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3 years ago

Algebra , please help

Mathematics

1 answer:

madam [21]3 years ago

7 0

Answer:

$4x+1$

Step-by-step explanation:

This is easy to understand if explained step-by-step. 4 is a constant (its value never changes), so we can leave it in the expression to maintain its value. So far it's the only term in the expression. "A number" could represent any value. This means we can represent it as x, and this allows it to take the value of any constant without changing the value of the expression. So the product of <em>4 and a number </em>would be 4x (4 multiplied by x). Increased by 1 is simple, it is just adding 1 to the expression.

The final answer would look like $4x+1$ .

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Write the equation of the linear function for which f(0)=3 and f^-1(0)=-2

Semmy [17]

We know that if f(a)=b then $f^{-1}(b)=a$
and
if $f^{-1}(a)=b$ then f(b)=a
so

since $f^{-1}(0)=-2$ therefor, f(-2)=0

we have 2 points, (-2,0) and (0,3)

we can use slope intercept form
y=mx+b
m=slope
b=y intercept

we have when x=0, y=3, that is the y intercept
y=mx+3

substitute the other point
(-2,0)
x=-2, y=0
0=-2m+3
-3=-2m
divide both sides by -2
$\frac{3}{2}=m$

the equation is
$y=\frac{3}{2}x+3$
or
3x-2y=-6 in standard form
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7 0

3 years ago

Name the property shown by the statement. (8 + 7) + 3 = 8 + (7 + 3)

Evgen [1.6K]

Step-by-step explanation:

Associative Property states that you can add or multiply regardless of how the numbers are grouped. By 'grouped', I mean 'how you use parenthesis'. In other words, if you are adding or multiplying it does not matter where you put the parenthesis. Example: 3+(2-4) can be rewritten as (3+2)-4.

hope it helps!

8 0

3 years ago

The price of the radio was $14. The sales tax was 3.5%.

jasenka [17]

Answer:

14.49

Step-by-step explanation:

14 * 0.035 = 0.49

14 + 0.49 = 14.49

8 0

3 years ago

A doctor visits a patient in morning rounds. In how many different ways can the doctor visit 5 patients during morning rounds

LuckyWell [14K]

10 times because 5 times 2 is 10

4 0

3 years ago

The quadrilateral shown is a trapezoid with one pair of parallel sides. If m<1 = 90' and m<3 = 160, what is m<2 + m<

Keith_Richards [23]

Step-by-step explanation:

the sum of all internal angles of any quadrilateral has to be 360°.

like in rectangles (4×90 = 360).

in this trapezoid 2 of the rectangle angles are just a little bit distorted : one angle gets more, which it takes from the other. but together these 2 angles must be 180°, as the remaining 2 angles are "normal" rectangle angles of 90°.

therefore

180 = angle 3 + angle4 = 160 + angle4

angle4 = 180 - 160 = 20°

and therefore,

angle2 + angle4 = 90 + 20 = 110°

4 0

3 years ago