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4 years ago

What single decimal multiplier would you use to increase by 14% followed by a 1% decrease?

Mathematics

2 answers:

nadezda [96]4 years ago

7 0

Answer:

1.1286

Step-by-step explanation:

hegartymaths tld me

Alinara [238K]4 years ago

3 0

Answer:

The single decimal multiplier is $x = 1.129$ .

Step-by-step explanation:

The single decimal multiplier is obtained by multiplying the following two numbers in decimal form:

$x = (1 + 0.14)\cdot (1 - 0.01)$

Then, the number is:

$x = 1.129$

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72 is what percent of80

snow_lady [41]

72/80=0.9

0.9*100=9

9%

7 0

3 years ago

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What is the inverse of the function f(x) = 2x + 1?

alina1380 [7]

(x) = x – 2inverse of the function

8 0

3 years ago

Jarrett's puppy weighed 3 3/4 ounces at Birth. At 1 week old, the puppy weighed 5 1/8 ounces. At 2 weeks old, the puppy weighed

Ad libitum [116K]

Answer: The answer is $7\dfrac{7}{8}$ ounces.

Step-by-step explanation: Given in the question the weight of Jarrett's puppy at birth, one week old and 2 weeks old are as follows:

$b_0=3\dfrac{3}{4}=\dfrac{15}{4}~\textup{ounces},\\\\\\b_1=5\dfrac{1}{8}=\dfrac{41}{8}~\textup{ounces},\\\\\\b_3=6\dfrac{1}{2}=\dfrac{13}{2}~\textup{ounces}.$

We can see that

$b_1-b_0=b_2-b_1=\dfrac{11}{8}.$

So, the weight of the baby will make an arithmetic progression with first term 'a' and common difference 'd' as follows:

$b_0=\dfrac{15}{4},~~d=\dfrac{11}{8}.$

Thus, the weight of the puupy after 3 weeks will be

$b_3=b_0+3\times d=\dfrac{15}{4}+3\times\dfrac{11}{8}=\dfrac{30+33}{8}=\dfrac{63}{8}=7\dfrac{7}{8}~\textup{ounces}.$

5 0

4 years ago

Read 2 more answers

If h(x) = x - 7 and g(x) = x?, which expression is equivalent to (gºh)

dangina [55]

Answer:

Step-by-step explanation:

sdrgdgdtdt

3 0

3 years ago

Y = – 2x² + 12x - 7

Vikentia [17]

Answer:

a) axis of symmetry: <em> </em><em>x</em> = <em>h</em>

b) Vertex: (3, 11).

c/d) Maximum point = vertex (3, 11).

Step-by-step explanation:

<em><u>Note:</u></em><em> </em>This post will only provide the answers for parts a through d, in accordance with Brainly's Guidelines.

Given the quadratic equation, y = – 2x² + 12x - 7, where a = -2, b = 12, and c = -7:

<h3> </h3><h3>a) What is equation of the axis of symmetry?</h3>

The <u>axis of symmetry</u> is an imaginary line that divides the graph of a parabola into two symmetrical parts. The axis of symmetry goes through the x-coordinate of the vertex, (<em>h</em>, k). Hence, the axis of symmetry is often represented by the following equation: x = h.

<h3 /><h3>b) What is the vertex?</h3>

We can find the x-coordinate of the vertex by using the following formula:

$\displaystyle\mathsf{x\:=\:\frac{-b}{2a}}$

Substitute the given values for a = -2, and b = 12 into the formula:

$\displaystyle\mathsf{x\:=\:\frac{-(12)}{2(-2)}\:=\:\frac{-12}{-4}\:=\:3}$

Hence, the x-coordinate of the vertex is 3.

Substitute x = 3 into the given quadratic equation to find its corresponding y-coordinate:

y = – 2x² + 12x – 7

y = – 2(3)² + 12(3) – 7

y = –2(9) + 36 – 7

y = – 18 + 36 – 7

y = 11

Therefore, the <u>vertex</u> of the given quadratic equation is (3, 11).

<h3 /><h3>c/d) Does the equation have a maximum or minimum? What is the maximum/minimum?</h3>

The value of the "<em>a</em>" coefficient in the quadratic equation, y = <u>a</u>x² + bx + c, determines whether a given parabola has either a minimum, or a maximum.

If <em>a</em> > 1, then it means that the graph of a parabola opens <u>upward</u>, and the vertex is its <u><em>minimum</em></u> point.

If <em>a</em> < 0, then the graph of a parabola opens downward, and the vertex is its <u><em>maximum</em></u> point.

Since the value of our given quadratic equation is a = -2, then it means that its graph opens <em>downward</em>, and that the <u>vertex is its maximum point</u>.

Attached is a screenshot of the graph, where it shows the vertex occurring at point (3, 11), for which the axis of symmetry goes through at x = 3.

5 0

3 years ago