How many solutions does this system have? y = 3 x minus 5. y = negative x + 4. one two an infinite number no solution

Answer:

     g(x) = x^2/16

Step-by-step explanation:

To stretch a function horizontally by a factor of k, replace x with x/k.

You want a stretch factor of 4, so your function is ...

  g(x) = f(x/4) = (x/4)^2

  g(x) = x^2/16

__

The attached graph shows the horizontal stretch.

Answer:  8 days

Step-by-step explanation:

Given, At Sami's Shoe Warehouse, it takes 4 over 5 of a day to complete 1 over 10 of an order of sneakers.

i.e. [tex]\dfrac{4}{5}[/tex] x  (1 day) = [tex]\dfrac{1}{10}[/tex] x (an order of sneakers)

Multiply 10 on both the sides , we get

[tex]\dfrac{4}{5}\times10[/tex] x  (1 day) = [tex]\dfrac{1}{10}\times10[/tex] x (an order of sneakers)

⇒[tex]4\times2[/tex] x  (1 day) = an order of sneakers

⇒[tex]8[/tex] x  (1 day) = an order of sneakers

i.e. Time to complete an order of sneakers = 8 days

Hence, it will take 8 days to complete the entire order of sneakers.

Answer: 8 days total

Step-by-step explanation:

Answer:

slope of the line containing the given points (6,-1) AND (5,-7) is 6

point- slope form of the equation is

(y+1)= 6(x-6)  ( because, i'm choosing the point (6,-1)

Step-by-step explanation:

slope = (-7 + 1) / (5 - 6 ) = -6/-1 = 6

(y-y1) = m ( x - x1)

(y+1 ) = 6 ( x-6)

Answer:

The answer is C addition property of equality.

Step-by-step explanation:

In step 1, 7x − 25 = 4x − 1 there are the numbers -25 and -1

In step 2, 7x = 4x + 24 The -25 is removed and -1 is replaced with 24

Meaning that in step 2 25 was added to those numbers meaning the answer C addition property of equality.

Answer:

C

Step-by-step explanation:

Answer:

The correct option is;

c. ∠A ≅ ∠D

Step-by-step explanation:

The given information are;

[tex]\overline{AB}\cong \overline{DE}[/tex]                      

[tex]\overline{AC}\cong \overline{DF}[/tex]

Therefore, for Side Angle Side, SAS, condition of congruency, we have;

The included angle should be congruent that is ∠C ≅ ∠D

Two triangles, triangle ABC and triangle XYZ for example, having two adjacent sides, AB and AC in triangle ABC and XY and XZ in triangle XYZ of corresponding length such that AB ≅ XY and AC ≅ XZ and also having congruent included angles between the two sides (∠A ≅ ∠X), the two triangles are said to be congruent.

For triangles ABC and DEF to be considered congruent triangles, the additional information that is needed to be congruent is: C. ∠A ≅ ∠D

SAS means, side-angle-side congruence theorem, which states that two triangles are congruent if they have two pairs of congruent sides and a pair of congruent angles that are included angles (in between the two congruent sides).

Therefore, for triangles ABC and DEF to be considered congruent triangles, the additional information that is needed to be congruent is: C. ∠A ≅ ∠D

Learn more about SAS congruence theorem on:

https://brainly.com/question/14252518

Answer:

32-(7-17)+11

32-(-10)+11

32+11-(-10)

43-(-10)

53

Answer:

(i) The increase expected in the share price between the first year and the third year is $0.90

(ii) The 10th year

Step-by-step explanation:

(i) The given relation is [tex]V = 2.95+2\cdot log_{10}\left (10\cdot t + 1 \right )[/tex]

In the first year, we have t = 1, which gives;

[tex]V = 2.95+2\cdot log_{10}\left (10\times 1 + 1 \right ) = 2.95+2\cdot log_{10}\left (1 1 \right ) = \$5.03[/tex]

In the third year, we have t= 3 which gives;

[tex]V = 2.95+2\cdot log_{10}\left (10\times 3 + 1 \right ) = 2.95+2\cdot log_{10}\left (31 \right ) = \$5.93[/tex]

Therefore, the increase expected in the share price between the first year and the third year is $5.93 - $5.03 = $0.90

(ii) When the share price value becomes >$7.00, we have;

[tex]7 = 2.95+2\cdot log_{10}\left (10\cdot t + 1 \right )[/tex]

Which gives;

7 - 2.95 = 2·㏒(10·t + 1)

4.05/2 = ㏒(10·t + 1)

2.025 = ㏒(10·t + 1)

[tex]10^{2.025} = 10 \cdot t + 1[/tex]

105.93 = 10·t + 1

104.93 = 10·t

t = 104.93/10 = 10.493 ≈ 10.5 years which is within the 10th year.

Answer:

31 cm

Step-by-step explanation:

The perimeter is the sum of the sides so the answer is 8 + 10.5 + 9 + 3.5 = 31 cm.

