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Arte-miy333 [17]
3 years ago
9

Which inequality statement best represents the graph below?

Mathematics
2 answers:
lbvjy [14]3 years ago
7 0
Graph A is correct.  The ≥ sign is correct because the gray area is above the red.  x^2 has a positive coefficient which corresponds to the opening-up parabola.
Aneli [31]3 years ago
5 0

Answer:

Option A.

Step-by-step explanation:

(1) The given graph is a parabola, opening upwards. So coefficient of highest degree term of the function will be positive. [ f(x) = +ax² + bx + c where a > 0 ]

(2) Since parabola has been graphed by a solid line so there will be the sign of "equality". [ f(x) = ax² + bx + c ]

(3) Colored part is below the parabola so there will be an inequality showing "less than notation." [ f(x) < ax² + bx + c ]

therefore, from the given options option (A) f(x) ≤ x² - x - 1 is the answer.

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Which expression could be used to determine the reduction of -4 and 3 1/4
Setler79 [48]

Answer:

The expression that could be used is (-4)(3) + (-4)(\frac{1}{4}) ⇒ B

Step-by-step explanation:

Let us revise the distributive property:

<em>The product of a number and the sum of 2 other numbers equal to the sum of the products of the number with the other 2 numbers</em>

  • a(b + c) = ab + ac

We will use this rule to solve the question

∵ The product of -4 and 3\frac{1}{4} = -4 × 3\frac{1}{4}

→ We can right 3\frac{1}{4}  as (3 + \frac{1}{4} )

∵ 3\frac{1}{4} = (3 + \frac{1}{4} )

∴ -4 × 3\frac{1}{4} = -4(3 + \frac{1}{4} )

→ By using the rule above

∵ -4(3 + \frac{1}{4} ) = (-4)(3) + (-4)(\frac{1}{4})

∴ -4 × 3\frac{1}{4}  = (-4)(3) + (-4)(\frac{1}{4})

∴ The expression that could be used is (-4)(3) + (-4)(\frac{1}{4})

3 0
3 years ago
Hala, Ahmed and Eman have 90 sweets. They decide to divide them in the ratio of their ages, which are 2 years, 7 years and 9 yea
vivado [14]

Answer:

Hala would have 10 candies, Ahmed would have 35, and Eman would have 45.

Step-by-step explanation:

if the candy is given out 2:7:9, add the numbers and devide. 90 ÷ 18 is five so multiply each number by 5 to get 10:35:45

8 0
3 years ago
Enter an inequality that represents the graph in the box.
mamaluj [8]

We know the y intercept is -6 and we know the slope is positive 4 (rise over run) so the equation is y=4x-6 if we plug in a shaded point (I would choose 0,0 for convenience reasons) 0=-6 since -6 is less than 0, the expression would be y≥4x-6

4 0
3 years ago
A line passes through the points (1, 4) and (3, 4). Which is the equation of the line?
xeze [42]

Answer:

y = -4x + 8

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Step 1: Find slope <em>m</em>

<em />m=\frac{-4-4}{3-1}<em />

<em />m=\frac{-8}{2}<em />

m = -4

y = -4x + b

Step 2: Find y-intercept <em>b</em>

4 = -4(1) + b

4 = -4 + b

8 = b

Step 3: Rewrite linear equation

y = -4x + 8

8 0
4 years ago
-\frac{9x}{4}=27
IRISSAK [1]

\bf \cfrac{-9x}{4}=27\implies \stackrel{\textit{cross multiplying}}{-9x=4(27)}\implies x=\cfrac{4(27)}{-9}\implies x=4\cdot \cfrac{27}{-9} \\\\\\ x=4\cdot -3\implies x=-12

4 0
3 years ago
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