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3 years ago

What is 5 times the sum of 7 and 23 in numerical expression

1 answer:

3 0

5(7 + 23) because you are multiplying 7 + 23 by 5. This is a numerical expression because it has numbers and opperations. This is not an algebraic expression because there are NO variables. Hope this helps :)

You might be interested in

6.73 - 2x5 to the 0 power divided by 2

djyliett [7]

If you mean $\frac{6.73 - 2}{2}\$ , then the answer is going to be

6.73 - 2 = 4.73

4.73/2 = 2.365 (though it may be 2.37 because you have to round it)

8 0

3 years ago

The ratio of boys to girls in homeroom is 2:3 if there are 8 boys how many girls are there?

nlexa [21]

2:3
1) multiply the first number (boys) by 4 to get 8

8:3

2) multiply second number by 4 as well

8:12

Answer: 12 girls

8 0

3 years ago

What is q? For this 30 and 60, 90 angle?

Effectus [21]

30 60 90 triangle
ratio of short leg : long leg = a : a√3

Given long leg = 9 cm
so
short leg = 9 / √3
= 3√3
= √27
= 27^(1/2) <..........(radical form)

Hope it helps.

8 0

3 years ago

The U.S. Energy Information Administration (US EIA) reported that the average price for a gallon of regular gasoline is $2.94. T

Anit [1.1K]

Answer:

a) 25

b) 67

c) 97

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample. In this problem, $\sigma = 0.25$

(a) The desired margin of error is $0.10.

This is n when M = 0.1. So

$M = z*\frac{\sigma}{\sqrt{n}}$

$0.1 = 1.96*\frac{0.25}{\sqrt{n}}$

$0.1\sqrt{n} = 1.96*0.25$

$\sqrt{n} = \frac{19.6*0.25}{0.1}$

$(\sqrt{n})^{2} = (\frac{19.6*0.25}{0.1})^{2}$

$n = 24.01$

Rounding up to the nearest whole number, 25.

(b) The desired margin of error is $0.06.

This is n when M = 0.06. So

$M = z*\frac{\sigma}{\sqrt{n}}$

$0.06 = 1.96*\frac{0.25}{\sqrt{n}}$

$0.06\sqrt{n} = 1.96*0.25$

$\sqrt{n} = \frac{19.6*0.25}{0.06}$

$(\sqrt{n})^{2} = (\frac{19.6*0.25}{0.06})^{2}$

$n = 66.7$

Rounding up, 67

(c) The desired margin of error is $0.05.

This is n when M = 0.05. So

$M = z*\frac{\sigma}{\sqrt{n}}$

$0.05 = 1.96*\frac{0.25}{\sqrt{n}}$

$0.05\sqrt{n} = 1.96*0.25$

$\sqrt{n} = \frac{19.6*0.25}{0.05}$

$(\sqrt{n})^{2} = (\frac{19.6*0.25}{0.05})^{2}$

$n = 96.04$

Rounding up, 97

8 0

3 years ago

What is a solution to the system of equations that includes quadratic function f(x) and linear function g(x)? f(x) = 2x2 + x + 4

olga_2 [115]

The solution to the system of equations that includes quadratic function f(x) and linear function g(x) is

$(\sqrt{2},\sqrt{-2} )$ and $((7+\sqrt{2)} ,(7+\sqrt{-2}))$

We have given that,

f(x) = 2x^2 + x + 4

x g(x)

-2 1

-1 3

0 5

1 7

2 9

<h3>What is a polynomial function?</h3>

A polynomial function is a relation where a dependent variable is equal to a polynomial expression.

A polynomial expression is an expression including numbers and variables, where variables are raised to non-negative powers.

The general form of a polynomial expression is:

a₀ + a₁x + a₂x² + a₃x³ + ... + anxⁿ.

The highest power to a variable is the degree of the polynomial expression. When degree = 2, the function is a quadratic function.

When degree = 1, the function is a linear function.

<h3>How do we solve the given question?</h3>

The quadratic function is given to us:f(x) = 2x^2 + x + 4.

We need to determine the linear equation g(x).

Since it's a linear equation we use the two-point method to determine the equation.

<h3>What is the two-point?</h3>

y-y₁ = ((y₂-y₁)/(x₂-x₁))*(x-x₁)

We take the points g(-2) =1, g(-1) = 3

g(x) - g(1) = ((g(-2)-g(-1))/(-2+1))*(x-1)or,

g(x) - 1 = ((-2-(-1))/(-2+1))*(x-1)or, g(x) - 1 = -1(-x+1)or,

g(x) = x - 1 + 1 = x

∴ g(x) = x , is the linear function g(x)

We are asked to find the solution to the system of equations f(x) and g(x).To find the solution we need to check what is the common solution to both f(x) and g(x).

For that, we equate f(x) and g(x).2x^2 + x + 4 = x or, 2x² - x +x- 4 = 0or, 2x^2 - 4 = 02(x^2-2)=0x^2-2=0 $x^2-\sqrt{2}=0$ $(x-\sqrt{2}) (x+\sqrt{2})=0$ $(x-\sqrt{2})=0 \\x=\sqrt{2} or x=-\sqrt{2}$ g(-1) = 3(from the table) $g(\sqrt{2})=\sqrt{2} \ and \ g(\sqrt{-2}) =-\sqrt{2}$ $f(\sqrt{2}) = 2(\sqrt{2} )^2 + (\sqrt{2} ) + 3\\=2(2)+\sqrt{2} +3\\=7+\sqrt{2}$ $g(-\sqrt{2} )= 2(\sqrt{-2} )^2 + (\sqrt{-2} ) + 3\\=2(2)+\sqrt{-2} +3\\=7+\sqrt{-2}$

The solution to the system of equations that includes quadratic function f(x) and linear function g(x) is $(\sqrt{2},\sqrt{-2} )$ and $((7+\sqrt{2)} ,(7+\sqrt{-2}))$

Learn more about linear and quadratic equations at

brainly.com/question/14075672

#SPJ1

5 0

2 years ago