Answer:

Jesse

Step-by-step explanation:

Everyone except for Jesse and Trey asked other grades but Jesse and Trey was the only one that asked 6th graders. The reason why I thought Trey might be biased is he asked HIS class while Jesse asked random people.

Hope this helped! :)

Answer:

B, C, D

Step-by-step explanation:

if tan theta = 15/8 then the hypotenuse is 17

therefore the correct answers are B, C, D

Answer:

17s + 68.

Step-by-step explanation:

17s - 10 + 3(25 + 1)

= 17s - 10 + 3 * 26

= 17s - 10 + 78

= 17s + 68.

Hope this helps!

Answer:

its b 23s - 7

Step-by-step explanation:

took the test

Answer:

D = - 13/19

Step-by-step explanation:

Slope = (y2 - y1)/(x2 - x1) = (6- (-7))/(-5-14) = -  13/19

Answer:

c

Step-by-step explanation:

Answer:

I think it's b.

Step-by-step explanation:

Let's just say that in the first square, all sides equal 4. In this square, if you cut out a piece the perimeter will stay the same. Let's check:

First square: 4+4+4+4=16

Second square: 3+4+4+2+1+2=16

So yes, it's b.

Answer:

Yes

Step-by-step explanation:

This graph represents a continuous function. That means that the line can be drawn without lifting your pen/pencil from the graph. You can tell that it is a function by doing the vertical line test. Since there is only one output for every input on the graph, it would be a function.

(Thanks to the users who caught my previous error :)

Answer:

Step-by-step explanation:

2)

a) elimination method

b) substitution method

c) substitution method

For the first part we can elimate the y variable by subtracting the equations. We can then find the value of x.

For the second part we can substitute y as 2x+5 in the second equation and solve for x.

For the third part we can substitute y as 4x+3 in the first equation and solve for x.

3)

Answer:

900

Step-by-step explanation:

a heptagon has 7 sides, so we take the hexagon's sum of interior angles an and add 180 to it's getting us, 720 + 180 = 900 degrees

Answer:

5x-18 this angle is equal to 92

3x+22 this angle is equal to 88

angle a=88

angle b=92

Step-by-step explanation:

set 5x-18 and 3x+22 equal to 180 and solve to get x=22. Now look for ways to fill in a and b. A is an alternate interior angle that will be equal to 3x+22

angle b will be equal to the angle 5x-18

Answer:

The value of x is22°, a is 88° and b is 92°.

Hope it helps..

Answer:

A= 2

B=28

C=0

Step-by-step explanation:

ax2 + bx + c=0

Answer:

Step-by-step explanation:

First we have to find out area of the base

[tex]s = \frac{a + b + c}{2} [/tex]

[tex] = \frac{5 + 12 + 13}{2} [/tex]

[tex] = \frac{30}{2} [/tex]

[tex] = 15[/tex]

Area of base = [tex] \sqrt{s(s - a)(s - b)(s - c)} [/tex]

[tex] = \sqrt{15(15 - 5)(15 - 12)(15 - 13)} [/tex]

[tex] = \sqrt{15 \times 10 \times 3 \times 2} [/tex]

[tex] = \sqrt{5 \times 3 \times 5 \times 2 \times 3 \times 2} [/tex]

[tex] = 2 \times 3 \times 5[/tex]

[tex] = 30 \: {cm}^{2} [/tex]

Now, let's find the volume of triangular pyramid

[tex] = \frac{1}{3} \times a \times h[/tex]

[tex] = \frac{1}{3} \times 30 \times 12[/tex]

[tex] = 120 \: [/tex] cm³

Hope this helps..

best regards!!

Answer:

(-2, 5/3)

Step-by-step explanation:

Step 1: Write out systems of equations

y = 2/3x + 3

x = -2

Step 2: Substitution

y = 2/3(-2) + 3

y = -4/3 + 3

y = 5/3

Step 3: Write solution

(-2, 5/3)

Answer:

[tex]\boxed{(-2, \frac{5}{3} )}[/tex]

Step-by-step explanation:

y = 2/3x+3

x = -2

Plug x as -2 in the first equation.

y = 2/3(-2) + 3

Solve for y.

y = -4/3 + 3

y = -4/3 + 3/1

y = -4/3 + 9/3

y = 5/3

The value of x is given already as -2.

The value of y is 5/3.

The solution to the system of equations is (-2, 5/3).

Answer:

-61/4

Step-by-step explanation:

-1/2 + x = - 21/4 - 23/4 - 19/4

-1/2 + x = -(21+23+19)/4

x = -63/4 + 1/2

x= -63/4 + 2/4

x = -61/4

Hope that helps, tell me if you need further explanation. =)

Answer:

B. -19/4

Step-by-step explanation:

-1/2 + x = -21/4

x = -21/4 + 2/4

x = -19/4

Answer: B. -19/4

Answer: no solution

Step-by-step explanation:

-2(x-7)+3(x+5)=x+9

Distribute

-2x+14+3(x+5)=x+9

Distribute

-2x+14+3x+15=x+9

Combine like terms

x+29=x+9

Subtract(x)

29=9

Because 29 does not equal 9, the equation has no solutions

Hope it helps <3

Answer:

There is no solution.

