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KonstantinChe [14]

3 years ago

8

The sum of eight and eleven times a number is 151. What is the number? A) Translate the statement above into an equation that yo

u can solve to answer this question. Do not solve it yet. Use x x as your variable.

1 answer:

arlik [135]3 years ago

8 0

Answer:

The number is 13.

Step-by-step explanation:

We are given the following in the question:

Let x be the variable, then according to the question

"The sum of eight and eleven times a number is 151"

We can write the equation:

$8 + 11x = 151$

Solving the equation, we can write:

$8 + 11x = 151\\11x = 151-8\\11x = 143\\x = 13$

Thus, the number is 13.

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Solve x2 + 6x + 7 = 0. (2 points)

Alexandra [31]

Option C: $$x=-3 \pm\sqrt{2}$

Solution:

Given equation is $x^{2}+6 x+7=0$ .

This is a quadratic equation.

Here a = 1, b = 6, c = 7

To solve the given equation by quadratic formula,

$$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Substitute the given values in the quadratic formula, we get

$$x=\frac{-6 \pm \sqrt{6^{2}-4 (1) (7)}}{2 (1)}$

$$x=\frac{-6 \pm \sqrt{36-28}}{2 }$

$$x=\frac{-6 \pm \sqrt{8}}{2 }$

$$x=\frac{-6 \pm2 \sqrt{2}}{2 }$

$$x=\frac{2(-3 \pm\sqrt{2})}{2 }$

2 in the numerator and denominator are cancelled.

$$x=-3 \pm\sqrt{2}$

Option C is the correct answer.

8 0

3 years ago

What are the solutions of the equation x4 95x2 Ă˘â‚¬"" 500 = 0? Use factoring to solve.

liq [111]

All the values of the <em>x</em> <em> </em>for the given function are $\sqrt{5},-\sqrt{5}, 10i$ and $-10i$ .

Given-

Given function is,

$x^{4}+95x^2-500=0$

Rewrite the equation,

$(x^2)^2+95x^2-500=0$

Let <em>u </em>in place of $x^2$ and rewrite the equation in the form of u,

$u^2+95u-500=0$

Break the 95 in factors and rewrite the equation,

$u^2+100u-5u-500=0$

$u(u+100)-5(u+100)=0$

$(u+100)(u-5)=0$

Replace the value of u with $x^2$ ,

$(x^2+100)(x^2-5)=0$

It is known that If any individual factor on the left side of the equation is equal to zero then the entire expression will be equal to zero. therefore we get,

$x^2-5=0$

further, solve it,

$x^2=5$

$x=\sqrt{5},-\sqrt{5}$

And another factor is

$x^2+100=0$

$x^2=-100$

$x=10i,-10i$

Hence, all the values of the <em>x </em>for the given function are $\sqrt{5},-\sqrt{5},$ $10i ,$ and $-10i$ .

For more about the factorization, follow the link below-

brainly.com/question/6810544

5 0

3 years ago

Simplified, -14xy − (-3xy) is

Debora [2.8K]

Answer:

-11xy

Step-by-step explanation:

-14xy -(-3xy)

multiply the bract first - sign * minus sign is plus sign

-14xy+3xy

since they are like terms u can subtract them.u should subtract them because minus and plus means subtract and we should put minus sign in front of the answer because 14 is the highest number and it's sign is negative .

-11xy

5 0

3 years ago

Simplify the expression.<br> 4(b−6) +19

Genrish500 [490]

4(b - 6) + 19 # Starting equation
4b - 24 + 19 # Using the distributive property
4b - 5 # Simplified expression

7 0

3 years ago

The fastest elevators in the Burj Khalifa can travel 330 feet in just 10 seconds.

OLga [1]

Answer:

363 ft

Step-by-step explanation:

We can use a ratio to solve

330ft x ft

------------ = ---------------

10 seconds 11 seconds

Using cross products

330*11 = 10x

Divide by 10

330*11/10 = x

363 = x

3 0

2 years ago

Read 2 more answers