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3 years ago

Click on all that are true about the graph of y > x^2 + 4x + 4.

Mathematics

2 answers:

Kryger [21]3 years ago

7 0

Answer:

The correct options are:

a) The parabola opens up.

c) The vertex is at (-2,0).

d) The parabola is dashed.

Step-by-step explanation:

We are given an algebraic inequality as:

y > x^2 + 4x + 4:

This implies that:

y> (x+2)^2

The options that holds true regarding this inequality is:

The parabola opens up.

Since the coefficient of the leading term is positive.

The vertex is at (-2,0).

The parabola is dashed.

Since the inequality is a strict inequality.

( The line of symmetry of parabola is x=-2.

Also the parabola is shaded inside )

vladimir1956 [14]3 years ago

5 0

the answer is a,b,d

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Which term is the constant in the following equation 17x+5=-3x? *

evablogger [386]

Answer:

5 is the constant. A constant is a number that does not change throughout the equation.

Step-by-step explanation:

Step 1:

17x + 5 = - 3x Equation

Step 2:

17x = - 3x - 5 Subtract 5 on both sides

Step 3:

20x = - 5 Add 3x on both sides

Step 4:

- 5 ÷ 20 Divide

Answer: ( To Equation )

- 1/4

Hope This Helps :)

6 0

4 years ago

30 POINTS! Please answer and show work for both!

monitta

The recommended approach for such equations is to eliminate fractions first, by multiplying by the LCM of the denominators. You can simply simplify, then work them as a 2-step linear equation, doing your arithmetic with the fractions as they are.

a) (5x-1)/7 + (4x-3)/2 -(3-2x)/2 = 6 . . . . . given

... 2(5x -1) +7(4x -3) -7(3 -2x) = 84 . . . . . multiply by 14

... 10x -2 +28x -21 -21 +14x = 84 . . . . . . eliminate parentheses

... 52x -44 = 84 . . . . . . . . . . . . . . . . . . . . collect terms

... 52x = 128 . . . . . . . . . . . . . . . . . . . . . . . add 44

... x = 32/13 . . . . . . . . . . . . . . . . . . . . . . . . divide by 52 and simplify

b) (4x−3)/2 − (5−2x)/3 − (3x−4)/3 = 5 . . . given

... 2x -3/2 -5/3 +(2/3)x -x +4/3 = 5 . . . . . . .eliminate parentheses

... (5/3)x -11/6 = 5 . . . . . . . . . . . . . . . . . . . . simplify

... (5/3)x = 41/6 . . . . . . . . . . . . . . . . . . . . . . add 11/6

... x = (41/6)/(5/3) = 41/10 . . . . . . . . . . . . . .divide by the coefficient of x

_____

Using the first method, you're dealing with integers and you can do a lot of the math in your head. Using the second method, you're dealing with fractions and mixed numbers. A calculator can be helpful, especially if it handles arithmetic with fractions nicely, as many graphing calculators do.

6 0

4 years ago

homer has 24 more marbles than lisa. lisa has 105 more than bart. if the three of them have 324 marbles in total, how many marbl

blagie [28]

Homer has 105+24=129
lisa has 105
bart has 129+105=234
324-234=90

homer has 129
lisa has 105
bart has 90

8 0

3 years ago

Help!!! Thank you soooo much!!!!

sveta [45]

Answer:

$Y$ should look like this on a graph.