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alex41 [277]
3 years ago
14

URGENT HELP! URGENT I WILL GIVE ALL OF MY POINTS

Mathematics
2 answers:
rjkz [21]3 years ago
7 0

Answer:

|a| > |b|

Step-by-step explanation:

When you have absolute values you remove the negative from number.

So false true, false

anastassius [24]3 years ago
6 0

Answer:

false, true, false

Step-by-step explanation:

You might be interested in
Determine the type and number of solutions of −4x2 − 3x + 7 = 0.
Kaylis [27]

Answer:

Step-by-step explanation:

You have to use the discriminant for this. If the quadratic is -4x^2-3x+7, then

a = -4, b = -3, and c = 7. The formula for finding the discriminant is

D=b^2-4ac which comes from the quadratic formula, but without the square root sign. Filling in:

D=(-3)^2-4(-4)(7) which simplifies down to

D = 9 + 112 so

D = 121. This is a perfect square, so the solutions will be 2 real. Just so you know, you will NEVER have a solution like the one offered in the third choice down. If you have one imaginary root, you will ALWAYS have a second by the conjugate rule.

7 0
2 years ago
Your team wins 18 medals at a competition. The metals are gold, silver, and bronze in a ratio of 2:4:3. How many of each metal d
Anarel [89]

Answer

Find out the how many of each metal did your team win.

To prove

As given

Your team wins 18 medals at a competition.

The metals are gold, silver, and bronze in a ratio of 2:4:3.

Let us assume that x be the scalar multiple of the gold, silver and bronze medal.

Thus

Number of gold medal = 2x

Number of silver medal = 4x

Number of bronze medal = 3x

Than the equation becomes

2x + 4x + 3x = 18

9x = 18

x = \frac{18}{9}

x = 2

Number of gold medal = 2 × 2

                                      = 4

Number of silver medal = 4 × 2

                                       = 8

Number of bronze medal = 3 × 2

                                           = 6

Therefore the number of gold medal are 4, silver medal are 8, bronze medal are 6.

3 0
3 years ago
Determine the equation of g(x) that results from translating the function f(x)=x^2+9 upward 10 units.
Rus_ich [418]
The simple/ <span>common sense method:
</span>The typical lay out of a quadratic equation is ax^2+bx+c 
'c' represents where the line crosses the 'y' axis. 
The equation is only translated in the 'y' (upwards/downwards) direction, therefore only the 'c' component of the equation is going to change. 
A translation upwards of 10 units means that the line will cross the 'y' axis 10 places higher. 
9+10=19, 
therefore <u>c=19</u>. 
The new equation is: <u>y=x^2+19 </u>
<span>
<span>The most complicated/thorough method: 
</span></span>This is useful for when the graph is translated both along the 'y' axis and 'x' axis.
ax^2+bx+c 
a=1, b=0, c=9
Find the vertex (the highest of lowest point) of f(x). 
Use the -b/2a formula to find the 'x' coordinate of your vertex.. 
x= -0/2*1, your x coordinate is therefore 0. 
substitute your x coordinate into your equation to find your y coordinate.. 
y= 0^2+0+9
y=9. 
Your coordinates of your vertex f(x) are therefore <u>(0,9) </u>
The translation of upward 10 units means that the y coordinate of the vertex will increase by 10. The coordinates of the vertex g(x)  are therefore: 
<u>(0, 19) </u>
substitute your vertex's y coordinate into f(x) 
19=x^2+c
19=0+c
c=19
therefore <u>g(x)=x^2+19</u>

7 0
3 years ago
Read 2 more answers
Divide x^3-3x^2-10x+24 by x-1
lesya [120]

Answer:

x^2 - 2x - 12 with remainder 12

Step-by-step explanation:

Synthetic division is the fastest way in which to carry out this division.

The divisor (x - 1) from long division corresponds to the divisor 1 in synthetic division.  Setting up synthetic division, we get:

1     /      1     -3     -10     24

                     1      -2     -12

      --------------------------------

             1      -2     -12      12

The first three digits {1, -2, -12} are the coefficients of the quotient, and 12 represents the remainder:

The quotient is 1x^2 - 2x - 12 and the remainder is 12.

6 0
3 years ago
Jessie paid $43.75 for 5 movie tickets. Each ticket cost the same amount. What was the cost of each movie ticket in dollars and
N76 [4]
If I’m not wrong each ticket was 8.75
Because 43.75 divided by 5= 8.75:)
5 0
3 years ago
Read 2 more answers
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