Let f (x) = -1/2(x + 2)+ 5
-3 to x=1?
What is the average rate of change for the quadratic function from x=-3 to x=1

Let F (x) = -1/2(x + 2)+ 5-3 To X=1?What Is The Average Rate Of Change For The Quadratic Function From

Answers

Answer 1

Answer:

Rate of change = -1

Step-by-step explanation:

Given:

f(x) = -½(x + 2)² + 5

Required:

Average rate of change from x = -3 to x = 1

Solution:

Rate of change = [tex] \frac{f(b) - f(a)}{b - a} [/tex]

Where,

a = -3,

f(a) = f(-3) = -½(-3 + 2)² + 5 = -½(-1)² + 5 = 4.5

b = 1,

f(b) = f(1) = -½(1 + 2)² + 5 = -½(9) + 5 = 0.5

Plug in the values into the formula:

Rate of change = [tex] \frac{0.5 - 4.5}{1 - (-3)} [/tex]

Rate of change = [tex] \frac{-4}{4} [/tex]

Rate of change = -1


Related Questions

PLEASE HELP
I DONT UNDERSTAND
In the diagram below, DE AE, BA | CE, CB || D A and mZE = 54°. Find mZC.​

Answers

Answer:

angle D should be equal to angle C

Step-by-step explanation:

i think this is the answer you need but i'm not sure

hhheeelllpppp pplllssss

Answers

Answer:

i think its a

Step-by-step explanation:

Answer:

B 7.2

Step-by-step explanation:

the coordinate of C: (1, 3)

the coordinate of E: (5, -3)

the distance formula: [tex]\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }[/tex]

= [tex]\sqrt{(5-1)^{2} + (-3-3)^{2}}[/tex]

= [tex]\sqrt{16+36}[/tex]

= [tex]\sqrt{52}[/tex]

≈ 7.2

what does x - (-3) = 17 equal?

Answers

Answer:

x = 14

Step-by-step explanation:

two negatives become a positive so the equation is now

x + 3 = 17

subtract 3 from both sides, giving you 14

NO LINKS. NO FILES. I will report you if you answer with either of these. The question is attached below:

Answers

Answer:

the answer for this question is C

Step-by-step explanation:

base radius = 0.8

Height = 3.5

Volume of a cone =

[tex] \frac{1}{3} \pi {r}^{2} h[/tex]

V=1/3 x 3.14 x 0.8^2 x 3.5

V=2.3445 in^3

V= 2.34 in^3

The area of the figure below is cm2. Round to the nearest
hundredth where necessary.
30 cm
30 cm
26 cm

Answers

Answer:

sorry the question is not clear enough

Which is the largest interval over which the function in the table is increasing?

Answers

Answer:

Solution given:

y=-1/2 x²

for

f(x)=-1/2 x².

differentiating each term with respect to x

f'(x)=-x

when

x=-4

f'(-4)=4>0 increasing

when

x=-2

f'(-2)=2 >0 increasing

when x=0

f'(0)=0 stationary point.

other points are decreasing

so

largest interval of increasing is

A.X<-2

What type of triangle is shown in the image?

a triangle with two angles that are thirty degrees, and one angle that is one hundred twenty degrees

Group of answer choices

Acute triangle

Right triangle

Equilateral triangle

Obtuse triangle

Answers

Answer:

the answer is an obtuse triangle

The triangle in the image is an obtuse triangle.

In any triangle, the sum of the three angles is always 180 degrees.

Here, the sum of the two angles is 30 + 30 = 60 degrees.

Now, Adding the 120 degrees angle

= 60 + 120

= 180 degrees, which is consistent with the sum of angles in a triangle.

Now, let's consider the types of triangles:

1. Acute triangle: All three angles in an acute triangle are less than 90 degrees.

2. Right triangle: A right triangle has one angle that measures exactly 90 degrees.

3. Equilateral triangle: An equilateral triangle has all three angles equal to 60 degrees.

4. Obtuse triangle: An obtuse triangle has one angle that is greater than 90 degrees.

Thus, the triangle in the image is an obtuse triangle.

Learn more about Type of Triangle here:

https://brainly.com/question/27682397

#SPJ6

Geometry help please. Complete the similarity statement, in the box below, of these two triangles.