Step-by-step explanation:

[tex] - 2(x - 7) + 3(x + 5) = x + 9[/tex]

Distribute -2 through the parentheses

[tex] - 2x + 14 + 3(x + 5) = x + 9[/tex]

Distribute -3 through the parentheses

[tex] - 2x + 14 + 3x + 15 = x + 9[/tex]

Collect like terms

[tex]x + 14 + 15 = x + 9[/tex]

Add the numbers

[tex]x + 29 = x + 9[/tex]

Cancel equal terms on both sides of the equation

[tex]29 = 9[/tex]

The statement is false for any value of x

Hope this helps..

Best regards!!

Answer: 4cm

Step-by-step explanation:

Ok so no matter the orientation of the carton, it will contain the same volume of milk. We can use the fact it's volume of milk will stay constant to find out it's new depth.

Before being turned over the milk volume is:

5 * 8 * 12 = 480. This is because the volume of a cuboid is length * width * height (depth).

Therefore the volume of the milk once turned over is 480

When on it's side, the volume of the milk equals

8 * 15 (the base) * depth

120 * depth

120 * depth = 480

so the depth = 4cm

Answer: The least possible value of k is -6.

Step-by-step explanation:

Let 'k' be the negative even integer that is greater than -7.86 .

On number line, -7.86 lies between -7 and -8 such that

-7 > -7.86 > -8

So, -7 is the least integer that is greater than -7.86.

Since, -6 > -7 . That means -6 is the least negative even integer that is greater than -7.86 .

Hence, the least possible value of k is -6.

Answer:

500cm or 5 meters

Step-by-step explanation:

The ratio of drawing and field is 1:90.

So we have to make 450 m into cm.

450 -> is 45,000

Now we can make 2 fractions,

[tex]\frac{1}{90}=\frac{x}{45000}[/tex]

Cross multiply

90*x = 90x

1*45000 = 45000

90x = 45000

Divide 90 to both sides

x = 500cm

Thus,

the drawing's field is 500cm or 5m long.

Hope this helps :)

Answer:

25.4 degrees

Step-by-step explanation:

Use the inverse sine function to calculate

Answer:

Add equations A + B to eliminate y

Then add equations A and C to eliminate y

Step-by-step explanation:

Since all the equations have y with a coefficient of 2, I would eliminate y

Add equations A + B to eliminate y

Then add equations A and C to eliminate y

Answer:

the 3rd choice

Answer:

1. 677 inches = 18.056 yards

677 inches  = 56.416 feet

677 inches = 677 inches

2. QP = 23.5 cm

3. The perimeter = 53.5 cm

Step-by-step explanation:

1. To convert, 677 inches to yards, we have;

1 inch = 0.0277778 yards

677 inches = 677*0.0277778 = 18.056 yards

To convert, 677 inches to feet, we have;

1 inch = 0.083333 feet

677 inches = 677*0.083333  = 56.416 feet

To convert, 677 inches to inches, we have;

1 inch = 1 inch

677 inches = 677*1  = 677 inches

2. We have that ∠PRQ and ∠PRS are supplementary angles (angles on a straight line

Given that ∠PRS = 90°, ∠PRQ = 180° - 90° = 90°;

∠PRQ + ∠PQR + ∠RPQ = 180°, sum of angles in a triangle

∠PQR = 24° given

∠PRQ = 90°

∴  ∠RPQ = 180° - 90° - 24° = 66°

∴∠SPQ = ∠SPR + ∠RPQ = 36° + 66° = 102°

∠QSP + ∠SPQ + ∠PQS = 180° (sum of angles in a triangle)

∠QSP = 180° -∠SPQ - ∠PQS = 180° -102° - 24 = 54°

By sine rule, we have;

a/(sin(A)) = b/(sin(B))

Therefore, we have;

11.8/(sin(24)) = QP/(sin(54°))

QP = (11.8/(sin(24))) × (sin(54°)) = 23.5 cm

3. From trigonometric ratios, we have;

tan(43°) = BC/CA = BC/(16.2 cm)

BC = 16.2 cm × tan(43°) = 15.1

By Pythagoras theorem, we have;

AB = √(15.1² + 16.2²) = 22.2

The perimeter = 15.1 + 16.2 + 22.2 = 53.5 cm

Answer:

Y= -1/5x + 1

Step-by-step explanation:

Just type it on a graphing calculator an click graph

Answer:

6.93 cm

Step-by-step explanation:

You have a right triangle (90°), so you do as follow:

If I understand correctly, you are looking for the hypotenuse so

[tex]cos(30) = \frac{PQ}{QR} = \frac{8 cm}{QR}[/tex]

That is equal to [tex]QR = cos(30)*8 cm = 6.928 cm[/tex]