Need help to understand how to do this.

Step-by-step explanation:

Part A:

4x² - 7x - 15

a, b, c = 4, -7, -15

ac = -60

factors that add up to -7 and multiply to -60 are (-12, 5)

rewrite equation

(4x² - 12x) + (5x - 15)

factor out GCF from both groups

4x(x - 3) + 5(x - 3)

(4x+5)(x-3)

Part B:

Using the factored form from the previous part we can set both factors equal to 0 to solve for x.

4x+5 = 0

4x = -5

x = -5/4

x-3 = 0

x = 3

the two x-intercepts are -5/4 and 3

Part C:

Since the leading coefficient is positive, the right side of the function will be going up or to positive infinity as x goes towards positive infinity. Since the degree is even both sides go in the same direction so on the left side it also goes towards positive infinity as x goes towards negative infinity.

Answer:

15 bags

Step-by-step explanation:

3 = 12/4

3 3/4 = 3+3/4 = 12/4 + 3/4 = (12+3)/4 = 15/4

(15/4) ÷ (1/4) = 15

The zero of the function is at 33.69 degree , the graph is plotted and attached with the answer.

A function is a law that relates a dependent variable and an independent variable with each other

It is given that

y = 2tan (x - π/2) +3

To find the zeroes of a function that function has to be equated to zero.

2tan (x - π/2) +3 = 0

2tan (x - π/2)  = -3

tan (x - π/2)  = -3/2

x - 90 = -56.31

x = 33.69 degree

The zero of the function is at 33.69 degree

For finding the maxima /minima

the derivative is

dy/dx = 2 sec² (x - π/2)

the point at which the slope is zero is substituted in the second derivative to find maxima/minima

d²y/dx² = 4 sec² (x - π/2) tan (x - π/2)

if the value is negative then it is a maxima and if it is positive it is a minima.

The vertical asymptote is found by finding the values that make the function undefined

x = 0+ πn

No horizontal or oblique asymptote

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Answer:

c

Step-by-step explanation:

left is in brackets and opposite sign so left is plus right is minus

The sum of the measures of all the interior angles of the pentagon is 540°. Option B

Note that

Sum of Interior Angles in a Pentagon = 540°

A pentagon is formed from three triangles, so the sum of angles in a pentagon = 3 × 180° = 540°

If one of the interior angles = 108°, then the other two angles = 2 * 108° = 216°

The sum of the interior angles = 108° + 216° = 540°

Therefore, the sum of the measures of all the interior angles of the pentagon is 540°

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Step-by-step explanation:

It's answer is x_> -27 by using inequality rule

Answer:

[tex]\fbox {True}[/tex]

Step-by-step explanation:

Trigonometric ratios apply to only right triangles, and not to oblique triangles. There various ratios of angles less than or equal to 90 degrees is taken.

Step-by-step explanation:

hope you can understand

Answer:

-×-=+

49×3

147

Step-by-step explanation:

please mark me as brainlest

The required correct answer is C. g(x) = |x + 5|. This equation satisfies both conditions we identified above: it involves the term "x+5", and it shifts the graph of f(x) = |x| to the left by 5 units.

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Since both graphs have the same shape, the red graph is a transformation of the blue graph.

When we compare the two graphs, we can see that the red graph is shifted horizontally to the left by 5 units. This means that the equation of the red graph must involve the term "x+5" or "x-5" in some way.

Also, we can see that the red graph intersects the y-axis at the point (0, 5). This means that the equation of the red graph must involve the term "+5" in some way.

The correct answer is C. g(x) = |x + 5|. This equation satisfies both conditions we identified above: it involves the term "x+5", and it shifts the graph of f(x) = |x| to the left by 5 units. When we plot this equation, we get a graph that has the same shape as f(x) = |x|, but is shifted to the left and intersects the y-axis at (0, 5).

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The limit [tex]\lim_{x \to \ 3^{+} } _f(x)[/tex] is equal to -3 for the function whose graph is being shown in the question.

Given Graph of a function.

If we see the graph carefully then we can find that it is not a straight linear means it is not the graph of a linear function. From x=-10 to -3 the range is from 4 to -2 and from 3 onwards it is a straight line at y=-3. means when we put the value of x in the function equal to or less than 3 then we gets different answers than the values equal to or greater than 3 gives.

Because the graph is linear from x=3 onwards so the limit of the function will be -3.

Hence the limit [tex]\lim_{x \to \ 3^{+} } f(x)[/tex] is equal to -3.

