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FromTheMoon [43]
4 years ago
15

Jack's birthday is in 4 weeks. How many days is it until Jack's birthday? describe how you could use a number line to solve.

Mathematics
1 answer:
Alexeev081 [22]4 years ago
3 0
To determine how many days is it until Jack's birthday, we need a conversion factor to convert from weeks to days. We know, as a fact, that in one week there will be 7 days. So, we use this value. We do as follows:
4 weeks ( 7 days / 1 week ) = 28 days until Jack's day
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mash [69]

Let t be the time passed  in years and y be the value of baseball card.

You know that

  • when x=0, then y=2;
  • when x=5, then y=25;
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The equation in standard form is y=ax^2+bx+c. Substitute given data into the equation:

a\cdot 0^2+b\cdot 0+c=2,\\\\a\cdot 5^2+b\cdot 5+c=25,\\\\a\cdot 10^2+b\cdot 10+c=8.

Solve the system of equations:

\left\{\begin{array}{l}c=2\\25a+5b+c=25\\100a+10b+c=8\end{array}\right.\Rightarrow \left\{\begin{array}{l}c=2\\25a+5b=23\\100a+10b=6\end{array}\right.\Rightarrow

\left\{\begin{array}{l}c=2\\a=-0.76\approx -0.8\\b=8.4\end{array}\right.

Then the parabola equation is

y=-0.8x^2+8.4x+2.

7 0
3 years ago
Read 2 more answers
Help! Please answer this! Giving all my points away! NO LINKS! Thank you!
Zanzabum

Answer:

13

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8 0
3 years ago
O<br> f(x) = 4x −2+ 7x<br> 1) f(8) =<br> 2) f(-5) = <br> 3) f(0) =
erastova [34]
F(8)=4(8)-2+7(8)
f(8)=32-2+56
f(8)=86

f(-5)=4(-5)-2+7(-5)
f(-5)=-20-2+2
f(-5)=20

f(0)=4(0)-2+7(0)
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5 0
3 years ago
Find VT. <br> Find RS. <br><br> (U is on the perpendicular bisector of Segment RT.) <br> Find UT.
jeyben [28]

Applying the Pythagorean Theorem and the definition of Perpendicular Bisector, the missing measures are:

  • VT = 8
  • RS = 17

<h3>What is a Perpendicular Bisector of a Segment?</h3>
  • A perpendicular bisector is a segment is a segment that divides a segment into two equal halves.
  • Perpendicular bisector forms right angles at the point of intersection of the segment it bisects.

Thus:

VT = RV = 8

VT = 8

Applying Pythagorean Theorem:

VS = √(ST² - VT²)

Substitute

VS = √(17² - 8²)

VS = 15

Find RS using the Pythagorean Theorem:

RS = √(VS² + VR²)

Substitute

RS = √(15² + 8²)

RS = 17

Therefore, applying the Pythagorean Theorem and the definition of Perpendicular Bisector, the missing measures are:

VT = 8

RS = 17

Learn more about perpendicular bisector here:

brainly.com/question/11006922

7 0
2 years ago
75% of students in a statistics class said that they liked statistics more than algebra. if 3 of these students are randomly sel
krek1111 [17]
I percieve this as a trick question. The probability is 100% because if the 3 randomly selected students pertain to the group of students who like statistics better than algebra, then obviously, they are all going to say they like stats better than algerbra.
4 0
3 years ago
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