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Svetach [21]
3 years ago
14

Write an expression for " 9 less than three times a number"

Mathematics
1 answer:
hoa [83]3 years ago
8 0

Answer: 3x - 9

Step-by-step explanation: "9 less than three times a number" does not mean 9 minus three times a number, less than actually switches the order around so that 9 less than three times a number actually means three times a number minus 1 which can be read as 3x - 9.

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Which graph correctly represents (5/2)x - y < 3?
Setler79 [48]

You can rewrite the inequality as

y > \cfrac{5}{2}\ x - 3

Note that

y = f(x) = \cfrac{5}{2}\ x - 3

is the equation of the line drawn in the pictures. This means that, for every point on the line, the y coordinate is exactly image of the x coordinate, i.e. f(x)

The inequality is satisfied by all points whose y coordinate exceeds the image of the x coordinate. Since the y axis is positively oriented upwards, a greater value for the y coordinate means that the point has to be higher than the line.

Also, since the equality inlves a > and not a \geq sign, the line itself is excluded.

So, the correct graph is the second one.

3 0
3 years ago
Read 2 more answers
Solve the following equation x(x + 19) = -34
xxMikexx [17]
Hi there,

x(x + 19) = -34

I'm going to solve your equation step-by-step.<span><span>x<span>(<span>x + 19</span>) </span></span>= <span>−34

</span></span>Step 1: Simplify both sides of the equation.<span><span><span>x2 </span>+ <span>19x </span></span>= <span>−34

</span></span>Step 2: Subtract -34 from both sides.<span><span><span><span>x2 </span>+ <span>19x </span></span>− <span>(<span>−34</span>) </span></span>= <span><span>−34 </span>− <span>(<span>−34</span>)

</span></span></span><span><span><span><span>x2 </span>+ <span>19x </span></span>+ 34 </span>= 0

</span>Step 3: Factor left side of equation.<span><span><span>(<span>x + 2</span>) </span><span>(<span>x + 17</span>) </span></span>= 0

</span>Step 4: Set factors equal to 0.<span><span><span>x + 2 </span>= <span><span><span>0<span> or </span></span>x </span>+ 17 </span></span>= 0

</span><span><span>x = <span>−<span><span>2<span> or </span></span>x </span></span></span>= <span>−17

</span></span>Answer:<span><span>x = <span>−<span><span>2<span> or </span></span>x </span></span></span>= <span>−<span>17

Hope this helps! :)</span></span></span>
5 0
3 years ago
Read 2 more answers
What is one true mathematical statement involving exponents I could make out of 5, 25, and 2?
pentagon [3]

Answer:

5^2 x 2^0 = 25 or 5^2 = 25

Step-by-step explanation:

5^2 = 25

2^0 = 1 (Anything raised to the zero power equals one no matter what the number is)

25 x 1 = 25

8 0
3 years ago
Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $23 monthly fee
algol [13]

Answer:

460 minutes, or 7 hours and 20 minutes.

Step-by-step explanation:

Your formula is 0.14x+23=0.19x

X represents your minutes.

0.14*460+23=87.4

0.19*460=87.4

6 0
3 years ago
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8 0
3 years ago
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