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2 years ago

Which of the following graphs has x-intercepts of -1 and 2?

Mathematics

1 answer:

Vlad1618 [11]2 years ago

8 0

Answer:

this graph has an x-intercept values of -1 and 2

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The graph of 15x + 7y = 15 is shown on the grid. Which ordered pair is in the solution set of 15x + 7y ≥ 15?

elena55 [62]

Answer:

The correct option is c.

Step-by-step explanation:

The given equation is

$15x+7y=15$

The given inequality is

$15x+7y\geq 15$

A point will contained in solution set if the above inequality satisfied by that point.

Check the point (0,-3),

$15(0)+7(-3)\geq 15$

$-21\geq 15$

This statement is false, therefore option a is incorrect.

Check the point (-3,0),

$15(-3)+7(0)\geq 15$

$-45\geq 15$

This statement is false, therefore option b is incorrect.

Check the point (3,3),

$15(3)+7(3)\geq 15$

$66\geq 15$

This statement is true, therefore option c is correct.

Check the point (-3,-3),

$15(-3)+7(-3)\geq 15$

$-66\geq 15$

This statement is false, therefore option d is incorrect.

7 0

3 years ago

Which statement accurately represents to

iris [78.8K]

Answer:

As pressure increases, volume decreases.

Hope this answer correct :)

7 0

3 years ago

The equation of a circle is (x + 6)^2 + (y - 4)^2 = 16. The point (-6, 8) is on the circle.

pantera1 [17]

Answer:

y = 8 is the equation of tangent.

Step-by-step explanation:

The equation of the tangent to the circle at (-6,8) is of the form:

y = mx + c

where m is the slope of the tangent and c is the y-intercept.

The point (-6,8) lies on the circle and the tangent line as well.

Hence (-6,8) satisfies the line equation:

8 = m(-6) + c ⇒ c-6m = 8 -------------1

We know that slope of two perpendicular lines are related as:

$m_{1}\times m_{2}=-1$

At any point on the circle, the normal line at a point is always perpendicular to the tangent line at that point.

Hence :

$m_{normal} \times m_{tangent}=-1$

We can find the slope of the normal at point (-6,8) as it passes through the centre of the circle (-6,4) by using the two-points formula for slope.

$m=\frac{y_2-y_1}{x_2-x_1}$

$=\frac{8-4}{-6+6}$

= ∞

Slope of the normal is infinity and hence slope of tangent is -1/∞ = 0

Hence m=0

Putting m=0 in equation 1 we get:

c = 8

The equation of tangent line at (-6,8) is:

y = 8

6 0

3 years ago

Which series of transformations will not map figure H onto itself?

chubhunter [2.5K]

Answer:

(x + 0, y − 2), reflection over y = 1

Step-by-step explanation:

H will be shifted down 2 units and then reflected over y = 1, which maps H into itself

3 0

3 years ago

Ayonna has $300 gift card. She buys video games that cost $50 each . After

abruzzese [7]

Answer:

Step-by-step explanation:

300- x =100

50+50=100

100+100=200

300-200=100

so she bought 4 video games

5 0

3 years ago