All categories

1 year ago

Hi, can anyone help me with this one here? Thanks.

Mathematics

1 answer:

Nezavi [6.7K]1 year ago

8 0

Answer:

Option 4

Step-by-step explanation:

Let $f(x)=ax^2+bx+c$ .

$f(0)=a(0)^2+b(0)+c=-4 \implies c=-4 \\ \\ f(-1)=a-b-4=-3 \implies a-b=1 \\ \\ f(2)=4a+2b-4=6 \implies 2a+b=5 \\ \\ \therefore (a-b)+(2a+b)=6 \implies a=2 \implies b=1 \\ \\ \therefore f(x)=2x^2+x-4$ .

You might be interested in

Which one of the following is a better buy: a large pizza with a 14-inch diameter for $13.00 or a medium pizza with a 7-inch dia

bija089 [108]

Answer:

Large pizza is the answer

6 0

3 years ago

A factory packed 9600kg of flour in to small bags and large bags. Each small bag contained 3kg of flour and each large bag conta

yawa3891 [41]

Answer:

696 large bags of flour were packed.

Step-by-step explanation:

Let large bags of flour be 'y'

Let small bags of flour be 'x'. That is x=2040 (according to the question)

$(3 \times x) + (5 \times y) = 9600$

$(3 \times 2040) + ( 5 \times y) = 9600$

$(6120) + (5 \times x) = 9600$

$(5 \times x) = 9600 - 6120$

$(5 \times x) = 3480$

$x = 3480 \div 5$

$x = 696$

HOPE IT HELPS

#PEACE

5 0

3 years ago

Josiah and his friends are going to the movies. Each ticket costs $10, and popcorn is $5 a bag. There is a $3 service fee for th

Free_Kalibri [48]

Make sure you check this because i do make mistakes.

10 x 4 = 40

75 - 40 = 35

So josiah has 35 dollars to spend for things other than tickets.

35 - 3 = 32 (for the service fee)

So josiah has 32 dollars to spend on popcorn

32/5 = 6.4 but you cant have half a bag of popcorn so

6 bags

8 0

3 years ago

Solve for C.<br> -5/8c=20

iris [78.8K]

-5/8c = 20....multiply both sides by -8/5 (this cancels out the -5/8 on the left
c = 20(-8/5)
c = -160/5
c = - 32

check..
-5/8(-32) = 20
160/8 = 20
20 = 20 (correct)

so c = -32

8 0

3 years ago

The solution set for the inequality x + 4 ≤ 1/2 (x - 3) includes -11 as an element.

Sindrei [870]

Answer:

<h2>x ≤ -11, Yes. The solution set include -11.</h2>

Step-by-step explanation:

$x+4\leq\dfrac{1}{2}(x-3)\qquad\text{multiply both sides by 2}\\\\2x+8\leq1(x-3)\\\\2x+8\leq x-3\qquad\text{subtract 8 from both sides}\\\\2x\leq x-11\qquad\text{subtract x from both sides}\\\\\boxed{x\leq-11}$

6 0

3 years ago