Find the zeros of the function f(x)=2x^2-7x-30

Answers

Answer 1

Answer: $2x^2-7x-30=0 \n \na=2 \n b=-7 \n c=-30 \nb^2-4ac=(-7)^2-4 * 2 * (-30)=49+240=289 \n \nx=(-b \pm √(b^2-4ac))/(2a)=(-(-7) \pm √(289))/(2 * 2)=(7 \pm 17)/(4) \nx=(7-17)/(4) \ \lor \ x=(7+17)/(4) \nx=(-10)/(4) \ \lor \ x=(24)/(4) \nx=-(5)/(2) \ \lor \ x=6 \n\boxed{x=-2.5 \hbox{ or } x=6}$

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Mrs. Solar modeled Contractor 2’s fees with the formula y = 150 + 55x. Mrs. Solar compared Contractor 2’s fee to Contractor 1’s fee.

(a) What does the difference between 50 and 55 mean in the real-world context?
(b) What does the difference between 200 and 150 mean in the real-world context?

Answers

I'm guessing that you forgot to put contractor 1's fees
judging from the question, I would assume that his fees are y=200+50x
I will assume that y=fee and x=number of hours (or units of time)

so
a. difference between 55 and 50, that is 5 so #2's fee is 5$ more for every hour he works
b. difference between200 and 150 means that contractor 1 gets 50 more initally than contractor 2

−8x+3≥27 AND−13x+5≥57

Answers

Answer:

$x \leq -4$

Step-by-step explanation:

$-8x+3\geq 27 and -13x+5\geq 57$

LEts solve each inequality separately. then we find the intersection of both solutions.

$-8x+3\geq 27$

Subtract 3 on both sides

$-8x\geq 24$

Divide both sides by $-8$ , change the inequality symbol when we divide by negative number

$x \leq -3$

Now solve the other inequality

$-13x+5\geq 57$

Subtract 5 on both sides

$-13x\geq 52$

Now divide both sides by $-13$

$x \leq -4$

Now we take the intersection of $x \leq -3$ and $x \leq -4$

for $x \leq -3$ , we shade the number line to the left

$x \leq -4$ , shade the number line to the left

Intersection of both graph is $x \leq -4$

Answer:

Step-by-step explanation:

Determine if the ordered pair (−1, −5) is a solution to the inequality y is less than or equal to negative three fourths times x minus 1. No, because (−1, −5) is above the line Yes, because (−1, −5) is below the line No, because (−1, −5) is on the line Yes, because (−1, −5) is on the line

Answers

Answer:

Yes, because (−1, −5) is below the line.

Step-by-step explanation:

The given inequality is $y \leq -(3)/(4) x - 1$ .......... (1)

Now, rearranging this equality relation we get,

4y = - 3x - 4

⇒ 3x + 4y = - 4

⇒ $(x)/(- (4)/(3) ) + (y)/(- 1) = 1$ .......... (2)

This equation is in intercept form and the line represented by this equation passes through the x-intercept $(- (4)/(3), 0)$ and y-intercept (0,-1).

Now, it is clear that (0,0) point is above the equation.

But (0,0) point does not satisfy the inequality equation (1).

Hence, the solution of the inequality equation (1) is below and including line (2).

Now, point (-1,-5) is below the line (2) and hence, it is a solution of the inequality (1) as it is below the line. (Answer)

Answer:

the answer is [yes, because (-1, -5) is below the solid line].

Step-by-step explanation:

I took the test and got it right

Please help me!Bobby bought 4 chicken sandwiches and 6 bowls of vegetable soup for $33. Sally bought 1 chicken sandwich and 2 bowls of vegetable soup for $9.50. Which systems of linear equations could be used to find the cost of a chicken sandwich, c, and the cost of a bowl of vegetable soup, b?

Answers

Answer:

I'm pretty sure the answer is c. 6c + 4b = 9.50

if wrong pls tell me

give this a like

Step-by-step explanation:

pls mark me brainiest

Y is the midpoint of AB, The coordinates are A(-3,-7) and B(-1,1) What is the coordinate Y?

Answers

The formla of a midpoint of AB:

$M\left((x_A+x_B)/(2),\ (y_A+y_B)/(2)\right)$

We have A(-3, -7) and B(-1, 1). Substitute:

$x_M=(-3+(-1))/(2)=(-4)/(2)=-2\n\ny_M=(-7+1)/(2)=(-6)/(2)=-3$

Answer: M(-2, -3)

What is the area of a right triangle with a leg length of 15 feet and hypotenuse length of 39 feet

Answers

The formula of the area of a triangle is given by

A=(1/2)a*b

where a and b are the two shortest legs of the triangle, keeping in mind that the longest side of a triangle is the hypotenuse.

Since we are given with the length of a short leg and the hypotenuse, we can calculate for the length of the second short leg through the Pythagorean Theorem which is given as

c^2=a^2+b^2

Hence,

(39)^2=(15)^2+b^2
1521=225+b^2
1296=b^2
b=36 feet

The length of the other short leg is then 36 ft. Substituting this to the formula of the area we have

A=(1/2)(15)(36)
A=270 ft^2

The area of the specified right triangle is 270 square feet.

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Plz help. Thank you!