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tatiyna
2 years ago
11

Which of the following statements are true about the graph? Check all that apply.

Mathematics
2 answers:
Alenkasestr [34]2 years ago
4 0

Answer:

the graph has a minimum

Step-by-step explanation:

the minimum is -9

iren [92.7K]2 years ago
4 0

Answer:

the graph has a minimum & the vertex is located at (-1,-9)

Step-by-step explanation:

Minimum is where its like at the bottom opening down. And the vertex is the x value of the minimum point. Maximum is the opposite where the curve is facing upwards and is the highest point where the vertex is the x value of the maximum or highest point.

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For his job at the hardware store, Michael distributes 2,345 packages of screws into 5 equal groups for shipping. How many packa
drek231 [11]

\\
\text{Michael distrinutes  2345 packages of screws into 5 equal groups for shipping.}\\
\\
\text{we need to find the number of packages of screws in each group.}\\
\\
\text{so for this we use the unitary method.}\\
\\
\text{The number of packages of screws in 5 groups}=2345\\
\\
\text{so the number of packages of screws in 1 group}=\frac{2345}{5}\\
\\
=469

Hence the number of packages of screws in each shipping box is: 469

Hence option (B) is correct.

6 0
3 years ago
Triangle A″B″C″ is formed by a reflection over x = 1 and dilation by a scale factor of 2 from the origin. Which equation shows t
andrew-mc [135]

Answer:

segment AB over segment A double prime B double prime = the square root of 13 over 2 times the square root of 13

Step-by-step explanation:

Triangle ABC has vertices at points A(-3,3), B(1,-3) and C(-3,-3).

1. Reflection over x = 1 maps vertices A, B and C as follows

  • A(-3,3)→A'(5,3);
  • B(1,-3)→B'(1,3);
  • C(-3,-3)→C'(5,-3).

2. Dilation by a scale factor of 2 from the origin has the rule

(x,y)→(2x,2y)

So,

  • A'(5,3)→A''(10,6);
  • B'(1,3)→B''(2,6);
  • C'(5,-3)→C''(10,-6)

See attached diagram for details

Note that

A''B''=2AB\\ \\A''C''=2AC\\ \\B''C''=2BC,\\ \\AB=\sqrt{(-3-1)^2+(3-(-3))^2}=\sqrt{16+36}=\sqrt{52}=2\sqrt{13}

so

\dfrac{AB}{A''B''}=\dfrac{2\sqrt{13}}{2\cdot 2\sqrt{13}}=\dfrac{\sqrt{13}}{2\sqrt{13}}

7 0
3 years ago
tickets at a particular movie theatre have different rates for adults and children. on a friday the theatre sold 4 adult tickets
maria [59]
Using elimination method. Using substitution will cause some fraction problems.

c- child tickets
a- adult tickets

4a + 7c = $83
5a + 6c = $90

multiply by -5

-20a - 35c = -$415
20a + 24c = $360

-11c= -$55
c = $5 child tickets

4a + 7(5)= $83

4a + 35 = $83

4a = $48

a= $12 adult tickets

4 0
3 years ago
If y is directly proportional to x square and y equal 1/8 when x = 1/2 what is the positive value of x when y it was 9/2?
mojhsa [17]

Answer:

d

Step-by-step explanation:

Given y is directly proportional to x² then the equation relating them is

y = kx² ← k is the constant of proportion

To find k use the condition y = \frac{1}{8} when x = \frac{1}{2}, then

\frac{1}{8} = k(\frac{1}{2} )² = \frac{1}{4} k ( multiply both sides by 8 )

1 = 2k ( divide both sides by 2 )

k = \frac{1}{2}

y = \frac{1}{2} x² ← equation of proportion

When y = \frac{9}{2} , then

\frac{9}{2} = \frac{1}{2} x² ( multiply both sides by 2 )

9 = x² ( take the square root of both sides )

x = ± \sqrt{9} = ± 3

with positive value x = 3 → d

8 0
3 years ago
Solve for “z.”<br><br> Please help!
Darya [45]

Answer: Z=5

Step-by-step explanation:

Solve the rational equation by combining expression and isolating the variable z

7 0
2 years ago
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