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3 years ago

What value of x makes the equation true?

Mathematics

2 answers:

dedylja [7]3 years ago

8 0

Answer: The correct option is

(A) -4.

Step-by-step explanation: We are given to find the value of x that makes the following equation true :

$1.4x+2.6x=-16~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

To find the value of x, we must solve the given equation.

The solution of equation (i) is as follows :

$1.4x+2.6x=-16\\\\\Rightarrow (1.4+2.6)x=-16\\\\\Rightarrow 4x=-16\\\\\Rightarrow x=-\dfrac{16}{4}\\\\\Rightarrow x=-4.$

Thus, the required value of x is -4.

Option (A) is CORRECT.

NNADVOKAT [17]3 years ago

5 0

x= -4 because 1.4 times -4=- 5.6 and 2.6 times -4=-10.4 and when we add to numbers postive or negative numbers it stays positive or negative depnding on the problem and 10.4 + 5.6 + 16 however becuase both were negative the answers stays negative making the answer _ 16 and it says 1.4x+2.6x=-16 so the correct answer is x= -4

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Learn with an example

Marina86 [1]

Answer:

$\large{\textbf{f(g(x)) = 20}\\}$

Step-by-step explanation:

$\large{\textup{Given}:\\$f(x) = 5x $ \hspace{5mm} \& \hspace{5mm} $g(x) = 4x $\\$$ f \circ g(x) = f(g(x)) $$\\$ \implies f(g(x)) = f(5x) $\\\textup{i.e., To substitute $5x$ instead of $x$ in $f(x)$}\\$\implies f(5(x)) = 4(5(x)) = 20x \\ $\textup{Now,}$f(g(1)) = 20(1) =20$}$

7 0

3 years ago

What is the intermediate step in the form (x+a)2 = b as a result of completing the square for the following

skelet666 [1.2K]

For this case we have the following expression:

$x ^ 2-4x + 10 = 4x + 10$

We follow the steps below:

We subtract 4x on both sides of the equation:

$x ^ 2-4x + 10-4x = 4x + 10-4x\\x ^ 2-8x + 10 = 10$

We subtract 10 from both sides of the equation:

$x ^ 2-8x + 10-10 = 10-10\\x ^ 2-8x = 0$

Now, we must complete squares.

When we have an equation of the form:

$ax ^ 2 + bx + c = 0$ , if we want to complete squares we must subtract c on both sides of the equation obtaining:

$ax ^ 2 + bx + c-c = -c\\ax ^ 2 + bx = -c$

The square is completed by adding to both sides of the equation: $(\frac{b}{2})^{2}$

So, we have left:

$ax^2+bx + (\frac {b} {2})^{2} = - c + (\frac {b} {2}) ^ {2}$

In the given expression we have:

$a = 1\\b = -8\\c = 0$

And to complete the square we have:

$(\frac {b} {2}) ^ {2} = (\frac {-8} {2}) ^ {2} = 16$

Rewriting we have:

$x ^ 2-8x + 16 = 16$

We factor the left side of the equation, that is, we look for two numbers that when added together result in -8 and when multiplied as a result 16. We have:

$-4-4 = -8\\-4 * -4 = 16$

So, we have:

$(x-4) (x-4) = 16\\(x-4) ^ 2 = 16$

Answer:

The intermediate step is to complete squares

$(x-4) ^ 2 = 16$

7 0

4 years ago

Por un kilo y medio de merluza se ha pagado 21,30 €. A cuanto estaba el kilo?

SCORPION-xisa [38]

Lo siento mucho, no hablo muy bien español ... ¡Ojalá pudiera! Sería mucho más útil de esa manera

5 0

3 years ago

What is the value of k in the equation?

RSB [31]

Answer:

k=67/1360

Step-by-step explanation: Step 1: Simplify both sides of the equation.

201=4080k

Step 2: Flip the equation.

4080k=201

Step 3: Divide both sides by 4080.

4080k

4080

201

4080

1360

Answer:

1360

3 0

3 years ago

Read 2 more answers

the middle School golf team is selling golf balls to raise $850 for new equipment they sell golf balls for $2 each a case has 24

aniked [119]

Answer:

The number of cases of golf ball that team needed to raise money for equipment is 3 .

Step-by-step explanation:

Given as :

The amount needed for new equipment = $850

The cost of each golf ball = $2

The number of packs of golf ball in each case = 24

The number of golf ball in each pack = 6

Let The number of cases of golf ball team needed to raise money for equipment = n cases

Now, According to question

∵ 1 pack has 6 balls

so, 24 pack has 6 × 24

i.e 24 packs has 144 balls

So, The number of balls in each case` = 144 balls

<u>Again</u>

∵ cost of 1 ball = $2

So, cost of 144 balls = $2 × 144

i.e cost of 144 balls in each case = $288

<u>Again</u>

∵ The amount needed for new equipment = $850

So, The number of cases of golf ball team needed to raise money for equipment = $\dfrac{amount needed for new equipmen}{cost of 144 balls in each case }$

Or, n = $\dfrac{850}{288}$

∴ n = 2.9 ≈ 3

So, The number of cases of golf ball that team needed to raise money for equipment = n = 3

Hence, The number of cases of golf ball that team needed to raise money for equipment is 3 . Answer

3 0

3 years ago