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3 years ago

Callie wrote this number to show the change in volume of a water cooler after practice. -9/10

Mathematics

1 answer:

klio [65]3 years ago

8 0

B) -9/10

ONLY one value must have the negative sign, otherwise it will be a positive value

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<img src="https://tex.z-dn.net/?f=%28x%20-%207%29%28x%20-%205%29" id="TexFormula1" title="(x - 7)(x - 5)" alt="(x - 7)(x - 5)" a

Rufina [12.5K]

$\huge\textsf{Hey there!}$

$\large\textsf{(x - 7) (x - 5)}$

$\large\text{DISTRIBUTE each of the numbers}$

$\large\textsf{x(x) + (-5)x + (-7(x) + (-7)(-5)}$

$\large\textsf{x(x) = \bf x}\bf ^2$

$\large\textsf{x(-5) = \bf -5x}$

$\large\textsf{-7(x) = \bf -7x}$

$\large\textsf{(-7)(-5) = \bf 35}$

$\mathsf{x^2 - 5x -7x + 35}$

$\large\text{COMBINE the LIKE TERMS}$

$\mathsf{x^2 -(5x - 7x) + 35}$

$\mathsf{-5x -7x = \bf -12x}$

$\mathsf{x^2 - 12x + 35}$

$\boxed{\huge\text{Answer: \bf x}^2 \huge\text{\bf - 12x + 35}}\huge\checkmark$

$\large\text{Good luck on your assignment and enjoy your day!}$

~ $\frak{Amphitirite1040:)}$

3 0

3 years ago

Read 2 more answers

There are 15 books on a shelf. 9 of these books are new. The rest of them are used. what is the ratio of all books

Andrew [12]

Answer:

a)15:6 b)2:3

Step-by-step explanation:

No. of used books=15-9=6

a) 15:6

6:9

2:3

6 0

3 years ago

PLEASE HELP!! How many solutions can be found for the equation −4x − 11 = 2(x − 3x) + 13?

PilotLPTM [1.2K]

Answer: $No~Solution$ $s$

Step-by-step explanation:

Let's factor then solve to find the complex solutions.

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : $-4x-11=2(x-3x)+13$

Equations that are never true:

$1.1 ~~~~ Solve : -24 = 0$

This equation has no solution.

A non-zero constant never equals zero.

Therefore your answer is $No~Solution$

3 0

2 years ago

In a study, researchers wanted to measure the effect of alcohol in the development of the hippocampal region in adolescents. The

lbvjy [14]

Answer:

Kindly check explanation

Step-by-step explanation:

Given :

Sample size, n = 30

Tcritical value = 2.045

Null hypothesis :

H0: μ = 9.08

Alternative hypothesis :

H1: μ≠ 9.08

Sample mean, m = 8.25

Samole standard deviation, s = 1.67

Test statistic : (m - μ) ÷ s/sqrt(n)

Test statistic : (8.25 - 9.08) ÷ 1.67/sqrt(30)

Test statistic : - 0.83 ÷ 0.3048988

Test statistic : - 2.722

Tstatistic = - 2.722

Decision region :

Reject Null ; if

Tstatistic < Tcritical

Tcritical : - 2.045

-2.722 < - 2.045 ; We reject the Null

Using the α - level (confidence interval) 0.05

The Pvalue for the data from Tstatistic calculator:

df = n - 1 =. 30 - 1 = 29

Pvalue = 0.0108

Reject H0 if :

Pvalue < α

0.0108 < 0.05 ; Hence, we reject the Null

4 0

3 years ago

Analyze prism shown, thank you.

inn [45]

A.
Faces - 8
Lateral Faces - 6

B.
Vertices - 12

C.
Edges - 18

D.
The base of the prism is a hexagon and the figure as a whole is a hexagonal prism.

6 0

4 years ago