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3 years ago

What are the x-intercepts of the graph below of the function below y=x^2+2x-15

Mathematics

2 answers:

hichkok12 [17]3 years ago

7 0

Answer:

Option A - (-5,0) and (3,0).

Step-by-step explanation:

Given : Function $y=x^2+2x-15$

To find : What are the x-intercepts of the function ?

Solution :

The x-intercept means when y became zero i.e. y=0,

$x^2+2x-15=0$

Solve the quadratic equation by middle term split,

$x^2+5x-3x-15=0$

$x(x+5)-3(x+5)=0$

$(x+5)(x-3)=0$

$x+5=0,x-3=0$

$x=-5,x=3$

The x-intercepts are (-5,0) and (3,0).

Therefore, Option A is correct.

KatRina [158]3 years ago

5 0

Answer is A............

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Please solve and explain the question below

solong [7]

Answer:

OPTION A

Step-by-step explanation:

To find the table substitute the points on the given function and compare the values.

The given function is: $y = x^2 + 2$ .

OPTION A:

(i) When x = -2

LHS = y = 6.

RHS = (-2)² + 2 = 4 + 2 = 6.

LHS = RHS

(ii) When x = -1

LHS = y = 3

RHS = (-1)² + 2 = 1 + 2 = 3.

LHS = RHS

(iii) When x = 0

LHS = y = 2

RHS = 0² + 2 = 2.

LHS = RHS

(iv) When x = 1

LHS = y = 3

RHS = (1)² + 2 = 1 + 2 = 3.

LHS = RHS

(v) When x = 2

LHS = y = 6

RHS = (2)² + 2 = 4 + 2 = 6

LHS = RHS

OPTION B:

(i) When x = -2

LHS = y = -2

RHS = (-2)² + 2 = 6

LHS $\neq$ RHS

OPTION B is eliminated.

OPTION C:

(i) When x = -2

Using the same reason as OPTION B this option is eliminated as well.

So, OPTION A is the correct answer.

5 0

3 years ago

2 1/3 + 3/7 divided by 2 1/3 x 1 3/7

oee [108]

Answer: $\frac{29}{35}$

Step-by-step explanation:

1. Make sure all your denominators are the same, you can do this by multiplying them all by 3 or 7, 2 and 1/3 would become 2 7/21, 3/7 would become 9/21, 2 and 1/3, would become 2 and 7/21, and so on and so forth, leaving us with

2 $\frac{7}{21}$ + $\frac{9}{21}$ / 2 $\frac{7}{21}$ * 1 $\frac{9}{21}$

2. Now, I would go and solve each side of the equation because we divide them, we can add 2 $\frac{7}{21}$ and $\frac{9}{21}$ together to get 2 $\frac{16}{21}$ , because 7 + 9 = 16

2 $\frac{16}{21}$ / 2 $\frac{7}{21}$ * 1 $\frac{9}{21}$

3. We can do the same thing to the other side, by multiplying the two of them. I'm going to convert both of them to just fractions, 2 $\frac{7}{21}$ becomes $\frac{49}{21}$ and 1 $\frac{9}{21}$ becomes $\frac{30}{21}$

$\frac{49}{21}$ * $\frac{30}{21}$

Now we can reduce them, and for our first fraction divide the top and bottom by 7, giving us $\frac{7}{3}$ and the second one by 3, which gives us $\frac{10}{7}$

$\frac{7}{3}$ * $\frac{10}{7}$ now we cross divide, where we replace the 7's with ones because they're right across from each other to get $\frac{1}{3}$ and $\frac{10}{1}$ , or just 10.

$\frac{1}{3}$ * 10 = $\frac{10}{3}$

4. So now we can do a similar thing with the first half of our equation and convert it into a fraction and not a mixed number.

$\frac{58}{21}$ / $\frac{10}{3}$

Now we multiply divide them, and the easiest way I learned how to do this was by keep the first fraction in its place, and flipping the denominator and numerator of the second, and multiplying them.

so $\frac{58}{21}$ * $\frac{3}{10}$ which if we multiply both sides, you get $\frac{174}{210}$

I'll save you some times and simplify it for you, the greatest common factor is 6 so we divide the top and bottom by 6 to get

$\frac{29}{35}$

4 0

2 years ago

According to the College Board website, the scores on the math part of the SAT (SAT-M) in a recent year had a mean of 507 and st

Leviafan [203]

Answer:

The actual SAT-M score marking the 98th percentile is 735.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 507, \sigma = 111$

Find the actual SAT-M score marking the 98th percentile

This is X when Z has a pvalue of 0.98. So it is X when Z = 2.054. So

$Z = \frac{X - \mu}{\sigma}$

$2.054 = \frac{X - 507}{111}$

$X - 507 = 2.054*111$

$X = 735$

8 0

3 years ago

Craig has a rectangle wooden deck that measures 799 inches by 245 inches that he wants to put a string of lights around. What le

tino4ka555 [31]

Answer:

He should buy lights that are 2088 inches long

Step-by-step explanation:

Craig has a rectangle wooden deck that measures 799 inches by 245 inches.

Let us say the length, L, is 799 inches and the breadth, B, is 245 inches.

He wants to put a string of lights around the deck.

This means that he needs to buy the length of lights that would be equal to the perimeter of the rectangular deck.

The perimeter of a rectangle is given as:

P = 2(L + B)

Hence, the length of lights he should buy is:

P = 2(799 + 245) = 2(1044)

P = 2088 inches

He should buy lights that are 2088 inches long.

5 0

3 years ago

(x-3)(x+6)<br>multiply and simplify your answer

enot [183]

Answer:

$x^{2}$ + 9x +18

Step-by-step explanation:

multiply the parentheses together (x × x)=x² and x×6=6x then do 3×x which will equal 3x and then multiply 3 and 6 which is 18

now combine like terms (x²+6x+3x+18)

6+3=9 so now you will have x²+9x+18

5 0

3 years ago