Given that f(x) = x + 4 and g(x) = x + 7, find (g – f)(x). Question 2 options: (g – f)(x) = 3 (g – f)(x) = – 3 (g – f)(x) = – 4 (g – f)(x) = 4

Answer:

True

Step-by-step explanation:

40oz = 2.5 lb

10 = 0.625

Answer:

$620

Step-by-step explanation:

（1-62%）X=235.6

X=235.6/38%

X=620

The original price is $620

Answer: No

Step-by-step explanation:

We know that A+B = 90, but without further information we cannot determine the specific values of A and B.

given a parabola in standard form

y

=

a

x

2

+

b

x

+

c

then the x-coordinate of the vertex can be found using

∙

x

x

vertex

=

−

b

2

a

y

=

x

2

−

6

x

+

5

is in standard form

with

a

=

1

,

b

=

−

6

,

c

=

5

⇒

x

vertex

=

−

−

6

2

=

3

substitute this value into equation for y-coordinate

y

vertex

=

3

2

−

6

(

3

)

+

5

=

−

4

⇒

vertex

=

(

3

,

−

4

)

the axis of symmetry is vertical and passes through the

vertex with equation

x

=

3

to find x-intercepts let y = 0

⇒

x

2

−

6

x

+

5

=

0

the factors of + 5 which sum to - 6 are - 1 and - 5

⇒

(

x

−

1

)

(

x

−

5

)

=

0

equate each factor to zero and solve for x

x

−

1

=

0

⇒

x

=

1

x

−

5

=

0

⇒

x

=

5

⇒

x

=

1

and

x

=

5

←

x-intercepts

graph{(y-x^2+6x-5)(y-1000x+3000)=0 [-10, 10, -5, 5]}

Answer:

6x + 12

Step-by-step explanation:

Distribute the 4 first. Now you have 4x + 12 + 2x. 4x + 2x are like terms and therefore they can be added. Your final simplified answer is therefore 6x + 12.

Answer:     the value of A is 2

Step-by-step explanation:

A square

Step-by-step explanation:

because there're only 2 circles being create whereas with an equilateral

Answer:

A square

Step-by-step explanation:

Answer:

The z-score for a pulse rate of 147.6 beats per minute is 6.46 > 2, which means that this pulse rate is significantly high.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

By the Range Rule of Thumb, if Z < -2, the measure X is significantly low, and if Z > 2, the measure X is significantly high.

Mean of 75.2 beats per minute and a standard deviation of 11.2 beats per minute.

This means that [tex]\mu = 75.2, \sigma = 11.2[/tex]

Is a pulse rate of 147.6 beats per minute significantly low or significantly​ high?

We have to find Z when X = 147.6. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{147.6 - 75.2}{11.2}[/tex]

[tex]Z = 6.46[/tex]

The z-score for a pulse rate of 147.6 beats per minute is 6.46 > 2, which means that this pulse rate is significantly high.

Answer:

true

Step-by-step explanation:

The diameter of a circle is a single line segment that stretches the entire width of the circle, intersecting with the center point and two points around the circumference. The diameter measures how wide the circle is, and is always equal to twice the radius (2r).

Answer: Imma say C

Step-by-step explanation:

Answer:

150%

Step-by-step explanation:

given:

original quantity = 14

new quantity = 35

increased quantity = 35 - 14

=21

percent change = increased quantity /original quentity * 100%

=21/14 *100%

=21100/14 %

=150 %

Answer:

f(10) = 12

Step-by-step explanation:

f(x) = x + 2

Substitute x for 10.

f(10) = 10 + 2

f(10) = 12

Answer:

12

Step-by-step explanation:

Substitute 10 into x -> 10+2=12

Answer:

[tex]2\sqrt{2}[/tex]

Step-by-step explanation:

The given triangle is an isosceles triangle. However, one can see that it has a right angle (indicated by the box around the angle). Thus the triangle is a (45 - 45 - 90) triangle. A (45- 45 - 90) triangle is the only right isosceles triangle. One of the properties of a right isosceles triangle is that its sides follow the following ratio,

[tex]a;a;a\sqrt{2}[/tex]

Where (a) represents the legs of the right triangle, the sides that are adjacent to the right angle, in this case, the congruent sides. ([tex]a\sqrt{2}[/tex]) is the hypotenuse, the side opposite the right angle.

