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2 years ago

Fide f (-4) evaluate the function

Mathematics

1 answer:

Tems11 [23]2 years ago

3 0

<h3>Solution:</h3>

$f(x) = { - x}^{2} - 10 \\ = > f( - 4) = - ( - 4)^{2} - 10 \\ = - 16 - 10 \\ = - 26$

<h3>Answer:</h3>

The answer is -26.

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Find the equality represented by the graph?

Talja [164]

Answer:

$-x+4y$

Step-by-step explanation:

Given: graph

To find:the inequality

Solution:

Equation of a line passing through points $(x_1,y_1),(x_2,y_2)$ is given by $y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

Take $(x_1,y_1)=(0,3),(x_2,y_2)=(4,4)$

So,equation of line is evaluated as follows:

$y-3=\frac{4-3}{4-0}(x-0)\\ y-3=\frac{x}{4}\\ 4y-12=x\\-x+4y=12$

As per the graph,inequality is $-x+4y$

Here, use sign < and not $\leq$ as line in the graph is dotted that is points on the line are excluded.

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2 years ago

Kamila buys a notebook for $1.59 and pens for $0.29 each. She spends $5.07.

emmasim [6.3K]

Answer:

12 pens

Step-by-step explanation:

Let the variable that can be used to determine the number of pens that Kamila bought be represented by n.

Price of a notebook = $1.59

Price a pen = $0.29

Total amount spent = $5.07

But,

1.59 + 0.29 n = 5.07

So that,

0.29 n = 5.07 - 1.59

0.29 n = 3.48

n = $\frac{3.48}{0.29}$

= 12

Therefore, Kamila bought 12 pens.

6 0

2 years ago

At noon Joyce drove to the lake at 30 miles per hour. but she made the long walk back home at 4 miles per hour. How long did she

mars1129 [50]

Answer:

60 miles

Step-by-step explanation:

let d = distance to the lake

Using: time = distance ÷ speed

Create expressions for the time it takes for each journey:

Drive: $t_1=\dfrac{d}{30}$

Walk: $t_2=\dfrac{d}{4}$

If total time = 17 hours

$\implies t_1+t_2=17$

$\implies \dfrac{d}{30}+\dfrac{d}{4}=17$

$\implies \dfrac{17d}{60}=17$

$\implies 17d=1020$

$\implies d=\dfrac{1020}{17}$

$\implies d=60$

Therefore she walked 60 miles

3 0

1 year ago

Read 2 more answers

A pitcher struck out 11 out of 40 batters. Write an equivalent decimal.

Komok [63]

Answer:

0.275

Step-by-step explanation:

We want to write 11 out of 40 batters as a decimal.

We can write 11 out of 40 as a fraction to get:

$\frac{11}{40}$

Note that:

$\frac{11}{40} = \frac{1}{4} \times \frac{11}{10}$

This implies that:

$\frac{11}{40} = 0.25 \times 1.1$

This gives us

$\frac{11}{40 } = 0.275$

5 0

2 years ago

Which of the following represents a combination? Select all that apply.

Svetradugi [14.3K]

Answer:

Combinations:

A committee consisting of three members with the same role

Selecting two sandwiches from a menu of 10

Step-by-step explanation:

A combination is a selection of items from a collection, such that the order of selection does not matter.

A permutation is a selection of items from a collection, such that the order of selection matters.

A. The PIN for a bank or credit card - order matters → permutation

B. A committee consisting of three members with the same role - order does not matter → combination

C. A committee consisting of a president, vice president, and secretary - order matters → permutation

D. Final standings in a professional sports league - order matters → permutation

E. Selecting two sandwiches from a menu of 10 - order does not matter → combination

3 0

3 years ago