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There are 315 number of different pairs

The given parameters are:

Men = 15

Women = 21

The number of different pairs is calculated as:

Pair = Men * Women

So,we have:

Pair = 15 * 21

Evaluate

Pair = 315

Hence, there are 315 different pairs

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The number of lines that can be drawn parallel to plane P that passes through point A is 1.

From the information given, we are told that Point A lies outside of plane P. It should be noted that when a line is drawn from a point to another, it can only be one.

Therefore, the number of lines that can be drawn parallel to plane P that passes through point A is 1.

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1.

Answer:

<B ≅ <F

<C ≅ <G

<D ≅ <H

<A ≅ <E

Explanation:

Little tick marks are used to show that two sides are the same length (congruent).  You can use just one tick mark, two or three, or more -- just as long as you use the same number on sides that are equal.

You make the little rounded sweep in the angle and then use tick marks to show which angles are the same size (have the same measure -- are congruent).

2.

Answer: x = 8 and y = 19

Explanation:

Triangle MLN ≅Triangle SRT

Therefore, each angle and side measure of one triangle are equal to the corresponding angle and side of the other triangle.

<M ≅ <S

<S= 93 (Given)

<M=93

<N=63 (Given)

Line segment ML ≅ Line segment SR

Line segment ML = 43

Line segment SR = 3x + y

Now, we need to find the values of x and y.

43 = 3x + y

<M+<N+<L=180 (Interior angles measure of a triangle is always 180)

93+63+z=180

156+z=180

z= 24

24 is the measure of <R.

<R=3x

24=3x

x=8

Now if we plug in the 8, the value of x, into our equation above,

43=3x+y

43=3(8)+y

43=24+y

43-24=y

19=y

3.

Answer:

<K ≅ <M

<J ≅ <N

<Q ≅ <P

<L≅ <L

Explanation:

Because all four interior angles are congruent to each other, these two quadrilaterals are equal to each other. Additionally, the side measurements of one shape are equal to the corresponding measurements of the other shape.

4.

Answer: What must be true about these two triangles is that triangle ABC and triangle DEF are equilateral triangles.

Explanation: This means that the measurement of all sides is equal and the measurement of all angles is also equal.

An equation is formed when two equal expressions. Ms. Kilicoglu will buy 20 volleyballs and 25 basketballs.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let x be the number of volleyballs and y be the number of basketballs. Therefore, the total number of balls can be written as,

x + y = 45

x = 45 - y

Each volleyball costs $8 and each basketball costs $11. Also, Ms. Kilicoglu has only $435, therefore,

8x + 11y = 435

8(45 - y) + 11y = 435

360 - 8y + 11y = 435

3y = 75

y = 25

Substitute the value of y in the first equation,

x + y = 45

x + 25 = 45

x = 20

Hence, Ms. Kilicoglu will buy 20 volleyballs and 25 basketballs.

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Answer:

56

Step-by-step explanation:

you first had to get the marked price so t you can get the profit.

just as illustrated in the picture above.

Answer:

y = 20 , x = 30

Step-by-step explanation:

they're equilateral triangles, meaning that each angle MUST be the same (60 Degrees).

So y = 20

And x = 30

An augmented matrix is invertible if the linear system has a unique solution.

The augmented matrix is known as a rectangular matrix.

The properties of an augmented matrix includes:

Note that the inverse of a matrix must be unique

And If A is invertible, then its inverse is unique.

If the linear system is unique, then the augmented matrix is invertible.

Thus, an augmented matrix is invertible if the linear system has a unique solution.

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Volume = PI x r*2 x h/3

r = radius which is shown as 8

h is the height which is shown as 63

Volume = 3.14 x 8^2 x 63/3

Volume = 3.14 x 64 x 21

Volume = 4,220.16 cubic units.

The area of a regular octagon with an apothem of 2 cm is 3cm ^2.

The area of a regular octagon with an apothem of 2 cm.

Given the apothem length,

the area of a regular polygon becomes,

[tex]A=\frac{1}{2}\times P\times A[/tex]

P=  the perimeter of the regular polygon

A is the apothem of the regular polygon

Here, we get

p=2=2cm, a=3cm.

So, plugging in the given values, we get

[tex]A=\frac{1}{2} \times 2cm\times 3cm[/tex]

A=1cm⋅3cm

A=3cm^2

Therefore the area of a regular octagon with an apothem of 2 cm is 3cm ^2.

