You go to a restaurant and order $137.61 worth of food. You decide to tip the waiter

If you apply ghe change below to the quadratic parent function f(x)=x2 what is the equation of the new function? Shift 1 unit ri

saveliy_v [14]

1 to left gives (x -1)^2

vertical stretch makes it 5(x - 1)^2

reflection in axis changes the sign to - :-

equation of new function is f(x) = -5(x - 1)^2

6 0

3 years ago

The equation for the horizontal line that contains the point E(3, –4)?

Effectus [21]

The slope of a horizontal line will have a value equal to 0:
m=0
Point-slope form of a line: we need a point (x₀,y₀) and the slope "m".
y-y₀=m(x-x₀)

We have a point ( E(3,-4) ) and the slope of this line (m=0); therefore:y
y+4=0(x-3=
y+4=0
y=-4

Answer: the equation for the horizontal line that contains the point E, would be:
y=-4

7 0

3 years ago

A recreation center ordered a total of 15 try schools and bicycles from a sporting good store. The number of wheels for all tric

Juli2301 [7.4K]

Answer: The linear system of equations that models this scenario are

T + B = 15

3T + 2B = 38

Step-by-step explanation:

Let T represent the number of tricycles.

Let B represents the number of bicycles ordered.

The recreation center ordered a total of 15 tricycles and bicycles from a sporting good store. It is expressed as

T + B = 15

A tricycle has three wheels. A bicycle has 2 wheels. The number of wheels for all tricycles and bicycles total 38. The expression would be

3T + 2B = 38

6 0

3 years ago

The ratio of band students to choir students is 4:6. There are a total of 60 students in the band and choir. How many students a

xenn [34]

Answer:

24

Step-by-step explanation:

Given that:

The ratio of band students to choir students is 4 : 6.

Total number of students in the band and choir combined = 60

To find:

The number of students in the band = ?

Solution:

First of all, let us understand the meaning of the ratio given.

Ratio of 4 : 6 means there are 4 number of band students for every 6 number of choir students.

Also, number of band students will be in the multiples of 4 only and

number of choir students will be in the multiples of 6 only

Let the total number of band students = 4 $x$

Let the total number of choir students = 6 $x$

Total number of students = 60

As per question statement, we can write the following equation:

$\Rightarrow 4x+6x=60\\\Rightarrow 10x = 60\\\Rightarrow x =6$

Total number of band students = 4 $\times$ 6 = 24

5 0

3 years ago

Researchers want to determine whether or not there is a difference in systolic blood pressure based on how many hours a person e

VARVARA [1.3K]

Answer:

(1) The between groups degrees of freedom is 2.

(2) TRUE.

(3) The correct option is (a).

Step-by-step explanation:

(1)

The between groups degrees of freedom for the study is:

$\text{df}_{B}=k-1\\=3-1\\=2$

Thus, the between groups degrees of freedom is 2.

(2)

The hypothesis for he one-way ANOVA is:

H₀: All the means are equal.

Hₐ: At least one of the mean is not equal.

The output of the ANOVA test is attached below.

The p-value of the test is 0.00005.

p-value = 0.00005 < α = 0.05

Thus, the result is statistically significant.

The statement is TRUE.

(3)

As the p-value of the test is less than the significance level, the researcher should make the decision to reject the null hypothesis.

The correct option is (a).

6 0

3 years ago