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2 years ago

(За + 2b – 7) - (4) — 10)

Mathematics

1 answer:

Sedaia [141]2 years ago

4 0

Answer:=3a+2b−21

Step-by-step explanation:

Let's simplify step-by-step.

3a+2b−7−4−10

=3a+2b+−7+−4+−10

Combine Like Terms:

=3a+2b+−7+−4+−10

=(3a)+(2b)+(−7+−4+−10)

=3a+2b+−21

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A study analyzed the average yearly salt intake in the United States from 2012 thru 2017. The data is summarized in the table:

Ugo [173]

Answer:Is an estimate of the average grams of salt used in 2012

Step-by-step explanation: Let

x ---> the number of years since 2012

f(x) ---> is the total amount of salt ingested in grams

we have

This is a linear equation in slope intercept form

where

The slope is equal to

The y-intercept or initial value is equal to

The y-intercept is the value of the function f(x) when the value of x is equal to zero

In this context, the y-intercept is the average amount of grams of salt ingested in the year 2012

The exact value of the average amount of grams of salt ingested in the year 2012 is 3,554 grams (see the data in the table)

Compare the exact value with the y-intercept

therefore

3,548 grams Is an estimate of the average grams of salt used in 2012

7 0

2 years ago

Use the table to identify the values of p and q that should be used to factor x^2+9x-10 as (x+p)(x+q)

likoan [24]

X^2 + 9x -10 = (x -1)(x +10) = (x +(-1)) (x + 10)
p = -1 and q = 10
answer is A.

5 0

2 years ago

Read 2 more answers

Experimentally verify sum of three angles of an triangle is 180⁰.

svetlana [45]

Draw line a through points A and B. Draw line b through point C and parallel to line a.

Since lines a and b are parallel, <)BAC = <)B'CA and <)ABC = <)BCA'.

It is obvious that <)B'CA + <)ACB + <)BCA' = 180 degrees.

Thus <)ABC + <)BCA + <)CAB = 180 degrees.

Lemma

If ABCD is a quadrilateral and <)CAB = <)DCA then AB and DC are parallel.

Proof

Assume to the contrary that AB and DC are not parallel.

Draw a line trough A and B and draw a line trough D and C.

These lines are not parallel so they cross at one point. Call this point E.

Notice that <)AEC is greater than 0.

Since <)CAB = <)DCA, <)CAE + <)ACE = 180 degrees.

Hence <)AEC + <)CAE + <)ACE is greater than 180 degrees.

Contradiction. This completes the proof.

Definition

Two Triangles ABC and A'B'C' are congruent if and only if

|AB| = |A'B'|, |AC| = |A'C'|, |BC| = |B'C'| and,

<)ABC = <)A'B'C', <)BCA = <)B'C'A', <)CAB = <)C'A'B'.

4 0

2 years ago

4(a + 2) = 14 – 2(3 – 2a) –2 –1 no solution all real numbers

Ray Of Light [21]

All real numbers.

$\boxed{TRUE}$

Step-by-step explanation:

Distributive property: a(b+c)=ab+ac

Expand: 4(a+2)=4a+8

Expand again: 14-2(3-2a)=4a+8

4a+8=4a+8

You subtract by 8 from both sides of an equation.

4a+8-8=4a+8-8

Simplify.

4a=4a

Then, subtract by 4a from both sides of an equation.

4a-4a=4a-4a

Finally, simplify.

4a-4a=0

0=0

True

All real numbers is the final answer.

Hope this helps you!

Have a nice day! :)

4 0

2 years ago

Find the distance between (3,7) and (6,5)

zubka84 [21]

Answer:

square root of five but if it needs to be simplified then 2.24 (rounded)

Step-by-step

8 0

2 years ago