Answers

Answer:

ΔIJK ≈ ΔXVW

Step-by-step explanation:

Suppose that the delivery times of a nationwide pizza chain are normally distributed with an unknown mean and standard deviation. The delivery times of 26 randomly sampled pizza orders are used to estimate the mean delivery time for the population. What t-score should be used to find the 95% confidence interval for the population mean?

Answers

Answer:

The t-score to be used to find the 95% confidence interval for the population mean is;

[tex]t_{(0.025, \, 25)} = 2.06[/tex]

Step-by-step explanation:

The t-score which is representative of a point with n - k (n, and k represents the sample size and the number of groups in the test respectively) degrees of freedom  from the Student's T-distribution is a standard test statistic obtained by applying a T-test

Therefore, the t-score used for a confidence interval is obtained by by making use of the the following information;

The number of degrees of freedom = n - k

The confidence level in the confidence interval

The parameters given in the question are;

The number of pizza orders in the sample, n = The sample size = 26

The number of samples used in the estimate, k = 1 group of 26 randomly sampled pizza

The level of confidence (the probability) that the interval contains the population mean = 95%

Therefore, the significance level, α = 1 - 95% = 1 - 95/100 = 0.05

∴ The α-level for the upper and lower limit of the interval are α/2 = 0.05/2 = 0.025 long

The degrees of freedom, df = n - k

∴ For the estimation, DF = 26 - 1 = 25

The t-statistic is therefore the t-value at the intersection of the row for DF = 25 and the 0.025 (one-tail) column (0.025 two-tail column) which gives;

[tex]t_{(\alpha /2, \, DF)} = t_{(0.025, \, 25)} = 2.06[/tex]

Use the coordinate plane. Identity the ordered pair
that names each point.




PLEASE ANSWER THIS IS URGENT​

Answers

Answer:

A= (-1.5, 1)

B= (0.5, -2)

C= (-1, -1.5)

D= (1, 1.5)

how do you find the value of x

Answers

Answer:

To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Step-by-step explanation:

isnt the x a 90 degree angle?

45+45+x =180
(Because all triangles have a sum of 180)
90+x=180
Subtract 90 from both sides
X=90

CHECK
45+45+90= 180

-5 1/4+ 2 4/6


I NEED AN A ON THIS ​

Answers

Answer:

-2 7/12

Step by step answer:

What is the volume of the cargo area of the moving truck?

A. 696 cubic feet

B. 756 cubic feet

C. 824 cubic feet

D. 888 cubic feet

Answers

Answer:

888sq. ft

Step-by-step explanation:

Volume of a rectangular prism = length * width * height

For the given diagram

area of the truck = area of the bigger + area of smaller prism

area of the bigger prism = 6 * 9 * 16

area of the bigger prism = 864sq. ft

Area of smaller prism = 2 * 2 * 6

Area of smaller prism = 24 sq. ft

Area of the figure = 864 + 24

Area of the figure = 888sq. ft

Write -0.5 repeating as a fraction or mixed number

Answers

Answer:

Step-by-step explanation:

1/2 as a fraction

When you divide both sides of an inequality by a negative number, you need to _____ the inequality symbol.

A. flip
B. eliminate
C. raise
D. multiply

Answers

Answer:

The correct option is option;

A. Flip

Step-by-step explanation:

When both sides of an inequality is divided by a negative number, it changes the sign of both numbers while their magnitude remain the same;

Therefore, if the right hand side of the inequality is lesser than the left hand side, when the signs of the left and right hand sides of the inequality changes after a division , by a negative number, we have;

The smaller right hand side of the inequality will then have a lesser negative magnitude than the left hand side of the inequality with a higher negative value and the left hand side (with the higher negative value) becomes lesser than the right and therefore, the symbol (sign) of the inequality is flipped

Therefore, when you divide both sides of an inequality by a negative number, you need to flip the inequality symbol.

What is the value of y in the equation 2(3y − 15) = 0?

Answers

Answer:

y = 5

Step-by-step explanation:

2(3y - 15) = 0

6y - 30 = 0

6y - 30 + 30 = 0 + 30

6y = 30

6y ÷ 6 = 30 ÷ 6

y = 5

help BRAINLES tysmm

Answers

Answer:

64 units^2

Step-by-step explanation:

A = 1/2*b*h

A = 1/2 * 16 * 8

A = 64

Answer:

64 units

Step-by-step explanation:

No desenvolvimento da multiplicação 2 × (4+7) = 2 × 4 + 2 × 7 = 8 + 14 = 22, qual propriedade fui utilizada?

