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pshichka [43]
3 years ago
9

4x-49=0" align="absmiddle" class="latex-formula">
Mathematics
2 answers:
Alex777 [14]3 years ago
8 0
15x^2+14x-49=0\\\\
Terms:\\
a=15\ \ \ \ b=14\ \ \ \ c=-49\\
Quadratic\ Formula:\\\\
x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\
x=\dfrac{-14\pm\sqrt{196+2,940}}{30}\\\\
x=\dfrac{-14\pm\sqrt{3,136}}{30}\\\\
x=\dfrac{-14\pm56}{30}

Roots:\\\\
x'=\dfrac{-14+56}{30}\\\\
x'=\dfrac{42}{30}\\\\
x'=\dfrac{21}{15}\\\\
\boxed{x'=\dfrac{7}{5}}\\\\\\\\
x''=\dfrac{-14-56}{30}\\\\
x''=\dfrac{-70}{30}\\\\
\boxed{x''=\dfrac{-7}{3}}
Paraphin [41]3 years ago
5 0
15x² + 14 - 49 = 0
x = <u>-(14) +/- √((14)² - 4(15)(-49))</u>
                         2(15)
x = <u>-14 +/- √(196 + 2940)</u>
                     30
x = <u>-14 +/- √(3136)</u>
                 30
x = <u>-14 +/- 56</u>
             30
x = <u>-14 + 56</u>      x = <u>-14 - 56</u>
           30                     30
x = <u>42</u>               x = <u>-70</u>
      30                      30
x = 1.4              x = 2.33...
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Factor the following polynomial completely.<br><br>y squared plus 5 zy plus 4 z squared<br><br>​
sweet [91]

Answer:

(y + z)(y + 4z)

Step-by-step explanation:

{y}^{2}  + 5zy + 4 {z}^{2}  \\  =  {y}^{2} + zy + 4zy + 4 {z}^{2}  \\  = y(y + z) + 4z(y  + z) \\  = (y + z)(y + 4z)

7 0
3 years ago
Find the Unit Rate in decimal representation. Round to the nearest hundredth, if
Mekhanik [1.2K]

Answer:

$4.1

Step-by-step explanation:

To find the Unit Rate, you have to find how much it cost of 1 lb. So, you have to divide 16 and 3.99

16/3.99

= 4.01002506

≈ $4.1

6 0
2 years ago
10.5 in the form a/b
Lorico [155]
10.5 in the form of a/b = 105/10 = 21/2
4 0
3 years ago
The ratio of dogs to cats in a shelter is 9:15.if the total number of cats and dogs is 96.how many dogs are there?
ch4aika [34]

There are 36 dogs in the shelter.

<h3>How to find the total number of dogs in the shelter?</h3>

The ratio of dogs to cats in the shelter is given as 9:15.

The total number of dogs and cats is given as 96.

Let the constant of proportionality be x.

The total number of dogs is 9x and the total number of cats is 15x.

This means that:

9x + 15x = 96

24x = 96

x = 4.

The total number of dogs in the shelter = 9 × 4

= 36

Therefore, we have found that there are 36 dogs in the shelter.

Learn more about ratios here: brainly.com/question/2914376

#SPJ4

6 0
2 years ago
Someone please help. It is easy
Juli2301 [7.4K]
Alright. So we have 2 eggs at 2.49 each. That is $4.98. We have .25 pounds cheese priced at $13.40 per pound. 13.40 x .25 = $3.35. Then we have juice at $5.49. If we add those up we get: 4.98+3.35+5.49=$13.82. Then we get $0.75 in change, so if we add $13.82 and 0.75 we get: $14.57

The answer is $14.57.
Brainliest???
5 0
3 years ago
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