Answer:
The factorized expression is (-5) × (t - 2.747) ×(t - 1.747)
Step-by-step explanation:
The given expression is -5·t² + 5·t + 24
To factorize the expression by completing the square method, we equate the expression to zero to get;
-5·t² + 5·t + 24 = 0
WE divide by -5 to get;
t² - t - 24/5 = 0
t² - t = 24/5
t² - t + 1/4 = 24/5 + 1/4
(t - 1/2)² = 5.05
t - 1/2 = ±√5.05
t = 1/2 + √5.05, 1/2 - √5.05
The factorized expression becomes;
(t - 1/2 + √5.05) and (t - 1/2 - √5.05)
Which gives;
(t - 2.747) ×(t - 1.747)
The factorized expression is (-5) × (t - 2.747) ×(t - 1.747).
123.4651163 or rounded to 123.47
The diagram of the lawn and the shed is shown below.
The area of the lawn needed to be mowed equals to the area of the yard minus the area of the shed
The area of the yard =
The area of the shed =
The area of the lawn =
The area of the lawn =
The area of the lawn =
If we use $6.60 then 44 massages will go to be sent.
<h3>What are the ratio and proportion?</h3>
The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
For example 3/8 here 3 is the numerator and 8 is the denominator the value of the fraction will be less than 1 or greater than it depends upon the numerator and denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
Given that,
$9.75 ⇔ 65 text massages
Divide by 9.75
$1 ⇔ 6.67 massages,
Multiply by 6.60
$6.60 ⇔ 44 text messages.
Hence "If we use $6.60 then 44 massages will go to be sent".
For more information about ratio and proportion,
brainly.com/question/26974513
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B 8:00 am
8:00+1:25=9:25
9:25+25=9:50
9:50+30=10:20
B $240
60×2=120×2=240
