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Dafna1 [17]
2 years ago
12

Which of the following is a sign you may be drowsy behind the wheel?

Mathematics
1 answer:
Sladkaya [172]2 years ago
7 0

Answer:

B

Step-by-step explanation:

behind the wheel a sign you may be drowsy is happiness.

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The binomial 5x – 4 is a factor of 10x2 – 23x + 12. What is the other factor?
SVETLANKA909090 [29]
Method\ 1^o\\10x^2-23x+12=(5x-4)(ax+b)\\\\10x^2-23x+12=5ax^2+5bx-4ax-4b\\\\10x^2-23x+12=5ax^2+(5b-4a)x-4b\\\\therefore\\\\  \begin{array}{ccc}(1)\\(2)\\(3)\end{array}\left\{\begin{array}{ccc}5a=10\\5b-4a=-23\\-4b=12\end{array}\right\\\\(1)\ divide\ both\ sides\ by\ 5\to a=2\\(3)\ divide\ both\ sides\ by\ (-4)\to b=-3\\check\\subtitute\ the\ values\ of\ "a"\ and\ "b"\ to\ (2):\\5\cdot(-3)-4\cdot2=-15-8=-23\ /correct/\\\\Answer:\boxed{2x-3}


Method\ 2^o\\10x^2-23x+12=10x^2-8x-15x+12\\=2x\cdot5x-2x\cdot4-3\cdot5x-3\cdot(-4)\\=2x(5x-4)-3(5x-4)=(5x-4)\boxed{(2x-3)}
6 0
2 years ago
The straight line ℓ is perpendicular to the line y + 2x = 9 and passes through the point p(4, 3). find the x-intercept of ℓ.
evablogger [386]
The slope of the line l is the opposite reciprocal of y+2x=9. Rearranged the equation to y=9-2x and we get a slope of -2. The opposite reciprocal of -2 is 1/2.

y-y=m(x-x)
y-3=.5(x-4)
y=.5x+1

At the x-intercept, y=0, so
0=.5x+1
-1=.5x
x=-2
8 0
3 years ago
The function h(x)=x^2+3 and g(x)=x^2-6 if g(x)=h(x)+k what is the value of k
riadik2000 [5.3K]

Answer:

hello : k = - 9

Step-by-step explanation:

h(x) =x²+3      and   g(x) = x² - 6.....(*)

g(x) = x² +3 + k.....(**)

by (*) and (**) : 3+k = -6

3+k - 3 = - 6 - 3

k = - 9

8 0
3 years ago
Mr smiths loan balance has decreased by 71.4%. Calculate the change in his loan balance
nikklg [1K]
Can you write the full question
4 0
3 years ago
Describe how you could draw a diagram for a problem about finding the total length for two strings, 15 inches long and 7 inches
Varvara68 [4.7K]
Two strings are 15 inches and 7 inches long.

You could draw a diagram that has two rulers (that are longer than 12 inches).

Draw a piece of string that is exactly 15 inches on one ruler.
Draw another piece of string on the other ruler at exactly 7 inches.

Then you can find the total length of the two strings by adding 15 and 7 inches.
15 + 7 = 22

The total length of both the strings is 22 inches. You can draw a ruler and a piece of string on it at 22 inches.
5 0
3 years ago
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