The function f(x) = 2x − 1 is transformed to function g through a horizontal shift of 7 units left. What is the equation of function g?

Answer: 2

Step-by-step explanation:

Answer:

2...........

Step-by-step explanation:

1 + 1 = 2............

Answer:

.

Step-by-step explanation:

Answer:

Rectangle

Step-by-step explanation:

You graph them. From Point A to Point B it's rise 2 run 6 just like Point C to Point D. From Point D to Point A it's rise 3 run -1 just like Point C to Point B

Answer:

Solution : Graph 4

Step-by-step explanation:

Let's break down this function,

{ y = 5 if x ≤ - 2, y = 0 if x = 3, y = - 1 if x > 3 }

As you can see, graph 4 is the only one that represents this.

• When y = 5, x  ≤ - 2. This is represented by a ray with a colored hole, indicating that x = - 2. At the same time this ray extends infinitely in the negative direction, indicating that x < - 2.

• When y = 0, x = 3. This is represented as the point ( 3, 0 ).

• And when y = - 1, x > 3. At y = - 1 another respective ray, that has a non - filled hole, indicates that x ≠ 3. The ray extends infinitely in the positive direction, meeting the criteria that x > 3.

Answer:

1. The size of shift from function f to function g is -12

2. The plot of the points of a function that is shifted only half as much as g from the parent function f is in the attached file in blue color.

Step-by-step explanation:

Parent function: f(x)=2^x

x=0→f(0)=2^0→f(0)=1

x=1→f(1)=2^1→f(1)=2

x=2→f(2)=2^2→f(2)=4

x=3→f(3)=2^3→f(3)=8

x=4→f(4)=2^4→f(4)=16

Size of the shift from function f to function g: s

s=g(0)-f(0)=-11-1→s=-12

s=g(1)-f(1)=-10-2→s=-12

s=g(2)-f(2)=-8-4→s=-12

s=g(3)-f(3)=-4-8→s=-12

s=g(4)-f(4)=4-16→s=-12

Points of a function h that is shifted only half as much as g from the parent function, f. Use the same x- values as used in the table for function:

s2=s/2→s2=(-12)/2→s2=-6

x   h(x)

0   1+(-6)=1-6=-5  

1    2+(-6)=2-6=-4

2   4+(-6)=4-6=-2

3    8+(-6)=8-6=2

4    16+(-6)=16-6=10

Answer:

82% Add .34+.48.

Step-by-step explanation:

The question is asking how many people CAN swim. This is why the answer is 82. But if the question asks how many people CANT swim the answer will be 18. This is why some people might get confused.

Answer:

I hope it helps you......

Answer:

Sequence B, Sequence A, Sequence C

Step-by-step explanation:

Data obtained from the question include the following:

Sequence A: 160, 40, 10, 2.5,

Sequence B: -21, 63, -189, 567, ...

Sequence C: 8, 12, 18, 27

Next, we shall determine the common ratio of each sequence. This is illustrated below:

Common ratio (r) is simply obtained by dividing the 2nd term (T2) by the 1st term (T1) or by dividing the 3rd term (T3) by the 2nd term (T2). Mathematically, it is expressed as:

r = T2/T1 = T3/T2

For sequence A:

160, 40, 10, 2.5

2nd term (T2) = 40

Ist term (T1) = 160

Common ratio (r) =..?

r = T2/T1

r = 40/160

r = 1/4

r = 0.25

Therefore, the common ratio is 0.25.

For sequence B:

-21, 63, -189, 567

2nd term (T2) = 63

Ist term (T1) = -21

Common ratio (r) =..?

r = T2/T1

r = 63/-21

r = - 3

Therefore, the common ratio is - 3.

For Sequence C:

8, 12, 18, 27

2nd term (T2) = 12

Ist term (T1) = 8

Common ratio (r) =..?

r = T2/T1

r = 12/8

r = 3/2

r = 1.5

Therefore, the common ratio is 1.5.

Summary:

Sequence >>>>> Common ratio

A >>>>>>>>>>>>> 0.25

B >>>>>>>>>>>>> - 3

C >>>>>>>>>>>>> 1.5

From the above illustration,

Ordering the sequence from least to greatest common ratio, we have:

Sequence B, Sequence A, Sequence C.

Answer: [tex]-5x^{2} -5x-10[/tex]

Step-by-step explanation:

[tex](2x^{2} -5x-7)-(7x^{2} +3)[/tex]  

subtract by terms.

2x^2 - 7x^2 = -5x^2  

-5x  is the only term so leave it alone

-7-3= -10

-5x^2 -5x -10

Answer:

-5x-48

Step-by-step explanation:

First, simplify the first half,

(2x2-5x-7) --> (4-5x-7) --> (-5x-7+4) --> (-5x-13)

Then, simplify the second half,

(7x2+3) --> (7x5) --> (35)

Finaly put them together

-5x-13-35, subtract like terms

-5x-48

This is the most simplifyed it can get because of the variable.