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Answer:

11. The student put 24 as the diameter instead of the radius.

12. 48 pi

Step-by-step explanation:

The formula for the circumference of a circle is c = pi x diameter.

However, the question says that the radius is 24m, not the diameter.

To fix it, all you need to to is double the radius to get 48m for the diameter.

48 x pi = 48 pi

Answer:

Step-by-step explanation:

π = 22/7 or 3.14

Circumference= diameter × 22 / 7

= 2 × radius × 22 / 7

= 2 × 24 × 22/ 7

= 48 × 22 / 7

= 48 / 1 × 22 / 7

= 1056 / 7

= 150.8571428 m

Answer:

Both of the two unknown sides of the triangle are 23.32 cm

Step-by-step explanation:

"Isosceles" means that the triangle has two equal sides. It is quite symmetrical. If we draw in the height, the base will be cut right in half by it. See image.

First use area formula:

A = 1/2bh

to find the measure of the height (Area and base were both given)

Then use the Pythagorean Theorem to solve for the hypotenuse, which is the side of the triangle. See image.

Let original Hieght be X

reduction = 32% = 32/100 X

new hieght = 4.42 m

now, 4.42 = X + 32/100 X

4.42 = 132/100 X

X = 4.42 * 100 / 132

X = 3.34 m

Original Hieght = 3.34 m

A rule that relates their ages over time is given by y = x+3 , When Jack is 28 years , Todd will be 31 years old.

Variables are generally alphabets that are used to denote the unknown values in any process or equation.

If Jack is x years old

Todd is y years old

Todd is 3 years older than his brother Jack.

a rule that relates their ages over time is given by

y = x+3

When Jack is 28 years old

Todd will be

y = 28+3

y = 31 years

Therefore Todd will be 31 years old.

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Accounting profit when revenue is 700,000 is $-17,000 and economic profit is $-147,000.

Accounting profit when revenue is 750,00 is $33,000 and economic profit is $-97,000

Accounting profit when revenue is 800,000 is $83,000 and economic profit is $-47,000.

Accounting profit when revenue is 850,000 is $133,000 and economic profit is $3000

Accounting profit is total revenue less total explicit cost. Economic profit is accounting profit less implicit cost

Explicit cost = $560,000 + $74,000 + $83,000 =$717,000

Implicit cost = 130,000

Accounting profit when revenue is 700,000: 700,000- 717,000 = $-17,000

Economic profit = $-17,000 - $130,000 = $-147,000

Accounting profit when revenue is 750,000: 750,000- 717,000 = $33,000

Economic profit = $33,000 - $130,000 = $-97,000

Accounting profit when revenue is 800,000: 800,000 - 717,000 = $83,000

Economic profit = $83,000 - $130,000 = $-47,000

Accounting profit when revenue is 850,000: - 717,000 = $133,000

Economic profit = $133,000 - $130,000 = $3000

Here is the complete question:

For each possible amount of total revenue, fill in the accounting profit and economic profit of the marketing firm.

700,000

750,000

800,000

850,000

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Answer:

x = 45 degrees

Step-by-step explanation:

Using the alternate exterior angle theorem, the angles are equal. You can set the expressions equal to each other:

3x = x + 90
2x = 90
x = 45

Answer:

[tex]\huge\boxed{\sf 38\%}[/tex]

Step-by-step explanation:

Total members = 500

Total percentage = 100%

Percentage of male members = 62%

= 100% - male members

= 100% - 62%

= 38%

[tex]\rule[225]{225}{2}[/tex]

Answer:

310 members or 38% are female

Step-by-step explanation:

100% - 62%male = 38% female

or (62 × 500) ÷ 100 = 310 females

Answer:

((√x) - 1 )/-2 = y (3rd answer)

Step-by-step explanation:

Swap the x and y in the original equation:
x = (-2y+1)^2
√x = -2y + 1
((√x) - 1 )/-2 = y
I believe the final answer is the third answer.

Answer:

a) 270000

b) 2000000

c) 24000000

Step-by-step explanation:

For a)

346 to 1 s.f is 300

904 to 1 s.f is 900

300 × 900 = 270000

For b)

2451 to 1 s.f is 2000

988 to 1 s.f is 1000

2000 × 1000 = 2000000

For c)

3204 to 1 s.f is 3000

7756 to 1 s.f is 8000

3000 × 8000 = 24000000

Hope this helped and have a good day