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irga5000 [103]
3 years ago
8

he function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative 5

, 0), has a vertex at (negative 2, 9), and goes through (1, 0). Which statement about the function is true? The domain of the function is all real numbers less than or equal to −2. The domain of the function is all real numbers less than or equal to 9. The range of the function is all real numbers less than or equal to −2. The range of the function is all real numbers less than or equal to 9.
Mathematics
1 answer:
KIM [24]3 years ago
5 0

Answer: The range of the function is all real numbers less than or equal to 9.

Step-by-step explanation:

  • Since the parabola opens down, that means the vertex marks the maximum y-value of the function.
  • The vertex is (-2, 9). Therefore the maximum y-value is 9 and the range of the function will be all real numbers less than or equal to 9.
  • There are no limits to the domain.

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The amount of water in a bottle is reduced by 15% to 119 milliliters. How much water was originally in the bottle? ________ ml
lakkis [162]
Answer: 140 ml

Explanation:

let x be the original amount of water

x - 15% = 119
But x = 100% because it’s the original
=> 100% - 15% = 119ml
85% = 119ml

Find the amount of water in 15%:
85% = 119
15% = y

=> 85/15 = 119/y

Cross multiply:
85y = 15 x 119
85y = 1785
y = 1785/85
y = 21

But y = 15% therefore, 15% = 21ml

Back to our equation:
x - 15% = 119ml
x - 21ml = 119ml
x = (119 + 21)ml
x = 140ml

Therefore, the original amount of water is 140ml
7 0
3 years ago
I need some help with this plz :)))))))<br> Subject &gt; Maths
just olya [345]

Answer:

Greater than 5

Step-by-step explanation:

The quotient of 5 1/2 is greater than 5 because if you convert 5 1/2 to a decimal, it becomes 5.5.

5.5 is greater than 5, so the quotient of 5 1/2 is greater than 5.

3 0
3 years ago
What is the slope of the line that passes through the points (4, 9) and (1, 6)?
Aleksandr [31]

a = ( 1 , 6 )

b = ( 4 , 9 )

slope =  \frac{y(b) - y(a)}{x(b) - x(a)} \\

Now just need to put the coordinates in the above equation :

slope =  \frac{9 - 6}{4 - 1} \\

slope =  \frac{3}{3} \\

slope = 1

And we're done...♥️♥️♥️♥️♥️

5 0
3 years ago
Kylie explained that (negative 4 x 9) squared will result in a difference of squares because (negative 4 x 9) squared = (negativ
JulijaS [17]

A perfect square trinomial is the result in algebraic form which is obtained by solving the squared binomial expression. Kylie did not understand that this is a perfect square trinomial and she did not determine the product correctly. Thus the option C is the correct option.

Given information-

The expression for the given problem is,

(-4x+9)^2

<h3>Perfect square trinomial</h3>

A perfect square trinomial is the result in algebraic form which is obtained by solving the squared binomial expression.

The perfect square trinomial can be given as,

ax^2+bx+c

The given expression can be solved as,

(-4x+9)^2=(-4x+9)\times(-4x+9)\\(-4x+9)^2=-4x(-4x+9)+9(-4x+9)\\(-4x+9)^2=16x^2-36x-36x+81\\(-4x+9)^2=16x^2-72x+81

Hence Kylie did not understand that this is a perfect square trinomial and she did not determine the product correctly. Thus the option C is the correct option.

Learn more about the perfect square trinomial here;

brainly.com/question/88561

3 0
3 years ago
What is a unit rate?
qwelly [4]
The numbers or measurements Being compared or called the terms of the ratio a rate is a special ratio in which the two terms are in different units we can raise our expressed as a quantity of one such as 2 ft./s or 5 mph they are called unit rates
8 0
3 years ago
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