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1 year ago

Find the x- and y-intercepts of the parabola y=x2+10x+4

Mathematics

1 answer:

Nuetrik [128]1 year ago

6 0

Answer:

x-intercepts: -5 +/- $\sqrt{21}$ . y-intercept: 4

Step-by-step explanation:

For x-intercepts use the quadratic equation

$x= (-b +/-\sqrt{b^2-4ac} )/2a$

Fill in your values:

$x= (-10 +/-\sqrt{100-16} )/2$

And solve

$x=-5 +/- \sqrt{21}$

For y-intercepts set x=0 and solve. In this case, setting x= 0 gives you y=4.

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In Las Vegas, Nevada, stores charge a 4.6% state sales tax and a 3.65% county sales tax. Yuki is purchasing a handbag priced at

GrogVix [38]

Answer:

$18.15

Step-by-step explanation:

We have been given that In Las Vegas, Nevada, stores charge a 4.6% state sales tax and a 3.65% county sales tax. Yuki is purchasing a handbag priced at $220 before tax.

To find sales tax paid by Yuki for her handbag purchase we will find 4.6% of $220 and 3.65% of $220 and add amount of both taxes.

$\text{Total sales tax amount}=\text{State sales tax amount}+\text{ County sales tax amount}$

$\text{State sales tax for handbag}=220\times\frac{4.6}{100}$

$\text{State sales tax for handbag}=22\times 0.46$

$\text{State sales tax for handbag}=10.12$

Now let us find county sales tax for handbag purchase.

$\text{County sales tax for handbag}=220\times\frac{3.65}{100}$

$\text{County sales tax for handbag}=22\times 0.365$

$\text{County sales tax for handbag}=8.03$

Now let us add both amount to get total tax paid by Yuki.

$\text{Total sales tax}=10.12+8.03$

$\text{Total sales tax}=18.15$

Therefore, Yuki paid $18.15 sales tax for her handbag purchase.

8 0

3 years ago

Read 2 more answers

En una nevería, si deseas consumir algún paquete de snacks tiene un costo de $30 y no te cobran la admisión. Si consideras x a l

Pavel [41]

Answer:

goihgtf hhhiittr edfyji hrtioomg trion.

3 0

2 years ago

A moon is about 420000 miles away from it orbits.

Pie

A: $4.2* 10^{5}$

B: 6* $10^{4}$ is 60000 so to find the answer do 420000/60000 to get a final time of 7 hours.

It would take 7 hours to get to the moon

7 0

3 years ago

Which equation represents a line that is perpendicular to the line whose equation is -2y=3x+7

notsponge [240]

Answer:

Any line with the slope of 2/3 would be perpendicular.

Step-by-step explanation:

To find this, first solve the equation for y.

-2y = 3x + 7

y = -3/2x - 7/2

Perpendicular lines always have opposite and reciprocal slopes. Therefore, we flip the slope in the original equation (-3/2 becomes -2/3) and then we change the sign (-2/3 becomes 2/3)

8 0

3 years ago

Gonzalo observa que el grifo del lavabo de un año después el goteo se produce una velocidad de una gota por segundo y cada gota

Sergio [31]

Answer:

La familia de Gonzalo ha despilfarrado 15,768 litros de agua.

Step-by-step explanation:

Dado que Gonzalo observa que el grifo del lavabo gotea luego de un año, y el goteo se produce una velocidad de una gota por segundo y cada gota contiene 0.5ml de agua, para determinar cuántos litros de agua ha despilfarrado la familia de Gonzalo desde que ellos se dieron cuenta de la avería se debe realizar el siguiente cálculo:

1 año = 365 dias x 24 horas x 60 minutos x 60 segundos

0.5 x 60 x 60 x 24 x 365 = X

30 x 60 x 24 x 365 = X

1800 x 24 x 365 = X

43,200 x 365 = X

15,768,000 = X

15,768,000 / 1000 = X

15,768 = X

Por lo tanto, la familia de Gonzalo ha despilfarrado 15,768 litros de agua.

5 0

2 years ago