Determine the direction in which the parabola opens, and the vertex. y =x2 + 6x + 14

Answers

Answer 1

Answer: A parabola can be written in the form $y = ax^(2) + bx + c$ . If x is squared then the parabola open vertically (either upwards or downwards) while if y is squared then the parabola opens horizontally to the left or right.
since in this equation x is squared the the parabola opens either upwards or downwards vertically.

If the coefficient a is positive, then that means that the parabola has a minimum value and opens upwards (smiley face) while if a is negative then that means the parabola has a maximum and opens downwards (sad face)
since in this equation a is positive then that means that not only does the parabola open on the vertical plane, but it also has a minimum and opens upwards (smiley face).

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Factorise 3a squared + 7a
After John worked at a job for 10 years, his salary doubled. If he started at $x, his salary after 10 years is $_____.
7. The XYZ Office Supplies Company sells calculators in bulk at wholesale prices, as well as individually at retail prices. Next year's sales depend on market conditions, but executives use probability to find estimates of sales for the coming year. The following tables are estimates for next year's sales. WHOLESALE SALES Number Sold Probability 2,000 0.1 5,000 0.3 10,000 0.4 20,000 0.2 Number Sold Probability RETAIL SALES 600 0.4 1,000 0.5 1,500 0.1 What profit does XYZ Office Supplies Company expect to make for the next year if the profit from each calculator sold is $20 at wholesale and $30 at retail?
Every square meter of solar paneling produces 0.2 kilowatts of electricity. Which of the following models this situation?
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.Amy is an installer for the telephone company. She earns $10 per hour. How much does she earn in 40 hours?

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Hi all you would do is 10*40 which is 400, so she would have earned 400 dollars in 40 hours

Erika has three pieces of ribbon each peace is 25 yards long she needs to cut pieces that are 22 inches long what is the greatest number of 22 inch pizza is that she can cut from the three pieces of ribbon

Answers

Answer:

120 pieces with a bit left over

Step-by-step explanation:

Recall that 1 yard = 36 inches. Thus, a 22-inch piece of ribbon has length

L = (22 inches) / (36 inches / yd) = 11/18 yd.

We must now find out how many 22-inch, or 11/18-yard, pieces can be cut from each 25-yd piece. Divide 25 yd by (11/18 yd/piece), obtaining:

25 yd 18 pieces

--------- * ----------------- = 40.91 pieces.

1 11 yd

Since we're interested in only whole pieces of length 11/18 yd, this produces 40 pieces with 0.91 piece left over.

Cutting up the three 25-yd pieces will then result in 3(40 pieces), or 120, pieces of length 11/18 yd.

What is the correct answer for 20 + 20 × 0 + 1 = ?

Answers

The correct answer for the expression 20 + 20 × 0 + 1 by applying the rule of PEMDAS is equal to 21.

To explain in detail, we follow the order of operations (also known as PEMDAS ) to solve this expression step by step:

Parentheses Exponents Multiplication and Division (from left to right)

Addition and Subtraction (from left to right)

Let's solve the expression step by step:

20 + 20 × 0 + 1

20 + (20 × 0) + 1 [There are no parentheses or brackets]

20 + (0) + 1 [Perform the multiplication first (20 × 0 = 0)]

20 + 0 + 1 [Perform the addition (20 + 0 = 20)]

20 + 1 [Perform the addition (20 + 1 = 21)]

Therefore , the value of the given expression is equal to 21.

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The rule is when you don't have parenthesis you need to multiply and divide first from left to right, so

20+ 20x0 +1= 20 + 0 + 1=21

each month for 6 months, Kelsey completes 5 paintings. How many more paintings does she need to complete before she has completed 38 paintings?

Answers

In one month she completed 5 paintings, so in 6 month she completed 6 * 5 = 30 paintings.

38 - 30 = 8 - that's how many paintings she's still about to complete.

If she can do 5 paintings in one month, she'll do 8 paintings in 1 3/5 months. If we assume that month has 30 days, she'll probalby need one month and 18 days to do it (because 3/5 from 30 is 18).

Final answer:

Kelsey has painted 30 paintings over 6 months. She needs to paint 8 more to reach her goal of 38 paintings.

Explanation:

The subject of this question is mathematics and it sounds like a grade-appropriate question for middle school. To figure out how many more paintings Kelsey needs to complete to reach 38, we can use multiplication and subtraction.

First, we multiply the number of paintings Kelsey completes each month (5) by the number of months (6). This gives us a total of 30 paintings.

Then, we subtract this number from the total number of paintings Kelsey wants to complete (38). The result is the number of additional paintings Kelsey needs to complete.

So, 38 - 30 = 8. Kelsey needs to complete 8 more paintings to reach her goal of 38 paintings.

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IMMEDIATE HELP NEEDED!!!! 50 POINTSQuadrilateral ABCD is inscribed in this circle.

What is the measure of angle C?

Enter your answer in the box.

°

Answers

Answer:

∠C = 62°

Step-by-step explanation:

GIVEN :-

Cyclic quadrilateral ABCD
∠A = (2x + 38)°
∠D = (x + 20)°
∠B = (3x)°

TO FIND :-

The measure of ∠C

FACTS TO KNOW BEFORE SOLVING :-

A cyclic quadrilateral is a quadrilateral inscribed in a circle.
In a cyclic quadrilateral , sum of the opposite interior angles is equal to 180°

PROCEDURE :-

As ABCD is a cyclic quadrilateral ,

∠B + ∠D = 180°

$=> 3x + x + 20 = 180$

$=> 4x = 180 - 20$

$=> x = (160)/(4) = 40$

Putting the values of x gives :-

∠A = (2×40 + 38)° = 118°

∠B = (3×40)° = 120°

∠D = (40 + 20)° = 60°

Also,

∠A + ∠C = 180°

⇒ ∠C = 180° - 118° = 62°

PLSSSSSSSSSS HELPPPPPP MEEEEEEEEEEE!!!!!!!!!! BIGGGGGGG PARTTTTTTTT OFFFF GRADEEEEE!!!!!!!!!!!!!!Two hikers are 22 miles apart and walking toward each other. they meet in 4 hours. find the rate of each hiker if one hiker walks 1.1 mph faster than the other.

Answers

Answer:

pls give brainliest (answer at bottom)

Step-by-step explanation:

Let's call the rate of the slower hiker "x" mph.

The faster hiker walks 1.1 mph faster than the slower hiker, so their rate is "x + 1.1" mph.

Now, we know that distance = rate × time. In this case, both hikers are walking towards each other, so we can add their distances to get the total distance of 22 miles:

Distance of the slower hiker + Distance of the faster hiker = Total distance

4x + 4(x + 1.1) = 22

Now, let's solve for x:

4x + 4x + 4.4 = 22

Combine like terms:

8x + 4.4 = 22

Subtract 4.4 from both sides:

8x = 22 - 4.4

8x = 17.6

Now, divide by 8 to find the rate of the slower hiker:

x = 17.6 / 8

x = 2.2 mph