Hope this helps, if you have a question if you are confused,

Have a good day and if you can, please give me brainliest, it will help a lot. :)

Answer:

Option C is the correct option.

Step-by-step explanation:

[tex] {36}^{ \frac{1}{2} } [/tex]

Write the number in exponential form with a base of 6

[tex] =( {6}^{2}) \: ^{ \frac{1}{2} } [/tex]

Simplify the expression by multiplying the exponents

[tex] = 6[/tex]

Hope this helps..

Best regards!!

Answer:

Angle A= 77.14°

Angle B= 102.86°

Step-by-step explanation:

Supplementary angles are angles that add up to 180°, as stated in the question.

This means that Angle A + Angle B= 180°

The measure of Angle A to Angle B is 3:4

3:4 --------> 3+4 = 7 total parts

Hence, angle A will be 3/7 of the total angle (180°)

angle B will be 4/7 of the total angle (180°)

That is, angle A = 3/7 × 180° = 77.1428°

angle B= 4/7 × 180° = 102.857°

Approximately, angle A = 77.14° while angle B= 102.86°

Answer:

.0000416

Step-by-step explanation:

Since 10 is squared by a negative number, the number (4.16) will be smaller. To find the answer, move the decimal 5 places to the left

Answer:

0.0000416.

Step-by-step explanation:

When 10 is raised to a negative power, that means that the decimal point will be moved to the left a certain number of units.

In this case, it is 10^-5, so the decimal point will move to the left by 5 units.

4.16 * 10^-5 = 000004.16 * 10^-5 = 0.0000416.

Hope this helps!

Answer:

Step-by-step explanation:

[tex]100x^2-20x+1=0\\\\(10x)^2-2\cdot10x\cdot1+1^2=0\\\\(10x-1)^2=0\\\\10x-1=0\\\\10x=1\\\\x=0.1[/tex]

Answer:

Step-by-step explanation:

If a scientist counts 35 bacteria present in a culture and finds that the number of bacteria triples each hour and the function y = 35 ∙ 3x models the number of bacteria after x hours, in order to estimate when there will be about 550 bacteria in the culture we will substitute y = 550 into the modeled equation and calculate the value of x as shown;

If y = 35*3x

when y = 550

550 = 35*3x

Dividing both sides by 35;

550/35 = 35*3x/35

3x = 550/35

x = 550/3*35

x = 550/105

x = 5.24

This means that there will be 550 bacteria in the culture after approximately 5 hours

Answer:

see below

Step-by-step explanation:

y = 3/4x + 3

To find the y intercept, let x =0 and solve for y

y = 0+3

The y intercept is 3

To find the x intercept, let y =0 and solve for y

0 = 3/4x+3

-3 = 3/4x

-3 *4/3 = 3/4x*4/3

-4 =x

The x intercept is -4

━━━━━━━☆☆━━━━━━━

▹ Answer

y-intercept = 3

x-intercept = -4

▹ Step-by-Step Explanation

y = mx + b

y = 3/4x + 3

0 = 3/4x + 3

-3 = 3/4x

-3 * 4/3 = 3/4x * 4/3

x = -4

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Step-by-step explanation:

3(x-2)+1

= 3x-6+1

= 3x-5

Answer:

Step-by-step explanation:

3(x-2)+1=

Then distribute, and now you get:

3x-6+1=

Now combine like terms, and now you get:

3x-5=

There is nothing much to do because there isn't a answer for it

ayuda plis nosé donde estoy q Brainli es este

ayuda

Answer:

hmm I'm not sure but i think it's B. a numerical expression

Sowwy if this didn't help :c

Answer:

Measure of arc TSU = 201°

Step-by-step explanation:

For the inscribed circle of  triangle XYZ, we have;

∠XZY = 21°

Segment TZ and segment  UZ are tangent to circle R

Therefore, ∠ZUR = ∠ZTR = 90° (angle formed by a tangent)

Length UR = Length TR = Radius of circle R

∴ ΔZTR ≅ ΔZUR Side Angle Side (SAS) rule of Congruency

∴ ∠RZT ≅ ∠RZU, (Congruent Parts of Congruent Triangles are Congruent, CPCTC)

∠XZY = ∠RZT + ∠RZU (Angle summation)

21° = ∠RZT + ∠RZU  = 2×∠RZU (Transitive property)

∠RZU = 21°/2 = 10.5° = ∠RZT

∴ ∠URZ = 180- 90 - 10.5 = 79.5° = ∠TRZ (CPCTC)

arc TU = ∠URT = ∠URZ + ∠TRZ = 79.5 + 79.5 = 159° (angle addition)

∴ Measure of arc TSU = 360° - 159° = 201° (Sum of angles at the center of the circle R)

Measure of arc TSU = 201°.

