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Eddi Din [679]
3 years ago
9

A pair of linear equations is shown below:

Mathematics
2 answers:
iren [92.7K]3 years ago
5 0

Answer:

<em>A. the first line has y-intercept = 5 and slope = -3, </em>

<em>and the second line has y-intercept = 2 and slope = 1.</em>

Explanation:

The given pair of lines are as follows,

y=-3x+5

y=x+2

The general slope-intercept form of straight line is,

y=mx+c

where,

m = slope of the line

c = y-intercept

Comparing this with the line equations,

slope of 1st line = -3, y-intercept of 1st line = 5

slope of 2nd line = 1, y-intercept of 2nd line = 2

*The point of intersection is attached below.

Arlecino [84]3 years ago
3 0
Simple, it's A.

y=-3x+5
and
y=x+2

The slope for the first line is m=-3 and y-intercept y=5

The slope for the second line is m=1 and y-intercept y=2

The only logical answer is A. Thus, your answer.
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Answer:

15.9

Step-by-step explanation:

4 1/4 x 3 x 1 1/4 = 15.93

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Hope this helps!

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3 years ago
Pls help question b
Snowcat [4.5K]

Answer: 44

Step-by-step explanation:

1/5 of the slab are grey implies that 4/5 are yellow.

The ratio of grey to yellow is thus given as :

1/5 : 4/5

which is 1 : 4

Therefore , the ratio of grey to yellow is 1: 4

The total ratio = 1 + 4 = 5

To calculate the number of yellow , we use the formula

number of yellow = \frac{ratio of yellow}{total ratio} X  total number of slabs , that is

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3 0
3 years ago
Which is the graph of f(x) = -(x + 3)(x + 1)?
ch4aika [34]

Answer:

Step-by-step explanation:

x intercepts are -3,-1

f(x)=-(x²+x+3x+3)=-(x²+4x)-3=-(x²+4x+4-4)-3=-(x+2)²+4-3

or f(x)=-(x+2)²+1

vertex is (-2,1)

so it is an inverted  parabola with vertex (-2,1) and x-intercepts (-3,0) and (-1,0)

3 0
3 years ago
d) What are the values for coefficients a, b, and c in the quadratic equation for Daredevil Danny’s practice jump? (5 points)
SIZIF [17.4K]

Answer:

a = -0.32

b = 16

c = - 168

Step-by-step explanation:

In the figure attached, the quadratic function is shown. We can model it as follows:

y = a*(x - x1)*(x - x2)

where (x1, 0) and (x2, 0) are its roots

From the picture, roots are (15, 0) and (35, 0), replacing them into the equation:

y = a*(x - 15)*(x - 35)

and the vertex is at (25,32), replacing into the equation:

32 = a*(25 - 15)*(25 - 35)

32 = a*(-100)

a = 32/(-100)

a = -0.32

Applying distributive property:

y = -0.32*(x - 15)*(x - 35)

y = -0.32*(x² - 35x - 15x + 525)

y = -0.32x² + 16x - 168

which corresponds to the general form:

y = ax² + bx + c

3 0
3 years ago
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