Answers

Answer:

Propiedad distributiva de la multiplicación sobre la suma

Step-by-step explanation:

Spanish

Propiedad distributiva de la multiplicación sobre la suma

2 × (4 + 7)

Aquí vemos que el número 2 se multiplica por 4 y 7

2 se distribuye a 4 y 7

= 2 × 4 + 2 × 7

Después de la multiplicación se suman ambos

= 8 + 14 = 22

Esta propiedad se llama propiedad distributiva de la multiplicación sobre la suma.

English

No development of multiplication 2 × (4 + 7) = 2 × 4 + 2 × 7 = 8 + 14 = 22, which property was used?

Distributive property of multiplication over addition

2 × (4 + 7)

Here we see that the number 2 is multiplied with both 4 and 7

2  is distributed  to both 4 and 7

= 2 × 4 + 2 × 7

After multiplication both are added

= 8 + 14 = 22

This property is called distributive  property of multiplication over addition.

Lale is mixing together some fertilizer. The instructions say to mix 20 liters of water with 5 liters of liquid fertilizer.
How many liters of water should Lale mix with 1 liter of liquid fertilizer?
O A 4 liters
B. 5 liters
C. 10 liters
D. 15 liters

Answers

Answer:

a. 4 liters of water......

Answer:

20/5 = 4

Step-by-step explanation:

the answer at the pic

nnnnnnnnneeeeeeeeddddddddd help

Answers

Answer:

It is C

Step-by-step explanation:

C is the correct answer but don't quote me on it

What is the name of the property shown below?
(9 x 2) + (9 x 10) =
9x (2 + 10)

distributive
commutative
associative
identity

Answers

Answer:

108 associative

Step-by-step explanation:

The name of the property shown below is called distributive property.

Hilton Head Island is about 12 miles long. Susan has a map that shows the island. If the scale on the map is 1 inch = 1/2 mile, what is the length of the island on Susan's map?

Answers

Answer:

20 inches long

Step-by-step explanation:

if 1inch=1/2 miles

then,1/2×12

___________

1

=1/2×12

=24 inches

Need help with this question asap please please

Answers

Answer:

M< D = 105⁰

Step-by-step explanation:

the sum of the opposite angles of a cyclic quadrilateral is 180⁰

hence, <ADC + <ABC = 180⁰

<ADC + 75⁰ = 180⁰

<ADC = 180⁰ - 75⁰

< ADC= 105⁰

Please let me know the answer to this

Answers

I think it’s number 2 sorry if it’s wrong!!

Ms. Hill goes to a burger place in California and orders 5 hamburgers and 3 fries and 6 hamburgers and 2 fries. What could she do to make her order simpler?

Answers

she can order 11 burgers and 5 orders of fries

I have a 45, 45, 90 right triangle. The hypotenuse is 10 units long. How long are the legs?

a) 5 units
b) √10 units
c) 5 √2
d) one is 5 units s and the other is 5 √3

Answers

Answer:

C

Step-by-step explanation:

The triangle follows the pattern:

45 - 45 - 90

x   -   x  -  xsqrt(2)

Since you already have the hypotenuse (90), you need to divide by sqrt(2) to get the legs.

[tex]\frac{10}{\sqrt{2} } = \frac{10\sqrt{2} }{2} = 5\sqrt{2}[/tex]

Answer:

C

Step-by-step explanation:

hope this helps:))))))))))

can someone please help me​

Answers

The answer is Y= -3/4x plus 3

Choose the set that is the possible side lengths of a right triangle.
a)1,1,2 b)3,5,9 c)3,4,7 d)1,1,square root2

Answers

Answer:

D

Step-by-step explanation:

Mathematically, for us to have a right triangle, Pythagoras’ theorem must be obeyed

From the theorem, the square of the hypotenuse (longest side) equals the sum of the squares of the two other sides

Let us take a look at the given set of numbers:

2 square is not same as 1 squared + 1 squared

9 squared is not equal to 3 squares + 5 squared

7 squared is not equal to 4 squared + 3 squared

But;

root 2 squared equals 1 squared plus 1 squared and that is our answer

7.4g of sugar is needed for every cake made. How much sugar is needed for 7 cakes?

Answers

Answer:

Sugar for 1 cake = 7.4 g

Sugar for 7 cakes = 7.4 × 7 = 51.8 g.

i cant tell if i did this wrong

Answers

Answer:

d = 2*5 = 10

Step-by-step explanation:

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