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4 years ago

The solutions to a certain quadratic equation are x = 4 and x = -3. Write the equation in standard form below.

Mathematics

1 answer:

Kamila [148]4 years ago

4 0

Answer:

x2 - x - 12 = 0

Step-by-step explanation:

(x - 4) (x + 3) = 0

x(x + 3) -4(x + 3) = 0

x2 + 3x -4x - 12 = 0

x2 -x -12 = 0

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Estimate. Them multiply. Use your estimate to check your answer. For 18×8

frez [133]

Answer:

120

Step-by-step explanation:

18x8 is 124 but if you estimate then it is 120 bc 4 or less let it rest 5 or more add one more.

7 0

3 years ago

A truck is said to get 18 miles per gallon on a highway, but this value can fluctuate,

Ratling [72]

Answer: 14 miles ≤ D ≤ 22 miles.

Step-by-step explanation:

The mean distance traveled per gallon, is 18 miles.

But this can fluctuate, at most, by 4 miles.

Because we have here the "at most", we know that we should use the ≤, ≥ symbols.

Then, if the mean is 18mi, the range of possible distances traveled per gallon is:

(18 miles - 4 miles) ≤ D ≤ (18 miles + 4 miles)

Where D is the distance.

14 miles ≤ D ≤ 22 miles.

So the truck can get between 14 miles and 22 miles per gallon on the highway.

4 0

3 years ago

Vicki started jogging the first time she ran she ran 3/16 mile the second time she ran 3/8 mile and the third time she ran 9/16

IrinaK [193]

Answer:

Jogging 6th time.

Step-by-step explanation:

We have been given that Vicki started jogging the first time she ran she ran 3/16 mile the second time she ran 3/8 mile and the third time she ran 9/16 mile.

We can see that the distance Vicki covers each time forms a arithmetic sequence, where 1st term is 3/16.

We know that an arithmetic sequence is in form $a_n=a_1+(n-1)d$ , where,

$a_n$ = nth term of sequence,

$a_1$ = 1st term of sequence,

n = Number of terms in sequence,

d = Common difference.

Let us find common difference of our given sequence as:

$\frac{3}{8}-\frac{3}{16}\Rightarrow \frac{6}{16}-\frac{3}{16}=\frac{3}{16}$

Since Vicki needs to cover more than 1 mile, so we nth term of sequence should be greater than 1.

$1$

Let us solve for n.

$1$

$1\cdot \frac{16}{3}$

$5.333$

$n>5.333$

We can also write next terms of our sequence as:

$\frac{3}{16},\frac{6}{16}, \frac{9}{16},\frac{12}{16},\frac{15}{16},\frac{18}{16}$

Therefore, Vicki will run more than 1 mile when she is jogging for 6th time.

7 0

3 years ago

Gloria earned $26 for babysitting for 4 hours. Write and Solve an equation to determine how much Gloria would earn after babysit

posledela

Answer:

Equation: ($26÷4 hours) × 25 hours

Answer: $156.25

Step-by-step explanation:

First, you would have to find out how much she earns per hour, so $26÷4. Then you multiply that by 25.

(26÷4) x 25=$156.25.

(hope this helps :P)

3 0

3 years ago

Two coins are tossed at the same time. What is the probability that they will both land tails up?

strojnjashka [21]

I believe the answer is 1/4

5 0

4 years ago

Read 2 more answers