Using the graph, determine the coordinates of the x-intercepts of the parabola.
Y

Answer:

B

Step-by-step explanation:

The equation that can be used to solve for 'a' is a/sin35° = 30/sin60°.

A triangle is a three-sided closed-plane figure form by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know sine rule of triangles which states,

a/sinA + b/sinB + c/sinC.

We also know that the sum of all the interior angles in a triangle is 180°.

Therefore, The measure of angle B is 180° - (35 + 85)°.

= 60°.

So, The equation can you use to solve for 'a' would-be,

a/sin35° = 30/sin60°.

asin60° = 30sin35°.

(√3/2)a = 30×0.5735.

a = (30×0.5735)/0.866.

a = 17.205/0.866.

a = 19.87.

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Answer:

-0.9

Step-by-step explanation:

it is closer to 0

We know that f(x) is a positive, decreasing, and concave down function.

Therefore, the order, from least to greatest is:

Answer:

8 x 9.2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Angles that form a straight line ( add up to 180 ) are supplementary

angles 1 and 2 / 3 and 4 / 5 and 6 /angles 7 and 8 are all supplementary

Angles 1 and 7 are congruent angles

so angle 2 = 125

Subtract 125 from 180 = 55

180 - 125 = 55 degrees

Answer:

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=3,\:y=-1[/tex]

Step-by-step explanation:

[tex]3x - 4y = 13[/tex]

[tex]5x + 4y = 11[/tex]

isolate x for 3x-4y=13

[tex]\mathrm{Subsititute\:}x=\frac{13+4y}{3}[/tex]

[tex]\begin{bmatrix}5\cdot \frac{13+4y}{3}+4y=11\end{bmatrix}[/tex]

[tex]\frac{65+32y}{3}=11[/tex]

now isolate y for [tex]\frac{65+32y}{3}=11[/tex]

[tex]\frac{65+32y}{3}=11[/tex]

[tex]65+32y=33[/tex]

[tex]32y=-32[/tex]

Divide both sides by 32

[tex]\frac{32y}{32}=\frac{-32}{32}[/tex]

[tex]y=-1[/tex]

[tex]\mathrm{For\:}x=\frac{13+4y}{3}[/tex]

[tex]\mathrm{Subsititute\:}y=-1[/tex]

[tex]x=\frac{13+4\left(-1\right)}{3}[/tex]

  [tex]=\frac{13-4\cdot \:1}{3}[/tex]

  [tex]=\frac{9}{3}[/tex]

[tex]\mathrm{Divide\:the\:numbers:}\:\frac{9}{3}=3[/tex]

  [tex]=3[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=3,\:y=-1[/tex]

Answer:

-93

Step-by-step explanation:

Step one:

given the expressions

[tex]f(x) = -4x + 7\\\\g(x) = 2x^2 + 5x- 8[/tex]

we want (fog)(-3).

but (fog) is

[tex]f(x) = -4x + 7\\\\\ (fog)=-4(2x^2 + 5x -8) + 7\\\\ (fog)=-8x^2-20x+32+7[/tex]

Step two:

fog(-3)= put x= -3 in (fog)(-3)=-8x^2-20x+32+7

[tex](fog)(-3)=-8x^2-20x+32+7\\\\ (fog)(-3)=-8(-3)^2-20(-3)+32+7\\\\ (fog)(-3)=-8*9+60+32+7\\\\ (fog)(-3)=-72-60+32+7\\\\ (fog)(-3)=-93[/tex]

Answer:

Well if it made sense..

Step-by-step explanation:

Answer:

im pretty sure its 27.

Step-by-step explanation:

if g(x) = 20 then the new problem is 20=x-7

20=x-7 . add 7 to both sides

+7=+7 . +7 cancels out the -7

27=x . <<<answer

Answer: 307,000

Step-by-step explanation: Since 451 is less than 500, you want to round down.

