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3 years ago

A car travelled a distance of 50km in an hour. What distance did it travel in 30minutes?

Mathematics

1 answer:

solniwko [45]3 years ago

6 0

The answer is 70 miles per hour

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Need help finding equation

Elden [556K]

Answer:

Step-by-step explanation:

Based on the two graphs I see at the bottom of the photo, you're looking at a quadratic function. The answer you put in is a linear equation.

Quadratic functions follow the form $ax^2+bx+c$ , where a, b, and c can be either positive or negative constants.

The table says that the equation, when graphed, should start at the top, slide to the bottom, and then slide back up to the top. So a must be positive.

c has to be -8 since it's the y-intercept.

So far, our equation is $ax^2+bx-8$ . We'll need to plug in some points in order to work out what $a$ and $b$ are.

Let's use $(-2,5)$ as the first set of points, and $(4,14)$ as the second set.

$5=a(-2)^2+b(-2)-8\\14=a(4)^2+b(4)-8\\$

Now we have 2 equations with 2 unknowns. Solve for one variable:

$5=4a-2b-8\\13+2b=4a\\\frac{13+2b}{4}=a$

Now substitute that into the second equation:

$14=(\frac{13+2b}{4})(4^2)+4b-8\\14+8=(13+2b)(4)+4b\\22-52=8b+4b\\-30=12b\\-\frac{30}{12}=-\frac{10}{4}=-\frac{5}{2}=b$

Now substitute the result into the first equation.

$\frac{13+2(-\frac{5}{2})}{4}=a\\\\\frac{13-5}{4}=a\\\\\frac{8}{4}=a\\\\ 2=a$

Now substitute our values back into the original equation:

$y(x)=2x^2-\frac{5}{2}x-8$

Please let me know if this is correct.

8 0

2 years ago

Factor (z-5)(z+4)=52

Ipatiy [6.2K]

Good Afternoon! Here is your answer step by step!

Let's solve your equation step-by-step.

(z−5)(z+4)=52

Step 1: Simplify both sides of the equation.

z2−z−20=52

Step 2: Subtract 52 from both sides.

z2−z−20−52=52−52

z2−z−72=0

Step 3: Factor left side of equation.

(z+8)(z−9)=0

Step 4: Set factors equal to 0.

z+8=0 or z−9=0

z=−8 or z=9

Answer:

z=−8 or z=9

Have a blessed day! ❤

4 0

2 years ago

Which of the following is equal to 5 1/3

Andrews [41]

Answer:

Step-by-step explanation:

Using the rule of radicals/ exponents

$a^{\frac{m}{n} }$ ⇔ $\sqrt[n]{a^{m} }$

Given

$5^{\frac{1}{3} }$ = $\sqrt[3]{5}$ → C

7 0

2 years ago

What are two partial products you would add to find 21 x 509?

Mama L [17]

45 and 63.9 I believe

3 0

2 years ago

Can someone please help me

Svetllana [295]

Step-by-step explanation:

I think its 2/6 becuase its bigger

3 0

2 years ago

Read 2 more answers