It is given that the hypotenuse is equal to (4), one is asked to find the length of the legs. To do so, divide the hypotenuse by ([tex]\sqrt{2}[/tex]) to find the legs. One can do this because the triangle is a (45 - 45 - 90) triangle, thus it must follow the ratio of the sides.

[tex]=\frac{4}{\sqrt{2}}[/tex]

Rationalize the denominator,

[tex]\frac{4}{\sqrt{2}}\\\\=\frac{4\sqrt{2}}{2}\\\\=2\sqrt{2}[/tex]

Answer:

-1

Step-by-step explanation:

When b<4

|b-4|  is negative

|b-4|  = - ( b-4)

- (b-4) / ( b-4) =

Factoring out (b-4)

-1

Answer:

56

Step-by-step explanation:

the surface area = (4×4) + (4×½×4×5)

= 16 + 40

= 56

Answer:

10 cm^2

Step-by-step explanation:

area= 1/2 b*h

1/2 (5) (4)

= 1/2 (20)

=10

area= 10cm^2

Answer:

a = 10cm²

Step-by-step explanation:

a = (1/2)bh

a = (1/2)(5)(4)

a = 10cm²

Answer:

This can be done in 3,060 ways.

Step-by-step explanation:

Letters are chosen without replacement, and the order does not matter, which means that the combinations formula is used.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

Four letters from a set of 18. So

[tex]C_{18,4} = \frac{18!}{4!14!} = 3060[/tex]

This can be done in 3,060 ways.

Answer:

3x + 1/4

Step-by-step explanation:

1/2 (6x + 1/2)

Distribute

1/2 * 6x + 1/2 * 1/2

3x + 1/4

Answer:

The answer is below

Step-by-step explanation:

Given the system of equations:

x + y + 2z = 9

2x + 4y - 3z = 1

3x + 6y - 5z = 0

This system of equation can be solved using matrix. This done by first representing the equations as matrix and then solving:

The matrix form is:

[tex]\left[\begin{array}{ccc}1&1&2\\2&4&-3\\3&6&-5\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}9\\1\\0\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&1&2\\2&4&-3\\3&6&-5\end{array}\right] ^{-1} \left[\begin{array}{c}9\\1\\0\end{array}\right] \\\\\\[/tex]

[tex]\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}2&-17&11\\-1&11&-7\\0&3&-2\end{array}\right] \left[\begin{array}{c}9\\1\\0\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}1\\2\\3\end{array}\right][/tex]

Answer:

y=17

Step-by-step explanation:

move the constant to the right hand side and change it's sign

y=41-24

then subtract the numbers y= 41-24

which = 17

Answer: i believe it is 24 + 17 = 41  ^^       can you give me brainly when you get the chance

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

3-(-2)

the two negative signs cancel out and it turns into

3 + 2

3 + 2 = 5

Answer:

5

Step-by-step explanation:

minus * minus = plus

3-(-2) = 3 + 2 = 5

Answers:

Trey's number line is incorrect because it represents the expression 2 1/2 ÷ 3/4.

The correct equation is 2 1/2 ÷ 3/8 = 6 2/3.

Ms. Nellies has enough vinegar for 6 groups of students.

===========================================================

Explanation:

Trey has the right idea, but made a mistake on how the tickmarks are set up. Focus on the interval from 0 to 1. This section is cut into 4 equal pieces. So each tickmark represents 1/4 of a unit.

Going 3 tickmarks across means 3/4 of a unit is represented. Since each larger arc represents 3/4 of a unit, this means we're dividing the 2 & 1/2 over 3/4 instead of 3/8

That's why Trey's model represents 2 1/2 ÷ 3/4

The value 3 & 1/3 at the end is correct. Visually we see 3 whole jumps plus an extra 1/3 of a jump to arrive at 2 & 1/2. But again, Trey didn't cut the number line up in the right way, so it doesn't matter that he arrived at the correct result of 3 & 1/3 since his initial setup is faulty.