Answer: 307,000

Step-by-step explanation: A number rounded to "the nearest thousand", must be multiple of 1000. In this case the value would be 306,000 or 307,000, or 308,000 or 309,000, depending on which of these our given number is closest (nearest) to. 307,495 is less than 307,500 , which is the value halfway between 307,000 and 308,000.

Answer:

c

Step-by-step explanation:

Answer:

-12≥x

Step-by-step explanation:

-10≥2x+14

-24≥2x

-12≥x

Answer:

[tex]\textsf{Constraint 1}: \quad 15x+10y\geq 1850[/tex]

[tex]\textsf{Constraint 2}: \quad y \leq 5x[/tex]

[tex]\textsf{Constraint 3}: \quad y \geq 65[/tex]

Step-by-step explanation:

Inequality signs:

Given variables:

Given information:

Therefore, the amount earned from mowing the lawns and walking dogs should be more than or equal to $1850:

[tex]\boxed{15x+10y\geq 1850}[/tex]

Given information:

Therefore, Sarah will walk less than or equal to 5 times the number of lawns mowed:

[tex]\boxed{y \leq 5x}[/tex]

Given information:

Therefore, Sarah will walk more than or equal to 65 dogs:

[tex]\boxed{y \geq 65}[/tex]

Answer:

15

Step-by-step explanation:

15

Answer:

I think it would be 12! :)

Step-by-step explanation:

[tex]4 x 3=12[/tex]

3 is the constant/ slope

5 is the y intercept

Answer:

Actually, there are two. They are the Parallelogram Opposite Sides Theorem and the Parallelogram Opposite Angles Theorem.

Step-by-step explanation:

POST means that if opposite sides of a quadrilateral are the same, it's a parallelogram.

POAT means that if opposite sides of a quadrilateral are the same, it's a parallelogram.

A quadrilateral has to meet both of these theorems to be a parallelogram.

Answer:

The smallest angle is 30 degrees, the second angle is 80 degrees and the third angle is 70 degrees

Step-by-step explanation:

let x = the smallest angle

This means that one angle is x+40, and the third angle is 3x-10. This make our equation:

x + 40 + 3x - 10 + x = 180

Combine like terms

5x + 30 = 180

Subtract 30 from both sides

5x = 150

Divide both sides by 5

x = 30

Plugging this in:

3x - 10 =

90 - 10 =

80

And for the other:

x + 40 =

30 + 40 =

70

Answer:

45

Step-by-step explanation:

jffjgnjfgnjgjfgjs

Answer:

90%

Step-by-step explanation:

1. We assume, that the number 5400 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 5400, so we can write it down as 100%=5400.

4. We know, that x% equals 6000 of the output value, so we can write it down as x%=6000.

5. Now we have two simple equations:

1) 100%=5400

2) x%=6000

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=5400/6000

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6000 is what percent of 5400

Answer:

Step-by-step explanation:

According to the solving the work done if the gorilla reaches that height:

= 8400 ft lb.

The work performed by a force is defined as the sum of the displacement and or the component of both the applied force of both the object in the displacement direction. Work is accomplished when we push a block with a certain amount of force, "F," which causes the body to move more quickly. W = F stands for "work done."

Anytime a force transports something over a distance, work is performed. By multiplying the force by both the distance moved inside this direction of the force, you may determine the amount of energy transferred or work accomplished.

The effort put in by a 350-pound gorilla climbing a 24 foot staircase can be computed as:

(a) t = 10 sec

WF = (350 lb) (24 ft)

= 8400 ft lb (answer)

(b) t = 5 sec

WF = (350 lb) (24 ft)

= 8400 ft lb

work done does not depends on time.

According to the solving the work done if the gorilla reaches that height:

= 8400 ft lb.

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Answer:4.5 cups of sugar

Step-by-step explanation:

Okay so 24 cookies is 2 dozen

1 cup of sugar would be used for every 8 cookies

3 dozen is equal to 36 cookies

36/8=4.5 so you would need 4.5 cups of sugar

Step-by-step explanation:

the median is 4

the mean is 1+2+4+6+4+4/6

21/6=7\2

6.5 the mode is 4