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3 years ago

Which expression is equivalent to (f g) (5)?

Mathematics

1 answer:

gladu [14]3 years ago

6 0

Answer:

f(5).g(5)

Step-by-step explanation:

(fg)=(f.g)

this is how it starts: (fg)(X)= f(x) [g(x)]

x=5

f(5).g(X)

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Use complete sentences to state who is correct and why.

Vlad1618 [11]

Answer:

I dont think you gave the entire question but
bridget is saying x > 3
dana is saying x < 3

5 0

2 years ago

Use the quadratic expression 25x2−y2 to answer the questions.

vova2212 [387]

Answer:

Part A)

This quadratic expression can be factored by using the difference of squares pattern.

Part B) (5x+y) and (5x-y)

Step-by-step explanation:

Given:

25x^2-y^2

above polynomial can be factorize by using difference of squares formula

a2-b2=(a+b)(a-b)

25x^2-y^2= (5x-y)(5x+y)

so for part A)

correct option is This quadratic expression can be factored by using the difference of squares pattern.

Part B)

As factored above in part A,

the factors of given polynomial 25x^2-y^2 are (5x+y)(5x-y)

so for part B) correct options are (5x+y) and (5x-y) !

8 0

4 years ago

Joel wanted his mom to buy a super-sized box of his favorite cereal, but his mom didn't think it would fit in her cupboard. The

Lorico [155]

<h3><u>Given</u>:-</h3>

Volume 6,900 cm^3
Length = 23 cm
Width = 10cm

Height of box ??

<h3><u>Solution</u>:-</h3>

$\\\diamond{\underline{\underline{\sf {\;\; Calculating\; Height\; of \; box :-}}}}\\$

$\\ \pink \star \: \: {\underline{\boxed {\bf{ Volume_{ \red{ \{Rectangle \}}} \: = l \times w \times h }}} }\; \red\bigstar \\$

Where,

» l denotes Length
» w denotes Width
» h denotes Height

$\\ \sf \implies \: {Volume_{ \red{ \{Rectangle \}}} \: = l \times w \times h} \\$

$\\ \sf \implies \: { 6,900 \: = \: 23 \: \times \: 10 \: \times h} \\$

$\\ \sf \implies \: { 6,900 \: = \: 230 \: \times \: h} \\$

$\\ \sf \implies \: { \: h \: = \: \frac{6900}{230} \: } \\$

$\\ \sf \implies \: { \: h \: = \: 30 \: {cm }^{3} \: } \\$

$\\ \implies{\underline{\boxed{\frak { Height = 30 \: cm^3 }}}} \; \purple\bigstar \: \\$

$\\\qquad \rule{120pt}{3pt}\\$

Therefore , the Volume of the Box is 30 cm ³.

5 0

2 years ago

How do I solve this?

vampirchik [111]

4 , divide the x by the y to find a constant

4 0

3 years ago

Write an equation of a line that is perpendicular to the line y = 3/2x + 3 and goes through the point (-3, -8). Hint: Use the po

JulijaS [17]

Point-slope form looks like this: y - k = m(x - h) where m is the slope, k is the y-value and h is the x-value. For (-3, -8), -3 would replace h and -8 would replace k.

Slope-intercept form looks like this: y = mx + b where m is the slope and b is the y-value.

To solve the problem we must plug in the given coordinate and slope to the point-slope formula then change the point-slope form into slope-intercept form. But first we need to know what the slope is.

If a line is perpendicular to another line, their slopes are negative reciprocals of each other. So with the line y = 3/2x + 3, the slope for another line that is perpendicular has to be -2/3 because we switched the numerator and denominator and made it from positive to negative.

Now that we know the slope and the given coordinate, we can start solving.

Plug the givens into the point-slope formula y - k = m(x - h).
y - (-8) = -2/3(x - (-3))
y + 8 = (-2/3*x) - (-2/3*-3)
y + 8 = -2/3x + 2 Now we can convert the equation to slope-intercept form.
y + 8 - 8 = -2/3x + 2 - 8 Remember that what we do on one side we must do one the other, so we subtract 8 on the left <em>and </em>right to get y by itself.
y = -2/3x - 6 This equation is now in slope-intercept form y = mx + b, so this is the final result.

I hope this explanation made sense. If there is anything that I made look confusing, feel free to tell me and I'll try my best to explain!

8 0

3 years ago