------------------------------

See the diagram below to see what Trey should have drawn. Notice each tickmark represents 1/8 instead of 1/4. Each large blue arc jump represents 3/8 of a unit. We have exactly 6 of these blue arcs plus 2 additional smaller arcs that are 1/3 of the blue arc. So that accounts for the 1/3+1/3 = 2/3 portion.

Overall, we would say that the equation is 2 1/2 ÷ 3/8 = 6 2/3

If you're curious why that equation works, check out the steps below

[tex]2 \frac{1}{2} \div \frac{3}{8} = \frac{5}{2} \div \frac{3}{8}\\\\2 \frac{1}{2} \div \frac{3}{8} = \frac{5}{2} \times \frac{8}{3}\\\\2 \frac{1}{2} \div \frac{3}{8} = \frac{5*8}{2*3}\\\\2 \frac{1}{2} \div \frac{3}{8} = \frac{40}{6}\\\\2 \frac{1}{2} \div \frac{3}{8} = \frac{20}{3}\\\\2 \frac{1}{2} \div \frac{3}{8} = \frac{18+2}{3}\\\\2 \frac{1}{2} \div \frac{3}{8} = \frac{18}{3}+\frac{2}{3}\\\\2 \frac{1}{2} \div \frac{3}{8} = 6+\frac{2}{3}\\\\2 \frac{1}{2} \div \frac{3}{8} = 6\frac{2}{3}\\\\[/tex]

So again, the equation is 2 1/2 ÷ 3/8 = 6 2/3

------------------------------

What does this all mean? Well it means the teacher can break up the vinegar into 6 whole parts plus an additional 2/3 of a part.

In other words, 6 groups will get 3/8 of a pint each. The leftover part 2/3 isn't enough to form that 7th group. Notice in the diagram below, we have 2/8 = 1/4 of a pint which is smaller than 3/8 of a pint.

1/4 = 0.25

3/8 = 0.375

So this is another way to see that the leftovers isn't enough to form a 7th group.

Therefore, she has enough vinegar for 6 groups

Answer:

[tex]2x - 3y = - 5 - - - (a) \\ 4x - 6y = 1 - - - (b) \\ no \: answers[/tex]

Answer:

Step-by-step explanation:

x + ab = p

x = p - ab

Given:

Angle of depression from observation deck to a ship = 67°

Height of observation deck = 1014 feet.

To find:

The horizontal distance from the base of the skyscraper out to the ship.

Solution:

Let x be the horizontal distance from the base of the skyscraper out to the ship.

Using the given information draw a diagram as shown below.

In a right angle triangle,

[tex]\tan\theta=\dfrac{Perpendicular}{Base}[/tex]

For triangle ABC,

[tex]\tan A=\dfrac{BC}{AB}[/tex]

[tex]\tan (67^\circ)=\dfrac{1014}{x}[/tex]

[tex]x=\dfrac{1014}{\tan (67^\circ)}[/tex]

On further simplification, we get

[tex]x=\dfrac{1014}{2.35585}[/tex]

[tex]x=430.41789[/tex]

[tex]x\approx 430.4[/tex]

Therefore, the horizontal distance from the base of the skyscraper out to the ship is 430.4 feet.

Applying the Trigonometry ratio, TOA, the horizontal distance from the base of the  skyscraper out to the ship is: 430.4 ft.

Recall:

The situation described is shown in an image attached below, where:

To find BA, apply TOA, which is:

tan ∅ = Opp/Adjacent

tan 67 = 1014/BA

[tex]BA = \frac{1014}{tan(67)} \\\\\mathbf{BA = 430.4 $ ft}[/tex]

Therefore, applying the Trigonometry ratio, TOA, the horizontal distance from the base of the  skyscraper out to the ship is: 430.4 ft.

Learn more about Trigonometry ratio on:

https://brainly.com/question/10417664