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MakcuM [25]
1 year ago
11

Sienna is solving the quadratic equation by completing the square. 3x2 + 9x – 4 = 0 3x2 + 9x = 4 A(x2 + 3x) = 4 What is the valu

e of A? –4 –3 3 4
Mathematics
1 answer:
bogdanovich [222]1 year ago
3 0

Answer:

I am going to show you the first steps to complete squares for the given equation: 1) Starting equation: 3x^2 + 9x -4 = 0 2) Add 4 to both sides => 3x^2 + 9x - 4 + 4 = 4 => 3x^2 + 9x = 4 3) Extract common factor 3 in the left side => 3 (x^2 + 3x). Now, compare with a(x^2 + 3x) and you get a = 3. Answer: a = 3.

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Which represents the reflection of f(x)= square root x over the x-axis?
antiseptic1488 [7]
The reflection of f(x)=sqrt(x) over x-axis will be represented by option a. This is because it is the reflection of the imaginary part of the function f(x)= sqrt(x). Hence the correct answer is a. 

8 0
2 years ago
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The sanitation department calculated that last year each city resident produced approximately 1.643 × 103 pounds of garbage. The
bija089 [108]

Given that, according to sanitation departments report; the samount of garbage produced by 1 resident = 1.643 \times 10^3pound.

Given that population of the city = 2.61 \times 10^5


Now we have to find how much garbage did the city sanitation department collect last year.

To find that we just need to multiply the garbage produced by 1 resident with the population of the city.


Total garbage collected = (2.61 \times 10^5 ) * (1.643 \times 10^3 ) pounds

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4 0
1 year ago
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Find a line that lies entirely in the set defined by the equation x2 + y2 − z2 = 1.
RUDIKE [14]

Answer:

x=1\,,\,y=t\,,\,z=t

Step-by-step explanation:

A line is a one-dimensional figure that has no thickness and extends infinitely in both directions.

A line segment is a line that has two end-points and a ray is a line that has one end-point.

Given equation is x^2+y^2-z^2=1

To find : a line that lies entirely in the set defined by the given equation.

Solution:

Take x=1\,,\,y=t\,,\,z=t

Check:

L.H.S=1^2+t^2-t^2=1+0=1=R.H.S

Therefore, x=1\,,\,y=t\,,\,z=t satisfy the given equation.

8 0
1 year ago
Point G is on segment FH such that it partitions segment FH into a ratio of 2:3.Point F is located at (5, 7) and point H is loca
Margarita [4]

Answer:

G = (9.4, 9,4)

Step-by-step explanation:

The ratio is applied in the x-distance and the y-distance. The ratio is 2:3 so you have to divide the distances by 5 and 2/5 correspond to FG and 3/5 to GH

x-distance:

x2 - x1 = 16 - 5 = 11

11/5 = 2.2

y-distance:

y2 - y1 = 13 - 7 = 6

6/5 = 1.2

Point G = Point F + (2.2*2, 1.2*2)

Point G = (5, 7) + (4.4, 2.4)

= (9.4, 9.4)

8 0
2 years ago
Mrs. Ronilo had her students make a stem-and-leaf plot of the heights of all of the students in the class. The mean was 55. Dave
shutvik [7]
Given that the mean is 55 inches  and Dave is 57 inches, he would have increased the mean of the height in the stem-and-leaf plot that the students were making. This is however is also dependent upon the central tendency that was used, in this case the central tendency is mean or average. 
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1 year ago
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