Answer:

59.0

Step-by-step explanation:

Given a right angled triangle, ∆XYZ, to know which trigonometric ratio formula to apply in finding the measure of angle X, note the following:

Opposite side to angle X = 6

Hypotenuse = 7

Therefore, we would apply the following trigonometric ratio formula to solve for m<X:

[tex] sin X = \frac{6}{7} [/tex]

[tex] sin X = 0.8571 [/tex]

[tex] X = sin^{-1}(0.8571) [/tex]

[tex] X = 58.99 [/tex]

[tex] m < X = 59.0 [/tex] (rounded to nearest tenth)

Answer:

$45

Step-by-step explanation:

find the hire purchase price: 12 months x $30 = $360 + $35 deposit = $395

difference: 395 - 350 = $45

Answer:(2x+1)(5x+3)

Step-by-step explanation:

Answer:

Look at the attached picture

Step-by-step explanation:

It is given that the center of the circle is (-3.2,2.1) and radius is 4.3.

Answer:

( x+3.2) ^2 + ( y+2.1) ^2 = 4.3^2

Step-by-step explanation:

We can write the equation of a circle as

( x-h) ^2 + ( y-k) ^2 = r^2

where ( h,k) is the center and r is the radius

( x- -3.2) ^2 + ( y--2.1) ^2 = 4.3^2

( x+3.2) ^2 + ( y+2.1) ^2 = 4.3^2

Answer:

  One of the other perpendicular bisectors must pass through point B

Step-by-step explanation:

Let's look at the choices:

 — incenter equidistant from B and C.

The incenter is on the perpendicular bisector of BC. Every point on that line is equidistant from B and C. This statement is True.

__

 — angles B and C are congruent.

As we said above, A (on the perpendicular bisector of BC) is equidistant from B and C. That makes the triangle isosceles. The congruent angles are B and C, opposite congruent sides AC and AB. This statement is True.

__

 — the perpendicular bisector of BC passes through the incenter.

The incenter is the point of concurrence of the angle bisectors. Since the perpendicular bisector of BC goes through the a.pex of triangle ABC at A, it is the angle bisector there. Hence the incenter lies on that line. The statement is True.

__

 — B lies on one of the other perpendicular bisectors.

This will be true if the triangle is equilateral. Nothing in the problem statement indicates this is the case. The statement is False.

Answer:

Jamie should have reversed the inequality when using the division property of inequality.

Step-by-step explanation:

Jamie wrote

500 − 30x ≥ 200

Subtract 500 from both sides

500-500-30x ≥ 200-500

-30x ≥ -300

Divide both sides by -30

x ≥ 10

Instead of reversing the inequality when using the division property of inequality

500 − 30x ≥ 200

Subtract 500 from both sides

500-500-30x ≥ 200-500

-30x ≥ -300

Divide both sides by -30

x <or= 10

the answer is B i hope this helps

^_^

Answer:

x = 72

Step-by-step explanation:

If P is 18 degrees and Q is 90 degrees you just add them up and subtract it by 180.

Answer:

hi pls do enter the no.s

Answer:

  105.07°

Step-by-step explanation:

The angle of v1 is ...

  arctan(5/2) ≈ 68.199°

The angle of v2 is ...

  arctan(-3/4) ≈ -38.870°

The angle difference between the two vectors is ...

  68.199° -(-38.870°) = 105.07°

Answer:

-12p^7q^9

Step-by-step explanation:

(-2/3Pq^4)^2×(-27P^5q)

= ((-2)^2)/3^2 × P^2 q^4-2 × (-27qp^5)

= ((-2)^2)/3^2 × 27p^7q9

= (((-2)^2 x 27p^7q9)/3^2

= -((4×27p^7q^9)/9)

= -(108p^7q^9)/9

= -12p^7q^9

Answer:

a. Based on this sample, we are 90% confident that the average decrease in daily water consumption after viewing the conservation video is between 4.2 and 10.8 gallons.

Step-by-step explanation:

From the given information:

we learnt that :Ten different families were tested for the average number of gallons of water they used per day before and after viewing a conservation video.

A 90% confidence interval for the difference of the means after and before the training, was determined to be (−10.8,−4.2)

Confidence interval  shows the range of values with the likelihood to contain a true population value with a certain degree of confidence. In confidence interval, a true population mean lies within the interval of a lower limit and upper limit.

From the given information; the lower limit is -10.8 and the upper limit is -4.82; based on this negative sign, it means they are both decreasing.

Therefore; we can conclude from the given option that :

Based on this sample, we are 90% confident that the average decrease in daily water consumption after viewing the conservation video is between 4.2 and 10.8 gallons.

Answer:

1. Proportional

2. Not proportional

3. Proportional

Step-by-step explanation:

Mike's proportion

Michael gave $1.32 tip for an order that cost $8.80

$1.32÷$8.80=0.15

Given

1. $2.22 for $14.80

$2.22÷$14.80 =0.15

It is proportional to Mike's tip

2. $1.86 for $10.50

$1.86÷$10.50=0.1771

It I not proportional to Mike's tip

3. $0.78 for $5.20

$0.78÷$5.20=0.15

It is proportional to Mike's tip

Therefore,

1. Proportional

2. Not proportional

3. Proportional

Answer:

The first one is proportional

The second one is not proportional

The third one is proportional

Step-by-step explanation:

I just got it right on Khan