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4 years ago

Select from the drop-down menu to correctly identify the property shown.

Mathematics

2 answers:

Alekssandra [29.7K]4 years ago

8 0

I’m guessing it’s the associate property

Wittaler [7]4 years ago

4 0

I believe this would be the addition property of equality.

Hope this helps!

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Select the two values of x that are roots of this equation.<br> 2x2 + 11x+15= 0

USPshnik [31]

Answer:

The two values of x are -2.5 and -3

Step-by-step explanation:

we have

$2x^{2}+11x+15=0$

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$a=2\\b=11\\c=15$

substitute in the formula

$x=\frac{-11(+/-)\sqrt{11^{2}-4(2)(15)}} {2(2)}$

$x=\frac{-11(+/-)\sqrt{1}} {4}$

$x=\frac{-11(+/-)1} {4}$

$x_1=\frac{-11(+)1} {4}=-2.5$

$x_2=\frac{-11(-)1} {4}=-3$

therefore

The two values of x are -2.5 and -3

6 0

3 years ago

Read 2 more answers

Julio is training for a swimming race. The first part of his training schedule is shown. Session 1 2 3 456 Swimming distance (mi

Volgvan

An arithmetic sequence is a sequence in which the difference between each consecutive term remains same (constant).

The explicit formula for an arithmetic sequence is $A_n=a+(n-1)d$ , where a is first term of sequence, d is the common difference between consecutive terms.

A) We can see from Julio's swimming distance that it is in arithmetic sequence as after every successive training session Julio's swimming distance increased by 0.30 miles.

$0.55-0.25=0.30$

$0.85-0.55=0.30$

$1.75-1.45=0.30$

Therefore, we can see that Julio's training schedule is an arithmetic sequence.

B) Let us find Julio will take how many days to swim 2.95 miles by using explicit formula.

$A_n=a+(n-1)d$

Let us substitute our given information in above formula.

$2.95=0.25+(n-1)0.30$

$2.95=+0.25+0.30n-0.30$

$2.95=0.30n-0.05$

$2.95+0.05=0.30n$

$3.00=0.30n$

$n=\frac{3.00}{0.30}=10$

We are told that Julio swims every two days, this implies that he would swim on alternate days. So he will swim 2.95 miles on 10*2 =20th day.

Let us find 20th day will be which day. As Julio started his training schedule on Tuesday, 20th day will be a Sunday. Therefore, Julio will swim for 2.95 miles on a Sunday.

6 0

3 years ago

Mrs mastrioni bought a set of 80 stamps she wanted to give all the stamps to her students as a reward she could give equal numbe

Scilla [17]

C 2,4,5 or 8 because 80 is divisible by all of these numbers

8 0

3 years ago

By first calculating the size of angle LMN,

Naily [24]

Step-by-step explanation:

Hope it helps.... that is how I did it