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raketka [301]
3 years ago
7

The sum of two numbers is 52. The greater number is 4 more than the smaller number. Which equation can be used to solve for the

smaller number? (5 points)
x − (x + 4) = 52
x + (x + 4) = 52
x(x + 4) = 52
x(x − 4) = 52
Mathematics
1 answer:
Oliga [24]3 years ago
3 0

Answer:

x+(x+4)=52

Step-by-step explanation:

let the small number be x

The greater number is 4 more than the small number=x+4

sum of numbers= x+ (x+4)

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An initial population of 30 rabbits doubles each year for 6 years what is the rabbit population after 6 years?
yanalaym [24]

Answer:

1920

Step-by-step explanation:

Each time you multiply by to 6 times. 30 does not count as a year.

3 0
3 years ago
Point T' has coordinates (-3, 4). If it was translated up 3 units, what were the coordinates of its pre-image?
MrMuchimi
Translation refers to a rigid motion or transformation where you move an object from one location to another. 
Translations are base on the rule (x,y) -- (x+a, y+b) where the words right and left represent the change in the x-axis, and the words up and down the change in the y-axis.

In this exercise it is asked you to find the coordinates of the preimage of point T', which has the coordinates (-3,4) and is the effect of a translation of 3 units up. As previous said, the words up and down represent a change on the y-axis, meaning that the y-coordinate is the one that should be changed.

If the translation from the preimage to the image was 3 units up, then the preimage can be found by subtracting three units.
Pre-image: (-3,4-3)= (-3,1)

The point that represents the coordinates of the pre-image is (-3,1).
6 0
3 years ago
Read 2 more answers
The height of a tennis ball tossed into the air is modeled by h(x) = 40x â€" 16x 2, where x is elapsed time in seconds. During w
egoroff_w [7]

The time interval x >0.5 and x > 2.04 will the tennis ball be at least 15 feet above the ground.

Given that,

The height of a tennis ball tossed into the air is modeled by,

\rm h(x) = 40x - 16x^2

Where x is elapsed time in seconds.

We have to determine,

During what time interval will the tennis ball be at least 15 feet above the ground?

According to the question,

The height of a tennis ball tossed into the air is modeled by,

\rm h(x) = 40x - 16x^2

Where x is elapsed time in seconds.

Then,

When the tennis ball be at least 15 feet above the ground,

h(x) = 15

Substitute the value of h(x) in the equation,

\rm h(x) = 40x - 16x^2\\\\ 15 = 40x - 16x^2\\\\ 16x^2-40x+15=0

Factorize the equation for finding the time interval will the tennis ball be at least 15 feet above the ground is,

\rm 16x^2-40x+15= 0\\\\x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\x = \dfrac{-(-40)\pm \sqrt{(-40)^2-4 \times 16 \times 15}}{2 \times 16}\\\\x =  \dfrac{-(-40)\pm \sqrt{1600- 960}}{32}\\\\x =  \dfrac{40\pm \sqrt{640}}{32}\\\\x =  \dfrac{40 + 25.29}{32} \\\\x =  \dfrac{40 + 25.29}{32} \ and \ x =  \dfrac{40 - 25.29}{32}\\\\x = \dfrac{65.29}{32} \ and \ x = \dfrac{14.71}{32}\\\\x = 2.04 \ and \ x = 0.45

Hence, The time interval x >0.5 and x > 2.04 will the tennis ball be at least 15 feet above the ground.

For more details about Inequality refer to the link given below.

brainly.com/question/17177510

7 0
3 years ago
Who drew a line with a slope of 3? names are above each graph
hoa [83]

Answer:

Benito did

Step-by-step explanation:

a slope is basically rise over run so u can see that he started at -1.

-1 plus 3 is 2

then the run part is just going right one since its a whole number

4 0
3 years ago
What is a turning point on a quadratic graph?
Cerrena [4.2K]

Answer:

A turning point is the highest or lowest point on a quadratic graph.

Step-by-step explanation:

A quadratic graph looks something like the graph below.

The equation of a quadratic graph would normally look like

+/- ax^2 + bx + c

An example might be -16x^2 + 5x + 4

Note the negative symbol in front of the 16. The negative means that the graph will be facing downwards, or that the turning point is the highest point. A positive graph will mean that the graph is facing upwards, or that the turning point is the lowest point.

Essentially, it is the location where a graph has its lowest or highest point and where the y-values (can include x-values in horizontal quadratics) "turn" to the direction they originated.

3 0
2 years ago
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