

Answer:

$8,640

Step-by-step explanation:

I = Prt

I = (48000)(0.03)(6)

I = 8640

Answer:

understandable

Step-by-step explanation:

Option B is the 100% right answer

Answer:

6√2 is your answer

relationship between perpendicular and hypotenuse is given by sin angle

sin45=p/h

sin45=6/x

x=6/sin45=6√2

Answer:

Yes this is multiplication

Answer is: 105km

Step-by-step explanation:

multiply 3.75 by 28 to find the total number he ran

3.75•28= 105km

hope this helps chu <3

Answer:153.86

Step-by-step explanation:

Answer:

Step-by-step explanation:

A B

definition of a parallelogram a quadrilateral with both pairs of opposite sides parallel

five properties/theorems for parallelograms opposite sides are parallel, diagonals bisect each other, opposite sides are congruent, opposite angles are congruent, consecutive angles are supplementary

definition of a rectangle a quadrilateral with four right angles

rectangle theorems if a parallelogram is a rectangle, then its diagonals are congruent; if the diagonals of a parallelogram are congruent, then the paralellogram is a rectangle

five properties of a rectangle opposite sides are congruent and parallel; opposite angles are congruent; consecutive angles are supplementary; diagonals are congruent and bisect each other; all four angles are right angles

definition of a rhombus a quadrilateral with four congruent sides

rhombus theroems the diagonals of a rhombus are perpendicular; if the diagonals of a parallelogram are perpendicular, then the paralellogram is a rhombus; each diagonal of a rhombus bisects a pair of opposite angles

properties of a rhombus all parallelogram properties apply; all four sides are congruent; diagonals are perpendicular; the diagonals bisect opposite angles

definition of a square a quadrilateral with four right angles and four congruent sides

properties of a square the properties of a rectangle plus the properties of a rhombus; four right angles; all four sides are congruent

definition of a trapezoid a quadrilateral with exactly one pair of parallel sides

definition of an isosceles trapezoid a trapezoid with the legs congruent

isosceles trapezoid theroems both pairs of base angles are congruent; the diagonals are congruent

trapezoid median theorem the median of a trapezoid is parallel to the bases and its measure is one-half the sum of the measures of the bases, or median=1/2(x+y)

in these quadrilaterals, the diagonals bisect each other paralellogram, rectangle, rhombus, square

in these quadrilaterals, the diagonals are congruent rectangle, square, isosceles trapezoid

in these quadrilaterals, each of the diagonals bisects a pair of opposite angles rhombus, square

in these quadrilaterals, the diagonals are perpendicular rhombus, square

a rhombus is always a... parallelogram

a square is always a... parallelogram, rhombus, and rectangle

a rectangle is always a... parallelogram

a square is never a... trapezoid, because trapezoids only have one pair of parallel sides

a trapezoid is never a... parallelogram, rhombus, rectangle, or square, because trapezoids only have one pair of parallel sides

these quadrilaterals always have all four congruent sides rhombus, square

these quadrilaterals always have all four right angles rectangle, square

these quadrilaterals always have perpendicular diagonals rhombus, square

if you divide a square into four right triangles by drawing its two diagonals, the measure of each of the angles in the triangles that is not a right angle is... 45 degrees

the diagonals of a rhombus... are not always congruent, but they are always perpendicular and they do always bisect each other, and they do always bisect the pairs of opposite angles

the diagonals of a rectangle... are not always perpendicular, but they are always congruent and they always bisect each other

the diagonals of a parallelogram... always bisect each other

Answer:

squares, rectangles, trapeziods (only if isoceles)

Step-by-step explanation:

Squares are rectangles and rectangles always will have diagonals that are congruent. Trapezoids, if isoceles, will have congruent diagonals.

Answer:

[tex]5(t - g) = 2t + 7 \\ 5t - 5g = 2t + 7 \\ 5t - 2t = 7 + 5g \\ 3t = 7 + 5g \\ t = \frac{7 + 5g}{3} [/tex]

Answer:

45°

Step-by-step explanation:

90 + 2(45) = 180

90 + 2(25) ≠ 180

90 + 2(80) ≠ 180

90 + 2(90) ≠ 180

Answer: The smallest number is 0.123

Step-by-step explanation:

We want to find the smallest number between:

0.123 and 0.13

To do it, we first need to look at the largest digit of each number and see which one is larger.

In both cases we can see that the largest digit  for both numbers is the first digit after the decimal point.

For both numbers this digit is 1, so we can't conclude nothing yet.

Now we need to look at the next digit.

For 0.123, the second digit is 2.

For 0.13 the second digit is 3.

Then the second digit is larger for 0.13, this means that 0.123 is the smallest number.

I can not explain you how to use the grids below because i can not see them in the question.