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Damm [24]
3 years ago
7

Describe how the graph of y = x2 can be transformed to the graph of the given equation. y = (x+4)2

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
6 0
Moving 4 units to the left would change from y=x^2 to y=(x+4)^2.
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What is the y-intercept of the equation of the line that is perpendicular to the line y =
Luda [366]

Answer:

y intercept =10

line y=-x+10

Step-by-step explanation:

Let y=mx+b is the required line.

<u>Slope of perpendicular lines :</u> If m_{1} and m_{2} be slope of two perpendicular lines. Them m_{1}\times m_{2}=-1

y=mx+b is perpendicular to y=x+10

the slope of y=x+10  is =1

m\times 1=-1\\m=-1

Hence eqn is y=-x+b

This equation passes through (15,-5)

-5=-15+b\\b=-5+15\\b=10

so the line is y=-x+10

<u>y-intercept :</u>

Substitute x=10

y=0+10\\y=10

7 0
3 years ago
Factorising Quadratics
umka21 [38]
Quadratic formula where:
ax ^{2}  + bx + c
\frac{ - b + { \sqrt{b^{2} - 4ac } }}{2a}
\frac{ - b -  \sqrt{b { }^{2} - 4ac } }{2a}
do both do get the roots of the equation
5 0
3 years ago
Read 2 more answers
g Recall the method used to obtain a confidence interval for the difference between two population means for matched samples. (a
Dovator [93]

Answer:

Step-by-step explanation:

Population 1: 11, 7, 9, 12, 13, 15, 15

Population 2: 6, 6, 4, 5, 8, 13, 12

Mean = sum of terms/number of terms

For population 1,

number of terms = 7

Mean = (11 + 7 + 9 + 12 + 13 + 15 + 15)/7 = 82/7 = 11.7

For population 2,

Number of terms = 7

Mean = (6 + 6 + 4 + 5 + 8 + 13 + 12)/7 = 7.71

The difference value for each element is

(11 + 7 + 9 + 12 + 13 + 15 + 15) - (6 + 6 + 4 + 5 + 8 + 13 + 12) = (5, 1, 5, 7, 5, 2, 3)

The difference between the two means is

Mean of population 1 - mean of population 2

Difference = 11.7 - 7.71 = 3.99

8 0
3 years ago
At lunch, $60\%$ of the students selected soda while $20\%$ selected milk. If 72 students selected soda, how many students selec
Nadusha1986 [10]

Answer:

24 students

Step-by-step explanation:

If 60% equals 72, then 20% would be 1/3 of 72 which is 24.

7 0
3 years ago
Read 2 more answers
Help me please answer this question
vichka [17]

Answer:

y = 7x + 12

Step-by-step explanation:

Slope (m) = 7

Line is passing through the point (0, 12)

y-intercept (b) = 12

Equation of line in slope-intercept form is given as:

y = mx + b \\  \\ y = 7x + 12

5 0
3 years ago
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